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Ede4ka [16]
2 years ago
11

.−3(4x + 3) + 4(6x + 1) = 43 What is the solution?

Mathematics
1 answer:
maks197457 [2]2 years ago
6 0

Answer:

  x = 4

Step-by-step explanation:

After you simplify the left side by eliminating parentheses and collecting terms, you have a 2-step linear equation.

  -3(4x +3) +4(6x +1) = 43 . . . . . . given

  -12x -9 +24x +4 = 43 . . . . . eliminate parentheses

  12x-5 = 43 . . . . . . . . . . . collect terms (now a 2-step equation)

  12x = 48 . . . . . . . . . . step 1, add the opposite of the unwanted constant

  x = 4 . . . . . . . . . . . step 2, divide by the coefficient of x

The solution is x = 4.

__

<em>Check</em>

  -3(4·4 +3) +4(6·4 +1) = 43 . . . . substitute for x

  -3(16 +3) +4(24 +1) = 43

  -3(19) +4(25) = 43

  -57 +100 = 43 . . . . . true

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2/5 of a foot pieces are there in 10 feet?
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Answer:

\frac{a}{25} That is the answer if you're finding the exact form...

Step-by-step explanation:

Simplify the expression

5 0
2 years ago
I need help solving for y and ploting it in the graph
Ket [755]
Basically y would be whatever the number x is times 2, so -2 to the second power is -4, -1 to the second power is -1, 0 to the second power is 0, 1 to the second power is 1 and 2 to the second power is 4. now all you have to do is graph those points and you’re good!
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2 years ago
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What is the awnser to −35+7+(−15)
Wewaii [24]

Answer:

-43

Step-by-step explanation:

-35 + 7 + (-15)

-35 + 7 - 15

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<u>= -43</u>

4 0
2 years ago
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<img src="https://tex.z-dn.net/?f=3%20%5Csqrt%7B2%7D%20%20-%204%20%20%5Cdiv%20%20%5Csqrt%7B3%7D%20%20-%202" id="TexFormula1" tit
ivann1987 [24]
Simplify the following:
(3 sqrt(2) - 4)/(sqrt(3) - 2)

Multiply numerator and denominator of (3 sqrt(2) - 4)/(sqrt(3) - 2) by -1:
-(3 sqrt(2) - 4)/(2 - sqrt(3))

-(3 sqrt(2) - 4) = 4 - 3 sqrt(2):
(4 - 3 sqrt(2))/(2 - sqrt(3))

Multiply numerator and denominator of (4 - 3 sqrt(2))/(2 - sqrt(3)) by sqrt(3) + 2:
((4 - 3 sqrt(2)) (sqrt(3) + 2))/((2 - sqrt(3)) (sqrt(3) + 2))

(2 - sqrt(3)) (sqrt(3) + 2) = 2×2 + 2 sqrt(3) - sqrt(3)×2 - sqrt(3) sqrt(3) = 4 + 2 sqrt(3) - 2 sqrt(3) - 3 = 1:
((4 - 3 sqrt(2)) (sqrt(3) + 2))/1

((4 - 3 sqrt(2)) (sqrt(3) + 2))/1 = (4 - 3 sqrt(2)) (sqrt(3) + 2):
Answer: (4 - 3 sqrt(2)) (sqrt(3) + 2)
4 0
3 years ago
A rectangular box has the dimensions shown in the diagram. The volume of the box is given by the function V(x) = x3 – 4x, where
marta [7]

Answer:

Height =3

Step-by-step explanation:

Given

Length = x + 2

Width = x - 2

Height = x

Volume = 15

Required

Find the height

The volume is calculated as thus:

Volume = Length * Width * Height

This gives

15 = (x + 2) * (x - 2) * x

Apply difference of two squares

15 =(x^2 - 4 ) * x

15 = x^3 - 4x

Subtract 15 from both sides

x^3 - 4x - 15 = 0

Using a calculator to factorize, we have:

(x-3)(x^2+3x+5) = 0

Split

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

x = 3 or  x^2 + 3x + 5 = 0

x has complex roots for x^2 + 3x + 5 = 0

Hence:

x = 3

Recall that:

Height = x

Height =3

3 0
2 years ago
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