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zhuklara [117]
3 years ago
10

WRITE THE EQUATION, IN THE FORM y=mx + b, that represents the line shown on the graph.

Mathematics
1 answer:
ollegr [7]3 years ago
3 0

Answer:

y = 3/2x - 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

y-intercept (0, -2)

Random Point (2, 1)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute [slope formula]:          m=\frac{1+2}{2-0}
  2. Add/Subtract:                               m=\frac{3}{2}

<u>Step 3: Write equation</u>

<em>Substitute into General Form</em>

y = 3/2x - 2

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Hiro painted his room at a rate of 8 square meters per hour. After 3 hours of painting, he had 28 square meters left to paint. L
lesya692 [45]

Answer: A(t)=-8t+52

Step-by-step explanation:

<h3> The missing question is: "What is the Functions formula A(t)=?"</h3><h2 />

The  equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

According to the data given in the exercise, you know that:

- A(t) represents the area to paint the Hiros' romm as a function of time.

- The rate he painted the room was 8 square meters per hour.

- The area left to paint after 3 hours was 28 m².

Therefore, based on this, you can idenfity that:

1. The slope of the line is:

m=-8

2. One of the point on the line is:

(3,28)

So you must substitute the slope and the coordinates of that point into y=mx+b and then solve for "b" in order to find its value:

28=-8(3)+b\\\\28+24=b\\\\b=52

Therefore, you can determine that the function A(t) is:

A(t)=-8t+52

4 0
3 years ago
Explain how to use the Distributive Property to simplify the left side of
zlopas [31]

Answer:

4a + 4(3) = 15

4a = 15 - 12

a = ¾

5 0
3 years ago
What is the reciprocal of the sum of a half, a third, and a fourth?
soldier1979 [14.2K]

Answer

12/13

Step-by-step explanation:

1/2+1/3+1/4=?

6/12+4/12+3/12=?

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Reciprocal is 12/13

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4 years ago
Simplify the expression using the distributive property 2(5c+8)
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Answer:

The answer is -2.5c-4d

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3 years ago
HELPPPPPPPPP
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Answer:

Refer below

Step-by-step explanation:

A function is said to be increasing if y increases whenever x increases and y decreases whenever x decreases.

A function is decreasing if y increases when x decreases or vice versa.

Hence from the graph we find that when the curve is going up when we move to right the function is increasing otherwise decreasing.

f(x) attains its extreme values at x = -8, -3, 2 and 6

Left of -8 we find f(x) is increasing.

ie.(-infty, -8) increases, (-8,-3)decreases, (-3,2) increases, (2,6) decreases and (6,infty) increases

To consolidate increasing in (-infty, -8)U(-3,2)U(6,infty)

and decreses in (-8,-3)U(2,6)

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4 years ago
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