what is the anser to the equation 2^{2x+2} = 2^{3x}
A) x = 2.5
B) x = 1
C) x = 2
D) x = -2

Answers

Answer 1

Answer: C) x = 2

2^{2x + 2} = 2^{3x}

Since both terms (above) have the same base, set the exponents to be equal:

2x + 2 = 3x (Rearrange to solve for x)

x = 2

∴ x = 2


Related Questions

1.Ms. Bowery bought five shirts and one pair of pants for a total of $56.23. Each shirt cost
the same price. The pants cost $7 more than a shirt. How much did each shirt cost? Round to
the nearest dollar and cent
A) $9.20
B) $49.26
C) $8.20
D) $10.20

Answers

Answer:

[tex]\mathrm{C)\:} \$8.20[/tex]

Step-by-step explanation:

Let [tex]s[/tex] represent the cost of each shirt in dollars. We can write the cost of the pants as [tex]s+7[/tex]. Using these terms, set up the following equation:

[tex]5s+(s+7)=56.23[/tex].

Solving, we get:

[tex]5s+s+7=56.23,\\6s=56.23,\\6s=49.23\\s\approx \fbox{$\$8.20$}[/tex]

I believe it’s C. Because $8.20x5 is 41, then 8.50+7= $15.50 so then add 41+15.50= 56.50. That’s just my guess.

Julien is baking cookies with his mother.

The recipe calls for:

1 ½ cups of flour

2 ⅔ cups of oatmeal

3 ¼ cups of chocolate chips

1 cup of sugar

½ cup of brown sugar

The only measuring cups that Julien can find are ⅛ cup and ⅓ cup. How will he make the cookies?

Answers

Answer:

well quite easily just doing the math

Step-by-step explanation:

Ta -Da

1 1/2 cups of flour = 12/8 cups of flour

2 2/3 cups of oatmeal = 2 2/3 cups of oatmeal

1 cup sugar = 3/3 or 8/8 cups of sugar

1/2 cup of brown sugar = 4/8 cups of brown sugar

Simplify: (4x + 3 ) - (5x - 1)

Answers

Answer:

-x + 4

Step-by-step explanation:

(4x + 3) - (5x - 1)

distribute the - into the (5x - 1)

remove the ( )

4x + 3 - 5x -+1

combine like terms

-x +4

Hope this Helps!!!

A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high.
What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?
A
[tex]1\frac{3}{4}[/tex] feet

B
[tex]2\frac{3}{4}[/tex] feet

C
[tex]5\frac{1}{4}[/tex] feet

D
8 feet

Answers

Answer:

A is the answer

Step-by-step explanation:

I think

OPEN ENDED QUESTION
What is (-3)2?

Answers

Answer:

-6(?)

Step-by-step explanation:

-3 times 2 is -6. But why is this open ended?

Answer:

-6

Step-by-step explanation:

three twos

add the negative

Is this relation a function? justify your answer

Check image

A

B

C

D

Answers

Answer: No C

Step-by-step explanation:

The x values of the coordinates cannot repeat.

Using a straight line test, a straight line can be drawn vertically on the x axis point of 4.

Can all arithmetic sequences be modeled by a linear function?

Answers

Answer:

yes

Step-by-step explanation:

"We can think of an arithmetic sequence as a function on the domain of the natural numbers; it is a linear function because it has a constant rate of change."

Find the slope of the graph

Answers

the slope is 5/3x :)

is the relationship between the side length of a square and the area of a square proportional?

Answers

Answer:

Students make in-out tables to assist them in noticing patterns and generalizing the mathematical relationships. Expect students to discover that area increases proportionally to the square of how much the side length increases.)

PLEASE HELP WILL GIVE BRAINLIEST!!
NEED DONE TODAY PLEASE HELP!!

Answers

Answer:

They are not traveling at the same speed (Graph attached)

Step-by-step explanation:

(Assuming that the graph and table are the two different cars)

If you look at the graph and the table, you can already see that the value for 8 in the graph is 2, when the value for 8 in the table is 1, meaning that they are not at the same speed.

To graph the table, you need to find the equation first, which is y = 8x because the corresponding value for 1 in the table is 8 and the slope (or the value next to x) is equal to the unit rate, or the value corresponding to 1. Next, you can graph it by finding two points, (0,0) and (1,8), and putting a straight line through them (or use an online graphing calculator).

(Graph is attached)

Randy owns 120 baseball cards, and Phil owns 95 baseball cards. The number of baseball cards Davis owns is equal to 5 times the difference between Randy's number of cards and Phil's. How many cards does Davis own?

A. 25 cards
B. 30 cards
C. 125 cards
D. 150 cards

Answers

Answer:

125

Step-by-step explanation:

First you want to find out the difference between Randy and Phil:

120 - 95 = 25

Then, multiply that by five:

25 × 5 = 125

Hope this helps

Answer:

Davis owns 125 cards

Step-by-step explanation:

120 - 90 =  25 x 5 = 125

What is the area of this figure?
10 cm
7 cm
6 cm
17 cm
10 cm
4cm

Answers

Answer:

285,600

Step-by-step explanation:

I calculated it I am pretty sure I am correct

Answer:

110

Step-by-step explanation:

I split the shape into smaller pieces and got 10 for the width and 7 height I multiplied them and got an area of 70 for the first shape. For the second I got the width of 4 and length of 10 multiply them and you'll get 40. Last add them and you get 110 cm.

25−2(5+4x)
15+8x


35+8x

HURRY I HAVE TO DO THIS TEST BEFORE 3 AND ITS 50 QUESTIONS


15-8x


7x

Answers

Step-by-step explanation:

25 - 2(5 + 4x)

= 25 - 10 - 8x (Distributive Property)

= 15 - 8x.

A building is 360 feet tall. On a scale drawing, 1/4 inch = 10 feet. What is the height of the building in the scale drawing?

Answers

Answer:

the answer is 9 inches

360/10=36

36*.25 =9

A recipe calls for 6 apples for an apple pie. If Lisa wants to make 4 apple pies, how many apple does she need?

Answers

Answer:

24 apple to make 4 apple pies

Step-by-step explanation:

6 apples for a pie, and we need to make for pies soo.... 6×4 which equals 24 hope this helped. please mark me brainilyest

24. All you need to do is multiply 6 by 4

44 laps in 7 days = ____ laps in 14 days

Answers

Answer:88

Step-by-step explanation:

Answer:

88?

Step-by-step explanation:

Find the solution between - x - 3y = 6 and the equation of the line shown on the graph below.

Answers

Answer:

They are the same line.

Step-by-step explanation:

y = -1/3x - 2

-x - 3y = 6

First, we need both lines to follow the equation of y = mx + b so that we can graph them. We already have one equation in that form (the one from the graph given), so we can ignore that for now.

Next, we need to solve -x - 3y = 6. Let's first move the x to the other side of the equal sign.

-3y = x + 6

Now, since we have a similar equation to what we need, we just need to divide the y by the given number in front (or -3). But that also means that we must divide the other side by the same amount (or each variable).

-3y = x + 6. -> y = -1/3x - 2

So, your final equation for -x - 3y = 6 should be;

y = -1/3x -2

Bringing down the other equation, we get:

y = -1/3x - 2 and y = -1/3x - 2

Making both equal to each other (they cancel each other out).

Hope this helps!

(And sorry that this is a long explanation)

When is the slope intercept form only y= mx and not y = mx+b?

Answers

Answer:

No Y-Intercept

Step-by-step explanation:

The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.

help me with this thanks for anyone who helps! :D

Answers

Answer:

x= 90-60

x=30

Step-by-step explanation:

Answer:

30° is the answer because its a right angle

Step-by-step explanation:

can you mark me brainliest? thank you

You need to move a figure to the right 3 units and down 4 units. What is the coordiante notation for this rule?

Answers

Answer:

 4,3

Step-by-step explanation:

I need help -5 + g = -2 step by step so I can learn

Answers

Answer:

Step-by-step explanation:

if you need to find g,

add 5 on both sides

g=-2+5

g=3

The first step was to add five on both sides because the opposite of subtracting is adding. You should have gotten g= 3 as your answer:).

A train at a constant speed and goes 7.5 kilometers in 6 minutes. At the rate:
How far does the train go in 1 minute?
How far does the train go in 100 minutes?

Answers

Answer:

The distance covered by a train in 1 minute = 1.25 kilometers

The distance covered by a train in 100 minutes = 125 kilometers

Step-by-step explanation:

The distance covered = 7.5 kilometers

Time taken = 6 minutes

Calculating unit rate

unit rate = 7.5 kilometers / 6 minutes

              = 1.25 kilometers per minute

Thus,

The distance covered by a train in 1 minute = 1.25 kilometers

and

The distance covered by a train in 100 minutes = 1.25 × 100

                                                                                = 125 kilometers

True or False To find the circumference of a circle you multiply the diameter by pi

Answers

Answer:

false

Step-by-step explanation:

Formula: c=2[tex]\pi[/tex]r

Circumference= two times pi times radius

10+x=21 ?

What’s the answer

Answers

Answer:

x=11

Step-by-step explanation:

first you flip the X and the 10, then subtract the 10 on both sides and you should be left with x=11

Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent.

You draw one card at random from a shuffled deck of 52 playing cards. The deck has four 13−card suits (diamonds, hearts, clubs, spades).

The card is a diamond or a heart.


The probability expressed as a fraction is:
The probability expressed as a decimal is:
.
The probability expressed as a percent is:


Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent.


2. You draw one card at random from a shuffled deck of 52 playing cards. The deck has four 13−card suits (diamonds, hearts, clubs, spades).

The card is a diamond or a heart.


The probability expressed as a fraction is:
The probability expressed as a decimal is:
.
The probability expressed as a percent is:

Answers

Answer:

There we go!!!

Help me please...........:)

Answers

Answer:

4/3

Step-by-step explanation:

WILL MARK BRAINLIST!!! only for correct answer
NEED CORRECT ANSWER ASAPPP

Answers

Answer:

B

Step-by-step explanation:

The answer is B because the slope is [tex]\frac{4}{1}[/tex] and there is no y- intercept

Answer:

A.

Step-by-step explanation:

It starts from 32 on the y-axis and goes up 4 times on x-axis.

30 points! I will mark brainliest! Pic attached below

Answers

Answer:

parallel

Step-by-step explanation:

usually, you would put both into slope-intercept form...

but, you could also just use desmos :)

Answer:

Perpendicular

Step-by-step explanation:

they are the same but the seccond one is minus so the lines go the opposite way

What is the value of the expression 19 - ?

Answers

It’s going down, there’s no value

Mr. Johnson buys 5 bottles of lemonade for the school picnic. He buys four 28
ounce bottles and one 64-ounce bottle. Using rounding to the nearest ten, about
how much lemonade does Mr. Johnson buy in all?

A. 360 ounces

B. 180 ounces

C. 90 ounces

D. 190 ounces

Answers

(4x28)+64
112+64
176
Rounded to the nearest ten it would be 180
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