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egoroff_w [7]
9 months ago
11

Use the remainder Theorem to find the remainder for the given division. (16z^4-1)/(z+1)

Mathematics
1 answer:
Mice21 [21]9 months ago
7 0

Remainder Theorem: when a polynomial <em>P(x) </em>is divided <em>by (x - a), </em>the remainder is <em>P(a).</em>

<em />

Given expression:

\frac{16z^{4}-1}{z+1}

In this case:

P(z)=16z^4-1z=-1

To know the reminder, we have to plug in the value of <em>z </em>in the polynomial:

P(-1)=16(-1)^4-1

Simplifying:

P(-1)=16(1)^{}-1P(-1)=16^{}-1P(-1)=15

Answer: The remainder is 15.

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Answer:

#2- A

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8 0
3 years ago
The product of a number w and 73
wolverine [178]
W times 73 because product means multiply
3 0
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Mrs. Simpson drove 105 miles in 2 1/2 hours. What was Mrs. Simpson's average speed in miles per hour?
harkovskaia [24]
105 m = 2.5 h
 
x miles = 1 hour

You cross multiply since it's a proportion:
2.5 * x
105 * 1

=

2.5x = 105

Then you divide everything by 2.5

The answer is 42




5 0
3 years ago
Read 2 more answers
3x^2+ 4x + 5 for x = -2
Alexus [3.1K]
The answer is 33
3(-2)^2+4(-2)+5
-6^2+ (-8) + 5
36 + (-8) + 5
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33
7 0
3 years ago
Help me out with number 8!!! I’m confused and I need this by tomorrow HELP PLEASE
ivann1987 [24]
We can use elimination for these set of systems.
First, we need to set up our variables.
Belts=b
Hats=h
Now, the situation is 6 belts and 8 hats for $140. The situation after is 9 belts and 6 hats for $132.
Let’s set up our system of equations.
6b+8h=140
9b+6h=132
We need to eliminate a variable. Since b has coefficients of 6 and 9, we can easily eliminate b by multiplying the top equation by 3 and the bottom by -2.
18b+24h=420
-18b-12h=-264
Now let’s add.
12h=156
Let’s divide to get h by itself.
156/12=13=h
So a hat costs $13. We need to put in 13 for one of the equations so we can find the cost of a belt.
9b+6(13)=132
9b+78=132
We need b by itself.
9b=54
54/9=6
Belts are $6
We can also use the first equation to check our answers.
6(6)+8(13)
36+104
140.
So, the price of a belt is $6 while the price of a hat is $13.
































3 0
2 years ago
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