Directions: Convert the following equations from standard form to slope-intercept form.
10. 6x + 2y = 10
11. x + 2y = 4
Gina Wilson (All Things Algebra" LLC], 2012-2017
12. x + y = -3
13. -2x + 3y = -6

Answers

Answer 1

Answer:

in order

y = -3x + 5

y = 1/2(x) + 2

y = -x - 3

y = 2/3(x) - 2

Step-by-step explanation:

slope-intercept form is y= mx + b

10. 6x + 2y = 10

2y = -6x + 10, subtract 6x from both sides

y= -3x + 5, divide both sides by 2

11. x + 2y = 4

2y = x + 4, subtract x from both sides

y = 1/2(x) + 2, divide both sides by 2

12. x + y = -3

y = -x - 3, subtract x from both sides

13. -2x + 3y = -6

3y = 2x - 6, add 2x to each side

y = 2/3(x) - 2, divide both sides by 3


Related Questions

To rent a certain meeting room, a college charges a reservation fee of $48 and an additional fee of $8.80 per hour. The film club wants to spend less than $100.80 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.​

Answers

Answer:

6 hours

Step-by-step explanation:

48 + 8.80

56.8 + 8.80

65.6 +8.80

74.4 + 8.80

83.2 +8.80

92 + 8.80

100.8

there are 36 students playing tag at recess. this is six times as many as are playing hopscotch which model shows the comparison​

Answers

Answer:

6 are playing hopscotch

Step-by-step explanation:

A construction crew is lengthening a road that originally measured 41 miles. The crew is adding one mile to the road each day.
Let L be the length (in miles) after D days of construction.

Write an equation relating L to D. Then use this equation to find the length of the road after 14 days.

Answers

Answer:

41 + (D x 1) = L

Step-by-step explanation:

To determine the necessary equation to lengthen a road whose initial measure is 41 miles, knowing that a new mile is built every day, the following equation must be performed:

41 + (D x 1) = L

Thus, if 14 days had passed, the length of the journey would be determined as follows:

41 + (14 x 1) = L

41 + 14 = L

55 = L

Therefore, after 14 days, the road's length will be 55 miles.

Identify the corresponding sides

Answers

Answer:

B, D, and F

Step-by-step explanation:

Separate the triangles into WBY and WXZ

Get each side

for WBY

sides are YW, BY, WB

for WXZ

sides are ZW, XZ, and WX

Use any method to divide

Answers

Answer:

Step-by-step explanation:

-2/3 needs to be multiplied by the reciprocal of 1/2

(-2/3)*(2/1)=-4/3= -1 1/3

Reciprocal of 1/2 is 2/1

-2/3 x 2/1 = -4/3

Pls help with right answer pls

Answers

Answer:

fifths

Step-by-step explanation:

I believe it is fifths since there are 5 people in the family, each person can get 3/5 of the pumpkin bread making it equal with nothing left over.

On a number line, the directed line segment from Q to S has endpoints Q at a -8 and S at 12 Point R partitions the direct line segment from Q to S in a 4:1 ratio Which expression correctly uses the formula (m/m+n)(x2 - x1) + x1 to find the location of point R?

Answers

Answer:

[tex]R =\frac{4}{4+1}(12 +8) -8[/tex]

Step-by-step explanation:

Given

[tex]QS = (-8,12)[/tex]

[tex]Ratio = 4 : 1[/tex]

Required

Determine the expression that correctly uses [tex]\frac{m}{m+n}(x_2 - x_1) + x_1[/tex]

In [tex]QS = (-8,12)[/tex]

[tex](x_1,x_2) = (-8,12)[/tex]

and

[tex]m:n = 4:1[/tex]

Substitute these values in:

[tex]\frac{m}{m+n}(x_2 - x_1) + x_1[/tex]

[tex]R =\frac{4}{4+1}(12 - (-8)) + (-8)[/tex]

The expression becomes:

[tex]R =\frac{4}{4+1}(12 +8) -8[/tex]

Solving further:

[tex]R = \frac{4}{5}(20)-8[/tex]

[tex]R = \frac{4*20}{5}-8[/tex]

[tex]R = \frac{80}{5}-8[/tex]

[tex]R = 16 - 8[/tex]

[tex]R = 8[/tex]

Hence, R is at 8 on the number line

Find the difference -4 3/8 - -1 1/4

Answers

Answer: -3 2/8

Step-by-step explanation:

Answer:

-3.125

Step-by-step explanation:

Tell whether each relationship is a function.

PLEASE I NEED THIS RIGHT NOW PLEASE HURRY

Answers

its a function , because the x dose not repeat

A paperclip manufacturer puts 75 paperclips in each box. Every hour the factory produces 114,375 paperclips. How many boxes does the factory fill each hour?

A
1,525

B
1,530

C
1,538

D
1,583

help this new school math is not for this mom

Answers

the answer is A 1,525 paperclips
because 114,375 divided by 75 is 1,525

Solve for t. 6t + 4 = -2​

Answers

6t + 4 = -2
6t = -2 - 4
6t = -6
t = -1
:)

Lillian purchased a guitar from Smash Music Stores. It regularly sold
for $670, but was on sale at 10% off. She paid 8% tax. She bought it on
the installment plan and paid 15% of the total cost with tax as a down
payment. Her monthly
payments were $58 per month for one year.
a. What is the discount?
b. What is the sale price?
c. What is the sales tax?
d. What is the total cost of the guitar?
e. What is the down payment?
f. What is the total of the monthly payments?
g. What is the total she paid for the guitar on the installment
plan?
h. What is the finance charge?

Answers

The most likely answer are be and c

a step by step solution. each step has clear instructions. Like a recioe

Answers

Answer:

there is no problem to solve

The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 1300 voters in the town and found that 38% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 35%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim?

Answers

Answer:

We reject H₀, we have enough evidence to support the claim that the porcentage of residents who favor construction is over 35%

Step-by-step explanation:

Sample size    n  = 1300

Sample  proportion   p = 38 %      =  0,38   then  q = 62%   q =  0,62

The size of the sample is enough to consider the binomial distribution can approximate to normal distribution

p*n  =  1300*0,38     q*n  =  1300*0,62  

p*n > 10    q*n> 10

Population proportion   35%        p₀  = 35 %    p₀  = 0,35

Hypothesis Test :

Null Hypothesis                                         H₀           p = p₀

Alternative Hypothesis                             Ha           p  > p₀

The hypothesis test is a one-tail test to the right

Significance Level   α  =  0,05  we go to z-table and find z(c)

z(c) =  1,64

To calculate  z(s)

z(s)  =  (  p  -  p₀ ) / √ p*q/ n

z(s)  =  0,38  -  0,35  / √ ( 0,38 * 0,62) / 1300

z(s)  =  0,03 / 0,013

z(s)  =  2,307

Comparing  z(c)  and  z(s)

z(s)  >  z(c)      2,307  >  1,64

z(s)  is in the rejection region for H₀, we must reject H₀

We have enough evidence to support the claim

Segment BD is a midsegment of triangle AEC

Which equation could be used to find the value of x

A 39x-11=17x+6
B 39x-11=2(17x+6)
C 2(39x-11)=17x+6
D 2(39x-11)=2(17x+6)

Answers

Answer:

B 39x-11=2(17x+6)

Step-by-step explanation:

Name the property shown.
(9 + 3) + 2 = 9+ (3 + 2)

Answers

Answer:

associative property

Step-by-step explanation:

The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like

the population in the town increased 5000 million per year. if the population is 120000 three years ago.. what is the population now

Answers

Answer:

The population will be 135000

5000 x 3 = 15000

Then you add 120000 with 15000

The amount a basketball coach spends at a sporting goods store depends on the number of basketballs the coach buys. The situation is represented by the function rule a= 13b.
Make a table of values and graph the function rule. Is the graph continuous or​ discrete? Explain.
Suppose the coach spent ​$117 before tax. How many basketballs did she​ buy?

Answers

I hope this helps! Have a good day

The graph is discrete and the coach can buy 9 basketballs with $117.

What are Continuous and Discrete Functions?

Continuous functions are those functions for which the value of function can take any number on a certain interval.

Discrete functions, on the other hand, takes separate and distinct values for the function.

The function here is,

a = 13 b

where a is the amount spending on the store and b is the number of basketball she buys.

(a) The table is shown below:

b : 0      1        2       3       4  

a : 0      13     26     39     52

The graph is discrete because the function values are discrete.

(b) If the coach spent $117,

a = 117

b = a / 13

b = 117 / 13

b = 9

Hence the graph of the function is discrete and the coach can buy 9 basketballs with the given amount.

Learn more about Continuous and Discrete Functions, click :

https://brainly.com/question/29378899

#SPJ2

PLSSS.
:)))))))(( HELP!!!!!

Answers

Answer:

54

Step-by-step explanation:

In a stem and leaf plot, the stems are typically increments of ten. Therefore, 5, or 50, is the largest stem. Now, in that row, we have to find the biggest leaf. Luckily for us, in stem and leaf plots, the leaves are organized in a least-to-greatest order. We go down to the end of the row and boom! 4. Put the stem and leaf together and we have 54.

The answer to this question is 54.
Also can you please mark my answer as the brainliest answer?
Thanks.

At 9 a.m., a freight train leaves Boston for NY C, traveling at an average rate of 24
miles per hour. At noon, a passenger train sets out on the same route, traveling at an
average rate of 60 miles per hour. How far from Boston do the two trains pass each
other?

Answers

Answer:

120 miles

Step-by-step explanation:

9:am is time

12:00 pm is time

Distance, speed, and time are the hints to solving the problem

Plz mark Brainliest

Pls help me with this

Answers

Answer:

Step-by-step explanation:

Remark

They are alternate interior angles and therefore equal.

Solution

8x - 10 = 3x + 90              Subtract 3x from both sides

8x - 3x - 10 = 90               Combine the left

5x - 10 = 90                      Add 10 to both sides

5x = 90 + 10

5x = 100                           Divide by 5

x = 20      

================

That isn't the answer. You need 3x + 90

<B = 3*20 + 90

<B = 60 + 90

<B = 150

1 (06.06 LC
A cell phone company is interested in the relationship between the number of texts per minute for their customers (y) and customer age. Based on the collected data, the least squares
regression line is y3.27 2.14, where x is the number of years by which age exceeds 12. Which of the following statements best describes the meaning of the slope of the least squares
regression line (points)
of your the estimated number of tots per minute increases by 27

Answers

The question is incomplete. Here is the complete question.

A cell phone company is interested in the relationship between the number of texts per minute for their customers (y) and customer age. Based on the data collected, the least-squares regression line is [tex]y=3.27+2.14x[/tex], where x is the number of years by which age exceeds 12. Which of the following statements best describes the meaning of the slope of the least-squares regression line?

a. For each increase in age of 1 year, the estimated number of texts per minute increases by 3.27.

b. For each increase in age of 1 year, the estimated number of texts per minute increases by 2.14.

c. For each increase of one text per minute, there is an estimated increase in age of 3.27 years.

d. For each increase of one text per minute, there is an estimated increase in age of 2.14 years.

e. The slope has no meaning because the units of measure for x and y are not the same.

Answer: b. For each increase in age of 1 year, the estimated number of texts per minute increases by 2.14.

Step-by-step explanation: The least-squares regression is a method of fitness, i.e., it fits a data set of number into an equation.

In this case, the relationship between number of texts per minute and customer age is given by a line equation:

[tex]y=3.27+2.14x[/tex]

in which, y represents the number of texts per minute and x is the age.

In a line equation, slope is the measure of steepness, i.e., how inclined the line is.

In the least squares regression line, slope is 2.14 and it means, in each additional year, the number of texts increase by a factor of 2.14, which is the correct alternative.

3. A student measures the time it takes for a sheet of paper to fall to the ground from a marked height. The student then crumples the same piece of paper and drops the paper from the same. What variable did the student change? ​

Answers

Answer:

independent variable is the shape of the paper

dependent variable is the time it takes to fall


A puppy named Blue started out at 2 pounds and gained 4 pounds every month. How heavy
was Blue at 8 months old?

Answers

Blue was 34 pounds at 8 months old. You do 4*8=32 +2=34

Answer:

34 pounds

Step-by-step explanation:

One month, Blue will be 6

Two month, Blue will be 10

Three month, Blue will be 14

Four month, Blue will be 18

Five month, Blue will be 22

Six month, Blue will be 26

Seven month, Blue will be 30

Eight month, Blue will be 34

By adding 4 every month, you will get 34

or

4 x 8 = 32

32 + 2 = 34

Sorry if my reasoning doesn't make sense-

Anyways, hopefully this helped! :D

-LavenderVye

Find the perimeter of the figure below.

Answers

Answer: The missing side length is 5yd's and the perimeter is 84

Step-by-step explanation:

Multiply: 14.3 x 0.5

Answers

Answer:7.15

Step-by-step explanation: You multiply it

This one is the answer for your question.

273
13–21
=
16
7 — 6

Answers

Answer:

2

Step-by-step explanation:

Please help I need it plz

Answers

Answer:

your answer is goin to be -27

Answer:

b= -27

Step-by-step explanation:

-1/3b=9

or, b=9/-1/3

or, b= -27

hence b=-27

51÷251=
Find the remainder

Answers

Answer:

0.20

Step-by-step explanation:

Answer/Step-by-step explanation:

How about we go bit by bit, attempt to decrease numerator to a number nearer to different of denominator which likewise ought to be measurable.

5^251/135*5^250/135*(25)^125/13Rem[5*(25)^125/13]Rem[5*(-1)^125/13]Rem[-5/13}

Answer is 8

This is an exemplary illustration of Leftover portion Hypothesis, here on the off chance that you get befuddled as a result of negative remainder, at that point attempt to compose it in easier term this way,

-5 = 13*(-1) + 8 , here 8 is remainder. Remainder can also be 13+5 = 18 by writing like this,

-5 = 13*1 -18, but again dividing -18 by 13 will yield to value which we got earlier that’s 8.

Hope this helped!

can u pls help me with this question ​

Answers

the answer is $15.58

Answer:

15.58

Step-by-step explanation:

it is

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