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3 years ago

Twice the difference of three less than a number.

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

3 0

Answer:

the answer would be 2(3-x)

Step-by-step explanation:

x would be the number that is given and since it says twice than 2 would be outside the parenthesis since the main equation would be inside the parenthesis

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NEED THIS QUICK Karen earns $28,000 per year as a fashion consultant. She has personal exemptions that total $2,100. Use the tab

Lostsunrise [7]

Answer:

$1,210

Step-by-step explanation:

$28,000 - $2,100 = $25,900

$25,900 - $5,000 = $20,900

1.5% × $1,000 = $15

3% × $2,000 = $60

4.5% × $2,000 = $90

5% × $20,900 = $1,045

$15 + $60 + $90 + $1,045 = $1,210

8 0

2 years ago

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 3x2 − 2x + 1, [0, 2] Yes, it do

expeople1 [14]

Answer:

Yes , function is continuous in [0,2] and is differentiable (0,2) since polynomial function are continuous and differentiable

Step-by-step explanation:

We are given the Function

f(x) = $3x^2 -2x +1$

The two basic hypothesis of the mean valued theorem are

The function should be continuous in [0,2]

The function should be differentiable in (1,2)

upon checking the condition stated above on the given function

f(x) is continuous in the interval [0,2] as the functions is quadratic and we can conclude that from its graph

also the f(x) is differentiable in (0,2)

f'(x) = 6x - 2

Now the function satisfies both the conditions

so applying MVT

6x-2 = f(2) - f(0) / 2-0

6x-2 = 9 - 1 /2

6x-2 = 4

6x=6

x=1

so this is the tangent line for this given function.

4 0

2 years ago

160% of what number is 144

givi [52]

Step-by-step explanation:

Let the number be x

160% of x=144

$160x \div 100 = 144$

then we cross multiply

$160x = 100 \times 144$

$160x = 14400$

divide both sides by 160

$160x \div 160 = 14400 \div 160$

$x = 90$

therefore the number is 90

6 0

2 years ago

Logic You find that the product of 93 and 6 is 558. He can you use addition to check your answer ? How can you use division yo c

frozen [14]

Addition: 93 can be added six times to determine the total

and division can be used to check your answer since it's the inverse operation of multiplication...take your solution of 558 and divide it by 6 (or 93) to see if 93 times six equals 558

3 0

3 years ago

You are told that a 95% confidence interval for a population proportion is (0.3775, 0.6225) What was the sample proportion that

Maru [420]

The mean of the confidence interval is (0.3775 + 0.6225) / 2 = 0.5. Therefore, the standard deviation of the proportion would have been sqrt[0.5*(1 - 0.5) / n], where n is the sample size. This expression simplifies to sqrt(0.25/n).

A 95% CI has a corresponding z = 1.96, so since the distance from 0.5 to 0.3775 (or 0.6225 to 0.5) is equal to 0.1225. Therefore, if we divide 0.1225 / 1.96 = 0.0625, we get the value of the SD, and this should be equal to sqrt(0.25/n).

0.0625 = sqrt(0.25/n)
n = 64
This means that the proportion was 0.5 and the sample size was 64.

6 0

3 years ago