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Lilit [14]
3 years ago
13

Is ×+4 a factor of p(×)=x^3 -4×^2-17×+60

Mathematics
1 answer:
Vitek1552 [10]3 years ago
8 0

Answer:

Yes, It is a factor

Step-by-step explanation:

<u>Step 1:  Plug in -4 to see if it is a factor</u>

p(-4) = (-4)^3 - 4(-4)^2 - 17(-4) + 60

<em>p(-4) = 0</em>

<em />

<em><u>Since it is 0, that means that it is a factor.</u></em>

<em><u /></em>

Answer:  Yes, It is a factor

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How do you find the end behavior?
Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

In this lesson, you will learn what the "end behavior" of a polynomial is and how to analyze it from a graph or from a polynomial equation.

What's "end behavior"?

The end behavior of a function

f

ff describes the behavior of the graph of the function at the "ends" of the

x

xx-axis.

In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the

x

xx-axis (as

x

xx approaches

+

∞

+∞plus, infinity) and to the left end of the

x

xx-axis (as

x

xx approaches

−

∞

−∞minus, infinity).

yyxxy=

f(x)

y=f(x)

x gets

x gets

more

+ more +

f(x) gets

f(x) gets

more

+ more +

For example, consider this graph of the polynomial function

fff. Notice that as you move to the right on the x

xx-axis, the graph of f

ff goes up. This means, as x

xx gets larger and larger,

f(x)

f(x)f, left parenthesis, x, right parenthesis gets larger and larger as well. Mathematically, we write: as

x→+x→+∞x, right arrow, plus, infinity,

f(x)→+∞

f(x)→+∞f, left parenthesis, x, right parenthesis, right arrow, plus, infinity. (Say, "as xxx approaches positive infinity, f(x)

f(x)f, left parenthesis, x, right parenthesis approaches p

5 0
3 years ago
What is the value of x + 3y + z if x = 4, y = 5, and z= 22<br>a) 16<br>b) 41<br>c) 2​
fgiga [73]

Answer:

OPTION B - 41

Step-by-step explanation:

An expression is given and the corresponding values for the expression are also given. We have to substitute the given values to arrive at the answer.

The given expression is:   x + 3y + z.

Also given: x = 4, y = 5, z = 22.

Substitute these values in the above expression, we get:

4 + 3(5) + 22 = 4 + 15 + 22 = 41.

∴                                       x + 3y + z = 41

3 0
3 years ago
Select from the drop-down menu to correctly compare the numbers.
OverLord2011 [107]
This questions can be answered with a calculator, but I have an impression it is meant to be a mental calculation problem, which can be solved as follows.

We know that 10*10=100, in otherwords, &radic; 100 = 10 which is greater than 9.4247.

We also know that &radic; 108  is greater than &radic; 100 =10

So we can conclude that
&radic; 108 > &radic; 100 = 10  > 9.4247
or simply

&radic; 108 > 9.4247

by the transitive property of logical propositions.


6 0
3 years ago
The circumference of a circle is 11 pi inches.
ser-zykov [4K]

9514 1404 393

Answer:

  30.25π square inches

Step-by-step explanation:

You can use the formula for area in terms of circumference:

  A = C²/(4π)

  A = (11π)²/(4π) = (121/4)π = 30.25π . . . square inches

_____

You may be expected to find the radius first:

  C = 2πr   ⇒   r = C/(2π) = 11π/(2π) = 5.5 . . . inches

Then use the area formula:

  A = πr² = π(5.5 in)² = 30.25π in²

8 0
3 years ago
The quantities x and y are proportional.
Ahat [919]

Answer:

hello misi how are you doing?

8 0
3 years ago
Read 2 more answers
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