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2 years ago

Factor. Look for a GCF first. X^3+2x^2-48x

Mathematics

1 answer:

svp [43]2 years ago

4 0

Answer:

x(x - 6)(x + 8)

Step-by-step explanation:

First, the GCF of these 3 terms is x.

So to separate x from this it now becomes x(x^2 + 2x - 48).

Now to factor the expression inside the parentheses easily I use "a" and "b" to make it easier.

a + b = 2 (from 2x)

a * b = -48 (from third term of expression)

a = -6, b = 8

Substitute "a" and "b" and I get: x(x - 6)(x + 8)

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According to international standards, a tennis ball should have an internal pressure of 14 psi. Wilson claims that the pressure

Lisa [10]

Answer:

Check the explanation

Step-by-step explanation:

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3 years ago

Identify the equation in slope-intercept form for the line containing the point (-4,1) and (2,3)

oksano4ka [1.4K]

Answer:

The point slope formula is

(y−y1)=m(x−x1)

Where m = the slope calculated as y2−y1x2−x1

(x1,y1)(x2,y2)

(-4 , 1) (-2 , 3)

Solve for the slope

m = 3−1−2−(−3) = 21 = m = 2

(y−3)=2(x−(−2)) Plug in known values.

y−3=2(x+2) Simplify signs

y−3=2x+4 Use Distributive property

y=−2x+4+3 isolate the y variable

answer (y = −5x+7 ) Simplify

7 0

3 years ago

Find the surface area of the tool box. Round your answer to the nearest tenth and explain your answer. Pls I NEED THE ANSWER NO

Andrej [43]

Answer:

807.8 in^2

Step-by-step explanation:

The total area of the box is the sum of the areas of all faces of the box. The top, bottom, front, and back faces are rectangles 18 in long. The end faces each consist of a rectangle and a triangle. We can compute the sum of these like this:

The areas of top, bottom, front, and back add up to be 18 inches wide by the length that is the perimeter of the end: 2·5in +2·8 in + 9.6 in = 35.8 in. That lateral area is ...

(18 in)(35.6 in) = 640.8 in^2

The area of the triangle on each end is equivalent to the area of a rectangle half as high, so we can compute the area of each end as ...

(9.6 in)(8.7 in) = 83.52 in^2

Then the total area is the lateral area plus the area of the two ends:

640.8 in^2 + 2·83.52 in^2 = 807.84 in^2 ≈ 807.8 in^2

7 0

3 years ago

Chase consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Chase's body

PIT_PIT [208]

Answer:

(a) The 5-hour decay factor is 0.5042.

(b) The 1-hour decay factor is 0.8720.

Step-by-step explanation:

The amount of caffeine in Chase's body decreases exponentially.

The 10-hour decay factor for the number of mg of caffeine is 0.2542.

The 1-hour decay factor is:

$1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720$

(a)

Compute the 5-hour decay factor as follows:

$5-hour\ decay\ factor=(0.8720)^{5}\\=0.504176\\\approx0.5042$

Thus, the 5-hour decay factor is 0.5042.

(b)

The 1-hour decay factor is:

$1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720$

Thus, the 1-hour decay factor is 0.8720.

(c)

The equation to compute the amount of caffeine in Chase's body is:

A = Initial amount × (0.8720)<em>ⁿ</em>

It is provided that initially Chase had 171 mg of caffeine, 1.39 hours after consuming the drink.

Compute the amount of caffeine in Chase's body 2.39 hours after consuming the drink as follows:

$A = Initial\ amount \times (0.8720)^{2.39} \\=[Initial\ amount \times (0.8720)^{1.39}] \times(0.8720)\\=171\times 0.8720\\=149.112$

Thus, the amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

4 0

3 years ago

What is 27 over 40 as a decimal

baherus [9]

27 divided by 40 is equal to 0.675.

5 0

3 years ago