The form which should be used when you know the slope of a line and one of the points on the line is: d. point-slope form.
What is the point-slope form?The point-slope form can be defined as an equation which is used when the slope of a line and one of the points on this line is known.
Mathematically, the point-slope form of a line is given by:
y - y₁ = m(x - x₁)
Where:
m is the slope.x and y are the points.In conclusion, you should use the point-slope form when you know the slope of a line and one of the points on the line is given.
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Answer:
b
Step-by-step explanation:
What common base can be used to rewrite each side of the equation 2^x+3 -3=5
Answer:
the answer is 8.ITS 88888888888888888888
Evaluate: a) n!/(n-3)!
b) P(6,4)/4!
Step-by-step explanation:
a).
n! is
[tex]n(n - 1)(n - 2)(n - 3)(n - 4).........(1)[/tex]
(n-3)! is
[tex](n - 3)(n - 4)(n - 5)..........(1)[/tex]
If we divide the two, everything behind (n-3) will just cancel out so we would be left with only
[tex](n)(n - 1)(n - 2)[/tex]
So the answer to a is
[tex]n(n - 1)(n - 2)[/tex]
b
Permutations formula of P(6,4) is
6!/(6-4)!, or 6!/2!.
[tex] \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1} = 360[/tex]
Then we divide by 4!
[tex] \frac{360}{4 \times 3 \times 2 \times 1} = 15[/tex]
The answer to b is 15
Need the answer for 18 please!!!
Answer:
D (2, 1)
Step-by-step explanation:
Fir an in-detailed representation, image below
Started with plotting the given center (yellow)From the center: go 5 units up, down, right and left (light blue)You will have 5 points plotted nowconnect the light blue dots to form a circle (red, not to scale!)Now, locate every choice point, which one is on the red line?D!!!!!Learn more about Circles here: https://brainly.com/question/10368742
Abbey Co. sold merchandise to Gomez Co. on account, $29,300, terms 2/15, net 30. The cost of the goods sold is $20,510. Abbey Co. issued a credit memo for $2,500 for merchandise returned that originally cost $1,800. Gomez Co. paid the invoice within the discount period. What is the amount of gross profit earned by Abbey Co. on the above transactions?
Answer:
The amount of gross profit earned by Abbey Co. on the above transactions is $7,554.00
Step-by-step explanation:
What is the gross profit of Abbey Co?
Note that after sales of goods of $29,300 whose cost is $20,510 to Gomez Co, Gomez returned goods whose selling price is $2,500 and cost originally $1,800 to Abbey Co.
The implication of such goods returned is that $2,500 would be deducted from selling price and $1,800 would be deducted from cost of goods sold.
selling price=$29,300-$2,500
selling price=$26,800.00
cost of goods sold=$20,510-$1,800
cost of goods sold=$18,710.00
Note again that Gomez paid the invoice within the discount period, which means that net sales is the selling price of $26,800.00 minus 2% discount(2/15 means a discount of 2% is available if credit sales is settled in cash within the first 15 days of making sales0
net sales=$26,800.00*(1-2%)
net sales=$26,264.00
The gross profit is net sales minus the cost of goods sold
gross profit= $26,264.00-$18,710.00
gross profit=$7,554.00
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A data set has these values: 8, 10, 10, 12, 12, 12, 12, 14, 14,
16. A histogram of the distribution is shown.
Frequency
7 9 11 13 15 17
Data values
Which statement does not describe the data set?
A. It has a range of 17.
B. It is symmetric.
C. It has a median of 12.
D. It has a mode of 12.
Answer: Choice A) It has a range of 17
Reason:
The smallest value is 8 and the largest is 14. The range is the distance between these min and max
range = max - min = 14 - 8 = 6
So the range is 6 instead of 17.
The range of a data set is the difference between maximum and minimum thus the range of the given data set 8, 10, 10, 12, 12, 12, 12, 14, 14,16 is 8 so option (A) does not describe the data set.
What are the mode and median?Mode is the highest frequency number while the median is the middle value of a data set after writing in either an increasing or decreasing manner.
For example;
Set { 1,2,2,3,4,5,6} here mode is 2 and median is 3.
As per the given data set.
8, 10, 10, 12, 12, 12, 12, 14, 14,16
The range = maximum - minimum
Range = 16 - 8 = 8
The median of the data set is 12.
The mode is the highest frequency thus 12 is the mode of the data set.
Hence "The range of a data set is the difference between maximum and minimum thus the range of the given data set 8, 10, 10, 12, 12, 12, 12, 14, 14,16 is 8".
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given that x has a Poisson of u=5 what is the probability that x =2
probability//
Step-by-step explanation:
If Amy takes this year's savings of 1,200.00 and deposits it into an 18-month Certificate of Deposit account earning 1.25% APY with monthly-paid interest, how much interest will she earn?
Using compound interest, it is found that she will earn $23 in interest during the 18-month period.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.The parameters in this problem are given as follows:
[tex]P = 1200, r = 0.0125, n = 12, t = 1.5[/tex].
The amount of money at the end of the 18 months will be of:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(t) = 1200\left(1 + \frac{0.0125}{12}\right)^{12(1.5)}[/tex]
A(t) = $1,223.
The amount of interest earned is:
I = $1,223 - $1,200 = $23.
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Which of the following equations have complex roots?
Please help - trying to get my HS diploma because I did not graduate :(
Answer:
A
Step-by-step explanation:
Complex roots of quadratic functions occur when the discriminant is negative.
Discriminant
[tex]b^2-4ac\quad\textsf{when}\:\:ax^2+bx+c=0[/tex]
Evaluate the discriminant of each of the given equations.
[tex]\textsf{A.} \quad 3x^2+2=0[/tex]
[tex]\implies a=3, \quad b=0, \quad c=2[/tex]
[tex]\implies b^2-4ac=0^2-4(3)(2)=-24[/tex]
As -24 < 0 the equation will have complex roots.
[tex]\textsf{B.} \quad 2x^2+1=7x[/tex]
[tex]\implies 2x^2-7x+1=0[/tex]
[tex]\implies a=2, \quad b=-7, \quad c=1[/tex]
[tex]\implies b^2-4ac= (-7)^2-4(2)(1)=41[/tex]
As 41 > 0 the equation does not have complex roots.
[tex]\textsf{C.} \quad 3x^2-1=6x[/tex]
[tex]\implies 3x^2-6x-1=0[/tex]
[tex]\implies a=3, \quad b=-6, \quad c=-1[/tex]
[tex]\implies b^2-4ac=(-6)^2-4(3)(-1)=48[/tex]
As 48 > 0 the equation does not have complex roots.
[tex]\textsf{D.} \quad 2x^2-1=5x[/tex]
[tex]\implies 2x^2-5x-1=0[/tex]
[tex]\implies a=2, \quad b=-5, \quad c=-1[/tex]
[tex]\implies b^2-4ac=(-5)^2-4(2)(-1)=33[/tex]
As 33 > 0 the equation does not have complex roots.
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The length of one side of a triangle is 2 feet less than three times the length of its second side. The length of the third side is 3/4 of the sun of the lengths of the first two sides. Find the lengths of all three sides if the permitter of the triangle is 17.5 feet.
Using a system of equations, it is found that the lengths of the sides of the triangle are given as follows:
5.29 feet, 2.43 feet, 5.79 feet.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are the lengths, that are x, y and z.
The length of one side of a triangle is 2 feet less than three times the length of its second side, hence:
x = 3y - 2.
The length of the third side is 3/4 of the sun of the lengths of the first two sides, hence:
z = 0.75(x + y).
Find the lengths of all three sides if the perimeter of the triangle is 17.5 feet, hence:
x + y + z = 17.5.
3y + 2 + y + 0.75(3y - 2 + y) = 17.5
4y + 0.75(4y - 2) = 15.5.
7y = 17
y = 2.43 feet.
Hence:
x = 3y - 2 = 3 x 2.43 - 2 = 5.29 feet.z = 0.75(x + y) = 0.75(5.29 + 2.43) = 5.79 feet.More can be learned about a system of equations at https://brainly.com/question/24342899
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A washer and a dryer cost 792 combined. The washer costs 92 more than the dryer. What is the cost of the dryer?
Answer:
divide 792 by 2
792÷2=304
then add 92 to the cost 304
304+92=396
8x + 20y = 20
14x + 35y = k
For the above system of equations to be consistent, k must equal
Answer:
35
Step-by-step explanation:
The equations will be "consistent" when they describe lines that are not parallel.
SlopesThe slope of a line whose equation is written in this form is the opposite of the ratio of the y-coefficient to the x-coefficient:
line 1 slope = -8/20 = -2/5
line 2 slope = -14/35 = -2/5
These lines have the same slope, so will be parallel unless they have the same y-intercept.
Y-interceptThe y-intercept of each line is the ratio of the constant to the y-coefficient:
line 1 y-intercept = 20/20 = 1
line 2 y-intercept = k/35
We want these lines to have the same y-intercept so that they are not inconsistent. This requires ...
k/35 = 1
k = 35
For the equations to be consistent, we must have k = 35.
__
Additional comment
Linear equations are generally categorized as "consistent" or "inconsistent," and "dependent" or "independent."
Equations are "inconsistent" if there are no values of the variables that satisfy all of the equations. They are "dependent" if they describe exactly the same relation between the variables. "Consistent" equations may be "dependent" (describing the same line, as here), or "independent" (describing lines with different slopes.)
How does extending vertex A further to the left of vertex B verify the relationship between sides and angles in triangles?
B
As the length AB increases, the measure of C
help help help!!!!!
Answer:
Step-by-step explanation:
As the length AB increases, the measure of C increases
As the length AB increases, the measure of C increases.
What is an angle measure?An angle is formed when two lines or rays meet at a single point. The common point is referred to as the vertex. The length of the angle formed when two rays or arms intersect at a common vertex is known as an angle measure in geometry.
Angles and sides in relation to one another:
The biggest side and angle of any triangle are in opposition to one another.
The smallest side and angle in every triangle are on opposing sides.
The middle side and middle angle are always in opposition to one another in triangles.
When we extend vertex A further to the left of vertex B,
we increase the side length of AB.
As the length AB increases, the measure of opposite angle increases.
Let C be the angle opposite to AB.
Therefore, as the length AB increases, the measure of C increases.
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Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy 50kg, end text of corn in total for her next order. White corn costs $0.30 per kilogram, yellow corn costs $.015 per kilogram, and she wants to spend 12 dollars total.
CORRECT (SELECTED)
Marcelina spends the intended amount of money and buys the intended amount of corn.
Explanation: Point E is on line a, so it represents a scenario where she spends a 12 dollar sign, Also, point E is on line b, so it represents a scenario where she buys 50kg end text of corn.
Option A. The answer to the question is Marcelina spends the intended amount of money and buys the intended amount of corn.
How to solve for the intended amount of corn from the graphWe can see a point that takes us to the amount that the corn was bought and the quantity that was obtained.
This shows that she is in range of what she was asked to buy. E shows us the amount that was spent as 12 dollars and the quantity of 50kg.
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Consider a triangle ABC like the one below. Suppose that =A110°, =b25, and =c4. (The figure is not drawn to scale.) Solve the triangle.
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".
Side a, angle B and angle C of triangle ABC are 26.6 units, 61.9 degrees and 8.1 degrees respectively.
What is the value of the missing angles and side?Given that;
Angle A = 110°Side b = 25side c = 4side a = ?Angle B = ?Angle C = ?First we determine the length of side a
[tex]a = \sqrt{b^2-c^2-2bc*cos(A)}[/tex]
We substitute our values into the above equation[tex]a = \sqrt{25^2-4^2-(2*25*4*cos(110)}\\\\a = 26.6[/tex]
Side a has a length of 26.6 units.
[tex]B = cos^{-1}(\frac{a^2+c^2-b^2}{2ac}) \\\\B = cos^{-1}(\frac{26.63464^2+4^2-25^2}{2*26.63464*4}) \\\\B = 61.9[/tex]
Angle B is 61.9 degrees.
[tex]C = cos^{-1}(\frac{a^2+b^2-c^2}{2ab} )\\\\C = cos^{-1}(\frac{26.63464^2+25^2-4^2}{2*26.63464*25} )\\\\C =8.1[/tex]
Angle C is 8.1 degrees.
Therefore, side a, angle b and angle c of the triangle ABC are 26.6 units, 61.9 degrees and 8.1 degrees respectively.
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which values should you plot to show a linear relationship?
A. "Day" on the x-axis and "number of seeds" on the y-axis.
B. "Day" on the x-axis and "Log(seeds)" on the y-axis.
C. "Number of seeds" on the x-axis and "Log(seeds)" on the y-axis.
D. "Log(seeds)" on the x-axis and "Day" on the y-axis.
The values that show a linear relationship is "Day" on the x-axis and "number of seeds" on the y-axis.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The standard form of a linear equation is given by:
y = mx + b
Where m is the slope of the line and b is the y intercept.
The values that show a linear relationship is "Day" on the x-axis and "number of seeds" on the y-axis.
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Answer: Day on the x-axis and "log(seeds)" on the y-axis
Step-by-step explanation:
Trevor packed 22.5 pounds of potatoes into several bags. If there are 2.5 pounds of potatoes in each bag, how many
bags did he pack?
Answer:
9
Step-by-step explanation:
22.5÷2.5=9 this is how you solve it
A six sided fair die is rolled with two coins, all sides of a fair die have equal chances of being displayed ,Find the probability of no heads.
SOMEONE GIVE ME THE ANSWER TO THIS PROBLEM
Step-by-step explanation:
1 week is 3 rats
( w × 3 ) + 4
hope this helps
Answer:
P(w) = 3w+4
Step-by-step explanation:
For a Linear Equation , it takes the Form y = mx + c
where c is the Constant which is y-value at x=0
and the m is the Slope which is the change in y-value for a 1-unit change in x-value
So for our Question
y-value is represented by P(w) , Number of Rats
x-value is represented by w , Number of Weeks
So the Constant (c) is the P(w) at w=0 which is 4
and the Slope is the Change in P(w) value as w changes by 1 unit , which from week 0 to week 1 , P(w) changed from 4 to 7 , so the Change =7-4=3
Then the Slope m = 3
So the Linear Equation will be P = mw+c
Then P(w) = 3w+4
Select the correct answer Consider functions p and q. p(x) = log₂ (x - 1) g(x) = 2^x - 1 Which statement is true about these functions?
A The x-intercept of function pis greater than the x-intercept of function q.
B. The x-intercept of function p is less than the x-intercept of function q.
C. The x-intercepts cannot be compared because either por q does not have an x-intercept.
D. The x-intercept of function p is the same as the x-intercept of function q.
The x-intercept of p(x) is x = 2, the x-intercept of g(x) is x = 0, then the correct option is B.
What can we say about the x-intercepts of the given functions?For a function f(x), the x-intercept is the value of x such that:
f(x) = 0.
Here we have:
p(x) = log₂(x - 1)
Remember that:
logₙ(1) = 0
For any base n, then the x-intercept of p(x) is x = 2, because:
p(2) = log₂(2 - 1) = log₂(1) = 0.
The other function is:
g(x) = 2ˣ - 1
Remember that any number to the power of zero is equal to 1, then:
g(0) = 2⁰ - 1 = 1 - 1 = 0
The x-intercept of p(x) is x = 2, the x-intercept of g(x) is x = 0, then the correct option is B.
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Answer:
The x-intercept of function p is greater than the x-intercept of function q.
Step-by-step explanation:
Plato/Edmentum
6. Moses buys a TV set for 15200$ and sells it at a loss of 20's what is the selling price.
Answer:
Step-by-step explanation:
Loss is 20% of the C.P.
=
[tex]=\frac{20}{100}*100\\ =3040\\[/tex]
Selling price= Cost Price-Loss
[tex]=15200-3040\\=12160[/tex]
Answer:
20 / the losssssssssssss
Question
Dimitri's daughter weighed 3.8 kg at birth. Convert this to grams.
Answer:
3800grams
Step-by-step explanation:
multiply by 1000
What is the domain of the square root function graphed below?
-6. A
x≥-4
X>-4
x20
X>0
4
+2
4
90
y
2
4
B
30
X
How many integers are there between 15 and 2a?
Answer:
14-2a
Step-by-step explanation:
Since 15 and 21 are not included: we will have
=15-2a-1
=14-2a
7 of 8
A vase with a circular base exerts a force of 15 N on a table with a pressure of 700 N/m2.
Find the radius of the base of the vase in cm to 2 dp.
The radius of the base of the vase in cm is 8.26 cm
How to determine the area Force (F) = 15 NPressure (P) = 700 N/m²Area (A) =?P = F / A
700 = 15 / A
Cross multiply
700 × A = 15
Divide both sides by 700
A = 15 / 700
Multiply by 10000 to express in cm²
A = (15 / 700) × 10000
A = 214.29 cm²
How to determine the radiusArea (A) = 214.29 cm²Pi (π) = 3.14Radius (r) = ?A = πr²
Divide both side by π
r² = A / π
Take the square root of both sides
r = √(A / π)
r = √(214.29 / 3.14)
r = 8.26 cm
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What is the value of 8-|2(-3.5)-5|
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{8-|2(-3.5)-5|}[/tex]
[tex]\huge\textbf{Solving:}[/tex]
[tex]\mathbf{8-|2(-3.5)-5|}[/tex]
[tex]\mathbf{= 8 - |-7 - 5|}[/tex]
[tex]\mathbf{= -8 - |-12|}[/tex]
[tex]\mathbf{= 8 - 12}[/tex]
[tex]\mathbf{= -4}[/tex]
[tex]\huge\textbf{Answer:}[/tex]
[tex]\huge\boxed{\mathsf{-4}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Answer:
-4
Step-by-step explanation:
resolve the absolute value
I 2(-3.5) -5 I = I -7 -5 I = I -12 I = 12 The absolute value of any number is always positive
Then:
8 - 12 = -4
Hope this helps
Gordon rolls a fair dice 216 times. How many times would Gordon expect to roll a four?
Answer:
36
Step-by-step explanation:
1/6(216/1)
Arianna drove 180 miles in 3 hours. If she continued at the same rate, how long would it take to travel 960 miles?
Answer: 16 hours
Step-by-step explanation: If 180 miles was completed in 3 hours, it means 60 miles was completed in 1 hour (180 ÷ 3 = 60.) Now we just do 960 ÷ 60 and we get 16 hours of time at a constant speed, assuming no further alterations were made to accelerations.
If my problem was helpful, please mark it as Brainliest. It helps me earn reputation and ranks!
Arianna can travel 960 mi in 16 hours.
What is speed?Speed is defined as the rate of change of position of an object in any direction.
Given that, Arianna drove 180 miles in 3 hours.
As we know, Speed is the ratio of distance to the time in which the distance was covered.
Speed = distance/time
Ariana's speed = 180/3 = 60 mi/hr
Therefore, time taken by her to travel 960 mi = 960/60 = 16 hr.
Hence, Arianna can travel 960 mi in 16 hours.
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Can l please have some help
Answer:
62 cm^2
Step-by-step explanation:
Surface area of a rectangular prism is the area of each of the 6 faces added up. And area is length x width. There are three unique sets of sides, since each has another identical area opposite from it.
2(5 x 2) + 2(2 x 3) + 2(5 x 3)
2(10) + 2(6) + 2(15)
20 + 12 + 30
62 cm^2
Answer:
62 cm²Step-by-step explanation:
SA=2lw+2lh+2hw
2 * 2 * 3 + 2 * 2 * 5 + 2 * 3 * 5 =
62 cm²
giving brainliest to first correct answer
25. Which of the following is true about the graph of f(x) =
=
A. Its y-intercept is the point (0,6)
B. Its horizontal asymptote is y = 2
C. Its vertical asymptote are x = 3 and x = 2
D. The graph is symmetrical with respect to the y-axis
x²+2x+1
2x2-10x+12°
The true statement about the graph of [tex]f(x) = \frac{x^2 + 2x + 1}{2x^2 - 10x+12}[/tex] is (c) its vertical asymptote are x = 3 and x = 2
How to determine the true statement?The function is given as:
[tex]f(x) = \frac{x^2 + 2x + 1}{2x^2 - 10x+12}[/tex]
Set the denominator to 0
2x^2 - 10x + 12 = 0
Divide through by 2
x^2 - 5x + 6 = 0
Expand
x^2 - 2x - 3x + 6 = 0
Factorize
(x - 2)(x - 3) = 0
Solve for x
x = 2 or x = 3
The above represents the vertical asymptote of the graph
Hence, the vertical asymptote are x = 3 and x = 2
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