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Lady_Fox [76]
2 years ago
8

After 8 examinations, Kacey's average was 55. Her next result increased her average to 60. What was the next score?

Mathematics
1 answer:
Yuki888 [10]2 years ago
5 0

Answer:

65

Step-by-step explanation:

they're going by 5s every time her score increases. hope I helped (:

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Let R1 and R2 are the remainders when the polynomials x^3 + 2x^2 − 5ax − 7 and x^3 + ax^2 − 12x + 6 are divided by x + 1 and x −
Andru [333]

Answer:

2.44

Step-by-step explanation:

Given: x³ + 2x² - 5ax - 7      and  x³ + ax² - 12x + 6

Also, R1 + R2 = 6

in order to find the value of a:

Let p(x) = x³ + 2x² - 5ax - 7 and q(x) = x³ + ax² - 12x + 6

Using remainder theorem i.e if a polynomial p(x) is divisible by polynomial of form x - a then remainder is given by p(a).

Then,

R1 = p( -1 ) = (-1)³ + 2(-1)² - 5a(-1) - 7 = -1 + 2 + 5a - 7 = 5a - 6

R2 = q( 2 ) = 2³ + a(2)² - 12(2) + 6 = 8 + 4a - 24 + 6 = 4a - 10

Now,

R1 + R2 = 6

5a - 6 + 4a - 10 = 6

9a = 22

a=2.44

Therefore, Value of a is 2.44

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3 years ago
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2 years ago
Which number is NOT in the solution set of x + 8 &gt; 15?<br> A)6<br> B)8<br> C)10 <br> D•12
katovenus [111]

Good evening

Answer:

A) 6

Step-by-step explanation:

Firstly, the solution set to the inequality is : x > 7

Because, x + 8 > 15 ⇌ x > 15 - 8 ⇌ x > 7

Hence

The only number that is NOT in the solution set is 6

________________________________________

:)

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