How do you multiply monomials with the same base?​

Answers

Answer 1

9514 1404 393

Answer:

  multiply their coefficients, use the base with the sum of exponents

Step-by-step explanation:

The coefficients multiply. The base gets an exponent that is the sum of the exponents of the factors.

  (a·x^b)(c·x^d) = ac·x^(b+d)

_____

If you remember that an exponent is simply an indicator of the number of times the base is a factor, this should be fairly clear. The usual associative and commutative properties of multiplication apply.

Example

  5x^2 · 7x^3= 5·x·x·7·x·x·x

  = 5·7·x·x·x·x·x

  = (5·7)(x^(2+3))

  = 35x^5


Related Questions

Find the missing angles.

Answers

Answer:

w=30.5 y=29

Step-by-step explanation:

2w=61 so w=30.5

61+y=90 so y=29

Yes what the person above me said is correct I believe

Explanation

The scale of a truck is 3.7 cm

Answers

Answer:

that truck must be straight fire

Hmmmmmmmmdhdhjejekekekekee

50 POINTS!!!43
what is 43 7/8% of $2.35?
Round your answer to the nearest cent

Answers

Answer:

$1.03

Step-by-step explanation:

7/8 = 0.875

then

43 7/8 = 43.875%

43.875/100 = 0.43875

2.35 * 0,43875 = 1.031

Round to the neares cent:

1.03

Step-by-step explanation:

[tex]43 \frac{7}{8} \% \: of \: 2.35 \\ \frac{351}{8} \% \: of \: 2.35 \\ \frac{351}{8 \times 100} \times 2.35 \\ \frac{824.85}{800} = \boxed{\$1.0310625}[/tex]

$ 1.0310625 is the right answer.

Helpppppppppppppppppp

Answers

Answer:

1 and 4

Step-by-step explanation:

Answer:

1, 4

:):):):):):):):):):):)

Solve the following inequality using both the graphical and algebraic approach:

x/2 + 1 < 3x + 2​

Answers

Answer:

C. xz-0.4

Step-by-step explanation:

I calculated logically

The percentage profit earned by selling a watch for Nu 1920 is equal to the percent loss incurred by selling the same watch for Nu 1280. At what price should the watch be sold to make 25% profit​

Answers

Answer:

2,000

Step-by-step explanation:

The computation of the price that should be sold for making 25% profit is shown below:

Let cost price be x

Now the equation would be

(1,920 - x) ÷ x × 100 = (x - 1,280) ÷ x × 100

1,920 - x = x - 1,280

2x = 3,200

x = 1,600

Now the sale price would be

= 1,600 × 1.25

= 2,000

Find the value of (x) in the triangle shown below.

Answers

the right side will also be 62° so 62+62 is 124

180-124= 56°

x=56°

Quadrilateral E F G H is shown. Angle E is (15 x minus 10) degrees, angle F is (15 x + 14) degrees, angle G is (9 x minus 4) degrees, and angle H is (11 x + 10) degrees.
What is the greatest angle measure in the diagram?

95o
105o
119o
180o

Answers

Answer:

119

Step-by-step explanation:

Answer:

C. 119 degrees

Which number comes next in the pattern? 89, 77, 65, 53,
CLEAR
SUBMIT
SUBMIT
12
41
42
52
O

Answers

Answer:

41 comes next then 29 then 17


89-12 = 77
77-12= 65
65-12= 53
53-12= 41

it’s a pattern just by subtracting 12

ANSWER: 41

solve to find X :3 ≥ -3x

Answers

Answer:

[tex]3 \geqslant - 3x \\ \frac{3}{ - 3} \geqslant \frac{ - 3 x}{ - 3} \\ - 1 \leqslant x[/tex]

Help solve inequality

Answers

Answer:

n ≥ -95

Step-by-step explanation:

[tex]\frac{n}{-5}[/tex]  -4 ≤ 15    

[tex]\frac{n}{-5}[/tex] ≤ 19             add 4 to 15

n ≥ -95            multiple -5 to 19; sign flips when multiplying or dividing an inequality

Matt is rounding some numbers to the nearest tenth. Select the number that will have a 4 in the tenths place after rounding.
4.04
5.39
6.34
7.48

Answers

6.39 :) because in the tenths place there is a 3 and the six rounds that up to a 4!

Answer:

5.39

Step-by-step explanation:

4.04 rounded will be just 4

5.39 rounded is 5.4

6.34 rounded is 6.3

7.48 rounded is 7.5

When rounding if the second number is less than 4 you don't change it like in 6.34 that 4 after the 3 means it will just be 6.3 BUT if the second number is 5 or higher you round up on like with 5.39 it became 5.4 and with 7.48 it became 7.5  

What is the scale factor of 9/10=21/x what is x

Answers

9x= 210
X=210/9
X=23.33........

three blocks are placed together as shown below. 3.8cm 8.7cm 9.4cm​

Answers

It’s gotta be 21.9cm cause u just add them all

6. A trail is 13.5 miles long. There are markers every 0.25 mile along the trail, including at the
end of the trail. How many markers are there in all?

a) 4
b) 5
c) 40
d) 54

Answers

Answer:

54

Step-by-step explanation:

13.5/0.25=54

Estimate 95.63+66.552 by first rounding each number to the nearest whole number

Answers

Answer:

162

Step-by-step explanation:

95.63 rounds up to 96

66.552 stays at 66

96+66=162

A team of seven workers started a job, which can be done in 11 days. On the morning of the fourth day, several people left the team. The rest of the team finished the job in 14 days. How many people left the team?

Let x be the number of people who left the team.
(Hint: Focus on the work left after several workers left. )

Answers

Answer:

3 people left

Step-by-step explanation:

The job can be completed by 7 people in 11 daysThe job is equivalent of 7*11 = 77 people*days

After 3 days, job left:

(11 - 3)*7 =  56 people*days

This was completed by 7 - x people as x people left

Time needed was 14 days, we have new equation:

14(7 - x) = 567 - x = 4x = 7 - 4x = 3

As we found, 3 people left

If f(x) = -6x + 1, what is f(1/2x-1) equal to

Answers

9x^2-10x^1+1 from −2x^2+4x−10

By substituting [tex]x = \(\frac{1}{2}x-1\)[/tex] , the given function f(x) = -6x + 1 can be simplified to [tex]f(x) = \(f(\frac{1}{2}x-1) = -3x + 7\)[/tex].

To find [tex]\(f(\frac{1}{2}x-1)\)[/tex], substitute [tex]\(\frac{1}{2}x-1\)[/tex] into the function f(x):

[tex]\(f(\frac{1}{2}x-1) = -6(\frac{1}{2}x-1) + 1\)[/tex]

Now, simplify the expression:

[tex]\(f(\frac{1}{2}x-1) = -3x + 6 + 1\)\\\\\(f(\frac{1}{2}x-1) = -3x + 7\)[/tex]

So, [tex]\(f(\frac{1}{2}x-1) = -3x + 7\)[/tex].

To know more about function, refer here:

https://brainly.com/question/13007893

#SPJ2

What is the equation of the line that has a slope of 1/3 and goes through the point (6, -2)?

Answers

Answer:

y=1/3x-4

Step-by-step explanation:

plug this equation into Desmos, a graphing calculator site, and the point and you can see it goes right through it! i hope this helped!

What is the value of the expression?

Answers

Answer:

2/0 or infinity

Step-by-step explanation:

Hannah says that 2.11 is a rational number. Gus says that 2.11 is a repeating decimal.
Who is correct and why? Use the drop-down menus to explain your answer.

Answers

Answer:

Yes, hannah is correct.

Yes yo uoui is yo you know what

The perimeter of a rectangle is 70 and it's diagonal is 25. Find it's length and width.

Answers

P=70
d=25
Let’s name length y and width x
x+x+y+y=70
2x+2y=70
Now we need to write phytagoras theorem for the second equation. x^2+y^2=25^2
x^2+y^2=625
{2x+2y=70
{x^2+y^2=625

{x=35-y
{(35-y)^2+y^2=625

Now just solve it for y yourself❤️hope this helped

Michael borrowed $1000 on a 2 year loan. He is charged 5% simple interest per year.
How much interest is he charged for 2 year? What is the total amount he has to pay
back?
O $1000, $3000
O $10, $1010
O $50, $5000
O $100, $1100

Answers

Answer:

the last choice

Step-by-step explanation:

simple interest means there is only interest on the original principal (1000$)

so 2 years of 5% would be 10%, 10% of 1000 is 100.

total amount = interest+principal, so it is 100, 1100

The choices are<,>,= and greater then or equal to

Answers

Answer: equal

Step-by-step explanation:

The square root of 35 is 5.9

5 9/10 = 5.9

please help Pythagorean theorem


please answer all the question

Answers

Answer:

a)5

b)17

c) ?

[tex]d) 3\sqrt{2}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

Formula: [tex]a^{2} + b^{2} = c^{2}[/tex]

A.)

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]4^{2} +3^{2} = c^{2}[/tex]

16 + 9 = [tex]c^{2}[/tex]

25 =  [tex]c^{2}[/tex]

5 = c

__________________________________________________________

B.)

[tex]15^{2} + 8^{2} = c^{2}[/tex]

225 + 64 = [tex]c^{2}[/tex]

289 = [tex]c^{2}[/tex]

17

__________________________________________________________

C.)

[tex]11^{2} + 14^{2} = c^{2}[/tex]

121 + 196 = [tex]c^{2}[/tex]

317 = [tex]c^{2}[/tex]

17.8

__________________________________________________________

D.)

[tex]3^{2} + 3^{2} = c^{2}[/tex]

9 + 9 = [tex]c^{2}[/tex]

18 = [tex]c^{2}[/tex]

4.2

Sry my Wi-Fi is actin up

breakout edu keyla winter wonderland question


i CAN'T DO THIS I've tried so many times how do you do it

Answers

Answer:

due i feel you i suck at those and my teacher counts THEM AS A GRADE AAA GRADEE!!!!

Suppose a bank charges a base rate of $5 plus $0.10 per check for your checking account. You can switch to a different account that charges $4 plus $0.20 per check. For what number of checks is the monthly cost of the two accounts the same? What is the cost?

Answers

Answer:

10 number of checks.

Cost = $6

Step-by-step explanation:

Given that:

Fixed Charges of first bank = $5

Charges of first bank per check = $0.10

Fixed Charges of second bank = $4

Charges of second bank per check = $0.20

To find:

Number of checks such that the charges for the banks become the same?

Solution:

Let the number of checks = [tex]x[/tex]

Cost for the first bank for [tex]x[/tex] checks = $5 + $0.10[tex]x[/tex]

Cost for the second bank for [tex]x[/tex] checks = $4 + $0.20[tex]x[/tex]

As per question statement, both the costs are the same.

Comparing the values:

[tex]5 + 0.10x = 4 + 0.20x\\\Rightarrow 0.10x = 1\\\Rightarrow x = 10[/tex]

So, for 10 number of checks the cost will be same.

The cost = 4 + 0.20 [tex]\times[/tex] 10 = $6

there are 5 people in Edgar's family. they have 3 loaves of pumpkin bread to share equally. Edgar wants to know how much pumpkin bread he will get?

Answers

Answer:

3 divided 5

Step-by-step explanation:

Edgar will get 3/5 or 0.6 part of pumpkin bread.

What is ratio?

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Total numbers of people in Edgar's family = 5

Total number of pumpkin bread = 3

Since, 3 bread are divided equally among 5 people,

implies that, bread will divide in the same ratio,

5 people = 3 bread

1 people= 3/5 bread

1 people= 0.6 part of bread

So Edgar will get 3/5 or 0.6 part of bread.

To know more about Ratio on:

https://brainly.com/question/1504221

#SPJ3

Determine the solutiong to the equation. -8x - 2(7 + 2x) = -6(2x + 5) A. No solution B. One solution C. Infinite

Answers

your answer is

C. infinite

good luck :)

A forest covers 73,000 acres. A survey finds that
0.3% of the forest is old-growth trees. How many acres of
old-growth trees are there?

Answers

Answer:

0.3% of 73,000 acres

in acres its 219

in square foot its 9,539,640

and in square yard its 1,059,960

Step-by-step explanation:

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