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Ivan
3 years ago
13

If f(x)=5x-7 what is f(3)

Mathematics
2 answers:
Anarel [89]3 years ago
7 0

Answer:

f(3) = 8

Step-by-step explanation:

f(x) = 5x - 7

Put x as 3 and evaluate.

f(3) = 5(3) - 7

f(3) = 15 - 7

f(3) = 8

saul85 [17]3 years ago
7 0

Answer: 8

Step-by-step explanation:

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What does 8.4 10^5-7.7 10^4 equal?
Alex

Answer:

\huge\boxed{763,000=7.63\cdot10^5}

Step-by-step explanation:

\bold{METHOD\ 1:}\\\\8.4\cdot10^5-7.7\cdot10^4=8.4\cdot100,000-7.7\cdot10,000\\\\=840,000-77,000=763,000\\\\\bold{METHOD\ 2:}\\\\8.4\cdot10^5-7.7\cdot10^4=8.4\cdot10^{1+4}-7.7\cdot10^4\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=8.4\cdot10^1\cdot10^4-7.7\cdot10^4=84\cdot10^4-7.7\cdot10^4\\\\\text{use the distributive property}:\qquad a(b+c)=ab+ac\\\\=(84-7.7)\cdot10^4=76.3\cdot10^4=7\underbrace{.63}_{\leftarrow1}\cdot10^{4+1}=7.63\cdot10^5

5 0
3 years ago
Make a the subject of the formula x²=a²-a²w²​
Gwar [14]

Answer:

a = ± \sqrt{\frac{x^2}{1-w} }

Step-by-step explanation:

Given

x² = a² - a²w ← factor out a² from each term on the right side

x² = a²(1 - w) ← divide both sides by (1 - w)

\frac{x^2}{1-w} = a² ( take the square root of both sides )

± \sqrt{\frac{x^2}{1-w} } = a

3 0
3 years ago
olice response time to an emergency call is the difference between the time the call is first received by the dispatcher and the
yan [13]

Answer:

0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 7.2 minutes and a standard deviation of 2.1 minutes.

This means that \mu = 7.2, \sigma = 2.1

For a randomly received emergency call, find the probability that the response time is between 3 and 9 minutes.

This is the pvalue of Z when X = 9 subtracted by the pvalue of Z when X = 3.

X = 9

Z = \frac{X - \mu}{\sigma}

Z = \frac{9 - 7.2}{2.1}

Z = 0.86

Z = 0.86 has a pvalue of 0.8051

X = 3

Z = \frac{X - \mu}{\sigma}

Z = \frac{3 - 7.2}{2.1}

Z = -2

Z = -2 has a pvalue of 0.0228

0.8051 - 0.0228 = 0.7823

0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.

4 0
3 years ago
Select all that apply.
trapecia [35]

It is everyone of those except for (-6, 3).

Step-by-step explanation:

4 / 6 = 2/3

2/3 x -9 = -6

2/3 x -12 = -8

2/3 x 3 = 2

2/3 x -6 = -4

4 0
3 years ago
Three equivalent ratios for 9/7 15/18 21/28
Step2247 [10]
18/14, 5/6, and 3/4 would work.
3 0
4 years ago
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