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2 years ago

Write an equation for the graphed line in......please help.

Mathematics

1 answer:

liq [111]2 years ago

4 0

The graphed line is y = 3/2x + 3.

In order to solve for this, we need to start by finding the slope. To find the slope, we start by selecting two points on the graph. We'll use (0, 3) and (-2, 0).

m(slope) = (y2 - y1)/(x2 - x1)

m = (3 - 0)/(0 - -2)

m = 3/2

Now that we have this, we can use a point and slope intercept form to find the intercept.

y = mx + b

0 = (3/2)(-2) + b

0 = -3 + b

3 = b

And we can use the slope and intercept to model the equation as y = 3/2x + 3

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Step-by-step explanation:

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2 years ago

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The table below shows how much Joe earns, y, after working x hours.

FromTheMoon [43]

Answer: Given : Joe’s Earnings and hour worked

The relationship between money earned and hours worked is linear.

Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75).

To Find : How do the two slopes compare?

Solution:

Hours worked Money earned

4 $30

10 $75

12 $90

22 $165

slope between (4, 30) and (12, 90),

= (90 - 30)/(12 - 4)

= 60/8

= 15/2

slope between (4, 30) and (10, 75)

= (75 - 30)/(10-4)

= 45/6

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The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.

Both Slopes are same.

i hope this helped and have a nice day/night

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2 years ago

XYZ Software employed three different salespeople last year. Person 1

anastassius [24]

Answer:291.40

Step-by-step explanation:

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2 years ago

Simplify 6(x+4)=-2(4x-4)+8x

AveGali [126]

$\huge\mathscr{\colorbox{blue}{\color{yellow}{Answer:}}}$

$\large{\rightarrow{6\:(x\:+\:4)\:=\:-\:2\:(4x\:-\:4)\:+\:8x}}$

$\large{\rightarrow{6x\:+\:24\:=\:-\:8x\:+\:8\:+\:8x}}$

$\large{\rightarrow{6x\:+\:24\:=\:{\cancel{-\:8x}}\:+\:8\:+{\cancel{\:8x}}}}$

$\large{\rightarrow{6x\:+\:24\:=\:8}}$

$\large{\rightarrow{6x\:=\:8\:-\:24}}$

$\large{\rightarrow{6x\:=\:16}}$

$\large{\rightarrow{x\:=\:\frac{-\:16}{6}}}\\$

$\large\pink{\boxed{\color{lime}{\rightarrow{x\:=\:\frac{-\:8}{3}}}}}\\$

3 0

2 years ago

Which of the following is equal to the rational expression when x does not equal 3 or 1 x^2-9/(x-1)(x-3)

yuradex [85]

Answer:

b. $\frac{x+3}{x-1}$

Step-by-step explanation:

Given expression is:

$\frac{x^{2}-9 }{(x-1)(x-3)}$

Let us factorize the numerator using the formula:

$a^{2} -b^{2} =(a+b)(a-b)$

$\frac{(x+3)(x-3)}{(x-1)(x-3)}$

Since x ≠ 3, let us cancel the common factor x - 3 in the numerator and in the denominator.

So, $\frac{x^{2}-9 }{(x-1)(x-3)} =\frac{x+3}{x-1}$

7 0

2 years ago