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2 years ago

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One month Dale rented 5 movies and 3 video games for a total of $22. The next month he rented 2 movies and 6 video games for a t

otal of $34. Find the rental cost for each movie and each video game.

1 answer:

oksian1 [2.3K]2 years ago

3 0

Answer:

give me my mf points

Step-by-step explanation:

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Solve |p + 2| = 10Solve |p + 2| = 10<br><br> {-12}<br> {-8, 8}<br> {-12, 8}

valentinak56 [21]

By definition, we have

$|p+2| = \begin{cases} p+2 &\text{ if } p+2 \geq 0 \\-p-2 &\text{ if } p+2 < 0 \end{cases}$

So, we have to solve two different equations, depending of the possible range for the variable. We have to remember about these ranges when we decide to accept or discard the solutions:

Suppose that $p+2\geq 0 \iff p \geq -2$

In this case, the absolute value doesn't do anything: the equation is

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Now, suppose that $p+2 < 0 \iff p < -2$ . Now the sign of the expression is flipped by the absolute value, and the equation becomes

$-p-2 = 10 \iff -p = 12 \iff p = -12$

Again, the solution is coherent with the assumption, so we can accept this value as well.

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3 years ago

What are the angles of rotational symmetry?

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A figure has rotational symmetry if it can be rotated by an angle between 0° and 360° so that the image coincides with the preimage.

Step-by-step explanation:

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3 years ago

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factor completely 4x5 − 20x4 − 36x3. 4(x5 − 5x4 − 9x3) x3(4x2 − 20x − 36) x2 − 5x − 9 4x3(x2 − 5x − 9)

Mila [183]

Consider the polynomial $4x^5 - 20x^4 - 36x^3.$ It has three terms and their greatest common factor is $4x^3.$

Since

$4x^5=4x^3\cdot x^2,\\20x^4=4x^3\cdot 5x,\\36x^3=4x^3\cdot 9,$

then

$4x^5 - 20x^4 - 36x^3=4x^3(x^2-5x-9)$ (you write in brackets the same sign as the corresponding term has).

Answer: correct choice is D.

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3 years ago

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Which equation would you use to find the distance between point A and point H?

andreev551 [17]

B -4-1 because the one is positive and the 4 is negative

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2 years ago

An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to con

natta225 [31]

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

$L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\$

The construction cost now is:

$C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}$

Now, to determine the minimum cost:

$\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}$

$w = \dfrac{88}{3(3)}^{1/3} \ feet$

Now;

$length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet$

$height = ( 88})^{1/3} (3)^{1/3} \ feet$

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3 years ago