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3 years ago

Which number in the monomial 125x^18 y^3 z^25 need to be changed to make it a perfect cube

Mathematics

1 answer:

Serhud [2]3 years ago

6 0

The power of 25 on the variable z needs to be changed. It has to be divisible by 3.

You might be interested in

What is 43 tens x 3 tens???

Veronika [31]

43 tens = 43 x 10 = 430

3 tens = 3 x 10 = 30

Multiply the two numbers together

430 x 30 = 12900

12900 is your answer

hope this helps

5 0

3 years ago

Zoe is collecting books to donate. She started with 3 books and collects two more each week. She is using the equation b = 2w +

malfutka [58]

Answer:

Independent variable: b - books

Dependent variable: w - weeks

graph attached

Step-by-step explanation:

b = 2w + 3

b = total number of books collected

w = is the number of weeks

So, the number of books depend on the number of weeks, so

Independent variable: b - books

Dependent variable: w - weeks

7 0

3 years ago

PLEASE HELP ASAP

Crank

Option D: $f(x)=-2(x+2)(x-4)$ is the function

Explanation:

Let the general form of quadratic equation be $y=a x^{2}+b x+c$

The function passes through the intercepts $(-2,0)$ and $(4,0)$ and also passes though the point $(-1,10)$

Substituting the points $(-2,0)$ , $(4,0)$ and $(-1,10)$ in the equation $y=a x^{2}+b x+c$ , we get,

$4a -2b+c=0$ -----------(1)

$16a +4b+c=0$ ----------(2)

$a-b+c=10$ -----------(3)

Subtracting (1) and (2), we get,

$\ \ 4a -2b+c=0\\ 16a +4b+c=0\\\---------\\ \ \ -12a-6b=0$ -----------(4)

Subtracting (2) and (3), we get,

$16a +4b+c=0\\\ \ a \ \ - \ \ b \ +c=10\\---------\\15a+5b=-10$ ------------(5)

Multiplying equation (4) by 5 and equation (5) by 4, to cancel the term b when adding, we get,

$-60a-30b=0\\\ 90a+30b=-60\\--------\\30a=-60\\\ \ a=-2$

Thus, the value of a is $a=-2$

Substituting $a=-2$ in equation (4), we get,

$\begin{aligned}-12 a+6 b &=0 \\-12(-2)-6 b &=0 \\ 24-6 b &=0 \\ 24 &=6 b \\ 4 &=b \end{aligned}$

Thus, the value of b is $b=4$

Now, substituting the value of a and b in equation (1), we have,

$\begin{aligned} 4 a-2 b+c &=0 \\ 4(-2)-2(4)+c &=0 \\-8-8+c &=0 \\ c &=16 \end{aligned}$

Thus, the value of c is $c=16$

Now, substituting the value of a,b and c in the general formula $y=a x^{2}+b x+c$ , we get,

$y=-2x^{2} +4x+16$

Taking out the common term as -2 we get,

$y=-2(x^{2} -2x-8)$

Factoring , we get,

$y=-2(x+2)(x-4)$

Thus, the function is $f(x)=-2(x+2)(x-4)$

7 0

3 years ago

A home security company plans to open a calling center to respond to customer calls and

Romashka-Z-Leto [24]

Answer:

$x+y\geqslant 12$

$x+2y\leqslant 20$

Step-by-step explanation:

<u>Inequalities </u>

The home security company will choose between two options for cubicles: the small cubicle for only one operator and the large cubicle to hold 2 operators. Let x be the number of small cubicles and y the number of large cubicles. Since each small cubicle has 49 square feet, the total area occupied by them will be 49x. Each large cubicle occupies 80 square feet, so the y cubicles use 80y square feet. The total area used by them is

Area=49x+80y

Assuming there is no operator without cubicle and all cubicles are fully occupied, the number of operators will be

Operators=1x+2y=x+2y

The number of cubicles is

# cubicles=x+y

The conditions of the problem state that

$x+y\geqslant 12$

$x+2y\leqslant 20$

7 0

4 years ago

What is the end behavior of the graph of the polynomial function f(x)=3x^6+30x^5+75x^4

coldgirl [10]

Answer:

Step-by-step explanation:

8 0

3 years ago

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