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3 years ago

Graph the linear function whose equation is y - 2 = - (x + 1)

Mathematics

1 answer:

DIA [1.3K]3 years ago

3 0

Answer:

<h2>In the attachment</h2>

Step-by-step explanation:

Convert to the slope-intercept form (y = mx + b):

y - 2 = -(x + 1) use the distributive property

y - 2 = -x - 1 add 2 to both sides

y - 2 + 2 = -x - 1 + 2

y = -x + 1

We only need two points to plot the graph of the linear function.

Select any two x values. Insert them into the equation.

Calculate the value of y.

For x = 1:

y = -1 + 1 = 0 → (1, 0)

For x = 0:

y = -0 + 1 = 1 → (0, 1)

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Step-by-step explanation:

Bring everything with x over to one side and everything else to the other.

ax-bx=-8

Factor out x.

x(a-b)=-8

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x=-8/(a-b)

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3 years ago

There were 640 gallons of water in a 1,600-gallon pool. Water is being pumped into the pool at a rate of 320 gallons per hour.

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Step-by-step explanation:

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3 years ago

Find the area of a rectangular garden that has a width of 4x−6 and a length of 2x+4.

vova2212 [387]

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8x^2+4x-24

Step-by-step explanation:

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4 years ago

Inspect the number line. Which square roots have a difference of about 0.5? StartRoot 11 EndRoot and StartRoot 14 EndRoot StartR

natka813 [3]

Answer:

Step-by-step explanation

just answered the question

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3 years ago

Read 2 more answers

Translate each verbal description into an algebraic expression. Simplify the expression when you can

REY [17]

Hello there!
So, let's start off with the first one:

A) 60% of One - half x

I believe a couple of possible equations would be: 0.60*1/2x or 0.60*0.5x. 1/2 and 0.5 both equal half of a number. The 0.60 would equal 60%. I'll plug 10 into x of both equations to see what I come up with:

First Equation:
1/2 * 10/1 = 10/2 or 5.
0.60 * 5 = 3

Second Equation:
0.5 * 10 = 5
0.60 * 5 = 3

So they both come up with the same answer, so that makes them both equal, which makes them both possible equations.

B) 7 times z reduced by a third of the product

7z - 1/3 seems like a good equation. Let me plug in 5 for z to solve:

7 * 5 = 35
Convert 35/1 into 105/3 by multiplying both sides by 3
105/3 - 1/3 = 104/3 (approx. 34.7)

C) Three-fourths of V subtracted from 6 times two-ninths

A good equation for this would probably be (6*2/9)-3/4v. I'll plug 5 into v to show how we would solve the equation:

6/1 * 2/9 = 12/9 or 1 1/3.
3/4 * 5/1 = 15/4 or 3 3/4.
(Use the fractions 16/12 and 45/12 as 16/12 = 12/9 and 15/4 = 45/12)
16/12 - 45/12 = -29/12 or −2 5/12

D) Sum of 2x, (2/3 + 5) and 11-x

I think the right equation for this would be 2x + (2/3 + 5) + 11-x. Plug in 3 for x to solve:

(Use 15/3 when adding 2/3 and 5 because 5 = 15/3)
2/3 + 15/3 = 17/3 or 5 2/3
2 * 3 = 6
11 - 3 = 8
(Use 18/3 and 24/3 when adding up 6 + 5 2/3 + 8 as 6 = 18/3 and 8 = 24/3
17/3 + 18/3 + 24/3 = 59/3 or 19 2/3

Sorry if this confused you xD but, basically, the possible equations are as follows:

1 = 0.60*1/2x or 0.60*0.5x
2 = 7z - 1/3
3 = (6*2/9)-3/4v
4 = 2x + (2/3 + 5) + 11-x

I hope this helped! If not, I'm very sorry. Algebra isn't my strong suit ^.^'

3 0

3 years ago