80 more points ez ez!

Answers

Answer 1

Answer:

{(-3, -2), (-4, 3), (-1, 0), (3, -7)}

Step-by-step explanation:

When you find the inverse of a function you swap the x and the y. So let's look at a couple examples and see what happens to the x and y values

Radical:

[tex]y=\sqrt{x}[/tex]

So let's just look at perfect squares so it's a bit easier to understand

(0, 0)

(4, 2)

(9, 3)

Now let's find the inverse:

[tex]x=\sqrt{y}[/tex]

Now to make this concept a bit easier to understand let's leave it in this form. Well the first notable thing, is that any operations applied to y will now apple to x, and any operations applied to x will apply to y (in this case the square root).

So if I input 9 as the y, the x will be 3

If I input 4 as y, the x will become 2

Some points are

(0, 0)

(2, 4)

(9, 3)

You'll notice the x and y values are swapped, well it's simply because you swap the x and y's place. this is also why the domain and range are swapped

So given the points {(-2, -3), (3, -4), (0, -1), (-7, 3)} you simply swap the x and y to get: {(-3, -2), (-4, 3), (-1, 0), (3, -7)}

Answer 2

Answer:

Step-by-step explanation:

Related Questions

A Venn diagram is shown below: What are the elements of (A n B) ‘ ?

Answers

The elements of (A n B)' are ( 3, 4 , 5 ,6). Option A

How to determine the set

The elements of this set (A n B) explains the common elements of both sets without repetition

Set A = 3, 4

Set B = 5, 6

A n B = 1, 2

(A n B)' = Is the elements both A and B in common but is not found in the universal set

(A n B)' = ( 3, 4 , 5 ,6)

Thus, the elements of (A n B)' are ( 3, 4 , 5 ,6). Option A

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Which is equivalent to (3/125)*?

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Question reads:}[/tex]

[tex]\large\textbf{Which is equivalent to }\rm{\bf \dfrac{3}{125}}\large\textbf{ ?}[/tex]

[tex]\huge\textbf{Solving for your fraction:}[/tex]

[tex]\mathbf{\dfrac{3}{125}}[/tex]

[tex]\mathbf{= \dfrac{3\times2}{125\times2}}[/tex]

[tex]\mathbf{\approx \dfrac{3 + 3}{125 + 12{5}}}[/tex]

[tex]\mathbf{= \dfrac{6}{250}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{\dfrac{6}{250}}}\huge\checkmark[/tex]

[tex]\large\text{By the way, they are a lot more fractions that are equivalent to}\\\large\text{the given equation (}\rm{\dfrac{3}{125}}\large\text{) but we only labeled one that is the very}\\\large\text{first fraction that is equal to it. }[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

What is the volume of the sphere shown below with a radius of 9? OA. 108 cu. units B. 972* cu units OC. 2916 cu units D. 1458, cu units

Answers

The volume of the sphere shown below with a radius of 9 is 3052.08 cubic units

Volume of a sphere

The formula for calculating the volume of a sphere is expressed as;

V = 4/3πr³

where

r is the radius of the sphere

Substitute

V = 4/3π(9)³

V = 4/3(3.14)*729

V = 3052.08 cubic units

Hence the volume of the sphere shown below with a radius of 9 is 3052.08 cubic units

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Last years freshman class at big state university totaled 5,305 students of those 1258 received a merit scholarship to help offset tuition costs their freshman year.the amount received was n(3456, 478) if the full cost was 4250 what percentage of students receive a merit scholarship did not receive enough to cover full tuition

Answers

Using the normal distribution, it is found that 95.15% of students receive a merit scholarship did not receive enough to cover full tuition.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation for the amounts are given as follows:

[tex]\mu = 3456, \sigma = 478[/tex]

The proportion is the p-value of Z when X = 4250, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{4250 - 3456}{478}[/tex]

Z = 1.66

Z = 1.66 has a p-value of 0.9515.

Hence 95.15% of students receive a merit scholarship did not receive enough to cover full tuition.

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the Royal fruit company produces two types of fruit drinks the first type is 45% pure fruit juice and the second type is 95% pure fruit juice. the company is attempting to produce a fruit drink that contains 55% pure fruit juice how many pints of each of the two existing types of drink must be used to make 180 pints of a mixture that is 55% pure fruit juice

Answers

Answer:

first type: 144 pints

second type: 36 pints

Step-by-step explanation:

So let's try to interpret the given information. So the first thing to know is how to calculate x%, to calculate this, you simply multiply the number by x/100, which is what x is in decimal form.

So let's just start off by assigning variables to each brand, with the variable representing the amount of pints. Let's say "x" is the amount of pints of the first brand, and "y" is the amount of pints of the second brand.

The next thing to do is make equations using the given information. So we want a fruit drink that is 55% pure fruit juice, and it's 180 pints. So to find what 55% is, we multiply by 55/100 or 0.55. This means that 55% is 0.55(180) = 99. So using the given information this means that 99 pints is pure fruit juice in the mixture. This comes from mixing the first two brands, so that means if we take the pure fruit juice from the first brand and add it to the second brand we get 99, and remember we are given the information that 45% of the first brand is pure fruit juice and the second is 95%, this means that 0.45x is pure fruit juice in the first brand and 0.95y is pure fruit juice in the second brand. This sets up the following equation: [tex]99 = 0.45x + 0.95y[/tex]

The second equation to set up is using the total amount of pints. x represents how much is from the first brand, and y represents how much is from the second brand. Since the mixture consists of these two brands, and the mixture is 180 pints we can form the equation: [tex]180 = x+y[/tex]

The last step is to solve the systems of equations using the two equations we formed. This can be done via substitution. We simply need to solve for either x or y, in the total amount of pints equation and then substitute it into the pure fruit juice equation. In this example I'll solve for x

Original Equation:

[tex]180 = x+y[/tex]

Subtract y from both sides

[tex]180-y=x[/tex]

So now that we solved for y in terms of x we can substitute this into the pure fruit juice equation, so that we're only dealing with one variable.

Original Equation:

[tex]99 = 0.45x + 0.95y[/tex]

Substitute 180-y as x

[tex]99 = 0.45(180-y) + 0.95y[/tex]

Distribute the 0.45

[tex]99=81-0.45y+0.95y[/tex]

Add like terms

[tex]99=81+0.5y[/tex]

subtract 81 from both sides

[tex]18=0.5y[/tex]

Divide both sides by 0.5 (same thing as multiply by 2)

[tex]36=y[/tex]

This means we have to use 36 pints of the second brand. We can substitute this into either equation to solve for x, but it's easier to substitute into the total pints equation since there are no coefficients (technically a 1 in front, but it's kind of be ignored for now), so it's pretty straightforward to solve for x

Original Equation:

[tex]180=x+y[/tex]

Substitute 36 as y

[tex]180=x+36[/tex]

Subtract 36 from both sides

[tex]144=x[/tex]

This means 144 pints from the first brand and 36 from the second

please help solve inequality question c

Answers

The solution to the given inequality is; x ≥ -9/4 or x ≥ 1

How to solve Inequality problems?

We want to solve the inequality;

(4x² + 5x - 9)/(x² - x - 6) ≥ 0

Let us factorize both numerator and denominator to get;

4x² + 5x - 9 = (4x + 9)(x - 1)

Similarly, x² - x - 6 when factorized gives;

x² - x - 6 = (x + 2)(x - 3)

Thus, we now have;

[(4x + 9)(x - 1)]/[(x + 2)(x - 3)] ≥ 0

Multiply both sides by [(x + 2)(x - 3)] to get;

(4x + 9)(x - 1) ≥ 0

Thus;

(4x + 9) ≥ 0 or (x - 1) ≥ 0

Thus;

x ≥ -9/4 or x ≥ 1

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I need the volume of that figure

Answers

Answer:

708π in³ = 2224.25 in.³

Step-by-step explanation:

The composite solid is made up of a cone, a cylinder, and a half sphere.

Recall the volume formulas:

cone: πr²h/3

cylinder: πr²h

sphere: 4πr³/3

half sphere: (1/2) × 4πr³/3

We need to find teh heoght of the cone. The slant height is 10 in. The radius is 6 in. We can use the Pythaogorean theorem to find the height of the cone.

h = √(10² - 6²) = 8

total volume = π(6 in.)²(8 in.)/3 + π(6 in.)²(13 in.) + (1/2) × 4π(6 in.)³/3

total volume = π(96 in.³ + 468 in.³ + 144 in.³)

total volume = 708π in³ = 2224.25 in.³

Find the area of the shaded region. (drawing is not to scale) GEOMETRY!!! HELP PLEASE

Answers

Answer:

150

Step-by-step explanation:

The area of the trapezoid is (½)(14+10)(2) = 24.

The area of the rectangle is (14)(9) = 126.

Adding these together, we get 126 + 24 = 150.

HELPPPP PLEASEEE ASAPP!! The population of a small farming community is declining at a rate of
7% per year. The decline can be expressed by the exponential
equation P=C (1-0.07), where P is the population after t years and
C is the current population. If the population was 8500 in 2004, when
will the population be less than 6000?

Answers

Answer:

365/8500*7=0.3005882352941

1-0.07/100*7=0.9951

A store sells both cold and hot beverages. Cold beverages, c, cost $1.50, while hot beverages, h, cost $2.00. On Saturday, drink receipts totaled $360, and 4 times as many cold beverages were sold as hot beverages.

Which system of linear equations represents the beverage sales on Saturday?

Answers

Answer:

There are two equations and two variables, so this is a system of linear equations.

c + h = 360

4c = h

Step-by-step explanation:

Answer:

The linear equations would be c = 4h and 1.5c + 2h = 360.

Step-by-step explanation:

First we have to create a table for our data.

c = total number of cold beverages sold.

h = total number of hot beverages sold.

The total cost of both beverages sold -

1.5c + 2h = 360

The amount of cold beverages -

c = 4h

Now we just need to substitute the second equation to the first one.

1.5 * (4h) + 2h = 360

= 6h + 2h = 360

= 8h = 360

= h = 45

Now we need to find the value of c.

c = 4* 45 = 180

Therefore 180 cold beverages were sold and 45 hot beverages were sold.

But the linear equations would be c = 4h and 1.5c + 2h = 360.

Hope this helped! :D

I set off on a 15 miles cycle ride at a speed of 10mile per hour. how long does the ride take me

Answers

The ride takes 1.5 hours for a speed of 10 miles per hour.

What is speed?

The rate at which an object travels a certain distance can be described using the speed formula. The distance that a body travels in a certain amount of time is a common way to measure speed.

A body's speed can be defined as how quickly it is going. The equation for a given body's speed can be written as,

Speed=Distance/Time

According to the question,

Speed=10 miles per hour

Distance=15 miles

Time=[tex]\frac{15}{10}[/tex]=1.5 hours

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help me please, you gonna be my hero

Answers

The rate of change of the relationship is 6/5

Rate of change of a line

The rate of change of a line is also known as the slope of the line. The formula for calculating the slope of a line is expressed as:

Slope =y2-y1/x2-x1

Given the coordinate points (-3,-2) and (2, 4). On substituting;

Slope = 4-(-2)/2-(-3)

Slope =4+2/2+3

Slope = 6/5

Hence the rate of change of the relationship is 6/5

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A plane takes off from an airport on a bearing of 270° and travels at a speed of 320 mph. after sometime and flight, space the plane encounters a 35 mph wind blowing directly north. Find the speed of the airplane after it encounters the wind.
A.322mph B.330mph C.285mph D.355mph

Answers

The speed of the plane after it encounters the wind is C.285mph

How to calculate the speed of the plane when it encounters the wind?

Since the plane takes off from an airport on a bearing of 270° and travels at a speed of 320 mph it's velocity is v = (320cos270°)i + (320sin270°)j

= (320 × 0)i + (320 × -1)j

= 0i - 320j

= - 320j mph

Also, the plane encounters a 35 mph wind blowing directly north. The velocity of the wind is v' = 35j mph

So, the velocity of the plane after it encounters the wind is the resultant velocity, V = v + v'

= -320j mph + 35j mph

= -285j mph

So, the speed of the plane after it encounters the wind is the magnitude of V = |-285j| mph

= 285 mph

So, the speed of the plane after it encounters the wind is C.285mph

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You were painting a room in your house. Unfortunately, you lost the lid to the 5 gallon bucket of paint, but you only used half of the paint. You want to save the paint, so you plan on transferring it to a new container. The new container is shaped like a rectangular prism. If there are originally 1,155 cubic inches of paint in the 5 gallon bucket, is your container big enough to fit the paint that is left over? Remember that half the paint is left in the bucket.

Answers

Answer:

bro wuts da answer am so lost yo

Answer: It's my understanding that the answer would be the last one - No, the container is not large enough.....new container is 960 cubic inches. I saw this answer marked on another website but not how to find the answer.

Step-by-step explanation:

Graph a system of equations to solve Log(-5.6x+1.3)=-1-x
From least to greatest the solutions are:

Answers

By seeing where the curves intercept, we conclude that the solutions are:

(0.22, -1.22) and (-2.12, 1.12)

How to solve the system of equations?

Here we just need to graph the equations:

y = log(-5.6*x + 1.3)

y = -1 - x

And see in which points the curves intercept.

The graph can be seen below:

There we can see that the intersections (and solutions) are the points:

(0.22, -1.22) and (-2.12, 1.12)

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Sir yesuba withdrew a sumof money from the bank he gave 3/8 of it to his son and 1/4 to his daughter if he had gh600 left, how much did he take form the bank

Answers

Sir Yesuba took Rs 1600 from the bank.

Concept : Addition and subtraction from an unknown quantity which can be calculated easily using variables.

Given: The Amount given to son = 3/8x

The Amount given to daughter = 1/4x

Money left = Rs 600

Let the amount taken by him be equal to Rs x.

The Amount given to son = 3/8x

The Amount given to daughter = 1/4x

x - (3/8x + x/4) = 600

x- x/8 = 600

7x/8=600

x= Rs1600

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if sin x =
[tex] - \frac{ \sqrt{3} }{2} [/tex]
and cos x >0 find the value of x. pls an pls answer i will mark him or her brainlest. pls

Answers

Step-by-step explanation:

sin^-1√-3/2=300°

cos300°=0.5

A trader sold 100 boxes of a $8.00 per box, 800 boxes at $6.00 per box and 600 boxes at $4.00 per box .find the average selling price per box

Answers

The average selling price per box is $5.33

What is the average selling price?

The core value of a set of data is expressed as the average of a list of variables. It is defined mathematically as the ratio of the total number of data points to the number of units in the list. The average of a specific set of numerical data is also known as the mean in statistics.

Average = Sum of Values/Number of Values

The total selling price of all boxes=(8*100)+(800*6)+(600*4)

=$8000

Total number of boxes=100+800+600

=1500

Average selling price per box=8000/1500=$5.33

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Can some one help !!???

Answers

Answer:

Yes

Step-by-step explanation:

-6 1/2n + 1/6

Explanation:adding like terms and following integer rule hope this helps

The functions fand g are defined as follows.
g(x) = -2x³-5
f(x) = -2x-3
Find f(5) and g (-2).
Simplify your answers as much as possible.
ƒ (5) = 0
8 (-2) =
믐
X S
2.
?

Answers

Answer:

f(x) = -2x - 3

g(x) = -2x³ - 5

f(5) = -2(5) - 3

f(5) = -10 - 3

f(5) = -13

g(-2) = -2(-2)³ - 5

g(-2) =-2(-8) - 5

g(-2) = 16 - 5

g(-2) = 11

In sunlight, a vertical stick 6 ft tall casts a shadow 2 ft long. At the same time a nearby tree casts a shadow 14 ft long. How tall is the tree? Round to the nearest tenth.

Answers

Answer:

42.0 ft

Step-by-step explanation:

let t be the height of the tree.

At the same time ,the measure of something

and its shadow are proportional .

Then

[tex]\frac{2}{6} =\frac{14}{t}[/tex]

Then

2t = 6 × 14

Then

2t = 84

Then

t = 84/2

Then

t = 42

Therefore the tree is 42 ft tall

PLEASE HELP Which of the following expressions could not be used to determine the exact value of cos 60°?

Answers

The trigonometric expression cos 60° is equivalent to the expressions cos² 30° - sin² 30°, 2 · cos² 30° - 1 and 1 - 2 · sin² 30°. Then, not equivalent to 2 · sin 30° · cos 30°. (Correct choice: A)

How to find an expression not equivalent to a trigonometric equation

In this question we have a trigonometric equation and we are supposed to find an expression not equivalent to the former. Herein we have that the cosine of a double angle is equivalent to the following expressions:

cos 2θ = cos² θ - sin² θ (1)

cos 2θ = 2 · cos² θ - 1 (2)

cos 2θ = 1 - 2 · sin² θ (3)

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Ted has 45 apples he give his one friend 20 apples how many apples do ted have left

Answers

25 apples left , now making up the words required to post

Look at this triangle.
A
Work out length BC.
13 cm
8 cm
B
С

Answers

In the given triangle, the length of BC is 10.25 cm

Solving a right triangle

From the question, we are to determine the length BC

The triangle is a right triangle, then we can write that

/AB/² = /AC/² + /BC/² (Pythagorean theorem)

From the given information,

/AB/ = 13 cm

/AC/ = 8 cm

Putting the parameters into the equation, we get

13² = 8² + /BC/²

169 = 64 + /BC/²

/BC/² = 169 - 64

/BC/² = 105

/BC/ = √105

/BC/ = 10.25 cm

Hence, the length of BC is 10.25 cm

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Help me with this problems

Answers

Answer:

its easy

Step-by-step explanation:

you should change all into degrees

Sarah has 15 naira and bobo has 39 naira .how much must Sarah give to bobo so that bibo shall have 5 times as much as Sarah

Answers

Sara’s has 15 Powers mobile mobile

Please help! will give 14 points and brainliest!

Answers

Answer:

EF = 22 , AB = 1

Step-by-step explanation:

the midsegment of a trapezoid is equal to half the sum of the parallel bases

EF = [tex]\frac{1}{2}[/tex] (AB + DC ) ← substitute values

x + 6 = [tex]\frac{1}{2}[/tex] (2x - 9 + x + 5) ← multiply both sides by 2 to clear the fraction

2x + 12 = 3x - 4 ( subtract 3x from both sides )

- x + 12 = - 4 ( subtract 12 from both sides )

- x = - 16 ( multiply both sides by - 1 )

x = 16

Then

EF = x + 6 = 16 + 6 = 22

Similarly

EF = [tex]\frac{1}{2}[/tex] (AB + DC ) , that is

x + 3 = [tex]\frac{1}{2}[/tex] (4x - 3 + 2x + 5 ) ← multiply both sides by 2 to clear the fraction

2x + 6 = 6x + 2 ( subtract 6x from both sides )

- 4x + 6 = 2 ( subtract 6 from both sides )

- 4x = - 4 ( divide both sides by - 4 )

x = 1

Then

AB = 4x - 3 = 4(1) - 3 = 4 - 3 = 1

HELP THIS IS MY LAST QUESTION

Answers

Answer:

0.71

Step-by-step explanation:

[tex] \large{ \boxed{ \tt{x = \frac{12}{17} }}}[/tex]

- Please see the attached picture for full solution!:)

------------ HappY LearninG <3 -----------

From the diagram below, if AC =40, CD=10, and DB=8, then what would be the length of AB?

Answers

The length of AB would be 38 units

How to determine the length AB?

The attached image represents the missing piece in the question

Considering the triangle BCD;

Calculate the length BC using the following Pythagoras theorem

BC^2 = CD^2 + BD^2

This gives

BC^2 = 10^2 + 8^2

Evaluate

BC^2 = 164

Considering the triangle CBA;

Calculate the length AB using the following Pythagoras theorem

AB^2 = AC^2 - BC^2

This gives

AB^2 = 40^2 - 164

Evaluate

AB^2 = 1436

Take the square root

AB = 38 (approximated)

Hence, the length of AB would be 38 units

Answers

The fourth proportionals are bc/a and st/r

How to determine the fourth proportional?

Segments a, b and c

Let the fourth segment be x.

So, we have the following equivalent ratio

a : b = c : x

Express as fraction

a/b = c/x

Make x the subject

x = bc/a

Segments r, s and t

Let the fourth segment be x.

So, we have the following equivalent ratio

r : s = t : x

Express as fraction

r/s = t/x

Make x the subject

x = st/r

Hence, the fourth proportionals are bc/a and st/r