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3 years ago

ALGEBRA 1, SEM. 2; please help!

Mathematics

1 answer:

tatyana61 [14]3 years ago

3 0

The area increased by 14 m^2.

Hence, the actual area is lesser by 14 m^2 so, it is x^2+9x+14 - 14

That is, x^2+9x m^2

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Find f such that f'(x) = 5x² + 9x - 7 and f(0) = 8.

faltersainse [42]

Answer:

$\frac{5}{3}x^3+\frac{9}{2}x^2-7x+8\\$

Step-by-step explanation:

Integrate your function with respect to x to get the non-differentiated form.

$\int(5x^2+9x-7)dx=\frac{5}{3}x^3+\frac{9}{2}x^2-7x+c\\$

Plug in your known value of x to get your value for your constant

$f(0) = 8\\ \frac{5}{3}(0^3)+\frac{9}{2}(0^2)-7(0)+c = 8 \\c=8$

This gives you your function to be

$\frac{5}{3}x^3+\frac{9}{2}x^2-7x+8\\$

6 0

3 years ago

Question 3

mrs_skeptik [129]

Answer:

$960

Step-by-step explanation:

Let the original amount be = x

Percentage increase is equal to = 12.5%

final amount = original amount + increase

final amount = x + 0.125x

final amount = 1.125x

final amount = 1080 = 1.125x

and then solve for x

$x = \frac{1080}{1.125} \\ \\ x = 960$

so in the end x is equal to $960

Solve the equation: 1080 = 1.25x

6 0

3 years ago

If 4 units equal 12 inches, what is the value of 1 unit

ser-zykov [4K]

Answer:

1 unit = 3 inches

Step-by-step explanation:

We are given that 4 units = 12 inches.

This can be rewritten as 4x = 12

Then to solve for x, you divide 4 on both sides

so x = 12/4

x = 3

Let me know if you have any questions

3 0

3 years ago

Read 2 more answers

For normal distribution with mean = 50 and standard deviation = 10 find x-value for z-score=1.5

natita [175]

The appropriate formula is

... z = (x - μ)/σ

Solving for x gives

... x = μ + z·σ

Substituting the given values lets you find x:

... x = 50 + 1.5·10

... x = 65

6 0

3 years ago

The head of the Westlane Cultural Center wants to get a sense of how quickly pledges from donors arrive at the center. It takes

Rzqust [24]

Answer:

95.64% probability that pledges are received within 40 days

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:

$\mu = 28, \sigma = 7$

What is the probability that pledges are received within 40 days

This is the pvalue of Z when X = 40. So

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

$Z = \frac{40 - 28}{7}$

$Z = 1.71$

$Z = 1.71$ has a pvalue of 0.9564

95.64% probability that pledges are received within 40 days

7 0

4 years ago