If x=-5 is a zero, then the first factor of the polynomial would be (x + 5 )
To find the other two factors we can divide the polynomial by the expression (x+5).
Using synthetic division, we have:
-5 I 4 15 -24 5 (Coefficients of the dividend)
I -20 25 -5 (Multiplying each coefficient by the results of the substraction and adding)
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4 -5 1 0 (Coefficients of the quotient)
The result of the division is 4x^2 - 5x + 1. Factoring it, we have:
4x^2 - 4x -x + 1 (Separating -5x into -x and -4x)
4x (x - 1) - (x -1) (Factoring each pair of terms)
(x-1)(4x-1) (Factoring using the common factor)
So the answer would be:
(x + 5 )(x-1)(4x-1)
Answer:
x=−9 and y=8
Step-by-step explanation:
Let's solve your system by elimination.
2x+3y=6;4x−y=−44
Multiply the first equation by -2,and multiply the second equation by 1.
−2(2x+3y=6)
1(4x−y=−44)
Becomes:
−4x−6y=−12
4x−y=−44
Add these equations to eliminate x:
−7y=−56
Then solve−7y=−56for y:
−7y=−56
-7y/-7 = = -56/-7
(Divide both sides by -7)
y=8
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
2x+3y=6
Substitute8 for y in 2x+3y=6:
2x+(3)(8)=6
2x+24=6(Simplify both sides of the equation)
2x+24+−24=6+−24(Add -24 to both sides)
2x=−18
2x/2 = -18/2 (Divide both sides by 2)
x=−9
<u>Answer:</u>
x=−9 and y=8
Answer:
C: y = 5x + 3.5
Step-by-step explanation:
Another word for rate of change is slope, we can find the slope of the table using the slope formula
m = y2-y1/x2-x1
=6-2/1-0
=4/1
=4
The linear functions written below are in slope-intercept form y = mx + b where m is the slope and b in the y-intercept
So the slopes are 2, 3, 5, and 1, the only slope that is greater than 4 is five so it would be answer C
The volume of the pepperoni is 53240 millimeters
Step-by-step explanation:
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