Answer:
2x -7
2x 4x² -14x
-1 -2x +7
Step-by-step explanation:
4x²-16x+7 factors as
(2x-7)(2x-1)
So the grid would be:
2x -7
2x 4x² -14x
-1 -2x +7
Answer: (x+8)(x+2) = x^2 + 10x + 16
Answer:
Number of nickels = 5
Number of dimes = 10
Number of quarters = 8
Step-by-step explanation:
Fernando has a total of nickels + dimes + quarters = 3.25$
Let the number of nickels = x
Then x(.05) + dimes(.10) + quarters(0.25) = 3.25------(1)
He has twice as many dimes as nickels
dimes = 2×nickels
dimes = 2x--------(2)
He has 3 more quarters than nickels
quarters = nickels +3
quarters = x +3------(3)
From equations 1, 2, and 3.
x(.05) + 2x(.10) + (x + 3)(.25) = 3.25
.05x + 0.2x + 0.25x + .75 = 3.25
5x + 20x + 25x + 75 = 325
50x = 325 - 75
50x = 250
x = 5
Therefore the number of nickels are 5
from equation 2 number of dimes are 10
and from equation 3 number of quarters are 8.
A thing characteristic of its kind or illustrating a general rule
Answer:
(- 2, - 9 )
Step-by-step explanation:
The axis of symmetry passes through the vertex of the parabola.
Thus the x- coordinate of the vertex is x = - 2
To find y substitute x = - 2 into f(x)
f(- 2) = (- 2)² + 4(- 2) - 5 = 4 - 8 - 5 = - 9
Vertex = (- 2, - 9 )
