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2 years ago

What is the GCF of the terms of the polynomial −16y4 + 12y2 – 4y?

Mathematics

1 answer:

Tresset [83]2 years ago

5 0

Answer:

The GCF is - 4y

Step-by-step explanation:

Given the polynomial expression −16y4 + 12y2 – 4y?

If we carefully traverse all the terms we can factor out 4y from all the terms

=-4y(4y³-3y+1) which is similar to the original expression

Hence the greatest common factor GCF = - 4y

The Greatest Common Factor (GCF) is the largest number that will divided evenly into that number.

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A street lamp casts a shadow 31.5 feet long, while an 8 foot-tall street sign casts a shadow of 14 feet long. What is the length

sergeinik [125]

Answer:

The answer to your question is the height of the lamp is 18.2 ft

Step-by-step explanation:

Data

Street lamp shadow = 31.5 ft

Street sign height = 8 ft

Street sign shadow = 14 ft

Street lamp height = x

Process

1.- To find the height of the lamp use proportions. In this kind of problem, we do not look for the length, but the shadow.

Street lamp height/street lamp shadow = street sign height/street sign

shadow

Substitution

x / 31.5 = 8 / 14

Solve for x

x = (31.5)(8) / 14

Simplification

x = 254.4 / 14

Result

x = 18.2 ft

4 0

2 years ago

The measure of the supplement of an angle exceeds three times the measure of the complement by 30. Find the measure of the angle

USPshnik [31]

Answer:

Angle = 45

Supplement = 135

Complement = 45

Step-by-step explanation:

5 0

2 years ago

You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week

aliya0001 [1]

Answer:

$q = -6p + 104$

Step-by-step explanation:

Linear function:

A linear function has the following format:

$q = mp + b$

In which m is the slope and b is the q-intercept.

One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.

This means that we have these following points: (4,80), (10,44).

Finding the slope:

With a pair of points, the slope is given by the change in q divided by the change in p.

Change in q: 44 - 80 = -36

Change in p: 10 - 4 = 6

Slope: $m = \frac{-36}{6} = -6$

$q = -6p + b$

Finding b:

We replace one of the points. Replacing (4,80).

$q = -6p + b$

$80 = -6*4 + b$

$b = 104$

$q = -6p + 104$

7 0

2 years ago

A packet contains 1.5kg of oats.

Vlad1618 [11]

1.5kg is 1500 grams.
Maria uses 50g a day, so to know how many days takes eating the whole packet just divide 1500 by 50.

4 0

2 years ago

Read 2 more answers

Which is closest to the quotient 2,967 ÷ 0.003?

rodikova [14]

Answer:

989000

Step-by-step explanation:

Divide 2,967 ÷ 0.003

7 0

2 years ago