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Anarel [89]
2 years ago
15

Given functions f and g, find f-g.

Mathematics
1 answer:
Eva8 [605]2 years ago
5 0

Answer:

-5x-5

Step-by-step explanation:

original functions:

f(x)=3x-8\\g(x)=8x-3

Subtract the polynomials:

f(x)-g(x) = (3x-8) - (8x-3)

Distribute the negative sign:

3x-8-8x+3

Combine like terms:

(3x-8x)+(-8+3)

Add like terms:

-5x-5

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Factor the expression 100n squared - 1
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The dataset Restaurant Tips contains data recorded from 157 restaurant bills at a bistro in New York over a two week period and
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Answer: ($3.532, $4.166)

Step-by-step explanation:

Given : Significance level : \alpha: 1-0.90=0.10

Critical value : z_{\alpha/2}=1.645

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\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

\text{i.e. }\$\ 3.849\pm (1.64)\dfrac{2.421}{\sqrt{157}}\\\\\approx\$\ 3.849\pm0.317\\\\=(\$\ 3.849-0.317,\$\ 3.849+0.317)=(\$\ 3.532,\$\ 4.166)

Hence, the 0% confidence interval for the average tip given at this restaurant = ($3.532, $4.166)

5 0
3 years ago
A recipe for cookies calls for 23 of a cup of sugar per batch. Elena used cups of sugar to make multiple batches of cookies. How
Oxana [17]

Answer:

8

Step-by-step explanation:

Answer: 8 batches

Step-by-step explanation:

To get the number of batches she made, we can just use proportion to solve it. But first, we need to convert 5 1/3 to improper fraction

5 1/3 = 16/3

Then we can now use the proportion to solve

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cross multiply

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we need to make x the subject of the formula, to do that we will multiply each side of the equation by 3/2

2/3 × 3/2 x = 16/3 × 3/2

6x /6 = 48 / 6

x = 8

Therefore she made 8 batches of cookies.

6 0
3 years ago
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