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balu736 [363]
3 years ago
5

I NEED HELP !!!! PLEASEEEEEEEEEEEE

Mathematics
1 answer:
tankabanditka [31]3 years ago
4 0
Vertex form: y = (x + 1)^2 - 25
vertex: (-1, -25)
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Which shows the following expression after the negative exponents have been eliminated?
belka [17]

Answer:

The given expression  \frac{a^3}{ab^{-4}} after the negative exponents have been eliminated becomes \frac{a^3b^{4}}{ab^{2}}

Step-by-step explanation:

Given expression \frac{a^3b^{-2}}{ab^{-4}}

We have to write expression after the negative exponents have been eliminated and  a ≠ 0 and b ≠ 0.

Consider the given expression \frac{a^3b^{-2}}{ab^{-4}}  

We have to eliminate the negative exponents,

Using  property of exponents, x^{-m}=\frac{1}{x^m}  we have ,

b^{-2}=\frac{1}{b^2} \\\\b^{-4}=\frac{1}{b^4}

Substitute, we get,

\frac{a^3}{ab^{-4}} becomes  \frac{a^3b^{4}}{ab^{2}}

Thus, the given expression  \frac{a^3}{ab^{-4}} after the negative exponents have been eliminated becomes \frac{a^3b^{4}}{ab^{2}}

5 0
3 years ago
Read 2 more answers
The DiMonte Corporation invented a new type of sunglass lens. Their variable expenses are $12.66 per unit, and their fixed expen
Sladkaya [172]

Answer:

a)one lens: 111,212.66

15000 lenses: 301,100

b)y=111,200+12.66x

slope: 12.66

c)12.66 dollars per unit of lens produced

d) 20.07

e) 19.2

f)decreases

Step-by-step explanation:

a) Cost of producing one lens

fixed expenses+variable expenses=111,200+12.66=111,212.66

Cost of producing 15,000 lenses

fixed expenses+variable expenses=111,200+12.66(15,000)=301,100

b)Expense function:

let y be the expense cost

let x be the number of lenses produced

y=111,200+12.66x

Slope:

The function is  a line equation: y=mx+b where m is the slope.

In this case b=111,200 and m=12.66. So the slope is 12.66

c) the cost increases 12.66 dollars per unit of lens produced

d) The cost of producing 15000 lenses is:

111,200+12.66(15,000)=301,100

If DiMonte produces 15000 lenses, the average cost per lens is:

301,100/15000=20.073≈20.07

e)The cost of producing 17000 lenses is:

111,200+12.66(17,000)=326,420

If DiMonte produces 17000 lenses, the average cost per lens is:

326,420/17,000=19.2

f)The average per lens decrease.

8 0
3 years ago
Suppose a population has a mean of 7 for some characteristic of interest and a standard deviation of 9.6. A sample is drawn from
valkas [14]

Answer:  A. 1.2

Step-by-step explanation:

Given : Sample size : n= 64

Standard deviation: \sigma=9.6

The formula to find the standard error of mean is given by :-

S.E.=\dfrac{\sigma}{\sqrt{n}}\\\\\Rightarrow\ S.E.=\dfrac{9.6}{\sqrt{64}}\\\\\Rightarrow\ S.E.=\dfrac{9.6}{8}=1.2

Therefore, the standard error of the​ mean= 1.2

Hence, A is the right option.

7 0
3 years ago
The relationship between the number of cups of flour, f , and the number of cups of milk, m , used in a cake recipe can be model
qwelly [4]

Answer:

f = (1/2)(m), for m = 1

f = (1/2)(1)

Step-by-step explanation:

7 0
3 years ago
3/8 rounded to the nearest thousand​
ioda

19/50

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5 0
2 years ago
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