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Stolb23 [73]
3 years ago
13

HELP! Simplify: -6 (5/3x+4) A) -10x-24. B) -10x-24. C) -10x+4. D) -10x-4.

Mathematics
2 answers:
Rzqust [24]3 years ago
8 0

Answer:

\large\boxed{-6\left(\dfrac{5}{3}x+4\right)=-10x-24}

Step-by-step explanation:

-6\left(\dfrac{5}{3}x+4\right)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=-6\!\!\!\!\diagup^2\cdot\dfrac{5}{3\!\!\!\!\diagup_1}x+(-6)\cdot4\\\\=-10x-24

pashok25 [27]3 years ago
6 0

Answer:

D) -10x-4

Step-by-step explanation:

−6(5/3x+4)

=(−6)(5/3x+4)

=(−6)(5/3x)+(−6)(4)

=−10x−24

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Y = -5x + 15 2x + y = 12
Nana76 [90]

Answer:

x = 1, y = 10

Step-by-step explanation:

y = -5x + 15 --- Equation 1

2x + y = 12 --- Equation 2

Substitute y = -5x + 15 into Equation 2:

2x + y = 12

2x - 5x + 15 = 12

Evaluate like terms.

15 - 3x = 12

Isolate -3x.

-3x = 12 - 15

Evaluate like terms.

-3x = -3

Find x.

x = -3 ÷ -3

x = 1

Substitute x = 1 into Equation 2:

2x + y = 12

2(1) + y = 12

2 + y = 12

Isolate y.

y = 12 - 2

y = 10

4 0
3 years ago
Read 2 more answers
The volume of a rectangular prism is 948.6 m3. The prism has a base that is 3.1 m by 5.1 m. Find the height of the prism.
saveliy_v [14]
Just divide 948.6 m^3 by 3.1 m and 5.1 m to get 60 m
6 0
3 years ago
Which algebraic expression is equivalent to the expression below?
prohojiy [21]
You can again ignore the parenthesis because you are not distributing anything. 
Your equation will look like this

3x + 11 + 6x

You can move each of these numbers around any way you like. You can combine the 3x and the 6x if you want, but they did not do that. You cannot take the x away and put it in front of the 11 though.

B. is your answer. All they did was move the 6x inside the parenthesis and the 11 out of the parenthesis. 

Always remember, when you are adding things together, the parenthesis don't matter! 
3 0
3 years ago
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Order the steps to solve the equation log(x^2-15)=log(2x) form 1 to 5
nasty-shy [4]

Answer:x=-5 and x=3

Step-by-step explanation:

log(x^2-15)=log(2x)

Cancel log at both sides we get

x^2-15=2x

Collect like terms

x^2-2x-15=0

x^2-3x+5x-15=0

x(x-3)+5(x-3)=0

(x+5)(x-3)=0

x+5=0 x-3=0

x=-5 x=3

6 0
3 years ago
What are the zeros of f(x) = x(x-7)?
den301095 [7]

Answer:

c. 0 and 7

Step-by-step explanation:

3 0
3 years ago
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