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3 years ago

Determine the x- and y-intercepts of the graph of y=−13x+3 .

1 answer:

6 0

The equation is in Slope intercept form.

y=mx+b

Where b is the y-intercept, or 3.

And to find the x-intercept, we have to set y=0. We know the slope and the y-intercept, so this should be fairly easy.

0= -13x+3

Subtract 3 on both sides.

-3= -13x

Divide -13 into both sides.

-3/-13=x

3/13= x (two positives equal a negative)

The x-intercept is 3/13, and the y-intercept is 3.

I hope this helps!
~cupcake

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Given the function h(x)=-x^2+4x+12, determine the average rate of change of the function over the interval −2≤x≤4.

iris [78.8K]

Answer:

Step-by-step explanation:

The average rate of change of h(x) in the closed interval [ a, b ] is

$\frac{f(b) - f(a)}{b-a}$

Here [ a, b ] = [ - 2, 4 ] , then

f(b) = f(4) = - (4)² + 4(4) + 12 = - 16 + 16 + 12 = 12

f(a) = f(- 2) = - (- 2)² + 4(- 2) + 12 = - 4 - 8 + 12 = 0

Then

average rate of change = $\frac{12-0}{4-(-2)}$ = $\frac{12}{6}$ = 2

5 0

2 years ago

Please help guys I’m really struggling

tatiyna

Answer: y = -4x - 4

Step-by-step explanation:

Point slope form: y - y1 = m(x - x1)

Plug in y1 and x1, and m. M is the slope, x1 and y1 are the values for a coordinate. You don't need to plug anything in for y or x, just y1 and x1.

First, find the slope. To find the slope, use this "formula" : $slope=\frac{rise}{run} =\frac{y1-y2}{x2-x1}$

Find two coordinate points. Let's use (-2,4) and (0,-4). Based on this, we know that y1 is 4, y2 is -4, x1 is -2, and x2 is 0. Plug these into the formula:

$\frac{4--4}{-2-0} =\frac{4+4}{-2} =\frac{8}{-2}=-4$

Then, pick any point to plug into the equation. Let's use (0,-4)

Finally, plug everything into the equation:

y - - 4 = -4(x - 0)

y + 4 = -4x

y = -4x - 4

3 0

2 years ago

Read 2 more answers

After filling the first sandbox to a height of 6 inches, the groundskeeper had 24 cubic feet of sand left

solniwko [45]

Answer:

Length could be 14.05 ft and width 3.41 ft.

Step-by-step explanation:

The volume of the sand in the second box = 24 ft^3.

Let its base be x feet wide and y feet long.

Then 2(x + y) < 35.

The volume of sand = 0.5xy ft^3.

So 0.5xy = 24

xy = 48.

x = 48/y

Substituting ih the above inequality:

2(48/y + y) < 35

96/y + 2y < 35

2y^2 - 35y + 96 < 0

Solving 2y^2 - 35y + 96 = 0 gives y = 3.41, 14.09.

So the length could be 14.05 ft and the width 48/14 = 3.41 ft.

5 0

2 years ago

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Solve by Substitution <br> -2x+y=0, 5x+3y=-11

arlik [135]

Answer:

(-1, -2)

Step-by-step explanation:

-2x + y = 0

y = 2x

5x + 3y = -11

5x + 3(2x) = -11 => 5x + 6x = -11

11x = -11

x = -1

-2(-1) + y= 0

2 + y = 0 => y = -2

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3 years ago

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After giving a discount of 15% an article is sold for rs 3400. find its marked price

Leona [35]

Divide 3400 by 0.85 to get 4000

Answer: 4000

5 0

2 years ago