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yawa3891 [41]
3 years ago
9

Show equation has a slope of -3 and a y-intercept of 8

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
8 0

Answer:

y=-3x+8

Step-by-step explanation:

You might be interested in
Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.
Lina20 [59]

Answer:

44

Step-by-step explanation:

Given:

f(x) = 4x^2 - 3

Required:

Average range of change from 3 to 9

SOLUTION:

Step 1:

Find f(3) and f(9):

To find f(3), replace x with 3 in the given function

f(3) = 4(3)^2 - 3

f(3) = 4(9) - 3

f(3) = 36 - 3

f(3) = 33

To find f(9), replace x with 9 in the given function

f(9) = 4(9)^2 - 3

f(9) = 4(81) - 3

f(9) = 324 - 3

f(9) = 321

Average rate of change = \frac{f(b) - f(a)}{b - a}

Where,

a = 3, f(a) = 33

b = 9, f(b) = 321

Plug in the values into the formula for average rate of change.

= \frac{321 - 33}{9 - 3}

= \frac{288}{6}

= 44

Average rate of change = 44

3 0
3 years ago
Find the total amount you will pay on a bill of $43.50 and tip rate of 12%.
Mars2501 [29]
About $48.72



Explanation:
8 0
3 years ago
Scientists studying dolphin echolocation simulate the projection of a bottlenose dolphin's clicking sounds using computer
lina2011 [118]

Step-by-step explanation:

The equation of a parabola with focus at (h, k) and the directrix y = p is given by the following formula:

(y - k)^2 = 4 * f * (x - h)

In this case, the focus is at the origin (0, 0) and the directrix is the line y = -1.3, so the equation representing the cross section of the reflector is:

y^2 = 4 * f * x

  = 4 * (-1.3) * x

  = -5.2x

The depth of the reflector is the distance from the vertex to the directrix. In this case, the vertex is at the origin, so the depth is simply the distance from the origin to the line y = -1.3. Since the directrix is a horizontal line, this distance is simply the absolute value of the y-coordinate of the line, which is 1.3 inches. Therefore, the depth of the reflector is approximately 1.3 inches.

4 0
1 year ago
Another type of subtraction equation is 16-b=7. Explain how you would sole this equation then solve it.
sladkih [1.3K]

Answer: B = 9


Step-by-step explanation:


16-b=7

Rearrange so we can subtract 16 by 7

16 - 7 = 9


Substituting 9 for b and making sure it's correct.

16 - 9 = 7


4 0
4 years ago
Read 2 more answers
Simplify by dividing (-3/8) -5/9
Elodia [21]

Answer:

\frac{-27}{40}

Step-by-step explanation:

(\frac{-3}{8})÷\frac{5}{9}

\frac{-3}{8}×\frac{9}{5}

\frac{-27}{40}

6 0
3 years ago
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