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Feliz [49]
3 years ago
13

Simplify (4x– 4)– 3 A. -1/2x^4 B. -8x^12 C. -64x^9 D. x^12/64

Mathematics
2 answers:
V125BC [204]3 years ago
8 0

X12/64A is the right answer

marysya [2.9K]3 years ago
3 0
Use:(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}\\\\a^{-n}=\dfrac{1}{a^n}\\\\\left(4x^{-4}\right)^{-3}=4^{-3}(x^{-4})^{-3}=\dfrac{1}{4^3}x^{-4\cdot(-3)}\\\\=\dfrac{1}{64}x^{12}=\boxed{\frac{x^{12}}{64}}

Answer: D. x^12/64
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Jed is baking shortbread for a bake sale. The recipe calls for 1 1 4cups of flour and 1 2stick of butter. How many cups of flour
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Answer: 7\dfrac12 cups of flour is required for 3 sticks of butter.

Step-by-step explanation:

We assume that quantity of flour is proportional to butter.

Given : The recipe calls of 1\dfrac14 cups of  flour  and \dfrac12 stick of butter.

Let x_1=1\dfrac14=\dfrac{5}{4}      y_1=\dfrac{1}{2}

For y_2=3 , we will find x_2 by using formula of direct proportion: \dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}

\dfrac{\dfrac{5}{4}}{\dfrac12}=\dfrac{x_3}{3}\\\\\Rightarrow\ \dfrac{5}{2}=\dfrac{x_3}{3}\\\\\Rightarrow\ x_3=\dfrac{5}{2}\times3= \dfrac{15}2=7\dfrac12

Hence, 7\dfrac12 cups of flour is required for 3 sticks of butter.

8 0
3 years ago
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Steps to answer -3(x+4)+15=6-4x
Mariana [72]
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