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olganol [36]
3 years ago
15

PLEASE HELP!! Evaluate f(-7). f(x) = 3x2

Mathematics
1 answer:
julsineya [31]3 years ago
6 0

Answer:

f(- 7) = 147

Step-by-step explanation:

To evaluate f(- 7) substitute x = - 7 into f(x)

f(- 7) = 3(- 7)² = 3 × 49 = 147

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Switch 1.25 and 0.258
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3 years ago
The point-slope form of the equation of a line that passes through points (8,4) and (0, 2) is y-
Oksi-84 [34.3K]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

While the point-slope equation of a line is given by:

y-y_ {0} = m (x-x_ {0})

Where:

m: It's the slope

(x_ {0}, y_ {0}):It is a point through which the line passes

In this case we have a line through:

(8,4) and (0,2)

Therefore, its slope is:

m = \frac {2-4} {0-8} = \frac {-2} {- 8} = \frac {1} {4}

Its point-slope equation is:

y-4 = \frac {1} {4} (x-8)

Then, we manipulate the expression to find the equation of the slope-intersection form:

y-4 = \frac {1} {4} x- \frac {8} {4}\\y-4 = \frac {1} {4} x-2\\y = \frac {1} {4} x-2 + 4\\y = \frac {1} {4} x + 2

Therefore, the cut-off point with the y-axis is b = 2

ANswer:

y = \frac {1} {4} x + 2

7 0
2 years ago
A farmer plans to fence a rectangular pasture adjacent to a river the pasture must contain 405,000 square meters
jeyben [28]

The dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let's suppose x and y are the sides of the rectangular garden and y is the parallel to the river.

Then according to the problem:

2x + y = P ..(1)

P is the perimeter of the rectangle.

xy = 405000  (area of the rectangle)

Plug the value of y in the equation (1) from the above equation.

P(x) = 2x + 405000/x

P'(x) = x—405000/x² = 0

x = 450 m

P''(x) > 0 hence at x = 450 the value of P(x) is minimum.

y = 405000/450

y = 900 m

P(min) = 1800 m

Thus, the dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

Learn more about the rectangle here:

brainly.com/question/15019502

#SPJ4

7 0
2 years ago
22 hours. A
SIZIF [17.4K]

Answer:

100/8 = 12.5 (s)

Step-by-step explanation:

hmm bro

7 0
3 years ago
Read 2 more answers
Explain step by step.
docker41 [41]

Answer:

use math w a y for that its easier and it will give you the right answer

3 0
2 years ago
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