expand and simplify (m+7) (m+3)

Answers

Answer 1

Answer:

m^2+10m+21

Step-by-step explanation:

Distribute:

m times m is m^2

m times 3 is 3m

7 times m is 7m

7 times 3 is 21

=> m^2+3m+7m+21

Add 3m and 7m

=> m^2+10m+21

Thus the equation is

m^2+10m+21

Hope this helps!

Answer 2

(m + 7)(m + 3)

= m(m + 3) + 7(m + 3)

= m² + 3m + 7m + 21

= m² + 10m + 21

____

Hope it helps ⚜


Related Questions

SOMEBODY HELP ME
NO LNKS PLZ

Answers

Write it out so I can help you!

Answer: 63

Step-by-step explanation:

[tex]a_4=-1+8^8\\a_4=63[/tex]

Nate's recipe calls for 3 cups of flour, but all of his
measuring cups are dirty. He remembers that there are
16 tablespoons in a cup How many tablespoons of four
should he use in his recipe?

Answers

He should use 48 tablespoons of flour in his recipe.

What is the value of the function y= 3x - 1 when x=-1?
-
-8
-4
O 2
06
Need help now

Answers

Answer:

-4

Step-by-step explanation:

y=3x - 1                      x= -1

y = 3(-1) -1

y = -3 -1

y= -4

Thegreergreertteraloargaaramaits 1>-25-31 >:-2 * 2 A 221 OD. 2.2 O O​

Answers

Answer:

A

Step-by-step explanation:

Find the magnitude of the following vector: v=15i + 8j​

Answers

[tex]\text{Given that,}\\\\\vec{v} = 15 \hat{i} +8 \hat j\\\\ \\\text{Magnitude of the vector,}\\\\|\vec v| = \sqrt{15^2 +8^2}= \sqrt{289} = 17[/tex]

Allison has 10 coins in dimes and nickels in her purse. The value of the coins is $0.70. Which pair of equations can be used to find the number of dimes, d, and nickels, n, Allison has in her purse?

Answers

Answer:

A lot

Step-by-step explanation:

Does this girl not have a credit card

The pair of equations is d + n = 10 and d + 5 n = 7 that can be used to find the number of dimes and nickels.

What is an equation ?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Number of dimes = d

And number of nickels = n.

Total number of coins = 10.

Also, the value of coins = $0.70.

According to given conditions,

Since, Total number of coins is 10,

The equation can be written as,

d + n = 10

Total value of coins are = 0.70

0.1d + 0.05n = 0.70

1/10 d / 5n / 100 = 0.70

10 d + 50 n = 70

d + 5 n = 7

The required pair of equations are  d + n = 10 and d + 5 n = 7.

To know more about Equation on:

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PLEASE HELP GIVING POINTS

Answers

the answer would be -13/3
Answer: A) 13/3

Explanation:

Which of the following is a function equivalent to f(x) = 3(1. 7)4x? f(x) = 25. 06x f(x) = 3(8. 35)x f(x) = 3(8. 25x) f(x) = 487. 97x.

Answers

The correct equivalent function can be found by using exponent rule.

The correct option is [tex]f(x)=3(8.35^x)[/tex].

Given:

The given expression is as follows,

[tex]f(x)=3(1.7)^{4x}[/tex]

Write the exponent rule.

[tex]a^{mn}=(a^m)^n[/tex]

To simplify the given expression apply the exponent rule.

[tex]f(x)=3(1.7)^{4x}\\f(x)=3(1.7^4)^x[/tex]

Using calculator find the value of [tex]1.7^4[/tex].

[tex]f(x)=3(1.7^4)^x\\f(x)=3(8.35)^x\\f(x)=3(8.35^x)[/tex]

Thus, the correct option is [tex]f(x)=3(8.35^x)[/tex].

Learn more about exponent rule here:

https://brainly.com/question/2254060

Billy has 201 packages of postcards. Each package has 18 cards. Use rounding to estimate. About
how many cards does Billy have?

Answers

Billy has 3,618 cards
201 * 18 = 3,618
18 card per package
201 packages
3,618 cards all together

Under her cell phone plan, Janelys pays a flat cost of $46.50 per month and $5 per gigabyte. She wants to keep her bill under $70 per month. Write and solve an inequality which can be used to determine g, the number of gigabytes Janelys can use while staying within her budget.

Answers

Answer:

Less than 4.70 GB

Step-by-step explanation:

Let x = # of GB that Janelys uses that month. Since Janelys wants to pay less than $70 given that the flat rate for subscribing to that company's data per month is $46.50 and each GB costs $5 to use, the inequality can be written as:

5x + 46.50 < 70

5x < 23.50                        Subtract $45.60 from each side.

x < 4.70 GB                       Divide 5 from each side.

Thus, (if it is whole numbers) Janelys can use 4 GB while staying within her budget or (if decimals are fine) anything less than 4.70 GB. Hope this helped! :D

Please solve this problem please ASAP !

Answers

Answer:

3/x+2 = 4/y

then y equals

3y = 4(x+2)

y = 4x + 8 / 3


Given f(x) = 2x2 – 9x + 2, g(x) = 1 - 6x, and
h(x) = x2 – 4, find the following function:
(h+f)(x)

Answers

Answer:

[tex](h+f)(x)=3x^2-9x-2[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-9x+2\\g(x)=1-6x\\h(x)=x^2-4[/tex]

Looks like g(x) is irrelevant here.

You can expand this like so:

[tex](h+f)(x)\\h(x)+f(x)[/tex]

And even further:

[tex](x^2-4)+(2x^2-9x+2)[/tex]

Now, it's just a matter of simplifying.

[tex]x^2-4+2x^2-9x+2\\\\(x^2+2x^2)+(-9x)+(-4+2)\\\\3x^2-9x-2[/tex]

Therefore:

[tex](h+f)(x)=3x^2-9x-2[/tex]

The square of the correlation coefficient gives a.An estimate of reliability b.An estimate of power c.The percentage of the variance attributed to error d.The percentage of the variance in the data that is accounted for by the independent variable.

Answers

Answer:

The coefficient of determination!

Step-by-step explanation:

It shows percentage variation in the target variable (y)y which is explained by all the predictor variables (X) together. It is always between 0 and 1. Hope this helps :)

the range of values of x for which 11-2x>1​

Answers

Answer:

(−∞,5)

Step-by-step explanation:

-2x>-10

x<5

Consider that your profit-maximizing quantity of 500 can be produced at an average cost per unit of $9 and sold for a market price of $14 What is your profit per unit? What is your total profit?

Answers

Based on the quantity sold and the price, the profit per unit is $5 and the total profit is $2,500

The profit made from each unit sold can be found as:

= Market price - Average cost

= 14 - 9

= $5

The total profit would therefore be:

= Profit per unit x Number of units sold

= 5 x 500

= $2,500

In conclusion, the profit per unit is $5 and the total profit is $2,500

Find out more about profit per unit at https://brainly.com/question/25531124.

Answer 1 question. Thanks

Answers

the slope of the line is -3 :))

The cost of 3 kg of apples and 6 kg of oranges is Rs 300. If the cost of 1 kg of oranges is Rs 30, find the cost of 8 kg of apples.​

Answers

Answer:

Cost of 1 = 30

So cost of 8kg apples=8*30

=240

Step-by-step explanation:

what is the midpoint of the segment with endpoints (2,-1) and (-3,4)

Answers

Let M = midpoint of the line segment.

M = [(2 - 3)/2, (-1 + 4)/2]

M = (-1/2, 3/2)

Done.

Question 6 of 25
Evaluate 4(x - 3) + 5x - x2 for x = 3.
-

Answers

[tex]\text{Given that,}\\\\4(x-3) +5x -x^2\\\\\text{For x =3,}\\\\4(3-3) +5(3) -3^2 = 4(0) +15 -9 = 6[/tex]

4( 3 - 3 ) + 5 (3) -(3)2
distribute the 4 into the 3’s
multiply 5 by 3 as well as -3 and 2
add them all

53 1/3 in the form 53^n where n is a whole number

Answers

[tex] {53}^{ \frac{1}{3} } \\ [/tex]

Solve for x. *

40
15
50
10

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The Angles marked there forms linear pair, and therefore they add up to be equal to 180°

That is ~

[tex] \sf2x + 30 + x = 180[/tex]

[tex] \sf3x + 30 = 180[/tex]

[tex] \sf3x = 180 - 30[/tex]

[tex] \sf x = 150 \div 3[/tex]

[tex] \sf x = 50 \degree[/tex]

Therefore, value of x is 50°

I NEED HELP PLEASE SHOW WORK ON A PIC

Answers

answers and step by step work on following picture

As per question

We shall proceed in graphical way

2x+4y≥8x+2y≥4--(1)

And

x-4y<6--(2)

Graph attached

What is the domain and range of this graph

Answers

Man just pay attention in school

4. Match these equation balancing steps with the description of what was done in each step.
Step 1:
12x−6 =10 6x−3 =5
Step 2:
6x−3 =5 6x =8
Step 3:
6x =8 x =43
Descriptions to match with each step:
A: Add 3 to both sides
B: Multiply both sides by 16
C: Divide both sides by 2

Answers

Answer:

step 1 - C.

step 2 - A.

step 3 - B.

Order the following numbers from least to greatest:
1/5/100 5% 0.0005 50/100 50 5/1000 500%

Answers

Answer:

0.0005, 1/5/100, 5/1000, 5%, 50/100, 50, 500%

Step-by-step explanation:

You can convert all the percentages and fractions into decimals for better comprehension.

0.0005

1/5/100 = 0.002

5/1000 = 0.005

5% = 0.05

50/100 = 0.5

50

500% = 500

Answer:

0.0005, 1/5/100, 5/1000, 5%, 50/100, 50, 500%

Step-by-step explanation:

Two vehicles are moving, one with the velocity of 20 m/s towards east and another with 10 m/s towards west. Calculate the distance between them after 20 minutes they are started from the same place and the same time. ​

Answers

Answer:

12 km

Step-by-step explanation:

20 minutes = 20 * 60 = 1200 second

distance = velocity * time

car 1 = 1200 * 20 = 24000 m = 24km

car 2= 1200 * 10 = 12000 m = 12km

so distance between them after 20 minutes is 24 -12 = 12 km

If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048 meter) WRITE THE DIMENSIONAL ANALYSIS!!!!!!!!!!!!

Answers

Answer:

3200 meters

Step-by-step explanation:

because it is

Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.

The number of laps around the track to run for 3.1 miles is 12.5.

What is unit conversion?

Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.

We have,

The track length = 400 meters

One lap = 400 meters.

We have,

3.1 miles

1 foot = 0.3048 meter ____ (1)

We know that,

[ 1 mile = 5280 foot ]

So,

3.1 miles = 3.1 x 5280 foot

3.1 miles = 16368 foot

From (1),

3.1 miles = 16368 x 0.3048 meter = 4988.9664 meters

Now,

Since 400 meters is one slap.

The number of laps in 4988.9664:

Divide 4988.9664 by 400

= 4988.9664 / 400

= 12.47

Rounding to the nearest tenth.

= 12.5

Thus the number of laps around the track to run for 3.1 miles is 12.5.

Learn more about unit conversion here:

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i need help again please n thank you :)

Answers

Answer:

A solid line.

Step-by-step explanation:

The line would be dashed if it was either a < or > sign, but the line is dashed when it is just a < or > sign.

Step-by-step explanation:

the answer is Dashed Line

A teacher orders school supplies by the pound.

A flat fee of
$
15.25
plus
$
3.45
per pound of supplies ordered is added to the bill to cover the shipping cost.
The teacher budgets
$
49.75
for the shipping cost.
Which list of values best represents the entire domain for shipping,
f
(
x
)
, as a function of the number of whole pounds of school supplies the teacher can order,
x
?


{
0
,
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
}

{ 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 }

{
0
,
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
}

{ 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 }

{
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
,
11
,
12
}

{ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 }

{
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
,
11
,
12
,
13
,
14
}

{ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 }

Answers

Answer: 10

Step-by-step explanation:

I did the math, also not to be rude but stop using so many 'enter' commands

Classify each of the following expressions by selecting the polynomial type.

9xy5

A)monomial
B)binomial
C)trinomial
D)polynomial

Answers

Answer:

i dont know just need points

Step-by-step explanation:

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