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3 years ago

A rectangle has an area of 8x2 - 2x - 45. The length of the

Mathematics

1 answer:

Savatey [412]3 years ago

5 0

Answer:

$Width = W = 2x-5$

Step-by-step explanation:

Given Data:

Length of rectangle = L = $4x + 9$ ------->(Equation 1)

Area of rectangle = A = $8x^{2} - 2x -45$ square inches ------->(Equation 2)

To find out:

Width of rectangle = W = ?

Formula:

Area = A = L×W

$Width = W = \frac{A}{L}$

Solution:

$Width = W = \frac{A}{L}$

$Width = W = \frac{8x^{2} - 2x - 45 }{4x+9}$

For complete division check the attached image.

$Width = W = 2x-5$ inches

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Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x − 9)? T

egoroff_w [7]

Answer:

The graph of y = f(x) will shift to the right 9 units.

Step-by-step explanation:

Despite some lack of clarity, because usually this equality is in terms of x and y. Let's do it.

Taking f(x) as its parent function in other words

$y=f(x)$

Testing some values:

x|y

0|0

1|1

2|2

Adding to the function -9 units is to shift it to the right

$y=f(x-9)$

Testing some values to certify:

x|y

-9|0-9

-8|1-9

-7|2-9

4 0

3 years ago

Help please?!!!!!!!!:8/8/&

Rama09 [41]

Answer:

The answer is A) y =3x + 3

Step-by-step explanation:

You substitute the gradient and y intercept into the equation of y = mx +b

6 0

3 years ago

Read 2 more answers

Help help I don’t really get this???

insens350 [35]

Answer:

Question 4: $y=\displaystyle -\frac{4}{5}x$

Question 5: $y=-5x-3$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope of the line and b is the y-intercept (the y-coordinate of the point where the line crosses the y-axis).

Question 4

1) Determine the slope (m)

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$ where two points that pass through the line are $(x_1,y_1)$ and $(x_2,y_2)$

In the graph, two easy-to-identify points on the line are (-5,4) and (5,-4). Plug these into the equation:

$\displaystyle m=\frac{-4-4}{5-(-5)}\\\\\displaystyle m=\frac{-4-4}{5+5}\\\\\displaystyle m=\frac{-8}{10}\\\\\displaystyle m=-\frac{4}{5}$

Therefore, the slope of the line is $\displaystyle -\frac{4}{5}$ . Plug this into $y=mx+b$ as the slope (m):

$y=\displaystyle -\frac{4}{5}x+b$

2) Determine the y-intercept (b)

On the graph, we can see that the line crosses the y-axis when y is 0. Therefore, the y-intercept (b) is 0. Plug this into $y=\displaystyle -\frac{4}{5}x+b$ :

$y=\displaystyle -\frac{4}{5}x+0\\\\y=\displaystyle -\frac{4}{5}x$

Question 5

1) Determine the slope (m)

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Two easy-to-identify points are (-1,2) and (0,-3). Plug these into the equation:

$\displaystyle m=\frac{-3-2}{0-(-1)}\\\\\displaystyle m=\frac{-3-2}{0+1}\\\\\displaystyle m=\frac{-5}{1}\\\\m=-5$

Therefore, the slope is -5. Plug this into $y=mx+b$ :

$y=-5x+b$

2) Determine the y-intercept (b)

On the graph, we can see that the line crosses the y-axis at the point (0,-3). The y-coordinate of this point is -3. Therefore, the y-intercept (b) is -3. Plug this into $y=-5x+b$ :

$y=-5x+(-3)\\y=-5x-3$

I hope this helps!

8 0

2 years ago

Need to find area, perimeter please

Molodets [167]

To find area you do length x width. To find perimeter you do length + width.

4 0

3 years ago

The number of computer games sold during the sale was 257. This is 162 more than the number sold the week before the sale. How m

Black_prince [1.1K]

Answer: 92

Step-by-step explanation: Subtract 257 & 162 to get your answer :)

5 0

3 years ago