MATHEMATICS HIGH SCHOOL

which of the following best describes the relationship between (x+1) and the polynomial -3x^3-2x^2+1 a) (x+1) is a factor b) (x+1) is not a factor c) it is impossible to tell whether (x+1) is a factor

Answers

Answer 1

Answer:

Answer:

I will solve this problem by factor theorem.

If , (x+1) is a factor of the polynomial , $f(x)=-3 x^3-2 x^2 +1$ then ,if we substitute,x= -1 in f(x), then, f(-1)=0.

Now,

$f(-1)= -3* (-1)^3-2 * (-1)^2+1\n\n f(-1)=-3 * (-1)-2 * 1+1\n\n f(-1)=3 -2+1\n\n f(-1)=2$

As, f(-1)≠ 0

Option B: (x+1) is not a factor of the polynomial , $f(x)=-3 x^3-2 x^2 +1$ .

Answer 2

Answer: Hello,

3x^3+2x²-1=(x-1)(3x²-x+1)+2
remainder is 2
(x+1) is not a factor of 3x^3+2x²-1 nor of -(3x^3+2x²-1)= -3x²-2x²+1.

Answer B

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Which of the following quadratic regression equations best fits the data shown below?

Answers

Answer:

Step-by-step explanation:

In order to do this, you have to know how to use your calculator's regression equation function.

First enter in the data. Hit "stat" then 1:Edit and enter all the x values into L1. After each value, hit enter. When you're done with the x list, arrow over to L2 and enter in all the y-values. If there are already values there you need to clear, arrow up to highlight L1, hit "clear", then "enter" and the values will disappear. Do that for both lists if you need to.

After the data is listed in L1 and L2, hit "stat" again and arrow over to "Calc". Hit 5:QuadReg. If you have a TI 83, your equation will be there for you. If you have a TI 84, you'll need to arrow down to "calculate" to get the equation. Regardless, the equation is

$y=3.48x^2+1.22x+3.44$ , the last choice in your options.

Answer: D

Becasye I got it from him

Which sum or difference identity would you use to verify that cos (180° - q) = -cos q?

Answers

Answer:

$\cos (a-b)=\cos a \cos b+\sin a \sin b$

Step-by-step explanation:

Given : $\cos (180^(\circ)-q)=-\cos q$

We have to write which identity we will use to prove the given statement.

Consider $\cos (180^(\circ)-q)=-\cos q$

Take left hand side of given expression $\cos (180^(\circ)-q)$

We know

$\cos (a-b)=\cos a \cos b+\sin a \sin b$

Comparing , we get, a= 180° and b = q

Substitute , we get,

$\cos (180^(\circ)-q)=\cos 180^(\circ) \cos (q)+\sin q \sin 180^(\circ)$

Also, we know $\sin 180^(\circ)=0$ and $\cos 180^(\circ)=-1$

Substitute, we get,

$\cos (180^(\circ)-q)=-1\cdot \cos (q)+\sin q \cdot 0$

Simplify , we get,

$\cos (180^(\circ)-q)=-\cos (q)$

Hence, use difference identity to prove the given result.

cos (180° - q) = -cos q
First you would use the sum and difference formula of
cos(a – b) = cos(a)cos(b) + sin(a)sin(b) because you have a difference inside the parentheses for cosine.

Hope this helps.

15 is 30% of what number?7 is what percent of 105?
10% of what number is 14?
What percent of 32 is 4?
And finally.. 1% of what number is 11?
Thanks

Answers

#1---> let the number you are trying to find be x for the following questions

30%*x=15
x=15/30%
x=50

#2
10%*x=14
x=14/10%
x=140

#3
(4/32)*100
is the same as (1/8)*100= 12.5%

#4
1%* x=11
x=11/1%
x=1100

by the way * means multiply

This is the most frequently occuring element in a set

Answers

The most frequently occurring element in a set of values is called the mode.
Hope that helped =)

What do you add to 3 7/8 to make 7

Answers

If you would like to know how much do you have to add to 3 7/8 to get 7, you can calculate this using the following steps:

3 7/8 = 31/8

7 - 3 7/8 = 7 - 31/8 = 56/8 - 31/8 = 25/8 = 3 1/8

The correct result is 3 1/8 or 25/8.

To make it to 7 you have to convert mixed fraction to improper fraction and then to decimal..

3 7/8 = 45 / 8 = 5.625
after this you can subtract 7 from 5.625
i.e. 7 - 5.625 = 1.375

So if you add 1.375 with 5.625 you will get 7
i.e. 1.375 + 5.625 = 7

Payments of $27.50 are made monthly for a period of 36 months, and the amount financed is $835. What is the APR using the formula above?

Answers

The monthly payment for loans with no fees is expressed by a formula. The monthly payment equation is expressed as:

P = (P° x r x (1+r)^N) / ((1+r)^N -1)

where P is the monthly payment, P° is the loan amount, r is the APR, N is the number of monthly payments

We substitute the values and manipulate where one side contains the unknown term r.

27.50/835 = ( r x (1+r)^36) / ((1+r)^36 -1)

Using some functions in the calculator we obtain,

r = 9.51 x 10^-3

Thus, the problem above has an APR of 0.95% monthly.

Answer:

Step-by-step explanation:

y = payments per year = 12

c = total interest paid = (36 * 27.50) - 835

m = amount financed = 835

n = total number of payments = 36

It is just a matter of finding the definitions and implementing them.

I get 12.0281484 for the exact result.

so 12 would most likely be the best answer for this.

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