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3 years ago

Evaluate 12x2 + 39x + 30 at x = 3.

Mathematics

2 answers:

astraxan [27]3 years ago

4 0

Answer:

255

Step-by-step explanation:

f(x) = $12x^{2}\\$ + 39x + 30

f(3) = 12(3) $^{2}$ + 39(3) + 30

= 108 + 117 + 30

= 255

ycow [4]3 years ago

3 0

Answer:

255

Step-by-step explanation:

12x^(2) + 39x + 30

x = 3

Substitute in"3" for "x" and solve;

12(3)^(2) + 39(3) + 30

= 12 * 9 + 117 + 30

= 108 + 117 + 30

= 255

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Answer:

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Step-by-step explanation:

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(2x +1°) + (- 10°) = 90°<br>what are the measures of the 2 angles?

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Answer:

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Step-by-step explanation:

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3 years ago

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The volume of clay used to build a cylindrical pillar with a height of 9 centimeters is 324π cubic centimeters. The area of the

Kitty [74]

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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.

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3 years ago