Given that f(x)=x+3 and g(x) = x^2 - x, find (f+g)(4)

Answers

Answer 1

Answer:

The answer is 19

Check out the attached images for the steps. They are slightly different approaches that lead to the same answer.

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Select all the true statements.- 1.9 is to the left of -1.48.-1.9 is to the right of -1.48.1.9 is closer to 0.-1.48 is closer to 0.-1.48 is less than – 1.9.-1.48 is greater than -1.9.

Let point L be between M and N on MN. Given that MN=31, ML= h-15 and LN = 2h-8. Find LN

Answers

Since point L is merely found on the line MN, ML and LN are considered to be line segments. So adding both line segments should add up to line MN's total length which is 31 units. We can use the given relations to create a mathematical equation as follows:

Given: MN = 31; ML = h - 15; LN = 2h - 8

MN = ML + LN

Substituting the given values:
31 = h - 15 + 2h - 8
31 = 3h - 23

It is necessary to solve for the value of h. To do this, we must isolate h and solve for it:

Adding 23 to both sides of the equation:
31 + 23 = 3h - 23 + 23
54 = 3h
h = 18

Substituting the value of h to the equation of LN we get the following:
LN = 2(18) - 8
LN = 36 - 8
LN = 28

Therefore the value of LN is 28.

Factor the following expression, and verify that the factored expression is equivalent to the original: 4x^2-9a^6

Answers

Answer:

(2x - 3a³) ,(2x + 3a³)

Step-by-step explanation:

Given that

4x^2-9a^6

As we know that

x² - y² = ( x+y)(x-y)

4x^2-9a^6 = (2x)² - (3a³)²

By using the above formula

x² - y² = ( x+y)(x-y)

4x^2-9a^6 = (2x)² - (3a³)²

4x^2-9a^6 = (2x - 3a³) (2x + 3a³)

So the factor is (2x - 3a³) ,(2x + 3a³)

To verify

Multiple both factors

(2x - 3a³) (2x + 3a³) = 2x .2x -2x . 3a³ + 3a³ . 2x - 3a³. 3a³

=4x² - 9 a ⁶

Put these numbers in order from least to greatest 11, 7, 8, 3, 6, three, 16, 10, 16

Answers

3, three, 6, 7, 8,10,16,16

3 , 3 , 6 , 7 , 8 , 10 , 11 , 16 , 16

hope this helps you

Recall the symbol Z represents the complex conjugate of z. If z=a+bi and w=c+di show that the statement is true zw=z*w

Answers

z = a + bi
w = c + di

zw = (a + bi)(c + di)
zw = a(c + di) + bi(c + di)
zw = a(c) + a(di) + bi(c) + bi(di)
zw = ac + adi + bci + bdi²
zw = ac + adi + bci + bd(-1)
zw = ac + adi + bci - bd

use the commutative property to solve for n. 55,207+87,331=87,331+n= dont understand, please help

Answers

n equals 55,207 its like a repeat

Final answer:

The commutative property allows us to rearrange the terms within an addition operation without affecting the result. In this case, we use it to solve for 'n' in the equation, resulting in n=55,207.

Explanation:

The student is asked to use the commutative property of addition, which simply states that the order in which numbers are added does not affect the sum. Therefore, if we have the equation 55,207 + 87,331 = 87,331 + n, using the commutative property, we can rearrange the terms of the equation to solve for 'n'.

So, if we rewrite 55,207 + 87,331 = 87,331 + n as 55,207 = n (by subtracting 87,331 from each side), we get the value of n. Therefore, n = 55,207.