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3 years ago

H (x)=x^2-5 Find h (-7)

Mathematics

2 answers:

Sliva [168]3 years ago

8 0

H(-7)^2-5=49-5=44
Hope this helps!

nalin [4]3 years ago

3 0

H (-7) = (-7)^2 -5 = 49-5 = 44

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Write the integral in one variable to find the volume of the solid obtained by rotating the first-quadrant region bounded by y =

Dovator [93]

Answer:

V = π ∫₀² (y² − 8y + 6√(2y)) dy

V = π ∫₀² (6x − 5x² + x³) dx

Step-by-step explanation:

y₁ = 0.5x²

y₂ = x

First, find the intersections of the curves.

0.5x² = x

x² = 2x

x² − 2x = 0

x (x − 2) = 0

x = 0 or x = 2

So the points of intersection are (0, 0) and (2, 2).

When we revolve this region about the line x = 3, we get a hollow shape that looks like an upside-down funnel, or a volcano.

One option is to use washer method to find the volume, by cutting a thin horizontal slice of thickness dy, inner radius 3−x₁ = 3−√(2y), and outer radius of 3−x₂ = 3−y.

V = ∫₀² π [(3−y)² − (3−√(2y))²] dy

V = ∫₀² π (9 − 6y + y² − 9 + 6√(2y) − 2y) dy

V = π ∫₀² (y² − 8y + 6√(2y)) dy

Another option is to use shell method to find the volume, by cutting a thin vertical slice of thickness dx, radius 3−x, and height y₂−y₁ = x−0.5x².

V = ∫₀² 2π (3 − x) (x − 0.5x²) dx

V = ∫₀² 2π (3x − 1.5x² − x² + 0.5x³) dx

V = ∫₀² 2π (3x − 2.5x² + 0.5x³) dx

V = π ∫₀² (6x − 5x² + x³) dx

The second option is arguably easier to evaluate, but either one will get you the same answer (V = 8π/3).

7 0

3 years ago

Find the value of C that completes the square

MatroZZZ [7]

Answer:

Step-by-step explanation:

y^2-22y+c

complete the square ax^2+bx+c is our old formula quadratic equation

we know that to find c we will divide b/2 and square it

22/2=11

c^2=121

we have y^2-22y+121

6 0

3 years ago

Help!!! Now!!! Limited time!!

hammer [34]

Answer: 3

Step-by-step explanation: y=-2, also y=-2x+4. Therefore, we got a equation: -2=-2x+4. You then minus 4 from both sides of the equation and you will get -6=-2x. You then solve for x by dividing -6 by -2, you get x=3

6 0

2 years ago

“ write all your answers with a positive exponent so your answer will be in the form of x^# or 1/(x^#)

gayaneshka [121]

Answer:

Step-by-step explanation:

5). $\frac{1}{x^{-9}}$ = $\frac{1}{\frac{1}{x^9} }$

= $x^{9}$

6). $\frac{1}{x^{-2}}=\frac{1}{\frac{1}{x^2} }$

= x²

7). $x^{-6}=\frac{1}{x^6}$

8). $\frac{1}{x^{-7}}=\frac{1}{\frac{1}{x^7} }$

= $x^{7}$

9). $x^{-8}=\frac{1}{x^8}$

10). $\frac{1}{x^{-3}}$ = $\frac{1}{\frac{1}{x^{3}}}$

= x³

7 0

2 years ago

Simplify this expression

kompoz [17]

The first step for solving this problem is to know that in order to divide by a fraction,, we must multiply by the reciprocal of that fraction. This will look like the following:
$\frac{x+2}{ x^{2} -6x-16}$ × 9x
Write -6x as a difference.
$\frac{x+2}{ x^{2} +2x-8x-16}$ × 9x
Factor out x from x² + 2x.
$\frac{x+2}{ x X (x+2)-8x-16}$ × 9x
Factor out -8 from -8(x + 2).
$\frac{x+2}{ x X (x+2)-8(x+2)}$ × 9x
Factor out x + 2 from the denominator (bottom) of the expression.
$\frac{x+2}{(x+2)X(x-8)}$ × 9x
Reduce the fraction with x + 2
$\frac{1}{x-8}$ × 9x
Finally,, calculate the product to find your final answer.
$\frac{9x}{x-8}$
This means that the correct answer to your question is going to be option B.
Let me know if you have any further questions.
:)

3 0

2 years ago