4 years ago

How would you graph 2x > 6 on a number line?

Mathematics

1 answer:

elena55 [62]4 years ago

6 0

Hope its understandable

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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.

5 0

3 years ago

What is 2.24 rounded to the nearest tenth?

quester [9]

One tenth is 0.1. Therefore, the answer has to be 2.x. Since 4 is less than 5, the 2 remains the same. The answer is 2.2.

3 0

3 years ago

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What is the slope of the line that passes through the points (3 -1) and (-2 -5)

natima [27]

The slope is

(difference in y-values) / (difference in x-values)

= (-4) / (-5)

= 0.8

4 0

3 years ago

Silas just bought a used car for $5000. It loses value at a rate of 30% per year. The value of the car in n years is modeled by

Fantom [35]

Answer:

$1200.50

plug 5 for n

5000(.7)^4

5000*.2401

=1200.5

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3 years ago

Please help with my algebra 1 homework <br><br> thank you

MrRissso [65]

1) Answer:

$\frac{4m^{10} }{9n^{18} }$

2) Answer:

$8m ^{5}$

The answer for first equation is, option B.

and the Answer for Second equation is option D.

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3 years ago