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3 years ago

The expression V = 2x3 + 6x2 can be used to find the volume of the trapezoidal prism below.

Mathematics

2 answers:

WITCHER [35]3 years ago

6 0

V= 24x3 + 72x2 I think that’s right

ValentinkaMS [17]3 years ago

3 0

Answer:

It's 4320 on edge

Step-by-step explanation:

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The one-to-one functions g and h are defined as follows

Debora [2.8K]

Answer:

$g^-^1(x)=-8$

$h^-^1(x)=\frac{x-4}{3}$

$(h^-^1 \ o\ h)(-3)=-3$

Step-by-step explanation:

When given the following functions,

$g=[(-2,-7),(4,6),(6,-8),(7,4)]$

$h(x)=3x+4$

One is asked to find the following,

1. Question 1

$g^-^1(4)$

When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;

$g^-^1(4)$

$g(4)=6\\g(6)=-8\\g^-^1(4)=-8$

2. Question 2

$h^-^1(x)$

Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,

$h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)$

$h^-^1(x)=\frac{x-4}{3}$

3. Question 3

$(h^-^1 \ o\ h)(-3)$

This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function ( $h^-^1$ ) and simplify. Then substitute (-3) into the result.

$h^-^1\ o\ h$

$\frac{(3x+4)-4}{3}\\\\=\frac{3x+4-4}{3}\\\\=\frac{3x}{3}\\\\=x$

Now substitute (-3) in place of (x),

$=-3$

8 0

3 years ago

Simplify fully A) X^7 / X^3 B) Y^5 / Y^4

DENIUS [597]

Hi,

$\frac{x^{a} }{x^{b} } =x^{a-b}$

$\frac{x^{7} }{x^{3} }= x^{7-3} = x^{4}$

$\frac{y^{5} }{y^{4} } = y^{5-4} = y^{1} = y$

;)

8 0

2 years ago

Mrs. Jones asked Janae which perfect square comes between 100 and 144. Janae said that 120 is the perfect square becau

Fantom [35]

Answer:

Its the first option.

Step-by-step explanation:

120 is not a perfect square.

Its close to one though - 121 is a perfect square ( 11 * 11 = 121).

8 0

3 years ago

Factor completely 5x2 – 50x + 120

zaharov [31]

The answer is 5(x - 4)(x - 6)

5x² – 50x + 120 = 5*x² - 5*10x + 5*24
= 5(x² - 10x + 24)
= 5(x * x - 4x - 6x + 6*4)
= 5(x(x - 4) - (6x - 6*4))
= 5((x(x - 4) - 6(x - 4))
= 5(x - 4)(x - 6)

5 0

3 years ago

Thank you in advance

aliya0001 [1]

4. The value f issue is the quantity of shares multiplied by the price of each share.

25,000 shares x $9.20 = $230,000.

The answer is b.$230,000

5. Total selling expense would be the commission plus all the fees.

Multiply the value of issue by the commission percentage and then add the other costs.

230,000 x 0.065 = 14,950

14,950 + 1,985 = $16,935

The answer is a. $16,935

6. Divide the total selling expense by the number of shares:

750,000 / 900,000 = 0.83

The answer is d. $0.83

8 0

4 years ago