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azamat
3 years ago
7

If f(x)=2x^2-1 and g(x)= -5x , write a function rule representing the result of each function operation.

Mathematics
1 answer:
MaRussiya [10]3 years ago
7 0
A.) (fg)(x) = (2x^2 - 1)(<span>-5x) = -10x^3 + 5x

</span>b.) (g of f)(x) = g(f(x)) = -5(<span>2x^2 - 1) = -10x^2 + 5</span>
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Justin has $7.50 more than Eva, and Emma has $12 less than Justin. Together, they have a total of $63.00. How much money does ea
uysha [10]

Answer:


Step-by-step explanation:   emma's amount be X .  justin has $7.50+x because he has $7.50 more than emma.Since emma has 7.50+x-$12.to get everyones amount add what they have together which is=$7.50+x+$7.50+x-12 which in total is $63.00.after the calculations you get x=30.now distribute the x equally. so justin has $7.50+30=37.50.we also distribute it with emma's which is 7.50+30-12=25.5.

justin=$37.50

Emma=$25.50

to be sure add 37.50+25.50=$63


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Which expression is equivalent to (81x4y16)12 for all positive values of x and y?<br> 40.5x4y16
IrinaVladis [17]

Answer:

(81x^4y^{16})^{\frac{1}{2}} = 9 x^2 y^8

Step-by-step explanation:

Given

(81x^4y^{16})^{\frac{1}{2}}

Required

Determine an equivalent expression

Express 81 as 9^2

(9^2x^4y^{16})^{\frac{1}{2}}

Apply law of indices

9^2^{\frac{1}{2}} * x^4^{\frac{1}{2}} * y^{16}^{\frac{1}{2}}

9^{\frac{2*1}{2}} * x^{\frac{4*1}{2}} * y^{\frac{16*1}{2}}

9^{\frac{2}{2}} * x^{\frac{4}{2}} * y^{\frac{16}{2}}

9^1 * x^2 * y^8

9 * x^2 * y^8

9 x^2 y^8

Hence:

(81x^4y^{16})^{\frac{1}{2}} = 9 x^2 y^8

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balu736 [363]

Answer:

Step-by-step explanation:

3/5 = 0.6

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3 years ago
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