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3 years ago

consider the polynomial 6x^4+24x^3-72x^2. what is the greatest common factor of the terms of the polynomial

1 answer:

7 0

First, look at the coefficients, 6, 24, -72. 6 is a factor of 6, 24, and -72. Since one of the coefficients is in fact 6, then 6 is the GCF of the coefficinets.

Now look at the variables. You have x^4, x^3, and x^2. Remember what the exponents mean. They mean a multiplication of several factors of x.

x^4, x^3, x^2 mean xxxx, xxx, xx

xxxx, xxx, xx have 2 factors of x in common, so the greatest common factor of the variables is xx which is the same as x^2.

When you put together the common factor of the coefficients and the common factor of the variable parts, you get GCF = 6x^2.

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Miguel is designing shipping boxes that are rectangular prisms. The shape of one box, with height h in feet, has a volume define

ycow [4]

Answer:

96 ft³

Step-by-step explanation:

A graphing calculator conveniently graphs this function. It shows the maximum volume is about 96 ft³.

7 0

2 years ago

looks out from the crown of the Statue of Liberty, approximately 250 ft above ground. The tourist sees a ship coming into the ha

Zigmanuir [339]

Answer:

The distance from the base of the statue to the ship is 771.60 ft

Step-by-step explanation:

Refer the attached figure

Height of statue AB= 250 feet

The tourist sees a ship coming into the harbor and measures the angle of depression as 18°.

So, ∠ACB = 18°

We are supposed to find the distance from the base of the statue to the ship i.e. BC

In ΔABC

$Tan \theta = \frac{Perpendicular}{Base}$

$Tan 18^{\circ}=\frac{AB}{BC}$

$Tan 18^{\circ}=\frac{250}{BC}$

$BC=\frac{250}{Tan 18^{\circ}}$

$BC=\frac{250}{0.324}$

BC=771.60 ft

Hence the distance from the base of the statue to the ship is 771.60 ft

3 0

3 years ago

(-8, -2) and (1, 9) find the slope

sergejj [24]

Answer:

11/9

Step-by-step explanation:

To find the slope

m = ( y2-y1)/(x2-x1)

= ( 9 - -2)/(1 - -8)

= ( 9+2)/ (1+8)

= 11/9

6 0

3 years ago

Two men walk at rates of 6 miles per hour and 10 miles per hour respectively. They started from the same place walking in opposi

Bad White [126]

50 hours
10 - 6 = 4
200 divided by 4 = 50

7 0

4 years ago

Read 2 more answers

Does this graph show a function explain how you know

In-s [12.5K]

<h3>Answer:</h3>

C. No, the graph fails the vertical line test

<h3>Step-by-step explanation:</h3>

Functions describe the relationship between the dependent variable, y, and the independent variable, x.

Functions

For a graph to be a function, x-values cannot repeat. This means that one x-value cannot have more than one y-value.

However, functions can have repeating y-values. So, y-values can have more than one x-value; as seen in quadratic functions. This means that answer B cannot be correct.

Vertical Line Test

The vertical line test is a way to determine if a graph is a function. A graph passes the vertical line test if you can draw a vertical line at every point on the coordinate plane and not have it intersect with the graph more than once.

On the graph in the question, a vertical line would intersect with the graph twice at the x-values greater than -1. Since the graph fails the vertical line test, it is not a function.

5 0

2 years ago