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mamaluj [8]
2 years ago
6

Which statement is true about this equation?

Mathematics
1 answer:
Vlad [161]2 years ago
4 0

Answer:

D

Step-by-step explanation:

-9x-27+12 = -6x-15-3x

0=0

D) the equation has infinitely many solutions

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Please help me I don't understand what his claim is
Marysya12 [62]
Harry’s claim is not true because there are 20 ounces in his water bottle and he needs to drink a total of 64 ounces of water. Harry only drank 60 ounces because he filled his water bottle 3 times and 20 times 3 equals 60, there fore he is 4 ounces short of his recommended water intake.
7 0
3 years ago
I WILL GIVE BRAINLIEST IF YOU CAN ANSWER THESE TWO QUESTIONS!!!!
marissa [1.9K]

Answer:

2. Eunju is right

3. x^2+5x+6 is a factor of x^4+5x^3+2x^2-20x-24.

Step-by-step explanation:

<u>Polynomial Remainder Theorem</u>

The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).

As a consequence, if a polynomial is divisible by x-a, f(a)=0.

Part 1:

Let's make:

f(x)=(x+b)^3+(x+c)^2-(b-c)

To find out if x+b is a factor of f(x), we find f(-b):

f(-b)=(-b+b)^3+(-b+c)^2-(b-c)

Operating:

f(-b)=(-b+c)^2-(b-c)

The value of f(-b) is not zero. This means Eunju is right, x+b is not a factor of f(x).

Part 2:

We must find out if x^2+5x+6 is a factor of x^4+5x^3+2x^2-20x-24 without using long division or synthetic division.

We can use the polynomial remainder theorem again, but since the factor is not in the form (x-a), we can factor it as follows:

x^2+5x+6 =(x+2)(x+3)

Now we just apply the theorem twice. If both remainders are zero, then the assumption is true.

Let's make:

f(x)=x^4+5x^3+2x^2-20x-24

Find f(-2):

f(-2)=(-2)^4+5(-2)^3+2(-2)^2-20(-2)-24

f(-2)=16-5*8+2*4+40-24 =16-40+8+40-24=0

Find f(-3):

f(-3)=(-3)^4+5(-3)^3+2(-3)^2-20(-3)-24

f(-3)=81-5*27+2*9+60-24

f(-3)=81-135+18+60-24 =0

Since both f(-2) and f(-3) are zero, x^2+5x+6 is a factor of x^4+5x^3+2x^2-20x-24.

5 0
2 years ago
PLEASE HELP <br> f(x) = x2. What is g(x)?
NNADVOKAT [17]

Answer: Choice C.  g(x) = (3x)^2

To confirm this, plug in x = 1 and you'll find that:

g(x) = (3x)^2

g(1) = (3*1)^2

g(1) = (3)^2

g(1) = 3*3

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4 0
2 years ago
What is the average rate of change for f(x)?<br><br> Enter your answer as a fraction
Mashutka [201]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
(SAT Prep) How many distinct triangles are for which the lengths of the sides are 5,9 and n, where n is an integer and 10
Nana76 [90]
The answer is C because you can have a triangle with 5,9,n   5,10,n   9,10,n   and 5,10,9

The reason why is because the sum of two sides is always larger than the value of the third side.

I hope that this helps.

7 0
2 years ago
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