Mathematics Middle School

A line passes through (1, –5) and (–3, 7).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in slope-intercept form.

Answers

Answer 1
A.  First, find the slope, which  is -0.5, and then insert it into point-slope form, which is y-y1=m(x-x1), or y-1=-0.5(x+5). That's point-slope form.


B.  First, distribute -0.5 to both terms  in the parenthesis, to get y-1=-0.5x-2.5, and lastly add 1 to both sides to get the slope-intercept form of y=-0.5x-1.5
Answer 2

Answer:

you didnt give the answer its A

Step-by-step explanation:

cause u gay

Related Questions

The range is the set of
A. first coordinates
B. ordered pairs
C. second coordinates

Answers

The range is the set of A. Ordered Pairs


Feel free to ask me more questions on my profile. I am more than happy to help. Don't forget Brainliest! :)
I think the answer is B. Ordered Pairs
:)

Which type of transformation is shown?



reflection
translation
rotation
dilation

Answers

The answer to this question is rotation
Because the shape didn't reflect across an axis and stay the same, it is not a reflection.
It didn't move and stay the same either, so we know it isn't a translation.
It didn't change size, so it is not a dilation.
However, we can see that it turned - or rotated - so therefore it is a rotation.

1/12 as a decimal. Long division.

Answers

0.08333333333333 would be the answer, and the 3 would keep repeating.

Tim Duncan is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 72% of the time. What is the probability of Tim Duncan making all of his next 8 free throw attempts?

Answers

Answer:

Hence, the probability of Tim Duncan making all of his next 8 free throw attempts is:

[tex](\dfrac{18}{25})^8=0.0722204136[/tex]

Step-by-step explanation:

As the probability of one free throw does not depend on the any other i.e. the probability of each throw is independent.

Hence, the probability of making all of his next 8 free throw is calculated as:

Probability of next 8 free throw=Probability of first free throw×probability o f second free throw×··················× Probability of 8th free throw.

i.e. it is given by:

[tex]Probability=\dfrac{72}{100}\times \dfrac{72}{100}\times \dfrac{72}{100}\times \dfrac{72}{100}\times \dfrac{72}{100}\times \dfrac{72}{100}\times \dfrac{72}{100}\times \dfrac{72}{100}\\\\\\Probability=(\dfrac{72}{100})^8\\\\Probability=(\dfrac{18}{25})^8[/tex]

Hence, the probability is:

[tex](\dfrac{18}{25})^8=0.0722204136[/tex]

We have that the he probability of Tim Duncan making all of his next 8 free throw attempts  is mathematically given as

[tex]P=0.72^8[/tex]

From the question we are told

Tim Duncan is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 72% of the time. What is the probability of Tim Duncan making all of his next 8 free throw attempts?

Arithmetic

Generally the equation for the  binomial probability is mathematically given as

[tex]P=\frac{n!}{X!(n-X)!}*p^X*(1-p)^{n-X}\\\\Therefore\\\\ P=\frac{8!}{8!(8-8)!}*0.72^8*(1-0.72)^{0}[/tex]

[tex]P=0.72^8[/tex]

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Simplify 8(x + 6) - 10. 8x - 4 8x + 28 8x + 38

Answers

8(x + 6) - 10

8x + 48 - 10

8x + 38 <------------- answer

8x + 38 should be the answer...not sure.

Brenda needs $40 to buy a large box of chocolate. She has saved $12 and plans to work as a babysitter to earn $7 per hour. Which inequality shows the minimum number of hours, n, that Brenda should work as a babysitter to earn enough to buy the large box of chocolate?



Answers

(Brenda savings + Brenda baby sitter earning) should be more or at least equal to 40 
If n = number of hours Brenda works then her baby sitter earning = 7n 

12 + 7n ≥ 40 , so n≥4 

So answer is c
SHE SHOULD WORK 4 HOURS MINUMUM FOR HER BOXES OF CHOCLATE

In your day-to-day routines, you use math when you go to the grocery store, bank, mall and when cooking. How do you imagine that you will use math in your healthcare career?

Answers

Math would be useful in planning my healthcare because it will help figure out exactly how much money I can invest in different types of healthcare. For example, i will be able to tell if I can afford to pay hospital bills for common illnesses that everyone experiences in their life like colds, broken part of body. etc. , or if I can pay for more expensive procedures and operations.

Mildred brought 1 cent stamps,32 cent stamps, and 33 cent stamps for $21.80. The number of 1 cent stamps exceed the number of 33 cent stamps by 50. The number of 32 cents was 10 less than twice the number of 33 cents stamps. How many of each kind did she buy? Mildred brought 1 cent stamps,32 cent stamps, and 33 cent stamps for $21.80. The number of 1 cent stamps exceed the number of 33 cent stamps by 50. The number of 32 cents was 10 less than twice the number of 33 cents stamps. How many of each kind did she buy?

Answers

x = 1 cent, y = 32 cent, and z = 33 cent

0.01x + 0.32y + 0.33z = 21.80
x = z + 50
y = 2z - 10

0.01(z + 50) + 0.32(2z - 10) + 0.33z = 21.80
0.01z + 0.5 + 0.64z - 3.20 + 0.33z = 21.80
0.98z - 2.7 = 21.8
0.98z = 21.8 + 2.7
0.98z = 24.5
z = 24.5 / 0.98
z = 25 <=== 33 cent stamps

x = z + 50
x = 25 + 50
x = 75 <=== 1 cent stamps

y = 2z - 10
y = 2(25) - 10
y = 50 - 10
y = 40 <== 32 cent stamps


 



Final answer:

Mildred bought 480 1 cent stamps, 410 32 cent stamps, and 520 33 cent stamps.

Explanation:

Let's solve this problem using a system of equations.

Let's use the variables x, y, and z to represent the number of 1 cent stamps, 32 cent stamps, and 33 cent stamps respectively that Mildred bought. We can write the following equations based on the information given:

x + y + z = 2180  (since the total cost was $21.80)

x = z + 50  (since the number of 1 cent stamps exceed the number of 33 cent stamps by 50)

y = 2z - 10  (since the number of 32 cent stamps was 10 less than twice the number of 33 cents stamps)

Let's solve this system of equations:

Substitute the value of x from equation 2 into equation 1: (z + 50) + y + z = 2180Substitute the value of y from equation 3 into equation 1: z + 50 + (2z - 10) + z = 2180Simplify and solve for zSubstitute the value of z into equation 2 to find xSubstitute the value of z into equation 3 to find y

After solving the system of equations, we find that Mildred bought 480 1 cent stamps, 410 32 cent stamps, and 520 33 cent stamps.

Hunter bought a package of 24 pencils for $3.12. Write and solve an equation to determine the cost of each pencil in the package

Answers

24 p = 3.12
     p = 3.12 / 24
     p = 0.13

answer
the cost of each pencil in the package = $0.13

The cost of each pencil in the package is $0.13.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that a Hunter bought a package of 24 pencils for $3.12.

We have to find the cost of each pencil.

Let x be the cost of each pencil.

A pack of 24 pencils is three point one two

24x=3.12

Divide both sides by 24

x=3.12/24

Three point one two divided by twenty four.

x=0.13

Hence, the cost of each pencil in the package is $0.13.

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Complete the equation and tell what property you used 16+31=31+16

Answers

201555555555555555555555555555555

simplify (4x-4)-3 , pleas help

Answers

12x+12
unless it asks you to factorise again
12(x+1)

hope this helps! Dont forget to put it as the brainliest answer to help me out too xD
Hey, there Jacobbarnes6671! :)

[tex](4x-4)-3[/tex]
Add like terms 
[tex]4x-7[/tex]

This is the furthest you can simplify this expression.

Hope this helps.
-Benjamin

Find the quotient of the quantity [tex]
\frac{4x^3y+12x^2y^3-20xy}{4xy} [/tex].

A.[tex]
x^2+3xy^2+5[/tex]

B. [tex]
x^2+3xy-5[/tex]

C. [tex]
4x^3y+12x^2y^3-5[/tex]

D. [tex]
x^2+3xy^2-5[/tex]

Please tell me how to get the correct answer! Thank you!

Answers

we need to factor out the things like in distributive
remember ab+ac=a(b+c)
so

[tex]\frac{4x^3y+12x^2y^3-20xy}{4xy}=[/tex]
[tex]\frac{(4xy)(x^2)+(4xy)(3xy)+(4xy)(-5)}{4xy}=[/tex]
[tex]\frac{(4xy)(x^2+3xy-5)}{4xy}=[/tex]
[tex]x^2+3xy-5[/tex]


answer is B

Answer:

answer:b

Step-by-step explanation:

we need to factor out the things like in distributive

remember ab+ac=a(b+c)

so

Periodic tune-ups are important because they

Answers

Periodic tune ups and transmission overhauling according to company’s specifications lengthen the life of the vehicle, avoid the need for expensive maintenances, and avoid unsafe failures. For the duration of a tune-up, you must have your spark plugs, spark provider, distributor cap, and air filter new. The effectiveness of your vehicle should be checked and attuned, and your points should be changed, if your vehicle has them. The law necessitates in furthermost cases that you have an emission test every two years, at the time of record-keeping or at time of sale. It is a respectable awareness to have the smog control constituents checked at the time of a tune-up. Make certain that smog controller devices are together and linked appropriately.

If F(x)=8x, which of the following is the inverse of F(x)

Answers

hello :
[tex]f(x) = 8x[/tex]
let : [tex]y=8x[/tex]
so : [tex]x= \frac{1}{8} y[/tex]
the inverse of  [tex]f(x)[/tex] is :  [tex]g(x) = \frac{1}{8} x[/tex]

Answer: answer is F^1(x) = x/8

Step-by-step explanation:

Please answer correct for brainliest

Answers

For trapezoid, the area = (upper base + lower base) * height / 2

So area = (12 + (2*2 + 12) ) *13 / 2 = 182
you will need to find the area of the square in the middle  and than the area of the two triangle which they are the same so only one and then that result multiply it by 2 and added to the area of the square 

Sarah is a news anchor. She works 55 hours a week, but she is only on-air about 19% of those hours. Approximately how many hours is Sarah on-air each week?

Answers

.19 x 55 = 10.45 hours
0.19 x 55 = 10.45 hours
Hope this helped! :D

How many quarts in a gallon

Answers

There are four quarts.
4 quarts in a gallon

In order for the data in the table to represent a linear function with a rate of change of –8, what must be the value of m?

A. m = 2
B. m = 3
C. m = 19
D. m = 35

Which is the correct answer???

Answers

Answer:  The correct option is (C) 19.

Step-by-step explanation:  We are given to find the value of m so that the data the table to represent a linear function with a rate of change of –8.

We know that

the rate of change for a linear function with two points (a, b) and (c, d) is given by

[tex]R=\dfrac{d-b}{c-a}.[/tex]

From the table, we note that the points (10, 27) and (11, m) satisfy the given linear function.

So, the rate of change of the linear function will be

[tex]R=\dfrac{m-27}{11-10}\\\\\\\Rightarrow -8=\dfrac{m-27}{1}\\\\\Rightarrow -8=m-27\\\\\Rightarrow m=27-8\\\\\Rightarrow m=19.[/tex]

Thus, the required value of m is 19.

Option (C) is CORRECT.

The population of a type of local dragonfly can be found using an infinite geometric series where a1 = 65 and the common ratio is 1/6. Find the sum of this infinite series that will be the upper limit of this population.

Answers

In mathematics, number sequencing of the same pattern are called progression. There are three types of progression: arithmetic, harmonic and geometric. The pattern in arithmetic is called common difference, while the pattern in geometric is called common ratio. Harmonic progression is just the reciprocal of the arithmetic sequence.

The common ratio is denoted as r. For values of r<1, the sum of the infinite series is equal to

S∞ = A₁/(1-r), where A1 is the first term of the sequence. Substituting A₁=65 and r=1/6:

S∞ = A₁/(1-r) = 65/(1-1/6)
S∞ = 78


Identify the initial value and rate of change for the graph shown below.
Initial value: 5.5, rate of change: negative 3 over 4.
Initial value: 4, rate of change: negative 3 over 4.
Initial value: negative 3 over 4., rate of change: 4
Initial value: negative 3 over 4., rate of change: 5.5

Answers

The initial value is 4 and the rate of change is -3/4

Answer:

The initial value is 4 and the rate of change is tex]\frac{-3}{4}[/tex]

Step-by-step explanation:

The initial value is the y intercept of the given line.

Y intercept is the point where the graph crosses y axis

y intercept is (0,4) so initial value is 4

Rate of change is the slope

To find rate of change we use formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Pick two points from the graph

(0,4) and (4,1)

Rate of change =  [tex]\frac{1-4}{4-0}=\frac{-3}{4}[/tex]

1. Shade in the American prairie as it was in the 1800s on this map, or use the space below the map to describe the location of the American prairie as it was in the 1800s.

Answers

Answer:

Step-by-step explanation:

What is the 24% of 40?

Answers

24% of 40.

40 times 0.24 = 9.6

Therefore 24% of 40 = 9.6
Well, the word "of" means, "multiply" (if in case you didn't know)
Anyhow, lets start working out this problem, shall we? 24(40) = ? 24 ÷ 100 = 0.24 0.24 (40) = 9.6 Your answer would be: 9.6

Help me with the first question

Answers

Part A) Divide 3 over 18.99 and we get 3/18.99 = 0.15798 approximately. So for this choice, we have roughly a 15.798% discount

Part B) The discount here is 10%. So far, discount A is better

Part C) The discount here is 15%. Discount A is also better because 15.798% is larger than 15%

Part D) Convert 1/4 to decimal form to get 0.25 and then move the decimal point 2 spots to the right to get 25%. So 1/4 = 25%. The discount here is 25%. This discount (of 25%) is much better than discount A.

Store 5 has the best discount since 25% is the largest among all the percentages.

Answer: Choice D)

find the value of x below if necessary round to the nearest tenth.
NEED ANSWER PLEASE HELP

Answers

x = 20 x sin(27)

= 9.0798

 rounded to nearest tenth = 9.1

O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x? 23 78.5 337 314

Answers

I would have to say the answer is 23.

Final answer:

To find the value of x in the given ellipse equation centered at (4.619, 5.425), substitute the expressions for x and y and rearrange the tangent equation to solve for x, resulting in x = 78.5.

Explanation:

To find the value of x, you are given the information related to the center and the major axis of the ellipse. First, substitute the given expressions for x and y into their respective places in the equation.

Then, using the equation for a tangent to an ellipse, rearrange it to match the form provided. This rearranged equation will give you the needed value of x.

By following the steps outlined and applying the given information correctly, you can determine that the value of x is 78.5.

Polygons EFHG and E′F′H′G′ are shown on the following coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A polygon EFHG is shown with vertex E on ordered pair 2, 2, vertex F on ordered pair 2, 4, vertex H on ordered pair 3, 5 and vertex G on ordered pair 3, 1. A polygon E prime F prime H prime G prime is shown with vertex E prime on ordered pair negative 1, 2, vertex F prime on ordered pair negative 3, 2, vertex H prime on ordered pair negative 4, 3, and vertex G prime on ordered pair 0, 3. What set of transformations is performed on EFHG to form E′F′H′G′?

Answers

Check the first picture. Our goal is to map  EFHG to  E′F′H′G′.

All choices involve a rotation by 90° or 270° counterclockwise about the origin.

consider a rotation by 90° counterclockwise. Each point P(a, b) can be rotated 90° cwise about the origin to form P"(a",b") :

by drawing the right angle POP", such that |PO|=|OP"|.

or by plotting each P"(a",b") so that  (a",b")=(-b, a)

for example if G(3, 1) is mapped to G(-1, 3) by either of the procedures described.

check picture 2.

EFHG  is mapped to E′'F'′H'′G′'.

In order to map E′'F'′H'′G′' to E'F′H'G′, we need to translate the figure 1 unit right.


Answer: 

"A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right"

Answer:

A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right

Step-by-step explanation:

i took the test

The basement of a large department store features discounted merchandise. Their policy is to reduce the previous month's price of the item by 5 % each month for 6 months, and then give the unsold items to charity. Let Upper S Subscript 6 be the sale price for the sixth month and Upper P the original price. Express Upper S Subscript 6 as a function of Upper P Baseline Number .

Answers

Basically, you are asked to make an equation to represent the sales price after 6 months. But first, let's formulate the general equation. Let S be the sales price after t months, while P is the base price. The equation would be

S = P(1-0.05t)
Simplifying,
S = 0.95Pt

So, after 6 months, the sales price would be:
S₆ = 0.95P(6)
S₆ = 5.7P

One side of a triangle is 15 inches, and the area of the triangle is 90 sq. inches. Find the area of a similar triangle in which the corresponding side is 9 inches.

Answers

Do the ratio of the two sides. To get the area square the two sides.

(9/15) ratio of sides

(9/15)^2 ratio of areas

81/225

Multiply for the known area

90*(81/225) = 162/5 = 32,4 sq. inches (area of corresponding triangle)

Find the Solution to the system of equations.

A. (1, 4)
B. (4, 1)
C. (0, 3)
D. (4, -1)

Answers

The solution to the system of equations represented by the graph is (b) (4,1)

How to determine the solution?

The solution to the system of equations is the point of intesection of the equations.

From the graph, the lines intersect at the point

(x,y) = (4,1)

Hence, the solution to the system of equations is (4,1)

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A theater company charges $4.50 per ticket for people of all age groups. If c represents the total number of children who bought tickets and a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets? 4.5(c + a) 4.5c + a c + 4.5a 9(c + a)

Answers

4.5(c+a) because the price of each ticket is $4.50 no matter how old you are so you add both of them and then multiply that sum by the price of each ticket which is 4.5 so the answer is 4.5(c+a).

Answer:

4.5 c+a)

Step-by-step explanation:

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