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2 years ago

Suppose that the functions and s are defined for all real numbers x as follows.

Mathematics

1 answer:

abruzzese [7]2 years ago

7 0

(r*s) = (x+1)(3x+4) = 3x² + 3x + 4x + 4 = 3x² + 7x + 4

(r-s)(x) = x+1 - (3x+4) = x + 1 - 3x - 4 = -2x - 3

(r+s)(x) = x + 1 + 3x + 4 = 4x + 5

(r + s)(2) = 4(2) + 5 = 8 + 5 = 13

<h3>What is algebraic expression?</h3>

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11

to learn more about algebraic expression refer to:

brainly.com/question/4344214

#SPJ9

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The spinner shown is divided into congruent sections that are labeled from 1 through 7. If the spinner is spun one time, what is

adoni [48]

Answer:

3/7

Step-by-step explanation:

The number of possible results are;

1, 2 , 3 , 4 , 5, 6 , 7 = 7

odd numbers here are;

1, 3 , 5 and 7

non-odd numbers are 2, 4 and 6

So the section not labeled with an odd number is 3

Hence the probability here is that;

3/7

4 0

3 years ago

Read 2 more answers

Please help me with finding both area and perimeter of the shape.

VladimirAG [237]

Perimeter=106ft
Area=448ft^2

Make sure you remember to subtract various values to find the length of missing sides.

6 0

3 years ago

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia

gtnhenbr [62]

Answer:

$n=(\frac{2.58(58.2)}{1})^2 =22546.82 \approx 22547$

So the answer for this case would be n=22547 rounded up to the nearest integer

Step-by-step explanation:

Let's define some notation

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=58.2$ represent the population standard deviation

n represent the sample size

$ME =1$ represent the margin of error desire

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =+1 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance would be $\alpha=0.01$ and the critical value $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(58.2)}{1})^2 =22546.82 \approx 22547$

So the answer for this case would be n=22547 rounded up to the nearest integer

3 0

3 years ago

Please help me with these questions. Thank you.

Bas_tet [7]

Answer:

36 x⁸y⁶

√2/2

Step-by-step explanation:

Factor 1296 into its prime factors

1296 = 24 • 34

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

1296 = 24 • 34

No factors remain inside the root !!

To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

36 = 22 • 32

At the end of this step the partly simplified SQRT looks like this:

36 √(x¹⁶y¹²)

STEP2:Simplify the Variable part of the SQRT

Rules for simplifing variables which may be raised to a power:

(1) variables with no exponent stay inside the radical

(2) variables raised to power 1 or (-1) stay inside the radical

(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

√(x⁸)=x⁴

√(x^-6)=x^-3

Applying these rules to our case we find out that

SQRT(x¹⁶y¹²) = x⁸y⁶

Combine both simplifications

sqrt (1296x¹⁶y¹²) = 36 x⁸y⁶

Simplified Root : 36 x⁸y⁶

number 2)

3√2/3√4=

=3√2/3×2

=3√2/6

=3√2/6 ×3/3

=1√2/2

=√2/2

3 0

1 year ago

Ms. Howard buys a car for $500 and adds a music system that costs $200. Then she adds a set of seat covers for the price shown.

maxonik [38]

Answer:

$750 that is the answer if you add them all up

4 0

2 years ago