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fredd [130]
3 years ago
10

Expand and simplify(x+3)(4x2-x-8)​

Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
7 0

Answer:

4x3+11x2−11x−24

Step-by-step explanation:

(x+3)(4x2−x−8)

=(x+3)(4x2+−x+−8)

=(x)(4x2)+(x)(−x)+(x)(−8)+(3)(4x2)+(3)(−x)+(3)(−8)

=4x3−x2−8x+12x2−3x−24

=4x3+11x2−11x−24

igor_vitrenko [27]3 years ago
3 0
(x+3)(4x2-x-8) = -x(x+3)

Steps:
(x+3)(4x2-x-8)

Multiply the numbers: 4x2=8
= (x+3)(-x+8-8)

Simplify: 8-x-8: -x
= (x+3)(-x)

Remove parentheses: (-a) = -a
= -(x+3)x
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anna wants to finish a 26.2 mile race in 5 hours. If she runs the first 3 hours of the race at a speed of 6 miles per hour, what
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3 0
3 years ago
A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate
sdas [7]

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

x^2 + 1^2 = y^2

Differentiate w.r.t time (t)

2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}

2x\frac{dx}{dt} = 2y\frac{dy}{dt}

Divide both sides by 2

x\frac{dx}{dt} = y\frac{dy}{dt}

From the question, we have that the plan travels are 510mi/h.

This implies that:

\frac{dx}{dt} = 510mi/h

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

y = 2mi

Apply Pythagoras theorem

x^2 + 1^2 = y^2

x^2 + 1^2 = 2^2

x^2 + 1 = 4

x^2 = 4-1

x^2 = 3

x = \sqrt 3

So, the expression becomes:

x\frac{dx}{dt} = y\frac{dy}{dt}

\sqrt 3 * 510 = 2* \frac{dy}{dt}

\frac{\sqrt 3 * 510}{2} =  \frac{dy}{dt}

\sqrt 3 * 255 =  \frac{dy}{dt}

\frac{dy}{dt} = 255\sqrt 3

\frac{dy}{dt} = 255 * 1.7321

\frac{dy}{dt} = 441.655

\frac{dy}{dt} = 442

<em>Hence, the distance is 442 miles</em>

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3 years ago
Plz help me well mark brainliest!..
Sav [38]

Answer:

(-2, -4.5) is the answer!

I hope this helps!

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