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3 years ago

(PLEASE HELP 30 POINTS)

Mathematics

1 answer:

devlian [24]3 years ago

6 0

Answer:

It is f(x + 4) + 2. I just took the test and that was the answer.

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You borrow bookcases like the one shown to display 943 books at a book sale. You plan to put 22 books on each shelf. No books wi

NeX [460]

Answer 110 books

Step-by-step explanation: 22X5=110

4 0

3 years ago

Find possible zeroes<br> f(x)=3x^6+4x^3-2x^2+4

larisa [96]

The possible zeros of f(x) = 3x^6 + 4x^3 -2x^2 + 4 are $\mathbf{\pm\{1,2,4,\frac 13, \frac 23,\frac{4}{3}}\}$

<h3>How to determine the possible zeros?</h3>

The function is given as:

f(x) = 3x^6 + 4x^3 -2x^2 + 4

The leading coefficient of the function is:

p = 3

The constant term is

q = 4

Take the factors of the above terms

p = 1 and 3

q = 1, 2 and 4

The possible zeros are then calculated as:

$\mathbf{Zeros = \pm\frac{Factors\ of\ q}{Factors\ of\ p}}$

So, we have:

$\mathbf{Zeros = \pm\frac{1,2,4}{1,3}}$

Expand

$\mathbf{Zeros = \pm\frac{1,2,4}{1},\pm\frac{1,2,4}{3}}$

Solve

$\mathbf{Zeros = \pm\{1,2,4,\frac 13, \frac 23,\frac{4}{3}}\}$

Hence, the possible zeros of f(x) = 3x^6 + 4x^3 -2x^2 + 4 are $\mathbf{\pm\{1,2,4,\frac 13, \frac 23,\frac{4}{3}}\}$

Read more about rational root theorem at:

brainly.com/question/9353378

#SPJ1

7 0

2 years ago

Last week, Sarah had exams in Math, Spanish, and English. On the Math exam, the mean was µ = 30 with s = 5, and Sarah had a scor

serious [3.7K]

Answer:

Sara expect the better grade for Math class.

Step-by-step explanation:

Consider the provided information.

On the Math exam, the mean was µ = 30 with s = 5, and Sarah had a score of X = 45.

Z score for Math: $Z=\frac{x-\mu}{s}$

$Z=\frac{45-30}{5}$

$Z=\frac{15}{5}$

$Z=3$

On the Spanish exam, the mean was µ = 60 with s = 8 and Sarah had a score of X = 68.

Z score for Spanish: $Z=\frac{x-\mu}{s}$

$Z=\frac{68-60}{8}$

$Z=\frac{8}{8}$

$Z=1$

On the English exam, the mean was µ = 70 with s = 8 and Sarah had a score of X = 70.

Z score for English: $Z=\frac{x-\mu}{s}$

$Z=\frac{70-70}{8}$

$Z=0$

We can observe that Z score of Math is greater than Spanish and English.

Which means that Sarah did the best in her Math exam.

Hence, Sara expect the better grade for Math class.

8 0

4 years ago

Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.

SashulF [63]

<u>ANSWER</u>

${r}^{2} = 4 \cos2\theta$

<u>EXPLANATION</u>

The Cartesian equation is

${( {x}^{2} + {y}^{2} )}^{2} = 4( {x}^{2} - {y}^{2} )$

We substitute

$x = r \cos( \theta)$

$y = r \sin( \theta)$

and

${x}^{2} + {y}^{2} = {r}^{2}$

This implies that

${( {r}^{2} )}^{2} = 4(( { r \cos\theta) }^{2} - {(r \sin\theta) }^{2} )$

Let us evaluate the exponents to get:

${r}^{4} = 4({ {r}^{2} \cos^{2}\theta } - {r}^{2} \sin^{2}\theta)$

Factor the RHS to get:

${r}^{4} = 4{r}^{2} ({ \cos^{2}\theta } - \sin^{2}\theta)$

Divide through by r²

${r}^{2} = 4 ({ \cos^{2}\theta } - \sin^{2}\theta)$

Apply the double angle identity

$\cos^{2}\theta -\sin^{2}\theta= \cos(2 \theta)$

The polar equation then becomes:

${r}^{2} = 4 \cos2\theta$

7 0

3 years ago

Regular pentagon<br><br> sides 3.3 cm long

OleMash [197]

3.3 x 5 = 16.5 cm
Happy to Help!

7 0

3 years ago