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3 years ago

#_Factor the quadratic binomial 3x2 - 48. Then, find one of its factors.

Mathematics

1 answer:

coldgirl [10]3 years ago

3 0

Answer:

3(x - 4)(x + 4)

Step-by-step explanation:

$3 {x}^{2} - 48 \\ = 3( {x}^{2} - 16) \\ = 3( {x}^{2} - {4}^{2} ) \\ = 3(x - 4)(x + 4)$

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Whats the answer, can someone plz help me????

Greeley [361]

X/5 + 7 = 14

Subtract 7 from each side:

X/5 = 7

Multiply both sides by 5:

x = 7 * 5

X = 35

7 0

3 years ago

Your friend's swimming pool is in the shape of a rectangular prism, with a length of 25 feet, a width of 8 feet, and a height of

RUDIKE [14]

Answer:

Part a) $V=1,000\ ft^{3}$

Part b) $h=5\ ft$

Part c) $=718\ gal$

Step-by-step explanation:

Part a) What is the volume of your friend's swimming pool?

we know that

The volume of a rectangular prism is equal to

$V=LWH$

substitute the values

$V=(25)(8)(5)=1,000\ ft^{3}$

Part b) Your swimming pool is in the shape of a cylinder with a diameter of 16 feet and has the same volume as your friend's pool. What is the height of your pool?

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

we have

$V=1,000\ ft^{3}$

$r=16/2=8\ ft$ ----> the radius is half the diameter

substitute and solve for h

$1,000=\pi (8)^{2} h$

$h=1,000/(64 \pi)$

$h=1,000/(64*3.14)=5\ ft$

Part c) While you were on vacation, 6 inches of water evaporated from your pool. About how many gallons of water evaporated from your pool?

remember that

$1\ ft=12\ in$

$6\ in=6/12=0.5\ ft$

Find the volume of water for $h=5-0.5=4.5\ ft$

$V=(3.14)(8)^{2}(4.5)=904.32\ ft^{3}$

the volume of water evaporated is equal to

$1,000\ ft^{3}-904.32\ ft^{3}=95.68\ ft^{3}$

convert to gallons

remember that

$1\ ft^{3}=7.5\ gal$

$95.68\ ft^{3}=95.68*7.5=718\ gal$

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2 years ago

If the distance between A(0, 4) and B(3,a) is 5 units then find the value of a.

Anna007 [38]

Answer:

Step-by-step explanation:

a = 0

So that AOB makes a right triangle with sides 3-4-5

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1 year ago

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PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry

Natasha2012 [34]

Answer:

4/7

Step-by-step explanation:

Tan= Opposite/Adjacent

Tan<f = 4/7

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3 years ago

Select the interval where f(x)>0<br><br> A: -2 B: 1< x<2<br> C: 4<br> HELP

Viefleur [7K]

Answer: 1 < x < 2

Step-by-step explanation:

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2 years ago