Answer:
13,610
Step-by-step explanation:
You add 1691 + 1852 + 3113 + 3411 + 3543 = 13,610
Answer: (2x – 7) (3x^3 – 2x – 5)
SOLVINGS
Given the polynomial f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case,
The Leading Coefficient is 6
The Trailing Constant is -35.
Factors of the Leading Coefficient are 1, 2, 3 and 6
Factors of the Trailing Constant are 1, 5, 7, and 35
Testing for the rational roots,
If P= 7 and Q = 2
P/Q = 3.5
F (P/Q) = 0.00
Using the Factor Theorem; which states that if P/Q is root of a polynomial then this polynomial can be divided by Q.x – PTherefore, the polynomial 6x^4 – 21x^3 – 4x^2 + 24x – 35 is divisible by 2x –
7
Factorizing 2x – 7
Divide the polynomial into two groups (6x^4 – 21x^3 and – 4x^2 + 24x – 35)
Factorizing Group 1
6x^4 – 21x^3 divided by 2x – 7 = 3x^3
∴ 6x^4 – 21x^3 = 3x^3 (2x – 7) ….. (Group 1)
Factorizing Group 2
– 4x^2 + 24x – 35 divided by 2x – 7 = -2x+5
∴ 4x^2 + 24x – 35 = (-2x+5)(2x – 7) ….. (Group 2)
Bringing together Groups 1 and 2
6x^4 – 21x^3 – 4x^2 + 24x – 35 = (2x – 7) (3x^3 – 2x – 5)
Y = (x-4)(x+20) ===> 0 = (x-4)(x+20)
that means the roots of that quadratic are x = 4 and x = -20.
now, the vertex will be between these two guys, right in between.
from -20 to 4 there are 24 units, half-way of that is 12 units, so, if we move from -20, 12 units to the right or towards 4, we'll end up at -20 + 12 = -8.
so, the vertex's x-coordinate is -8 then, what's "y" anyway?
y = (x-4)(x+20) x = -8
y = [(-8) - 4] [(-8) + 20]
y = (-12) ( 12)
y = -144
therefore, the vertex is at (-8 , -144)
Answer:
C : 850 Red Beads
Step-by-step explanation:
you do 7500/150 which is 50.
you times 17 by 50 since you know in every 150 beads 17 are reds so you get 850 red beads and you times 150 by 50 and get 7500 so in 7500 you get 850 red beads.
ʕ•ᴥ•ʔ
Answer:
1004.8 in³
Step-by-step explanation:
d = 2r => r = d/2 = 16in/2 = 8 inches
V = Ab×h
= π·r²×h
= 3.14·(8in)²×5in
= 1004
