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3 years ago

How Do I solve this I am quite confused

Mathematics

1 answer:

Kazeer [188]3 years ago

5 0

Answer:

$11,714

Step-by-step explanation:

C(x) = 0.7x² - 462x + 87,944

this is a quadratic equation that opens up

the vertex will be the minimum

From the quadratic formula the x coordinate of the vertex is

x = -b/2a

x = 462/(2 * 0.7)

x = 330

Plug in

c(330) = 0.7(330²) - 462(330) + 87,944

c(330) = 11,714

$11,714

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Give an example of a number that is not real

goldfiish [28.3K]

5i because it is a imaginary number.

8 0

3 years ago

Read 2 more answers

How do you factor these?

valina [46]

Hi there!

24. 6x² + 19x + 3
1 3 multiply 6 × 3 = 18
6 1 multiply 1 × 1 = 1
18 + 1 = 19
(x + 3)(6x + 1)

I just simply found the two factors of 6 and 3 that can add up to 19.
This way is useful when the a and c don't have much factors.

27. 5y² + 13y + 6
1 2 5 × 2 = 10
5 3 1 × 3 = 3
10 + 3 = 13
(x + 2)(5x + 3)

30. 16x² + 16x + 3
For this one, 16 has a lot of factors. So you can try "Grouping" method.
You multiply 16 and 3. 16 × 3 =48
Find the factors of 48 that can add up to 16.
Hmm.. 12 and 4 would be great.
Then rewrite the equation.

16x² + 12x + 4x + 3
We would factor 16x² + 12x and 4x + 3 separately.
16x² + 12x 4x + 3 can't be factored more.
4x(4x + 3) 1(4x + 3)
(4x + 1)(4x + 3)

So your answers are....
24. (x + 3)(6x + 1)

27. (x + 2)(5x + 3)

30. (4x + 1)(4x + 3)

Hope this helped!!

6 0

4 years ago

Find the solution to the system of the equations shown below: y = -4x + 11<br>y=1/2x+2

Sav [38]

Hello!

$\large\boxed{x = 2}$

Set the two equations equal to each other to solve:

y = -4x + 11

y = 1/2x + 2

-4x + 11 = 1/2x + 2

Add 4x to both sides:

-4x + 4x + 11 = 1/2x + 2 **Convert 4x into 8/2x***

11 = 9/2x + 2

Subtract 2 from both sides:

11 - 2 = 9/2x + 2 - 2

9 = 9/2x

Divide both sides by 9/2:

9 * (2/9) = 9/2x * (2/9)

x = 2.

3 0

3 years ago

a set of average city temperatures in december are normally distributed with a mean of 16.3°C and a standard deviation of 2°C. w

koban [17]

Answer:

19.74% of temperatures are between 12.9°C and 14.9°C

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 question, we have that:

$\mu = 16.3, \sigma = 2$

What proportion of temperatures are between 12.9°C and 14.9°C?

This is the pvalue of Z when X = 14.9 subtracted by the pvalue of Z when X = 12.9.

X = 14.9

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

$Z = \frac{14.9 - 16.3}{2}$

$Z = -0.7$

$Z = -0.7$ has a pvalue of 0.2420

X = 12.9

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

$Z = \frac{12.9 - 16.3}{2}$

$Z = -1.7$

$Z = -1.7$ has a pvalue of 0.0446

0.2420 - 0.0446 = 0.1974

19.74% of temperatures are between 12.9°C and 14.9°C

3 0

3 years ago

Your next math test is worth 111 points and contains 32 problems. Each problem is worth either 4 points or 3 points. How many 3

AysviL [449]

There are a total of 32 problems.

Assumed all 32 problems are 3 points questions ⇒ 32 x 3 = 96 points.

The test is worth 111 points, so there is an extra of 111-96 points = 15 points.

The difference in points in the 2 type of questions is 4 - 3 = 1 points.

Number of 4 points questions = 15 ÷ 1 = 15.

Number of 3 points questions = 32 - 15 = 17.

Answer: There are 17 3-points questions and 15 4-points questions.

6 0

3 years ago