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IgorLugansk [536]
3 years ago
7

Use the Remainder Theorem to find the remainder: (16x^4 – 8x^3 – 4x + 1) ÷ (2x + 1)

Mathematics
1 answer:
vodka [1.7K]3 years ago
3 0

Answer:

5

Step-by-step explanation:

This illustrates the Remainder Theorem. If a polynomial f(x) is divided by x−a , the remainder is the constant f(a) , and f(x)=q(x)⋅(x−a)+f(a) , where q(x) is a polynomial with degree one less than the degree of f(x) . Synthetic division is a simpler process for dividing a polynomial by a binomial.

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The mean of five numbers is 15. four of the numbers are 3,19,8, and 32 whats the fifth number
qwelly [4]
Setup Average Equation:
_____________________
Average=Sum of our 4 numbers + unknown number of x
                ____________________________________
                                          Total Numbers
15 = 3 + 19 + 8 + 32 + x
       ______________
                      5
Cross Multiply
___________
3 + 19 + 8 + 32 +  = 15 x 5
x + 62 = 75
Subtract 62 from both sides of the equation to isolate x:
___________________________________________
x + 62 - 62 = 75 - 62
x = 13          
6 0
3 years ago
The region bounded by the given curve is rotated about the specified axis. find the volume v of the resulting solid by any metho
Blababa [14]
x^2+(y-2)^2=4\implies y=2\pm\sqrt{4-x^2}

describes a circle of radius 2 centered at (0,2). A revolution of this region about the y-axis would give you a sphere of radius 2, so the volume would be \dfrac43\pi\times2^3=\dfrac{32}3\pi.
4 0
3 years ago
Factor by grouping <br><br> can someone please help me
Novosadov [1.4K]

Answer:

Re group then do your fraction

Step-by-step explanation:

7 0
3 years ago
When 23 mL of water for injection is added to a drug-lyophilized powder, the resulting concentration is 200,000 units per mL. Wh
givi [52]

Answer:

2 mL

Step-by-step explanation:

Given:

Volume of water for injection = 23 mL

Resulting concentration = 200,000 units per mL

Amount of drug in the vial = 5,000,000 units

Now,

Let the final volume of the solution be 'x' mL

Now, concentration = \frac{\textup{units of the powder}}{\textup{Total volume of the soltuion}}

thus,

200,000 = \frac{\textup{5,000,000}}{\textup{x}}

or

x = 25 mL

also,

Total volume 'x' = volume of water + volume of powder

or

25 mL = 23 + volume of powder

or

Volume of powder = 2 mL

4 0
3 years ago
Among a simple random sample of 331 American adults who do not have a four-year college degree and are not currently enrolled in
sertanlavr [38]

Answer:

<h2><u>A newspaper article states that only a minority of the Americans who decide not to go to college do so because they cannot afford it and uses the point estimate from this survey as evidence. Conduct a hypothesis test to determine if these data provide strong evidence supporting this statement.</u></h2>

Step-by-step explanation:

<h2><u>QUESTION STATISTICS 1. Among a simple random sample of 331 American adults who do not have a four-year college degree and are not currently enrolled in school, 48% said they decided not to go to college because they could not aford to go to schoo</u>l. </h2>

6 0
3 years ago
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