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Doss [256]
3 years ago
8

f f(x)=2x f ( x ) = 2 x and g(x)=x2+3 g ( x ) = x 2 + 3 , find (g ∘ f)(x) ( g ∘ f ) ( x ) . Question 2 options: 2x2+3 2 x 2 + 3

2x2+6 2 x 2 + 6 x2+2x+3 x 2 + 2 x + 3 4x2+3
Mathematics
1 answer:
Deffense [45]3 years ago
6 0

Answer:

im confused. what math structure is this

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Use properties of exponents to rewrite the following expressions as a number or an exponential expression with
Lerok [7]

Answer:

[(2)^√3]^√3 = 8

Step-by-step explanation:

Hi there!

Let´s write the expression:

[(2)^√3]^√3

Now, let´s write the square roots as fractional exponents (√3 = 3^1/2):

[(2)^(3^1/2)]^(3^1/2)

Let´s apply the following exponents property: (xᵃ)ᵇ = xᵃᵇ and multiply the exponents:

(2)^(3^1/2 · 3^1/2)

Apply the following property of exponents: xᵃ · xᵇ = xᵃ⁺ᵇ

(2)^(3^(1/2 + 1/2)) =2^3¹ = 2³ = 8

Then the expression can be written as:

[(2)^√3]^√3 = 8

Have a nice day!

7 0
3 years ago
Consider the following formula used to estimate height, h, of a seedling after w weeks since planting:
svp [43]

Answer:

Option B. w=5h-8

Step-by-step explanation:

we have

h=(\frac{1}{5})w+(\frac{8}{5})

Solve for w

That means ----> isolate the variable w

Multiply by 5 both sides to remove the fraction

5h=w+8

subtract 8 both sides

5h-8=w+8-8

5h-8=w

Rewrite

w=5h-8

4 0
2 years ago
I NEED HELP!!!!! ASAP!!!!!
zloy xaker [14]

Answer: 127 11/12

Step-by-step explanation:

1. 1/2 + 3/4 = 2/3

Change 1/2 by by multiplying by 2 to get a common denominator of fourths.

2/4 + 3/4 = 2/3?

5/4 = 2/3?

no

2. 5/8 - 1/4

Change 1/4 by by multiplying by 2 to get a common denominator of eighths.

5/8 - 2/8 = 3/8?

3/8 = 3/8 ?

yes

3/8 x 10 = 30/8

3. 4/5 +7/10 = 1 1/2

Change 4/5 by multiplying by 2 to get a common denominator tenths.

8/10 + 7/10 = 1 1/2?

15 /10 = 1 1/2?

yes

1 1/2 x 10 = 25

4. 2 1/3 - 1 5/6 = 1/6

Change 1/3 by multiplying by 2 to get a common denominator sixths.

2 2/6 - 1 5/6 = 1/6?

3/6 = 1/6

no

100 -2/3 - 1/6 + 30/8 + 25

multiply the thirds by 8. Sixths by 4. Eighths by 3 to get a common denomonator of 24ths.

100 - 16/24 - 4/24 + 90/ 24 + 25 = 125 70/24

create mixed number

127 22/24

reduce

127 11/12

5 0
2 years ago
How would I do this at the bottom it says solution
Jlenok [28]

Answer:

all you have to do is graph them but put them in y=mx+b form first, the coordinates is the solution

4 0
3 years ago
Find the sum of a finite geometric sequence from n = 1 to n = 7, using the expression −4(6)n − 1.
Verizon [17]

Answer:

<h2>-223,948</h2>

Step-by-step explanation:

The formula of a sum of terms of a gometric sequence:

S_n=a_1\cdot\dfrac{1-r^n}{1-r}

a₁ - first term

r - common ratio

We have

a_n=-4(6)^{n-1}

Calculate a₁. Put n = 1:

a_1=-4(6)^{1-1}=-4(6)^0=-4(1)=-4

Calculate the common ratio:

r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=-4(6)^{n+1-1}=-4(6)^n\\\\r=\dfrac{-4(6)^n}{-4(6)^{n-1}}=6^n:6^{n-1}\\\\\text{use}\ a^n:a^m=a^{n-m}\\\\r=6^{n-(n-1)}=6^{n-n+1}=6^1=6

\text{Substitute}\ a_1=-4,\ n=7,\ r=6:\\\\S_7=-4\cdot\dfrac{1-6^7}{1-6}=-4\cdot\dfrac{1-279936}{-5}=-4\cdot\dfrac{-279935}{-5}=(-4)(55987)\\\\S_7=-223948

7 0
3 years ago
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