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notsponge [240]
2 years ago
13

Y=-x^2 +78x-512 I need help with this problem

Mathematics
1 answer:
TiliK225 [7]2 years ago
7 0

Answer:

Step-by-step explanation:

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
ddd [48]

Answer:

f'(x) = 4x^2 - 3 for x \le -3

Step-by-step explanation:

See attachment for proper question

Given

f(x) = -\frac{1}{2}\sqrt{x + 3}

For

x \ge -3

Required

Determine the inverse function

f(x) = -\frac{1}{2}\sqrt{x + 3}

Replace f(x) with y

y = -\frac{1}{2}\sqrt{x + 3}

Swap the positions of x and y

x = -\frac{1}{2}\sqrt{y + 3}

Multiply both sides by -2

-2 * x =-2 *  -\frac{1}{2}\sqrt{y + 3}

-2x =\sqrt{y + 3}

Square both sides

(-2x)^2 =(\sqrt{y + 3})^2

4x^2 =y + 3

Make y the subject

y = 4x^2 - 3

The inverse has been solved. So, we need to replace y with f'(x)

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

Next, is to determine the interval

x \ge -3

Change inequality to \le

x \le -3

Hence, the inverse function is:

f'(x) = 4x^2 - 3 for x \le -3

7 0
3 years ago
Tony solves the linear equation 3(x - 3) + 2x + 9 = 2x + 2(x - 1) using the step shown below.
Natasha_Volkova [10]

Answer:

D.)

Step-by-step explanation:

because when you have numbers inside the parentheses, you have to multiply both of those numbers by the number to the right of the parentheses, not just the X.

8 0
3 years ago
0.729 rounded by the nearest tenth
katrin [286]
0.7 is rounded to the tenth place
4 0
3 years ago
Read 2 more answers
Negative 4 equals r/20 minus 5
levacccp [35]

Answer: r = - 20

Step-by-step explanation:

-4 = \frac{r}{20} - 5

\frac{r}{20} = 4-5

\frac{r}{20}=-1

\frac{r}{20}*20 = -1 * 20

r = -20

5 0
3 years ago
Help plz<br><br> What different and similar between Rectangle and square
podryga [215]
The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.

Definition of Square and Rectangle
Square: A square is a closed two-dimensional plane figure with four sides. All the four sides of the square are of equal measure. Also, the four interior angles of a quadrilateral are of 9o degrees. In other words, a square is considered as a quadrilateral or a 4-sided polygon. Since all the angles are of equal measure, it is considered as an equiangular quadrilateral.

Rectangle: A rectangle is a quadrilateral with four sides. The opposite side of a rectangle is parallel to each other. It means that the opposite faces of the rectangle are of equal measure. A rectangle has four angles, each measuring about 90 degrees. As like square, a rectangle is also called an equiangular quadrilateral.
6 0
3 years ago
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