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Galina-37 [17]
3 years ago
13

10) Jackson’s scores on the first four algebra quizzes are 79, 88, 95, and 71. What score must he earn on the fifth quiz to earn

an average quiz score of 85?
Mathematics
1 answer:
Hoochie [10]3 years ago
5 0
Based on the given information, let x represent the grade for the fifth quiz.

(79+88+95+71+x)/5=85
(333+x)/5=85
333+x=425
x=92

Jackson would have to earn a 92 on his fifth quiz to earn an average of 85.
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Use the ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the second.
Vanyuwa [196]

The quotient and remainder when the first polynomial is divided by the second are -4w^2 - 7w - 21 and -71 respectively

<h3>How to determine the quotient and remainder when the first polynomial is divided by the second?</h3>

The polynomials are given as:

-4w^3 + 5w^2 - 8, w - 3

Set the divisor to 0.

So, we have

w - 3 = 0

Add 3 to both sides

w = 3

Substitute w = 3 in -4w^3 + 5w^2 - 8 to determine the remainder

-4(3)^3 + 5(3)^2 - 8

Evaluate the expression

-71

This means that the remainder when -4w^3 + 5w^2 - 8 is divided by w - 3 is -71

The quotient (Q) is calculated as follows:

Q = [-4w^3 + 5w^2 - 8]/[w - 3]

The numerator can be expressed as follows:

Numerator = -4w^3 + 5w^2 - 8

Subtract the remainder.

So, we have:

Numerator = -4w^3 + 5w^2 - 8 + 71

This gives

Numerator = -4w^3 + 5w^2 + 61

So, the quotient becomes

Q = [-4w^3 + 5w^2 + 61]/[w - 3]

Expand

Q = [(w - 3)(-4w^2 - 7w - 21)]/[w - 3]

Evaluate

Q = -4w^2 - 7w - 21

Hence, the quotient and remainder when the first polynomial is divided by the second are -4w^2 - 7w - 21 and -71 respectively

Read more about polynomials at:

brainly.com/question/4142886

#SPJ1

6 0
1 year ago
Solve for x<br> Your answer must be simplified.<br> x + 5 &lt;_4
Solnce55 [7]
X greater then or equal to -1
3 0
3 years ago
Read 2 more answers
What is the remainder when (3x4 + 2x3 − x2 + 2x − 19) ÷ (x + 2)?<br><br> 0<br> 5<br> 10<br> 15
Elanso [62]

Answer:  Second option is correct.

Explanation:

Since we have given that

f(x)=3x^4+2x^3-x^2+2x-19

And g(x)=x+2

To find the remainder, we use the Remainder Theorem, which states that when f(x) is divided by (x-c) then the f(c) is the required remainder.

So,

Here, we have,

x+2=0\\\\x=-2

So, we will find f(-2) which will give us the required remainder,

f(-2)=3(-2)^4+2(-2)^3-(-2)^2+2(-2)-19\\\\f(-2)=(3\times 16)-(2\times 8)- 4-4-19\\\\f(-2)=48-16-36-4-19\\\\f(-2)=5

Hence, Second option is correct.

7 0
3 years ago
The linear combination method is applied to a system of equations as shown. 4(.25x + .5y = 3.75) → x + 2y = 15 (4x – 8y = 12) →
Ket [755]

Answer:

x+2y=12-------(1)

x-2y=3---------(2)

Adding equations 1 and 2

we get

2x=18

x=9

Equation 1

9+2y=15

2y=15-9

2y=6

y=3

The solution of the given system is x=9, y=3

Step-by-step explanation

6 0
3 years ago
A cocktail nut mix should have the following minimum requirements in a can of 1 pound being sold at $3.99 a can at retail stores
Misha Larkins [42]

Answer:

Nut

Step-by-step explanation:

6 0
2 years ago
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