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3 years ago

Which equation is shown on the graph?

Mathematics

1 answer:

Nostrana [21]3 years ago

4 0

$y=mx+b\\\\A(0;\ 2);\ B(-2;\ 0)\\\\for\ x=2\to y=2\\\\substitute:m\cdot0+b=2\to b=2\\\\y=mx+2\\\\for\ x=-2\to y=0\\\\substitute:-2m+2=0\to-2m=-2\ \ \ /:(-2)\to m=1\\\\Answer:y=x+2\ (B)$

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Suppose Carson worked at his father's business for 8 hours one week. What is the minimum number of full hours he would need to b

NISA [10]

Answer: 12

Step-by-step explanation:

I think it’s 12, don’t you do 96/8?

6 0

3 years ago

Read 2 more answers

-8(8v + 1) - 2 = -394

Bess [88]

Answer:

v = 6

Step-by-step explanation:

Solve for v:

-8 (8 v + 1) - 2 = -394

-8 (8 v + 1) = -64 v - 8:

-64 v - 8 - 2 = -394

Grouping like terms, -64 v - 8 - 2 = -64 v + (-8 - 2):

-64 v + (-8 - 2) = -394

-8 - 2 = -10:

-10 - 64 v = -394

Add 10 to both sides:

(10 - 10) - 64 v = 10 - 394

10 - 10 = 0:

-64 v = 10 - 394

10 - 394 = -384:

-64 v = -384

Divide both sides of -64 v = -384 by -64:

(-64 v)/(-64) = (-384)/(-64)

(-64)/(-64) = 1:

v = (-384)/(-64)

The gcd of -384 and -64 is -64, so (-384)/(-64) = (-64×6)/(-64×1) = (-64)/(-64)×6 = 6:

Answer: v = 6

3 0

4 years ago

Read 2 more answers

A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 70 square feet. Find the

Vedmedyk [2.9K]

Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

Step(i):-

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

Step(ii):-

Area of the rectangle = length × width

= x ( x-3)

Given that the area of the rectangle = 70 square feet

x ( x-3) = 70

⇒ x² - 3x - 70 =0

⇒ x² - 10 x + 7 x - 70 =0

⇒ x (x -10) +7( x-10) =0

⇒ ( x+7) ( x-10) = 0

⇒ x =-7 and x=10

Final answer:-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

8 0

3 years ago

How do you simplify 16^2/24^7

quester [9]

Answer:

1/(2¹³·3⁷)

Step-by-step explanation:

16²/24⁷

Factor the terms = (2⁴)²/(8×3)⁷

Apply the Power Rule = 2⁸/(2³×3)⁷

Apply the Power Rule = 2⁸/(2²¹ × 3⁷)

Apply the Quotient Rule = 1/(2¹³·3⁷)

5 0

3 years ago

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OLga [1]

Answer:

The answer is z = -2

Step-by-step explanation:

You combine like terms.

Then subtract 7z from both sides.

Add 10 to both sides.

Then divide both sides by -14. (28/-14)

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4 0

3 years ago