Solve the following system of linear equations by graphing:
4x + 2y = -4
4x + 2y = -20

Graph the linear equations by writing the equations in slope-intercept form:

y= ___x + ___
y= ___x + ___

Identify the appropriate number of solutions. If there’s a solution, give the point.

Solve The Following System Of Linear Equations By Graphing:4x + 2y = -44x + 2y = -20Graph The Linear

Answers

Answer 1

Answer:

No solution.  The lines are parallel

Step-by-step explanation:

I graphed with Desmos.  It is a free.

Solve The Following System Of Linear Equations By Graphing:4x + 2y = -44x + 2y = -20Graph The Linear

Related Questions

Find the discriminant of -18p=p^2+81

Answers

Step-by-step explanation:

[tex] \sf - 18p = p^2+81 [/tex]

Moving all the expression to the Left side of the equation,

[tex] \sf -18p + p^2 - 81 = 0 [/tex]

To find the discriminant of the above equation we can simply use the Quadratic formula.

The discriminant formula of a quadratic equation[tex] \sf ax^2 + bx + c = 0 \: is \: (d = b^2 - 4ac )[/tex]

Where d represents the discriminant

a, b and c are the coefficient of the above equation,

p^2, here coefficient of p² is a = 1

-18p, here coefficient of p is b = -18

81, here the number is constant so coefficient is c = 81.

So simply by substituting the value of a, b and c in the above discriminant formula we get,

[tex] \sf d = b^2 - 4ac [/tex]

[tex] \sf d = (-18)^2 - (4 \times 1 \times 81) [/tex]

[tex] \sf d = 324 - 324[/tex]

[tex] \sf d = 0 [/tex]

Therefore, The discriminant of 18p = p² + 81 is 0.

Answer:

0 (zero)

Step-by-step explanation:

To find the discriminant of the quadratic equation -18p = p² + 81, we first need to rewrite the equation in standard form, which is of the form ax² + bx + c = 0.

[tex]\begin{aligned}-18p&=p^2+81\\p^2+81&=-18p\\p^2+81+18p&=-18p+18p\\p^2 + 18p + 81 &= 0\end{aligned}[/tex]

Compare the coefficients of the rewritten quadratic equation with the standard form:

a = 1b = 18c = 81

The discriminant of a quadratic equation in the form ax² + bx + c = 0 is given by the formula:

[tex]\boxed{\textsf{Discriminant} = b^2 - 4ac}[/tex]

Substitute the values of a, b, and c into the formula:

[tex]\begin{aligned}\textsf{Discriminant} &= (18)^2 - 4(1)(81)\\&=324-4(81)\\&=324-324\\&=0\end{aligned}[/tex]

Therefore, the discriminant of the given quadratic equation is zero.

WHAT IS THE NAME OF THIS FORMULA????

Answers

Answer:

Estimation and Confidence Intervals

Step-by-step explanation:

Just found it on a math website basically.

solve 5x+y=24x+y=4 use the linear combination method

Answers

Answer:

(x,y)=(0,4)

Step-by-step explanation:

write as systems as equations, multiply both sides of the equation by -1, sum the equations vertically to eliminate at least one variable, divide both sides of the equation by -19, substitute the given value of x into the equation 5x+y=4, The possible solution of the system is the ordered pairs (x,y) =(0,4), then you're done. whew. ;)

4. A local video store has seen good linear growth in rentals since 2005. In 2009, the store had
23,500 rentals. In 2015, the store had 28,540 rentals.
a. Find the average rate of change of the store's rentals in rentals per year.
b. Using the average rate of change, determine the number of rentals in 2005.

Answers

The average rate of change of the store's rentals in rentals per year is 840 rentals per year and the number of rentals in 2005 is 20,140.

According to the question,

We have the following information:

A local video store has seen good linear growth in rentals since 2005. In 2009, the store had 23,500 rentals. In 2015, the store had 28,540 rentals.

a) Average rate of change of store's rentals =(Rentals in 2015-rentals in 2009)/Number of years

Now, the number of years passed between 2009 and 2015 is 6 years.

So, we have:

Average rate of change = (28540-23500)/6

Average rate of change = 5040/6

Average rate of change = 840 rentals per year

b) Now, the number of rentals in 2005:

(Number of rentals in 2009-number of rentals in 2005)/4 = 840

Let's take the number of rentals in 2005 to be x.

(23500-x)/4 = 840

23500-x = 3360

-x = 3360-23500

-x = -20140

x = 20,140

Hence, the average rate of change of the store's rentals in rentals per year is 840 rentals per year and the number of rentals in 2005 is 20,140.

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-3/2t+1/3=2/4
Answer??

Answers

Answer:

t = 1/9

Step-by-step explanation:

Combine multiplied terms into a single fraction

-3/2 (t) + 1/3 = 2/4

3t/2+ 1/3 = 2/4

Find common denominator

3 x 3t/6 + 2/6 = 2/4

Combine fractions with common denominator

3 x 3t/6 + 2/6 = 2/4

3x3t + 2

/ 6= 2/4

Multiply the numbers

9t+2

/6 = 2/4

Divide the numbers

9t+2 divided by 6 is 1/2

Multiply all terms by the same value to eliminate fraction denominators

6 x 9t+2 divided by 6 = 6 x 1/2

Cancel multiplied terms that are in the denominator

9t+2=3

Subtract 2 from both sides

9t+2-2=3-2

Simplify

9t=1

Divide both sides by the same factor

9t/9+=1/9

Simplify

t= 1/9

Find all points of intersection of the graphs of the polynomials. f(x)=(x+5)(x-5) and g(x)=(x+1)(x-3)

Answers

Answer:

1 intersection point at (11,96)

Step-by-step explanation:

Comment

The best way to solve this is to start with a graph. Then you can work out the actual intersection points.

The graph shows that there is only 1 intersect point. Let's try and find it.

Givens

y = (x - 5)(x + 5) = x^2 - 25

y = (x +1)(x - 3) = x^2 -2x - 3

If the intersect points are what you want, then the y value for both equations must be equal.

Solution

x^2 - 25 = x^2 - 2x - 3                     Subtract x^2 from both sides

x^2 - x^2 - 25 = x^2 - 2x - 3            Combine

- 25 = - 2x - 3                                   Add 3 to both sides

-25+3 = -2x - 3 + 3                           Combine

-22 = - 2x                                         Divide by - 2

 -22/-2 = x

x = 11

y = x^2 - 25

y = 11^2 - 25

y = 121 - 25

y  = 96

I need help with this please help me

Answers

Answer:

Step-by-step explanation:

Hi,  Danna,  these are tough to figure out...

so,  first check to see if the 3 known angles add up to 180°,  they don't I checked, so, it tells us that the one angle 96° up at the top,  does not include ∠2 , which is good, b/c we now know 2 of the angles in that inner triangle.. and we know that a triangle adds up to 180° , so just find that last angle... the one opposite to ∠1 .... nice, if we get the ∠1' angle we can then also figure out ∠1

180-96-30=54

∠1' =54°

so ∠1= 180-54 =126°

we now know ∠1

use that , and that the next smaller triangle also adds up to 180

to find ∠2

∠2= 180-28-126=26°

∠1=126°

∠2 = 26°

:)  it's tough to think all of that through.  don't worry.  just keep working these , they will get easier.

Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question.
Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. What do the results tell​ us?
70 54 46 85 61 81 45 6 35 39 3

Answers

The mean is  47.73.

The median is 46.

The dataset has no mode.

The midrange is 44.

What is the mean, mode, median and midrange?

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

Mean = (70 + 54 + 46 + 85 + 61 + 81 + 45 +  6 + 35+  39 + 3) / 11

= 525 /11 = 47.73

Median is a measure of central tendency that is used to determine the number that is at the center of a set of values when the numbers are arranged in either ascending or descending order.

3, 6, 35, 39, 45, 46, 54, 61, 70, 81, 85

The median is 46.

Mode is the most frequent number in a dataset. The jersey numbers only occur once. Thus, there is no mode.

Midrange is the average of the maximum and minimum values of the dataset.

Midrange = (maximum value + minimum value) / 2

Midrange = (3 + 85) / 2

Midrange = 88 / 2

Midrange = 44

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Critique Reasoning An office manager has $10,000 to spend on new equipment. He planned to purchase 300 lamps for $72 each. He completed the calculations at the right and concluded that there would be plenty of money left to buy additional equipment. 4. What does the office manager do to support his thinking?​

Answers

The probability that the sum of the two die rolls is 9 is 4 / 11.

What is the probability?

Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

Probability that the sum of the two die roll is 9 = number of sides that roll a sum of 9 / total number of sides that at least one of them is a 5

number of sides that roll a sum of 9 =(4,5) (6 , 3), (3 , 6), ( ,4) = 4

total number of sides that at least one of them is a 5 = (1, 5), (2, 5), (3, 5), (4, 5) , (5, 5), (6, 5), (5, 1), (5, 2) , (5, 3), (5, 4), (5, 6) = 11

Probability that the sum of the two die roll is 9 = 4/11

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The office manager will either put up a clearer calculation and model the equation to ascertain money remaining at each quaintly bought or a graph to present his calculations

What is a graph ?

A graph is a representation of data, it helps to analyze data clearly with lesser time

The calculation the office manager will do is to multiply the number of lamps with the unit price then subtract from the amount set aside to spend on new equipment

The calculation

let the money left be z

10000 = 300 * 72 + z

10000 = 21600 + z

subtraction

z = 10 000 - 21600

z = - 16000

The calculation shows that the money will not be enough

The equation is modeled as

y = 10000 - 300x

where x is the number of bulbs

y is amount left

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Figure ABCD is reflected across the x-axis.
What are the coordinates of
of A'B'C', and D'₂
Enter your answer by filling in the boxes.
A'Go
B'GD
C'OD
D'OD

Answers

Answer: The required vertices after reflection are A'(2, -3), B'(5, -5), C'(7, -3) and D'(5, -2).

Step-by-step explanation:  Given that the figure ABCD is reflected across the X-axis.

We are to find the co-ordinates of A, B, C and D after reflection.

From the figure, we note that the co-ordinates of the vertices of ABCD are

A(2, 3), B(5, 5), C(7, 3) and D(5, 2).

After reflection from X-axis, the y co-ordinate of each vertex will change its sign (y → -y).

Therefore,  the vertices of ABCD after reflection are

A(2, 3)  ⇒ A'(2, -3),

B(5, 5)  ⇒  B'(5, -5),

C(7, 3)  ⇒  C'(7, -3),

D(5, 2)  ⇒ D'(5, -2).

Thus, the required vertices after reflection are A'(2, -3), B'(5, -5), C'(7, -3) and D'(5, -2).

If 20 g of pure drug are added to a container of sterile water, and the total volume of this solution is 50 mL, what would be the strength of this solution expressed as a ratio and as a percent?

Answers

The strength of the solution is 2:5 g/ml expressed as a ratio and the strength expressed as percent is 20%

Total amount of drug = 20 gm

Total volume of solution = 50ml

Strength (as ratio)

= 20/50 g/mL

= 0.4 g /mL

Amount of drug = M = 20 g

Volume of solution = V = 50 mL

Concentration or strength (ratio) = M/V = 0.4 g/mL

Concentration or strength (percent)

= M/V × 100

=20/50 × 100%

= 40%

The concentration is 40% expressed as a percentage.

Solution concentration is the perfect measurement of how much of the  solute has been dissolved in a particular amount of solvent or solution.

A solution that contains a large amount of the dissolved solute is said to be highly concentrated. A solution that contains only a small quantity of dissolved solute is said to be diluted.

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help please, the question in the picture

Answers

The probability of either A or B is 0.48 and the probability neither A nor B would be 0.52

What is Probability?

Probability defines the likelihood of occurrence of an event. There are many real-life situations in which we may have to predict the outcome of an event. We may be sure or not sure of the results of an event

probability A will occur pr(A) = 0.39, probability A will not occur pr(A') = 1 - 0.39 = 0.61,

Probability B will occur pr(B) = 0.42, probability B will not occur, pr(B') = 1 - 0.42 = 0.58

For mutually exclusive events if A will occur it means that B will not occur

So, probability either A or B is

= pr(A) x pr(B') + pr(B) x Pr(A')

= 0.39 x 0.58 + 0.42 x 0.61

= 0.4824 and to 2 decimal places the answer becomes 0.48

The probability neither A nor B is equal to 1 - 0.48 = 0.52

In conclusion the probability Either A or B will occur is 0.48 and the probability neither A nor B is 0.52

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Benjamin went shopping for a new phone because of a sale. The price on the tag was $28, but Benjamin paid $15.40 before tax. Find the percent discount.

Answers

if  price on the tag was $28, but Benjamin paid $15.40 before tax then the percent of discount is 45%.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that Benjamin went shopping for a new phone because of a sale. The price on the tag was $28, but Benjamin paid $15.40 before tax

We need to find the percent discount that Benjamin received

Compare the difference between the original price and the discounted price to the original price, and then express that difference as a percentage of the original price.

We can use the following formula:

Percent Discount = (Original Price - Discounted Price) / Original Price × 100%

=28-15.4/28 × 100

=0.45×100

=45%

Hence, Benjamin received a discount of 45%

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6. You built a driveway ½ mile long to your new
house. You have an 8-foot-wide road ditch on
both sides of the road.
a. What is the total length of the road ditch?
(in ft)
b. What is the measurement in square feet of
the road ditch?

Answers

The total length of the road ditch is 1/2 mile and the measurement in square feet of the road ditch is 42,240 square feet.

According to the question,

We have the following information:

You built a driveway ½ mile long to your new house. You have an 8-foot-wide road ditch on both sides of the road.

a) Now, the length of the ditch will be equal to the length of the driveway.

Length of ditch = 1/2 mile

b) Measurement of the road ditch in square feet:

Area of rectangle = length*width

Converting length into feet:

1 mile = 5280 feet

1/2 mile= 2640 feet

Area of ditch =(2640)*8

Area of ditch =21,120 square feet

Now, ditch is on both sides:

So, total area of ditch = 2*21,120

Total area of ditch = 42,240 square feet

Hence, the total length of the road ditch is 1/2 mile and the measurement in square feet of the road ditch is 42,240 square feet.

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Find the area of the given figure

Answers

Answer:

you multiply the numbers to find the area so W*H with times hight so the answer would be 6,250


The top of an Iceberg is 67 ft above sea level, while the bottom is 283 ft below sea level. What is the distance between the top and the bottom
of the Iceberg?

Answers

The distance between the top and the bottom of the iceberg is 417 feet.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The top of an Iceberg is 67 ft above sea level, while the bottom is 283 ft below sea level.

We can draw as,

Top of an iceberg

|

|

|   (67 feet)

|

Sea level

|

|  (283 feet)

|

|

Bottom of the iceberg

The distance above the sea level = 67 feet

The distance below the sea level = -283 feet

( negative sign due to below-sea level

Now,

The distance between the top and the bottom of the iceberg.

= 67 - (-283)

= 67 + 283

= 417 feet

Thus,

The distance between the top and the bottom of the iceberg is 417 feet.

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n is an odd number.
Which statements are true?
You must get them all correct to get any marks.
A: n²+2 is odd
B: n(n + 1) is odd
D: n² + 1 is odd
E: n(n + 2) is odd F: (n + 2)² is odd
C: (n+1)² is odd

Answers

The following statements are marked true or false accordingly

A: n²+2 is odd         true    

B: n(n + 1) is odd     false

C: (n+1)² is odd        false

D: n² + 1 is odd       false

E: n(n + 2) is odd    true

F: (n + 2)² is odd     true

How to show the statements

Examples are used to support or counter the statements

A: n²+2 is odd

3^2 + 2

= 9 + 2

= 11 (true)

B: n(n + 1) is odd

= 5(5+1)

= 5 * 6

= 30 (false)

C: (n+1)² is odd

= (7 + 1)^2

= 64 (false)

D: n² + 1 is odd

= 9^2 + 1

= 81 + 1

= 82 (false)

E: n(n + 2) is odd

= 3 ( 3 + 2)

= 3 (5)

= 15 (true)

F: (n + 2)² is odd

= (13 + 2)²

= 225 (true)

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The distance covered by a car traveling at a constant speed is directly proportional to the
time spent traveling. If the car goes 75 miles in 2.5 hours, how far will it go in 7 hours?

Answers

Answer:75/5 = x/7

Step-by-step explanation:

Complete this equation and you will end up with the answer 105

In hypothesis testing,the assumption(s) for the Z test for a Mean when the σ is known The sample is a random sample Either n > or = 25 or the population is normally distributed if n < 25 both a) and b) none of the above

Answers

In hypothesis testing, the assumption for the Ztest for a mean when the σ is known then n > 30. Hence the answer is : None of the above

What is hypothesis?

Using sample data, hypothesis testing is used to assess the plausibility of a hypothesis. Given the data, the test provides evidence for the hypothesis's plausibility.

Statistical analysts put a hypothesis to the test by measuring and examining a random sample of the population under consideration. Because the distributions of small samples are not normal, a t-test is required. If the sample size is large (n> 30), statistical theory predicts that the sample mean is normally distributed and that a z test for a single mean can be used.

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Complete the number sentence:
-show your work-

-7 -6=?

?-(-6)=1

32-33=?

12-?=21


Answers

-13

?+6=1
?=-5

-1

12-?=21
-?=9
?=-9

Bianka makes an error when she tries to write an expression equivalent to 12+15×3 minus Y -10 Y what is the error

Answers

The error that Bianka made in the algebraic expression is that; when 15 was distributed it should be '45 - 15y' rather than '45 + 15y'

How to simplify algebraic expressions?

An algebraic expression is defined as an expression that is made up of variables and constants, as well as algebraic operations such as multiplication, addition, division, subtraction, etc.

Now, the steps that Bianka took to solve the algebraic expression are;

12 + 15(3 - y) - 10y

12 + 45 + 15y - 10y

57 + 5y

Now, the first step according to the rule PEMDAS is to expand the bracket and when positive and negative are multiplied, the sign is negative and as such step 2 should have been 12 + 45 - 15y - 10y.

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Josie is a student in a fifth-grade inclusion class. She has a specific learning disability in mathematics and has difficulty solving word problems. As soon as she finishes reading a problem, she begins doing computations; additionally, she seems to think that all problems have whole-number answers. One of the annual goals in her IEP is related to learning the process of solving word problems: "Josie will be able to solve grade-appropriate word problems independently 85 percent of the time, using a systematic and logical process.

Answers

Answer:

Step-by-step explanation:

Solving word problems is always hard.  even w/o any learning challenges.  I'm kind of good at word problems but what I notice is that people have ways to ask word problem questions that can be very much about their own thought process, not really about the math.  Often it matters who is asking the word problem more than what the question is about for understanding the problem.   I don't think Josie will stand a chance with some peoples questions, like she'll solve it .01% of the time.  Not 85% of the time.  Just my perspective. :)

Another equation question?

Answers

The equation to represent the total number of students taking the yoga classes is s = 13c.

What is an equation?

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the number of students = s

Let the number of classes = c

Therefore the total students will be:

s = 13 × c

s = 13c

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Amanda is on a swim team. Each day she swims 800 meters. How much is this in kilometers if 1 kilometers be is equal to 1000 meters

Answers

1000 m = 1km
So
800m = 0.8 km

Consider the graph of a function that is negative over its entire domain. Can the graph have an X-intercept? Explain

Answers

A function that is negative over its entire domain can be having its values of x and y negative i.e. it can be (-3,-4). Yes, the graph has an X-intercept.

A line's x-intercept and y-intercept are the points at which the x- and y-axes, respectively, are crossed. We find it easier to graph linear equations when we consider intercepts.

X-intercept illustration:

Where a line on a graph crosses the x-axis is known as the x-intercept. At that time, the y coordinate's value is zero. For instance, the x-intercept would be where the equation y = x + 5 crosses the x-axis at the location (-5, 0).

Calculate the x-intercept:

We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.

An illustration of y-intercept:

This is an illustration of a y-intercept. Think about the line y = x + 3. The point where this graph crosses the y-axis is (0,3). Therefore, the y-intercept of the line y = x+ 3 is (0,3).

If we can locate the x-intercept of a linear function, finding the zero should be simple. The x-coordinate of the x-intercept is zero.

The x-intercept can be positive or negative.

Summary:

The location on the graph where our line crosses the x-axis is known as the x-intercept.

Positive numbers are to the right of the origin and negative numbers are to the left of the origin on the x-axis.

The location on the graph where our line crosses the y-axis is known as the y-intercept.

The side of a graph is negative:

Consider the numbers as being on the x-axis to help us remember this. The positive values are located to the right of the origin, and the negative values are located to the left of the origin.

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Can someone please look in the photo and explain? Thanks so much I appreciate the help.

Answers

Answer:

25.12

Step-by-step explanation:

C = [tex]\pi[/tex]d  The d is the diameter.  This is the distance across the ha that goes through  the middle of the circle.

C 3.14(8)  The c stands for the circumference or the distance around the circle.  We generally use 3.14 for [tex]\pi[/tex]

C= 25.12

Answer:
25.12

Explanation:
To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). In this case, 8 multiplied by pi would give you around 25.12. Hope this helps!

kaitlin deposited $4000 into an account with 5.2% interest,compounded annually. assuming that no withdrawals are made,how much will she have in the account after 3 years?

Answers

Kaitlin will have $4657 as the total amount in her account after 3 years which was found using the compound interest formula.

What exactly is Compound Interest?

The interest earned on savings that is computed using both the original principle and the interest accrued over time is known as compound interest. The compound interest formula is calculated as: A = P (1+r)^t

Given: Kaitlin put $4000 into an account earning 5.2% annual compound interest.

We need to find how much will she have in the account after 3 years.

Let,

P = initial sum of money

r = interest rate, 

t = number of years in decimal form

A = total amount in her account

Using the compound interest formula we obtain,

A = P (1+r)^t

A = 4000(1 + 0.052)³

A = 4000(1.052)³

A = 4000(1.164)

A = $4657

Therefore, Kaitlin will have $4657 as the total amount in her account after 3 years.

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Need help with question

Answers

The required derivative of the given function g(z) = ln√(16- z² / 16+z²) is

[tex]g'(z) =-\dfrac{32z}{\left(z^2+16\right)\left(-z^2+16\right)}[/tex]

What is the chain rule in differentiation?

The outside-inside rule, the composite function rule, and the function of a function rule are all synonyms for this chain rule in differentiation. It is exclusively used to calculate the derivatives of composite functions.

The chain rule formula as shown below

d/dx ( f(g(x) ) = f' (g(x)) · g' (x)

The function is given in the question

g(z) = ln√(16- z² / 16+z²)

We have to differentiate g(z) = ln√(16- z² / 16+z²)

Differentiation with respect to z in the given function,

[tex]\frac{d}{dz}\left(\ln \left(\sqrt{\left(\left(\frac{16-z^2}{16+z^2}\right)\right)}\right)\right)[/tex]

We have to apply the chain rule of differentiation for finding derivatives,

[tex]\dfrac{1}{\sqrt{\dfrac{16-z^2}{16+z^2}}}\dfrac{d}{dz}\left(\sqrt{\dfrac{16-z^2}{16+z^2}}\right)[/tex]

[tex]-\dfrac{32z}{\left(z^2+16\right)\left(-z^2+16\right)}[/tex]

Therefore, the required derivative of the given function g(z) = ln√(16- z² / 16+z²) is

[tex]g'(z) =-\dfrac{32z}{\left(z^2+16\right)\left(-z^2+16\right)}[/tex]

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The distance from -8 to 0 is the same as the distance from 8 to 0 on the number line

Answers

The distance from -8 to 0 is the same as the distance from 8 to 0 on the number line which is 8 units.

According to the question,

We have the following information:

The distance from -8 to 0 is the same as the distance from 8 to 0 on the number line.

We know that the distance can not be negative in any case even when the points given are negative.

So, when we find the distance from -8 to 0, then we have the distance as 8 units.

Now, when we find the distance from 8 to 0, then we have the distance as 8 units.

Hence, the distance from -8 to 0 is the same as the distance from 8 to 0 on the number line which is 8 units.

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Kristen's Blossoms sells roses in groups of 8. Across town, Hector's Blooms sells roses in groups of 12. If a customer wants to buy the same number of roses from both vendors, what is the smallest number of roses the customer will have to buy from each vendor?

Answers

The smallest number of roses the customer will have to buy from each vendor is 24.

What is a multiple?

It should be noted that the multiple simply means the product of a number.

In this case, Kristen's Blossoms sells roses in groups of 8 and across town, Hector's Blooms sells roses in groups of 12.

The multiples of 8 = 8, 16, 24, 32 ....

The multiples of 12 = 12, 24, 36...

Therefore, the least number of roses is 24.

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