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morpeh [17]
3 years ago
6

Use the factor theorem to determine if the given binomial is a factor of f (x).

Mathematics
1 answer:
oee [108]3 years ago
8 0

Answer:

<em>The binomial is a factor</em>

Step-by-step explanation:

In order to show that x+3 is a factor of the polynomial, then;

f(a) = 0

Get a by equating x+3 to zero

x+3 = 0

x = -3

Get f(-3)

f(-3) =  (-3)^4 + 8(-3)^3 + 11(-3)^2 -11(-3) + 3

f(-3) = 81 - 216 + 99 + 33 + 3

f(-3) = 216-216

f(-3)  = 0

<em>Since the remainder of the polynomial when divided by x+3 is zero, this shows that x+3 is a factor of the given polynomial</em>

<em></em>

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Which function has the same domain as y=2_/x?​
navik [9.2K]

Answer:

A. y = square root of 2x

We are given the function

y = 2 √x

We are asked for the function that has the same domain as the given function

First, the domain for the given function is this

{ x | x ≥ 0 }

So, any function that has a domain of x that is equal to or greater than 0. Some examples:

f(x) = √x  -  2

f(x) = 5 √x

8 0
3 years ago
What is 6x to the third power?
murzikaleks [220]

Answer:

216x

Step-by-step explanation:

  1. Write it out: 6x^{3}  
  2. 6^{3} = 216  
  3. Add in x: 216x

I hope this helps!

8 0
3 years ago
Read 2 more answers
Ann studied the effects of watching television on time spent exercising
34kurt

The response variable in the study that Ann has done here can be said to be Time spent exercising.

<h3>What is a response variable?</h3>

This is the name that is used to refer to the dependent variable. This is the variable that is of interest in the study. The goal is to see the changes that occurs in the particular variable based on the actions that another variable would have such as the independent variable.

From this we can see that The response variable in the study that Ann has done here can be said to be Time spent exercising.

Read more on response variable here:

brainly.com/question/22046153

#SPJ1

8 0
1 year ago
Write an expression using all six trigonometric functions such that the value of the expression is 3.
iren2701 [21]
The trig functions that you need to deal with are
Sine
Cosine
Tangent
Cotangent
Cosecant
Secant

You need to write a single expression using all six trig functions such that the value of the expression equals 3.

To make this as simple as possible, the first thing I would do is look up the values of these functions and identify which ones are equal to either 1/2 or 1.0 or 2.0

sin(30º) = 1/2
sin(90º) = 1
cos(0º) = 1
cos(60º) = 1/2
tan(45º) = 1
csc(30º) = 2
csc(90º) = 1
sec(0º) = 1
sec(60º) = 2
cot(45º) = 1

If we only had to use three trig functions (sin, cos, tan), one possibility is
tan(45º) + cos(0º)/sin(30º) = 1 + 1/(1/2) = 1 + 2 = 3
noticed how I chose one each of the required functions and the operations so that the result = 3.

Now it is up to you to figure out how to combine all six trig functions so that they equal zero. There are many possibilities for you to choose from..
6 0
3 years ago
Write a situation for 15 x - 20 is less than or equal to 130 and solve
ankoles [38]
15x-20<130
15x<130+20
15x<150
X=150/15
x<10
4 0
4 years ago
Read 2 more answers
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