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Vera_Pavlovna [14]
2 years ago
7

TESThttps://student.masteryconnect.com/?iv=Alxn09azl_cyvZFNImj3pQ&tok=2HnpaghCCDpi_smhDxaUY_5r_rqPkPaA3n_nZbF4QeQC2G59l3eC-D

rlaLST9LN4kB3zkbuH_bRvJoI AND THIS IS THE CODE 925591
Mathematics
1 answer:
MrMuchimi2 years ago
8 0

Answer:

?

Step-by-step explanation:

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Use the remainder theorem to find the remainder of 2x^4 + x^2 - 10x -1 divided by x +2.
I am Lyosha [343]

Answer:

The remainder is 55

Step-by-step explanation:

Let

p(x)= 2 {x}^{4}  +  {x}^{2}  - 10x - 1

According to the remainder theorem, if p(x) is divided by x+a, the remainder is p (-a).

The given divisor is x+2, therefore the remainder is given by:

p( - 2)

We substitute x=-2 to get:

p( - 2)= 2 {( - 2)}^{4}  +  {( - 2)}^{2}  - 10( - 2) - 1

We simplify to obtain:

p( - 2)= 2  \times 16 +  4  +  20- 1

We multiply to get:

p( - 2)=3 2  +  4  +  20- 1 = 55

Therefore the remainder is 55

4 0
3 years ago
The hypotenuses of two similar right triangles are segments of the same line. Which of these statements is true about the two hy
nadya68 [22]

Answer:

B

Step-by-step explanation:

The two right triangles are congruent but may have different lengths but they will have the same angles.

The two similar right triangles can have a different hypotenuse length, but the slope will remain the same.

8 0
3 years ago
There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different su
Lelechka [254]

Answer:

1980

We can choose 2 men from 9 in 36 in ways.

We can choose 2 women from 11 in 55 ways.

For any arrangement of 2 men there are 55 ways of combining them with 2 women => 55 * 36 = 1980 total ways.

If you're wondering how i got the numbers i used the combination formula:

C(n, k) = \frac{n!}{k!(n-k)!}

3 0
3 years ago
Find an explicit rule for the nth term of the sequence. 3, -12, 48, -192, ...
Nimfa-mama [501]
Hello,
u_{1}=3
u_{2}=3*(-4)
u_{3}=3*(-4)^2

u_{n}=3*(-4)^{n-1}


6 0
3 years ago
Read 2 more answers
Which of the following is a monomial <br><br>A. 5x^2+2x+3<br>B. √x-1<br>C. 4x<br>D. 3/x​
earnstyle [38]
C. 4x

Have a good day ;)

7 0
3 years ago
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