3.a.Sketch a line through the point

(-2,5) such that as an x-value

increases by 3. the y-value

decreases by 2.

y

o

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the equation of the line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Since x-value increases by 3,

Δx = 3

And y-value decreases by 2,

Δy = -2

Therefore, slope = [tex]\frac{\triangle y}{\triangle x}[/tex]

Slope = [tex]-\frac{2}{3}[/tex]

Equation of the line passing through (-2, 5) and slope = [tex]-\frac{2}{3}[/tex] will be,

y - 5 = [tex]-\frac{2}{3}(x+2)[/tex]

y = [tex]-\frac{2}{3}x-\frac{4}{3}+5[/tex]

y = [tex]-\frac{2}{3}x+\frac{11}{3}[/tex]

y = [tex]\frac{1}{3}(-2x+11)[/tex]

Table for input-output values will be,

x      -2         0         1          2         3

y       5        3.7       3        2.3      1.7    

We can plot these points to get the line on a graph.

3.a.Sketch A Line Through The Point(-2,5) Such That As An X-valueincreases By 3. The Y-valuedecreases

Related Questions

integrated math 2 chapter!help please i’m so lost :(

Answers

To solve this problem, you have to know that the measure of all the angles of a triangle is equal to 180 degrees.

Let's add each angle together and set them equal to 180 degrees.

180 degrees = 3x + 2x + 1 + x + 5

Combine like terms

180 degrees = 6x + 6

Subtract 6 from both sides

174 degrees = 6x

Divide both sides by 6

29 = x

We know that angle A = 3x = 3(29) = 87 degrees.

Plz help me I need help

Answers

Answer:

c has greatest ratio output with 0.6 compared to other

Step-by-step explanation:

-16 = -5x + x
please help

Answers

Answer:

x = 4

Step-by-step explanation:

-16 = -5x + x   -->   Collect like terms   -->    -16 = -4x    -->

                   swap the sides of the equation   4x = -16   -->  

   Divide both sides of the equation by -4   -->      x =4  

Which function below is the inverse of f(x)= 3x+5/7

Answers

Answer:

[tex]\huge\boxed{f^{-1}(x) = \frac{7x-5}{3}}[/tex]

Step-by-step explanation:

Given the function:

[tex]f(x) = \frac{3x+5}{7}[/tex]

Put f(x) = y

[tex]y = \frac{3x+5}{7}[/tex]

Interchange x and y

[tex]x = \frac{3y+5}{7}[/tex]

Solve for y

[tex]x = \frac{3y+5}{7}[/tex]

Multiplying both sides by 7

[tex]7x = 3y+5[/tex]

Subtracting y to both sides

[tex]7x-5 = 3y[/tex]

Dividing both sides by 3

[tex]\frac{7x-5}{3} = y[/tex]

OR

[tex]y = \frac{7x-5}{3}[/tex]

Put y = [tex]f^{-1}(x)[/tex]

So,

[tex]f^{-1}(x) = \frac{7x-5}{3}[/tex]

Hope this helped!

~AnonymousHelper1807

100000000000 to the 10th power

Answers

Answer:

The answer for this question is 1e+110

(20 points & brainliest)

Answers

I believe it’s 1 because anything set to the 0 power is automatically 1. I’m sorry if I’m wrong

Answer:

1

Step-by-step explanation:

Anything to the power of 0 is 1, so the answer is 1.

if f(x)=2x+5 and g(x)=x+3, write an expression that is equivalent (f g)(x)

Answers

Basically, you have to multiply the x of f(x) by the equation of g(x):

(f g)=2(x+3)+5
(f g)=2x + 6 +5
(f g)=2x + 11

If s(x) = x - 7 and t(x) = 4x2 – X + 3, which expression is equivalent to (tºs)(x)?

Answers

Answer:

4x² - 57x + 206

Step-by-step explanation:

To evaluate (t ○ s)(x), substitute x = s(x) into t(x) , that is

t(x - 7)

= 4(x - 7)² - (x - 7) + 3 ← expand (x - 7)² using FOIL

= 4(x² - 14x + 49) - x + 7 + 3

= 4x² - 56x + 196 - x + 10 ← collect like terms )

= 4x² - 57x + 206

Abox is 30 inches long wide, 16 inches long, and 14 inches high. To the nearest cubic inch,
what is the volume of the box?

Answers

Answer:

6720[tex]in^{3}[/tex]

Step-by-step explanation:

length x width x height

30 in x 16 in x 14 in = 6720[tex]in^{3}[/tex]

Which number BEST represents point x on the number line? A) 56 B) 65 C) 78 D) 87

Answers

where is the number line

Step-by-step explanation:

the l.c.m of 5ab and 3ab​

Answers

Answer:

The answer is 15ab. You can just simply multiply the two given number

Evaluate: -0.7 - (-2.6 + -0.8) + 7.1

Answers

Answer:

8.36

Step-by-step explanation:

[tex]-0.7-(-2.6+ -0.8) +7.1\\ (add inside the parenthesis)\\\\-0.7 - 3.4 + 7.1\\\\=8.36[/tex]

400 thousen times 600 times 30 divide by 32 plus 1

Answers

Step-by-step explanation:

400,000x600x30/32+1

400,000x600=240,000,000x30=7,200,000,000/32=

225,000,000+1=225,000,001

Really? -_-

Can I get all the right answers only

Answers

Answer:

yes, you can get all right answers.

Answer:

yes i believe that you can get all the answers right

Step-by-step explanation:

Point O is on line segment NP. Given OP = 10, NP = 2x, and NO = x + 7,
determine the numerical length of NO.

Answers

Answer:

Step-by-step explanation:

?

Answer:

Its 24

Step-by-step explanation:

Pam and her brother both open savings accounts. Each begin with a balance of zero dollars. For every two dollars that Pam save in her account, her brother save five dollars in his.

Answers

Answer:

Ratio [Pam to her brother] = 2:5

Step-by-step explanation:

Given:

Pam saves every two dollar

Her brother saves fives dollar (For every two dollar)

Find:

Ratio [Pam saving and his brothers saving]

Computation:

It is given that if Pam saves $2 her brother saves $5

So,

Ratio [Pam to her brother] = 2/5

Ratio [Pam to her brother] = 2:5

!!30 points!!
Are points A, B, and E collinear or noncollinear?

Answers

A. Noncolinear

ABE although they are in the same side, but they don't lie on the same line.

so its a noncolinear.

Answer:

ABE although they are in the same side, but they don't lie on the same line.

so its a noncolinear.

Step-by-step explanation:

The function g(x) = f(x – 7) + 3. Which of the following is true about the graph of g(x)

Answers

where are the answer choices

Someone help FAST ! It’s talking about integers.

Answers

Answer:

#1. 9

#2. -50

#3. -53

#4. 7

Solve - 2x - 8> 3x + 12.
Please help!

Answers

Answer:

B. X < -4

Step-by-step explanation:

-2x - 8 > 3x + 12

Subtract 3x from both sides

-5x -8 > 12

Add 8 both sides

-5x > 20

Divide -5 both sides

X < -4

Answer: x < -4

Step-by-step explanation:

Subtract 3x from both sides

-5x - 8 > 12

Add 8 to both sides

-5x > 20

Divide both sides by -5

x < -4

what is 660 increased by 1 followed by a further one

Answers

The answer is 662

660+1+1= 662

What is the least common multiple (LCM) of 5 and 12?

Answers

Answer:

60

Step-by-step explanation:

asked google

Answer:

60

Step-by-step explanation:

5: 5 10 15 20 25 30 35 40 45 50 55 60 65 70

12: 12 24 36 48 60 72 84

-6x -4y + 8z = -18
3x + 2y - 4z = 9
2x - 5y + 2z = 5

Answers

Answer:

i am sorry i don't know but i will try to find the answers as soon as possible i am sorry

An automobile travels 471 miles in 8 hours.
183
What is the average speed of the automobile to the nearest mile per hour?

Answers

58.875/mph but rounded to the nearest mph would be 59/mph


Because if they traveled 471 miles within 8 hours you would divide. 471 divided by 8=59

.what is .02 divied by .30 please dont show the calculator answer

Answers

Answer:

  1/15

Step-by-step explanation:

.02 = [tex]\frac{2}{100}[/tex]     and   .30 = [tex]\frac{3}{10}[/tex]

cross multiply

[tex]\frac{2}{100}[/tex]  ÷  [tex]\frac{3}{10}[/tex]   = 2(10) ÷ 300

[tex]\frac{20}{300} = \frac{1}{15}[/tex]

Fraction answer: 1/15

Decimal answer: 0.066666666666667


Determine if the following relation represents a function or not.
{(2,3), (4,3), (6,3), (5,9), (3,9)}

Answers

Answer:

It is a function.

Step-by-step explanation:

Functions are relations in which one domain value is assigned to exactly one range value. The x-value must not repeat in the relation set for it to be a function.

{(2,3), (4,3), (6,3), (5,9), (3,9)}

There are no repeating x-values given.

The relation should be a function.

Hope this helps.

Functions are relationships where a single domain value is allocated to a single range value precisely. For a relation set to be a function, the x-value cannot repeat.

What is a Set?

The simplest definition of a set in mathematics is a grouping of unique items. Any collection of elements, such as a group of numbers, hours of the week, different kinds of automobiles, etc., might be considered a set.

A set's elements are all the items that make up the set.

As per the given data in the question,

{(2,3), (4,3), (6,3), (5,9), (3,9)}

Due to the absence of repeated x-values.

So,

The relationship need to be functional.

To know more about set:

https://brainly.com/question/8053622

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Please I need help asap.. Express the area of the entire rectangle. Your answer should be a polynomial in standard form. ​

Answers

Answer:

A = x²+6x+8

Step-by-step explanation:

(x+4)(x+2)

x²+2x+4x+8

x²+6x+8

This table represents a proportional relationship. Use the table to identify the constant of proportionality between the ratio of the number of laps to the number of swimmers. A 2-column table with 4 rows. Column 1 is labeled Number of Swimmers with entries 20, 18, 14, 9. Column 2 is labeled Number of Laps with entries 240, 216, 168, 108.

Answers

Answer:

12

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

1. If an equation contains decimals, what is the first step
you can perform to eliminate the decimals?

Answers

Answer:

Multiply by a power of 10

Step-by-step explanation:

By multiplying a power of ten, it will make the decimals whole numbers.

For example: 0.75*10=75

0.0075*10000

To eliminate the decimals, the first step we can perform is to multiply the decimal by a power of 10. If there are n numbers after the decimal point, then we will multiply the decimal by 10ⁿ.

What is decimal?

In Algebra, a decimal is a type of number with a whole integer and a fractional part separated by a decimal point. The dot that appears between the entire number and the fractions part is the decimal point. 24.589, for example, is a decimal number. The whole number part is 24 and the fractional part is 589. The decimal point is ".".

How to solve this problem?

If an equation contains decimals, then we have to check how many numbers are there in the fractions section. If there are 3 numbers like 24.589, to eliminate decimals we have to multiply 24.589 by 10³ to get a whole number [ Since 24.589×10³ = (24589/1000)× 1000 = 24589].

Therefore, to eliminate the decimals, the first step we can perform is to multiply the decimal by a power of 10. If there are n numbers after the decimal point, then we will multiply the decimal by 10ⁿ.

Learn more about decimals here -

https://brainly.com/question/548650

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1,221 kids signed up for summer baseball. If the league has 32 teams and split the kids up evenly among the teams, how many kids would be placed on each team? Select the best response from below.

Answers

Answer:

38 kids on each team about.

I am Not 100% sure but I hope this Helps!

So D.

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