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3 years ago

10

What happens to the volume of a rectangular prism when the length and width are double and the height is tripled

1 answer:

Andrei [34K]3 years ago

3 0

The volume goes up by a factor of 2 * 2 * 3 = 12 times.

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Two more than four times a number is the same as 6 more than twice the number find the number

Yuki888 [10]

Answer:

The number is 2. :)

Step-by-step explanation:

4x + 2 = 2x + 6

-2 -2

4x = 2x + 4

-2x -2x

2x = 4

/2 /2

x = 2

7 0

3 years ago

A superhero is trying to leap over a tall building. The function f(x)=-16x^2+200x gives the superhero's height in feet as a func

Gemiola [76]

Answer:

Since $\bigtriangleup \geq 0$ , the superhero makes it over the building.

Step-by-step explanation:

The height is given by the following function:

$f(x) = -16x^{2} + 200x$

Will the superhero make it over the building?

We have to find if there is values of x for which f(x) = 612.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

If $\bigtriangleup < 0$ , the polynomial has no solutions.

In this question:

$f(x) = -16x^{2} + 200x$

$-16x^{2} + 200x = 612$

$16x^{2} - 200x + 612 = 0$

We have to find $\bigtriangleup$

We have that $a = 16, b = -200, c = 612$ . So

$\bigtriangleup = (-200)^{2} - 4*16*612 = 832$

Since $\bigtriangleup \geq 0$ , the superhero makes it over the building.

7 0

3 years ago

Write the equation in vertex form of the parabola with the vertex (-4,-4) that goes through the point (-2,-16)

Brrunno [24]

Answer:

$- 3(x + 4) {}^{2} - 4$

Step-by-step explanation:

Vertex form is

$a(x - h) {}^{2} + k = f(x)$

We know that h and k are both -4. Let x be -2 and y be -16.

$a( - 2 + 4) {}^{2} - 4 = - 16$

$a(2) {}^{2} - 4 = - 16$

$4a - 4 = - 16$

$4a = - 12$

$a = - 3$

So the equation in vertex form is

$- 3(x + 4) {}^{2} - 4$

5 0

3 years ago

Dr. Strauss has a bottle that contains 18 ounces of medicine. How many one-fourth ounce doses are

Aneli [31]

Answer:72 IS THE ANSWER

Step-by-step explanation:

BRAINLIEST????? PLEASE

3 0

4 years ago

A super clearance sale, bathing suits were marked 85% off. What is the sale price of a bathing suit that was originally priced $

liraira [26]

Answer: 9$
Explanation: 15% is how much a person will pay and 15% of 60 is 9$

5 0

3 years ago