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hram777 [196]
3 years ago
13

Which of the following is the correct usage of the distributive property of the expression: 3(x+1) ?

Mathematics
1 answer:
Alchen [17]3 years ago
3 0

Answer:  =3x+3

Step-by-step explanation:

3\left(x+1\right)

\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac

3\left(x+1\right)=3x+3\cdot \:1

=3x+3\cdot \:1

\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=3

=3x+3

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Julie will build a rectangular pen for her dog against a barn. A wall from the barn will form one side of the pen. She has 32 m
MAXImum [283]

Answer:

<h3> The width (side perpedicular to the barn):  <u>x = 8 m</u></h3><h3>      The lenght (side parallel to the barn):  <u>y = 16 m</u> </h3>

Step-by-step explanation:

x  - the width of the barn

She has 32 m of fencing so for the lenght remain (32-2x) m of fencing:

y = 32 - 2x

Area of the fencing:  A = x•y

A(x) = x•(32 - 2x)

A(x) = -2x² + 32x             ←  quadratic function

The maximum value of quadratic function occurs at:  x=-\frac b{2a}

a = -2,  b = 32

x=-\frac b{2a}=-\frac{32}{2\cdot(-2)}=-(-8)=8

32-2x = 32 - 2•8 = 16

4 0
3 years ago
-2 (x - 3) + 6 = - (x + 5) <br> Solve for x and SHOW WORK please :)
Alex17521 [72]

Answer:

x=17

Step-by-step explanation:

8 0
3 years ago
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Someone help me with these two. I'll give you brainliest and 25 points!! MATHEMATICIANS OUT THERE HELP
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Hello LovingAngel!

To find the slope, you can use the formulas \frac{rise}{run} as well as \frac{y^2-y^1}{x^2 - x^1}. I am using the latter to calculate and ensuring my answer with the former. 

[Note: (x,y) is the format for ordered pairs]

First pair:  value 1:(1,5) and value 2:(2,8) 
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Second pair: value 1: (3,1) value 2 (3,-1)

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Checking work with \frac{rise}{run}
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2. Slope: -2/0, meaning rise (y) -2/drop (y) 2 and run 0. (3,1) -> (3 + 0, 1 + -2) -> (3,-1) <span>✔</span>

6 0
3 years ago
The cone had a radius of 4.5 inches and a height of 6 inches. What is the volume of this cone?
pochemuha

Answer:

125.8983

Step-by-step explanation:

Use the formula for volume of a cone: v= (1/3)(3.14)(radius squared)(height) so v = (1/3)(3.14)(20.25)(6) = 125.8983

4 0
2 years ago
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The answer is 640 because if you multiply the total student of 6h grade by 100 and divide by 30. You will get the total of student in the school
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