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2 years ago

Exercise #4: Each of the following fractions can be converted to a whole number using division.

Mathematics

1 answer:

solong [7]2 years ago

6 0

A) 6 because 12 divided by 2 is 6

B) 9 because 45 divided by 5 is 9

C) 23 because 207 divided by 9 is 23

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Solve the equation (linear equation)<br><br> <img src="https://tex.z-dn.net/?f=8%5E%7B2x%2B7%7D%20%3D%20%28%5Cfrac%7B1%7D%7B32%7

Minchanka [31]

Answer: $x=-1$

Step-by-step explanation:

By the negative exponent rule, you have that:

$(\frac{1}{a})^n=a^{-n}$

By the exponents properties, you know that:

$(m^n)^l=m^{(nl)}$

Therefore, you can rewrite the left side of the equation has following:

$(\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}$

Descompose 32 and 8 into its prime factors:

$32=2*2*2*2*2=2^5\\8=2*2*2=2^3$

Rewrite:

$(\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}$

Then:

$(\frac{1}{2})^{-3(2x+7)}=(\frac{1}{2})^{5(3x)}$

As the base are equal, then:

$-3(2x+7)=5(3x)$

Solve for x:

$-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1$

8 0

3 years ago

Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.

andrew-mc [135]

Answer:

f(x):

$x = - 4$

g(x)

$x = 1$

Step-by-step explanation:

When a function is of the form:

$f(x) = a {(x - h)}^{2} + k$

The equation of the axis of symmetry is

$x = h$

The given function is

$f(x) = 3 {(x + 4)}^{2} + 1$

We can see that h=-4

Hence the equation of axis of symmetry is

$x = - 4$

From the graph, the axis of symmetry of h(x) is the vertical line that divides the parabola into two congruent halves.

This line is

$x = 1$

4 0

3 years ago

2.1 If 5 + 3 = 0 and < 0, evaluate (without using a calculator):

Sergeeva-Olga [200]

1. 18

2.8

3.-1

<h3>What is expression?</h3>

An expression is a set of terms combined using the operations +, – , x or ,/.

Given:

1. 22 − 1 (4)

=22- 1*4

= 22-4

= 18

2. 2 + 2 (3)

=2+2*3

=2+6

3. 1 − 2

= -1

Learn more about expression here:

brainly.com/question/14083225

#SPJ1

6 0

2 years ago

Y = 1000x = _____???

Georgia [21]

Answer:

Simplifying

y = 1000X

Solving

y = 1000X

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying

y = 1000X

Step-by-step explanation:

5 0

3 years ago

Jaime hiked for 3 days across an island. He started at the shoreline, which is at an elevation of O feet.

Gre4nikov [31]

Answer:

D. 4120 feet

Step-by-step explanation:

<u>Jamie lost on the third day:</u>

2150 + 1970 = 4120 feet

Correct option is D.

4 0

3 years ago

Read 2 more answers