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BabaBlast [244]
3 years ago
8

If a polynomial function f(x) has roots 0, 4, and square root 11, what must also be a root of f(x)?

Mathematics
1 answer:
adell [148]3 years ago
4 0
I'm assuming that there is another root which should be -SQRT(11)
f(x) = x(x-4)(x+SQRT(11))(x-SQRT(11)
Then
f(x) =  x^4 -4x^3 - 11x^2 +44x
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Find the measures of two supplementary angles if their measures are in the given ratio.<br> 3:7
NeTakaya

Two supplementary angles are in the ratio 3:7. Find the angles ?

Let the two angles be 3x and 7x.

Supplementary angles add up to 180 degrees.

Therefore:

3x + 7x = 180

10x = 180

x = 18

3x = 3 * 18 = 54

7x = 7 * 18 = 126

4 0
3 years ago
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Solve the system of equations. y = -5x + 24 y = 4x - 21 a. ( -5, -1) c. ( -1, 5) b. ( 5, -1) d. No solution
Svetlanka [38]

y = -5x + 24

y = 4x - 21

Since both of these equations are equal to Y, theyre equal to each other.

So we can make an equation with y = -5x + 24 in one side and y = 4x - 21 on the other.

-5x + 24 = 4x - 21

Now in order to get the value of x we need to isolate it in one side of the equation. We can do this by subtracting 24 from both sides of the equation:

-5x + 24 - 24 = 4x - 21 - 24

-5x = 4x - 45

Now we subtract 4x from both sides so the 4x shift to the other side

-5x - 4x = 4x - 4x - 45

-9x = -45

Finally divide both sides by -9 so x is by itself

(-9)÷(-9x) = -(45)÷(-9)

x = 5

Since we did all of this to BOTH sides of the equation, both sides are still equal to each other and the equation still is true.

Now apply x = 5 to either of the initial equations to find the value of Y

y = -5x + 24 or y = 4x - 21

(I'll do both but u only need one)

y = -5(5) + 24

y = -25 + 24

y = -1

y = 4(5) - 21

y = 20 - 21

y = -1

Either way, X is 5 and Y is -1

Answer (5, -1)

5 0
3 years ago
Can some one help me pls
Norma-Jean [14]
E. 5/15 since you multiply the numerator and denominator by 5.

D. 2/3 since you divide the numerator and denominator by 3.

W. 15/24 since you multiply the numerator and denominator by 3.

J. 4/5 since you divide the numerator and denominator by 5.

C. 48/54 since you multiply the numerator and denominator by 6.

G. 24/21 since you multiply the numerator and denominator by 3.

T. 27/36 since you multiply the numerator and denominator 3.
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