I need a helping hand please
Joseph compared the graphs of two functions.

The first function was f(x)=−2x+6.
The second function fits the values in the table:
x 2 5 8 11
y 2 -4 -10 -16
What is the distance between the y-intercepts of the two functions? To earn full credit, show your work using a method explained in the Orientation.

Answers

Answer 1

Answer:

There is no separation (distance) between the first y-intercept (6) and the second (6).

Step-by-step explanation:

We'll assume that the table shows points on a straight line.

If we go from x = 2 to x = 8 (an increase of 6), the corresponding y values go from y =2 to y = -10 (a decrease of 12).  Thus, the slope of the line represented by the table is

m = rise / run = -12/6, or m = -2.

We need to find the equation of the line represented by the table, so that we can know the y-intercept.  Start with y = mx + b and substitute -2 for m:

y = -2x + b.  We arbitrarily choose an ordered pair from the table, such as (11, -16).  Here we substitute 11 for x and -16 for y:

-16 = -2(11) + b, or

-16 = -22 + b, which yields b = 6.

This is the same y-intercept as the '6' in the given f(x) = -2x + 6.  So:  There is no separation (distance) between the first y-intercept (6) and the second (6).


Related Questions

The Tokyo Skytree in Japan is 634 m high. Meanwhile, the Canton Tower in China is 600 m high.
How much taller is the Tokyo Skytree?

Answers

Answer:

34

Step-by-step explanation:

634 - 600 = 34

evaluate 16/5 + -7/8​

Answers

Answer:

93/40 or 2.325

Step-by-step explanation:

16/5 + (-7/8​) =

16/5 - 7/8 =

(128 - 35)/40 =

93/40 or 2.325

Graph the function f(x)=1/2x+1

Answers

Answer:

See attached graph.

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!3

Answers

Graph A should be the correct answer :))
if that’s wrong then try B

Type the missing number in this sequence:
5,
12, 19,
26,

Answers

Answer:

33

Step-by-step explanation:

You are adding 7 each time.

Hope this helps :)

Answer:

33

Step-by-step explanation:

Sequence is the progression of a number in a sequencial order.

[tex]5 + 12 + 19 + 26 + 33[/tex]

13 What is the equation of the line that has a slope of -3 and passes through the point (4,6)?
A-3x+y=-14
B -3x+y=-6
C 3x+y=18
D 3x+y=22

Answers

Step-by-step explanation:

the general equation of a line is

y = ax + b

a is the slope of the line.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b :

6 = -3×4 + b = -12 + b

18 = b

so, the full line equation is

y = -3x + 18

which is answer C : 3x + y = 18

Salem is a diver. Today he descended to a depth of 50 feet below sea level. Then he swam up 8 feet and descended another 4 feet. How far below sea level is Salem now?

Answers

Answer:

46 feet below sea level

Step-by-step explanation:

First, we start at -50 feet, which is 50 feet below sea level. If he swims 8 feet up, we should add the 8 feet. -50 + 8 feet which would give us -42. If he descends another 4 feet from the point where he is at right now (-42 feet), it would leave us with the point where he would be which is -46 feet. This is because we are adding the -4 feet, he descends to the -46 feet which he is already at.

A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice. How much sparkling water would you need to mix with 9 quarts of grape juice?

Answers

Answer:

The amount of sparkling water that would be needed to mix with 9 quarts of grape juice is 18 quarts.

Ratio expresses the relationship between two or more numbers. It shows the frequency with which one value is contained in another value. According to the question, the ratio of sparkling water to grape juice is .

In order to determine the amount of sparkling water that would be needed with 9 quarts of grape juice, this equation would be used:

( × 9) ÷  

( × 9) ×  = 18 quarts

To learn more about ratios, please check: brainly.com/question/17995727

Step-by-step explanation:

18 quarts of sparkling water would you need to mix with 9 quarts of grape juice.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that recipe for sparkling grape juice calls for [tex]1\frac{1}{2}[/tex] quarts of sparkling water and 3/4 quart of grape juice

Let us convert  [tex]1\frac{1}{2}[/tex] to improper fraction as 3/2

We need to find the amount of sparkling water would you need to mix with 9 quarts of grape juice

Let x be the sparkling water would you need to mix with 9 quarts of grape juice

Let us form a proportional equation.

3/2/(3/4)=x/9

3/2×4/3=x/9

2=x/9

18=x

Hence, 18 quarts of sparkling water would you need to mix with 9 quarts of grape juice.

To learn more on Ratios click:

https://brainly.com/question/13419413

#SPJ2

The answer please it’s from khan academy

Answers

Answer:

Step-by-step explanation:

Before removing brackets, multiply everything inside them by two.

2*1/5 m - 2 * 2/5 + 3/5

2/5 m - 4/5 + 3/5

2/5 m - 1/5

That's as much as you can do. No further reduction is possible.

Answer:

[tex]\frac{2m-1}{5}[/tex]

Step-by-step explanation:

[tex]2(\frac{1}{5} m-\frac{2}{5} )+\frac{3}{5}[/tex]

First, simplify [tex]\frac{1}{5} m[/tex] to [tex]\frac{m}{5}[/tex]:

[tex]2(\frac{m}{5} -\frac{2}{5} )+\frac{3}{5}[/tex]

Merge the denominators:

[tex]2(\frac{m-2}{5} )+\frac{3}{5}[/tex]

Simplify:

[tex]\frac{2m-4}{5} +\frac{3}{5}[/tex]

Merge the denominators again:

[tex]\frac{2m-4+3}{5}[/tex]

Simplify one final time:

[tex]\frac{2m-1}{5}[/tex]

Please mark brainliest if this helps you, and I can provide more information if needed.

A city council acquired 3,437.5 acres of land to add to their park system. The city plans to divide the acreage evenly into 22 separate parks.
There will be ___ acres in each park.

please help

Answers

there will b 156.2 acres in each park. hope this helps!!

LeAnnne has $4 in dimes and nickels. She has 10 more dimes than nickels. How many nickels does she have?

Answers

Answer:

21 she has 21 nickels

Step-by-step explanation:

Googel

The number of nickels LeAnne has 20 and the number of dimes LeAnne has 30.

Given that, LeAnnne has $4 in dimes and nickels.

Let the number of dimes be d and the number of nickels be n.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

She has 10 more dimes than nickels.

That is, d=n+10

So, 0.05n+0.10d=4

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

5n+10(n+10)=400

5n+10n+100=400

15n=300

n=20

d=n+10

d=30

Therefore, the number of nickels LeAnne has 20.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ3

I NEED HELP WITH ANOTHER ONE FIND THE MEASURE OF X

Answers

Answer:

x ≈ 3.2

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{3.7}[/tex] ( multiply both sides by 3.7 )

3.7 × cos29° = x , then

x ≈ 3.2 ( to the nearest tenth )

Answer:

3.2

Step-by-step explanation:

we have two angles, 29 and 90.

we need one more angle to make the total sum of the angles 180.

the angle to do this is 61.

the area of this triangle so far is 2.90244.

using the area, we can find that the x side is 3.23609.

round 3.23609 to the tenth, we get 3.2

do anybody know the answer to dis

53.9 - 5.07

Answers

Answer:

48.83

Step-by-step explanation

write an equation in slope-intercept form of the line (-10,-4) and (5,6)

Answers

Answer:

y = 2/3x + 8/3

Step-by-step explanation:

ggraph this function

Answers

Answer:

The graph of the equation x^2 - 4x - 5 is linked as a pdf down below.

The cookie's diameter is 14 cm. How much is the radius?

Answers

Answer:

7

Step-by-step explanation:

The cookie's diameter is 14 cm. How much is the radius?

diameter = 2 * radius

radius = 1/2 diameter

14 : 2 = 7

i need some help with simple algebra! using pemdas :p

Answers

Answer:

the answer is 69

Step-by-step explanation:

the step by step explanation is that 2+2+4

pemdas

perenthasy

exponents

multiplication

division

adition

subtraction

Whoever needed help with this MATH question I got it for you...
Answer: F(x)= 4,800(1.5)^X

Answers

Answer:

1+2=3

Step-by-step explanation:

Determine the number of solutions the system of 6(x+2)=y and y=3(2x+3) will have.

Answers

Answer:

  0 solutions

Step-by-step explanation:

The two equations describe parallel lines, so will have no point of intersection. There are no solutions to this system of equations.

__

The equations can be put into slope-intercept form by eliminating the parentheses.

  6(x +2) = y   ⇒   y = 6x +12

  y = 3(2x +3)   ⇒   y = 6x +9

These have the same slope (6), but different y-intercepts (9 and 12). They are parallel lines.

which problem solving strategy would be best to solve this problem?

To study for the spelling competition, Jose memorized 2 words from the list. The next day, Jose memorized 4 words from the list. The third day, Jose memorized 8 words from the list. If Jose continues, how many words will he memorize on the tenth day

A.look for a pattern

B.work backwards

C.write an equation

D.guess, check and revise​

Answers

Answer:

The best solving strategy is D. Finding a pattern would be decent, but D clearly is an better answer,

Step-by-step explanation:

x- (2x + 1) = 8- (3x + 3)

Answers

Answer:

x = 3

Step-by-step explanation:

x- (2x + 1) = 8- (3x + 3)

x - 2x - 1 = 8 - 3x - 3

x - 2x + 3x = 8 - 3 + 1

2x = 6

x = 6/2 = 3

in a class there are 48 students the number of the girls is 3 times how many boys and girls are in class​

Answers

Answer:

There are 12 boys and 36 girls.

Step-by-step explanation:

This equation should help explain it.

x + 3x = 48

Let's say that there are an x number of boys. Then there would be 3 times x of girls. So x (the boys) plus 3x (the girls) equal 48 (the total amount of students).

To solve this equation, first add x and 3x to get 4x. Then divide that by 48, and we get x = 2.

The amount of boys = x, so there are 12 boys.

The amount of girls = 3x, so there are 3 times 12, or 36 girls.

x is a whole number such that 7x – 3 > 18
Write down the smallest value of x.

Answers

7x - 3 > 18

Add 3 to both sides

7x > 21

Divide both sides by 7:

X > 3

Since x has to be greater than 3 the smallest whole number that would work is 4

Answer: 4

Answer:

see below

Step-by-step explanation:

7x – 3 > 18

Add 3 to each side

7x – 3+3 > 18+3

7x> 21

Divide by 7

7x/7 >21/7

x > 3

The smallest integer value of x is 4

What is the area of the following triangle in square meters? Do not round your answer. A =

WITH THE RIGHT ANSWER WILL RECEIVE BRAINLIEST

Answers

Answer:

0.324 m²

Step-by-step explanation:

To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2

54 cm is the base, dashed is the height which is 1.2 m, we convert 54 cm into meters (54 cm = 0.54 m)

and we apply the formula

1.2 * 0.54 : 2 =

0.324 m²

Answer:

32.4? or 0.324 m²

Step-by-step explanation:

Willa is building birdhouses . Each side of the birdhouse needs 9 nails . How many nails does Willa need for each birdhouse . There are 7 sides on the birdhouse

Answers

Answer:

63

Step-by-step explanation:

I side=9 nails*1= 9nails

7 sides= 9*7 nails= 63 nails

Each birdhouse requires 63 nail.

Hope this helps!

what is the simplest form 2 sqrt 3 / sqrt 6

Answers

howdy the answer is A

sqrt 2

Doug digs a hole that is 1.7 feet below ground level. He plants a bush that is 3 7/10 feet tall from the bottom of the root to the top branch. how much of the Bush is above the ground? (help this assignment is apart of my grade!)​

Answers

Answer:

2 feet

Step-by-step explanation:

37/10 - 1.7

3.7 - 1.7

2.0

= 2 feet

what is the proportional relationship represented by this table?

Answers

what?? what table ???

Suppose you have a coin collection of dimes and quarters containing 46 coins. If you have $6.70, how many of each type of coin do you have?

Answers

answer:

32 dimes and 14 quarters

step by step:

32 x 10 = 320

14 x 25 = 350

320 + 350 = 670

670¢ =  6.70$

Suppose that there are 500 students in the school about how many of them study between 4.2 and 5.8

Answers

You have to take a poll.
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