Use the Distributive Property to simplify the following expression. a: 4(x+2) b; -5(9+x) c: 7(x-3)

Type down when answering how you got the answers​

Answers

Answer 1
hello!

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The Distributive Property states the following:-

[tex]\longrightarrow\sf{a(b+c)=ab+ac[/tex]

Where

[tex]\longrightarrow\sf{a,~b,~and~c~can~be~either~constants~or~variables}[/tex]

Now, let's use this property to simplify our expressions.

The first one is

[tex]\bigstar{\underline{\boxed{{4(x+2)}}}[/tex]

Simplify by distributing 4:-

[tex]\longrightarrow\sf{4~times~x~+4~times~2}[/tex]

Add the products:-

[tex]\longrightarrow\sf{4x+8}[/tex]

[tex]\rule{250}{2}[/tex]

Solve the next one:-

[tex]\bigstar{\underline{\boxed{\sf{-5(9+x)}}}[/tex]

Distribute -5 & add the products:-

[tex]\longrightarrow\sf{-45-5x}[/tex]

[tex]\rule{250}{2}[/tex]

Solve the last one:-

[tex]\bigstar{\underline{\boxed{7(x-3)}}[/tex]

Distribute 7:-

[tex]\longrightarrow\sf{7x-21}[/tex]

======================================================

note:-

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)


Related Questions

Find the area of each triangle 10in. 9in.

Answers

Answer: 45

Step-by-step explanation: Area of a triangle is l x h all divided by 2.

Plug numbers in. 9 x 10=90. 90/2 = 45.

Find the derivative of 76x + 1 at x = 1.

Answers

Answer:

76

Step-by-step explanation:

We know the rule when finding the derivative :

dy/dx = nxⁿ⁻¹

Deriving

dy/dx = 76x + 1dy/dx = 1 * 76 * (x)¹⁻¹ + 0 * 1¹⁻¹dy/dx = 76The x = 1 becomes irrelevant because there is no 'x' present in the derivative

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{d}{dx}(76x + 1) [/tex]

[tex]\qquad \sf  \dashrightarrow \:76 {x}^{1 - 1} + 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:76 {x}^{0} + 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:76[/tex]

Here, we have got a constant number, therefore for any value of x it will be 76

Therefore, derivative of 76x + 1 at x = 1 is 76

Find the 11th term of the following geometric sequence 2,6,18,54,…

Answers

Answer:

118,098

Step-by-step explanation:

Notice that each term is multiplied by 3, 2 x 3 is 6, 6 x 3 is 18... and so on.

so 54*3 = 162 and keep multiplying your answer by three until you have 11 times

Answer number 8 please. Thank you.

Answers

C because they don’t add to 180

Answer:

The answer is C. A triangle is made up of a total angle of 180°, therefore C. is more than 180°

What does (2x−2)(3x+5) equal?

Answers

Answer:

6x² + 4x + 10

Step-by-step explanation:

(2x - 2)(3x + 5)

2x(3x + 5) - 2(3x + 5)

6x² + 10x - 6x + 10

6x² + 4x + 10 ans.

hope this helps you !

PLEASE HELP ASAP!!!
i dont know this

Answers

Answer:

Put 4.96 in the second box then solve which the answer is 6.76

Step-by-step explanation:

X + 4.96 = 1.8

1.8 + (-4.96) = X

1.8 - 4.96 = X

-3.16 = X
Therefore, X = -3.16

Solve this question. Explain or show your reasoning. 1/2x-7=1/3(x-12)

Answers

X = 18
Solve for x by simplifying both sides of the equation, then isolating the variable.

help ASAP!!! answer e f g h question

Answers

Step-by-step explanation:

answer......

...........

Hyperbolas are confusingggg

A skateboard halfpipe is being designed for a competition. The halfpipe will be in the shape of a parabola and will be positioned above the ground such that its focus is 30 ft above the ground. Using the ground as the x-axis, where should the base of the halfpipe be positioned? Which equation best describes the equation of the halfpipe?

(0, 60); y equals one over two hundred forty times x squared minus 60
(0, 60); y equals one over two hundred forty times x squared plus 60
(0, 15); y equals one over sixty times x square minus 15
(0, 15); y equals one over sixty times x squared plus 15

Answers

Answer:

I think the answer is A but im not sure

The diameter of a circle is 1213 inches.

What is the radius, r, of the circle?

Enter your answer as a mixed number in simplest form by filling in the boxes.

r = _ / in.

Answers

Answer:

the answer  6 1/6

Step-by-step explanation:

proof here

Answer: 6/1 6

Step-by-step explanation: i took the  quiz

help please.. write the equation of the blue line using slope-intercept form (y=mx+b)

Answers

y = mx + p

p = - 7 since the line cuts the y-axis in -7

and m the slope ?

we choose 2 points (-2 ; 0) and (0 ; - 7)

we move of 2 units towards the left to go down of 7 units

=> m = - 7/2

y =  - 7/2x - 7

or

y = -3,5x - 7

whats the value of x+26

Answers

Answer:x = 154°

Step-by-step explanation:

The central angle and the angle between the tangents are supplementary, so

x + 26° = 180° ( subtract 26° from both sides )

x = 154°

Answer: 154 degrees

Step-by-step explanation: subtract 180 from 26 To get it .

Can someone please help me with this if you can thank you! ​

Answers

Answer:

38.69

Step-by-step explanation:

=$38.69411765

=$38.69 (to the nearest cent)

(100/85) \$32.

What's the answer?? I really need help

Answers

Answer:

100in^3

Step-by-step explanation:

1. Split the shape into 2 separate rectangles.

2. Use the volume of a rectangle formula for each and add together (look at picture above).

I hop this helps! Have a blessed rest of the night!

if the sum of two consecutive even number is 22 , find the number​

Answers

Let the two consecutive even numbers be x and x+2
According to the question,
x+x+2=22
or,2x+2=22
or,2x=22-2
or,2x=20
or,x=20/2
therefore x=10
now x+2 = 10 + 2 = 12
Therefore the numbers are 10 and 12

what is the area of the triangle in square yards 10 3/4 yards and 7 yards

Answers

The answer isH
A=hbb
2

the 6th term is 22 and the common difference is 6

Answers

Answer:

I have no idea what are you talking about......

Question 2
For three months after the training program, the sales director collected the sales data for the 200 sales representatives from
the Midwest and Northeast regions. The director then broke down the number of sales orders for the representatives
according to whether they received training or not. This data is shown in the table.
Three Months' Sales Orders
Training
No Training
Midwest
234
196
Northeast
252
178
Question
Use the data shown in the table to complete each statement.
Select the correct answer from each drop-down menu.
For the Midwest region, the average number of sales orders per representative for the group that had training is
more than the average number of sales per representative for the group that had no training,
For the Northeast region, the average number of sales orders per representative for the group that had training is
more than the average number of sales per representative for the group that had no training
The data from the sales director's study indicates that the one-month training program
sales

Answers

Answer:

see below for the whole unit activity

Step-by-step explanation:

Verizon phone company charges $48 for unlimited texting per month or $0.16 per text message sent or received. For what amount of text messages would the unlimited plan cost the same as per-text plan?

Answers

Answer:

300 text messages sent or received

Step-by-step explanation:

.16 x 300 = 48 which is the same amount as the unlimited texting

Answer:

300

Step-by-step explanation:

this is the answer to this question

the lent of an alligator last year was 32 inches and 38 inches this year what is the percent change of the alligator length?

Answers

Answer:

18.75

Step-by-step explanation:

please help me please

Answers

Answer:

Heres the answer Hope this helps!:)

There are values of t so that sin t= 5/4

Answers

Answer:

False

Explanation:

sin t can never be greater than 1 or less than -1

∠A and ∠B are corresponding angles, the measure of \angle ∠A is 110

Answers

Answer:

Step-by-step explanation:

if the measure of <A is 110°

Then the measure of <B is also 110°


Find the total surface area of the cube.
2.2 cm

Answers

Answer:

The formula for surface area of a rectangular prism or cube is:

SA = 2 (LW+LH+WH)

So, we do, 2 (2×2+2×2+2×2)

So, the answer is 2×12 or 24 cm²

System of Equations- pls help with the following problem
Solve the System of equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).

a) x+y=1
2x+y=5





b) x+2y = 4
x +y = 1




c) x-y=-5
x+y= 11



Pls show your work as I want to understand how to solve this type of equation.

Answers

Answer:

please mark me as brainlest

Step-by-step explanation:

b is the answers for the question

help pls asap

answer:


explain: ​

Answers

rate of change: 1/2

rate of change:

[tex]\sf \bold{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

coordinates taken: (0, 0), (2, 1)

[tex]\rightarrow \dfrac{1-0}{2-0}[/tex]

[tex]\rightarrow \dfrac{1}{2}[/tex]

Take 2 points

(-2,-1)(2,1)

[tex]\\ \rm\rightarrowtail m=\dfrac{1+1}{2+2}[/tex]

[tex]\\ \rm\rightarrowtail m=\dfrac{2}{4}[/tex]

[tex]\\ \rm\rightarrowtail m=\dfrac{1}{2}[/tex]

(100 POINTS) Question 2: 6 pts
Find the zeros of the quadratic function f(x) = 2x2 + 4x - 6 from the graph.

Answers

Answer:

1 and -3

Step-by-step explanation:

The zeros of a quadratic function are the points on the graph where the curve intercepts the x-axis (where y = 0).

From inspection of the attached graph, we can see that the curve intercepts the x-axis at x = -3 and x = 1.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The Zeroes of a function are the x - coordinates of points when the curve touches/cuts the x - axis, so ~ for the given curve the roots are :

[tex]\qquad \sf  \dashrightarrow \:1 \: \: and \: \: - 3[/tex]

Therefore, the correct choice is D

The numbers below are the golf score for the UGA golf team. 68, 70, 72, 73, 74, 75. What is the mean AND the mean absolute deviation (MAD) of the data?

A.MEAN:73; MAD:2
B.MEAN:72; MAD:2
C.MEAN73; MAD:6
D.MEAN; MAD:6

Answers

The mean and mean absolute deviation of the given data are;

B. Mean: 72; mean absolute deviation: 2.

What is The Mean Absolute Deviation?

The mean absolute deviation of a data set is the average distance of each data point in the data set from the mean of the data set.

Given the data, 68, 70, 72, 73, 74, 75:

Mean = (68 + 70 + 72 + 73 + 74 + 75)/6 = 432/6

Mean = 72

Mean absolute deviation = [(68 - 72) + ( 70 - 72) + ( 72 - 72) + ( 73 - 72) + ( 74 - 72) + ( 75 - 72)] / 6

Mean absolute deviation = [(4) + (2) + (0) + (1) + (2) + (3)] / 6

Mean absolute deviation = 12/6

Mean absolute deviation = 2

Learn more about the mean absolute deviation on:

https://brainly.com/question/17381861

The volume of a sphere is 75716 cm3.
Work out the radius of the sphere.

Answers

Answer:

Step-by-step explanation:

Givens

V = 75716

pi = 3.14

r = ?

Formula

V =  (4/3) pi * r^3

Solution

75716 =  (4/3) * 3.14 * r^3              Multiply both sides by 3/4

75716 * 3/4 = 3.14 * r^3

56787 = 3.14 r^3                           Divide by 3.14

56787 / 3.14 = 3.14 * r^3/3.14

18085 = r^3

∛18985 = ∛ r^3

r = 26.25

Which probability is equal to 25%?
А
5/100
B
1/4
с
25/1
D
4/5

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Fraction is converted to percentage:

[tex](\frac{1}{4} )(100)=\frac{100}{4} =25%[/tex] %

Hope this helps

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