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2 years ago

If f(n) = 3n+ 5 , find f(-3). soln, 3n+ 5

Mathematics

2 answers:

CaHeK987 [17]2 years ago

7 0

Hope it helps! If it is, Brainliest please!

Amanda [17]2 years ago

4 0

Answer: f(-3) = -4

Concept:

Here, we need to understand the idea of evaluation.

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given expression

f(n) = 3n + 5

Substitute values into the expression

f(-3) = 3(-3) + 5

Simplify by multiplication

f(-3) = -9 + 5

Simplify by addition

f(-3) = $\boxed{-4}$

Hope this helps!! :)

Please let me know if you have any questions

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finlep [7]

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8 0

2 years ago

Question is attached!

saul85 [17]

Answer:

$3,000 was invested in the account that gained 13%

$17,500 was invested in the account that lost 10%

Step-by-step explanation:

Let the amount in both accounts be x and y

x for the first and y for the second

Adding both is 20,500

x + y = 20,500 •••••(i)

First account earned 13% profit

= 13/100 * x = 0.13x

Second account, a loss of 10%

= -10/100 * y = -0.1y

Total loss of -1,360

This is;

-0.1y + 0.13x = -1,360 •••••••(ii)

From i, x = 20,500-y

Insert this into ii

-0.1y + 0.13(20,500-y) = -1,360

-0.1y + 2665 -0.13y = -1360

-0.23y = -1360-2665

-0.23y = -4025

y = -4025/-0.23

y = 17,500

To get x, we have

x = 20,500 -y

x = 20,500- 17,500

x = 3,000

3 0

2 years ago

in 2018 GRE scores were normally distributed with a mean of 303, and standard deviation of 13. Standford University Graduate sch

eduard

Answer:

The minimum score needed to be considered for admission to Stanfords graduate school is 328.48.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 303, \sigma = 13$