3 years ago

8 < 4(x+1) show your work

1 answer:

5 0

8 < 4 (x + 1) Use the Distributive Property
8 < 4x + 4 Subtract 4 from both sides
4 < 4x Divide both sides by 4
1 < x

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Factorize 2√2a∧3 +8b∧3 -27c∧3+18√2abc

rosijanka [135]

Answer:

{sqrt(2) 2 sqrt(a), 8 b + 3, 3 - 27 c, 18 sqrt(2) a b c + 3}

Step-by-step explanation:

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3 years ago

On moving day, Jorge needs to rent a truck. The length of the cargo space is 12 ft, and the height is 1 ft less than the width.

lidiya [134]

Answer:

12ft $\times$ 7ft $\times$ 6ft

Step-by-step explanation:

Given that truck can hold = 504 $ft^{3}$ i.e.

Volume, V = 504 $ft^{3}$

Length of cargo space = 12 ft

Let width of cargo space = w ft

As per question statement:

Let height of cargo space = (w-1) ft

To find: The Dimensions of Cargo Space

Formula for Volume of Cargo Space:

V = Length $\times$ Width $\times$ Height

Putting the given values and conditions:

504 = 12 $\times$ $w \times (w-1)$

$\Rightarrow w(w-1) = \dfrac{504}{12}\\\Rightarrow w^{2} -w = 42\\\Rightarrow w^{2} -w - 42=0\\\Rightarrow w^{2} -7w +6w -42 =0\\\Rightarrow w(w -7) +6(w -7) =0\\\Rightarrow (w -7)(w+6) = 0\\\Rightarrow w =7, -6$

Dimensions can not be negative, so width, w = 7 ft

Height = (w-1) = 7-1 = 6 ft

So, the dimensions are 12ft $\times$ 7ft $\times$ 6ft.

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3 years ago

Identify the set of numbers that best describes the score with respect to par of several golfers: 2, -3, 5, 0, -1.

Nuetrik [128]

Integer and rational numbers

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3 years ago

Read 2 more answers

Which type of factoring is used to factor the following expression: 2x^2 + 7x- 30

svetlana [45]

Answer:

(2x - 5) • (x + 6)

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3 years ago

Simplify the radical expression √(5) + 6√(5)

Evgesh-ka [11]

Answer is C) 7√(5)
cause

√(5) + 6√(5)
=√5 (1+6)
= 7√5

8 0

3 years ago