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Ira Lisetskai [31]
4 years ago
9

**PLEASE HELP**

Mathematics
1 answer:
zepelin [54]4 years ago
5 0
----------------------------------------------------------
Given information
----------------------------------------------------------
Area = 3x² + 14x + 8 
Length = x + 4

----------------------------------------------------------
Formula
----------------------------------------------------------
Area = Length x Width

----------------------------------------------------------
Find Width
----------------------------------------------------------
3x² + 14x + 8  = (x + 4) x width
width = (3x² + 14x + 8) ÷ (x + 4)
width =  (x+4)(3x+2) ÷ (x + 4)
width = 3x + 2

----------------------------------------------------------
Answer: The width is 3x + 2 (Answer C)
----------------------------------------------------------
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On what interval is the function f(x) = -1272 +452 - 54 decreasing?​
vova2212 [387]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
A particle moves around the circle x^2 + y^2 = 25 at constant speed, making one revolution in 2 seconds. Find the acceleration v
drek231 [11]
First you need to get position vectors for x and y using polar coordinates:
x(t) = 5 cos (\pi t) \\  \\ y(t) = 5 sin (\pi t)

Acceleration is the 2nd derivative of position, Find 2nd derivatives of both x and y:
x''(t) = -5\pi^2 cos (\pi t) \\  \\ y''(t) = -5\pi^2 sin (\pi t)

Finally, evaluate acceleration at (3,4)
x = 3 when cos = 3/5
y = 4 when sin = 4/5
Substitute into acceleration functions:
x''(t) = -5\pi^2(\frac{3}{5}) = -3\pi^2 \\  \\ y''(t) = -5\pi^2 (\frac{4}{5}) = -4\pi^2

Final Answer:
( -3\pi^2 , -4\pi^2)
8 0
4 years ago
9. Jules wrote the expression below, but the
Leona [35]

Both expressions illustrate the use of algebraic expressions.

The missing term of -46x + 18 is 2

The expressions are given as:

-4(12x - 5) + 2x and -46x + 18

Let the first term of -46x + 18 be represented with variable y.

So, we have:

y -46x + 18

Equate both expressions

-4(12x - 5) + 2x = y -46x + 18

Open brackets

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Collect like terms

y = 46x - 48x + 2x + 20 - 18

y = 0 + 2

y = 2

Hence, the missing term is 2

Read more about algebraic expressions at:

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5 0
2 years ago
You want to stain the lateral faces of the wooden chest shown. Find the area that you want to stain in square inches.
natali 33 [55]

The surface area of the cube-shaped wooden chest which has the side edges of 4 feet shown is 96 square inches.

<h3>What is the surface area of a cube?</h3>

Surface area of cube is the sum of the area of each face by which it is enclosed. The surface area of cube can be calculated with the following formula;

A=6a^2

Here, (<em>a</em>) is the length of side of the cube.

You want to stain the lateral faces of the wooden chest shown. Find the area that you want to stain in square inches.

A cube-shaped wooden chest with side edges of 4 feet. Thus the surface area of it is,

A=6a^2\\A=6(4)^2\\A=96\rm\; ft^2

Thus, the surface area of the cube-shaped wooden chest which has the side edges of 4 feet shown is 96 square inches.

Learn more about the surface area of cube here;

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3 0
2 years ago
One eyed, one horned, flying purple people eaters are an endangered species. Their population is decreasing at an annual rate of
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