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Alenkasestr [34]
3 years ago
15

Choose the correct simplification of the expression (x^2y)^2

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
3 0

The simplified answer to this expression would be x^{4} y^{2}

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I need help with 64 and 65
Tcecarenko [31]

Answer:

65 would be C

Step-by-step explanation:

it wants you to find out how much was spent after 11 visits. 10 dollars is used each time so 11 times 10 is 110. 306 minus 110 equals 196. you would choose C instead of B because the 10 is the one being multiplied, not 306.

306-10x; $196

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4 years ago
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Answer:

B

Step-by-step explanation:

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4 0
3 years ago
Show work and Factor 4x^2+xy-18y^2
grigory [225]

Answer:

4x^2+xy-18y^2=(4x+9y)\,(x-2y)

Step-by-step explanation:

Let's examine the following general product of two binomials with variables x and y in different terms:

(ax+by)\,(cx+dy)= ac\,x^2+adxy+bcxy+bdy^2

so we want the following to happen:

a\,c = 4\\ad+bc=1\\bd--18

Notice as well that ad+bc =1 means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product bd=-18, then we can consider the case in which one of this  (b or d) is the negative factor. So let's then assume that a\,\,and \,\,c are positive.

We can then try combinations for  a\,\,and \,\,c  such as:

a = 4;\,\,c=1\\a=2;\,\,c=2\\a=1;\,\,c=4

Just by selecting the first one (a=4;\,\,c=1)

we get that 4d_b=1\\b=-4d-1

and since

bd=-18\\(-4d-1)\,d=-18\\-4d^2-d=-18\\4d^2+d-18=0

This quadratic equation give as one of its solutions the integer: d = -2, and consequently,

d=-18/(-2)\\d=9

Now we have a good combination of parameters to render the factoring form of the original trinomial:

a=4; \,\,b=9;\,\,c=1;\,\,d=-2

which makes our factorization:

(4x+9y)\,(x-2y)=4x^2+xy-18y^2

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3 years ago
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padilas [110]
2 to the 30 power is <span>1073741824</span>
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3 years ago
X3 − 6x2 − 7x + 60 = 0
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An equation ........
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