Answer: x = {-4, -1, 2}
<u>Step-by-step explanation:</u>
q p
F(x) = x³ + 3x² - 6x - 8
Possible rational roots are: +/- {1, 2, 4, 8}
F(1) = (1)³ + 3(1)² - 6(1) - 8
= 1 + 3 - 6 - 8
= -10 <em>Since the remainder is not 0, then x = 1 is not a root</em>
F(-1) = (-1)³ + 3(-1)² - 6(-1) - 8
= -1 + 3 + 6 - 8
= 0 <em>Since the remainder is 0, x = -1 is a root.</em>
Use synthetic division to find the remaining factor:
x = -1 → x + 1 = 0
-1 | 1 3 -6 -8
<u>| ↓ -1 -2 8 </u>
1 2 -8 0
(x + 1)(x² + 2x - 8) = 0
Next, factor the polynomial:
(x + 1)(x + 4)(x - 2) = 0
x + 1 = 0 x + 4 = 0 x - 2 = 0
x = -1 x = -4 x = 2
Answer:
135°
Step-by-step explanation:
angle x spans throughout two angles, 75° and 60°, so it is the sum of the two. It could not be any of the answers you gave.
Answer:
30 gallons of 6% milk, and 45 gallons of 1% milk.
x=quarts of 6% butterfat
First, write an equation.
0.06x+0.01(75-x)=0.03*75
Multiply both sides by 100.
0.06x*100+0.01*100(75-x)=100*0.03*75
Simplify
6x+75-x=3*75
6x+75-x=225
Solve
5x=225-75=150
5x=150
x=30
75-30=45
So, we need 30 gallons of 6% milk, and 45 gallons of 1% milk.
Step-by-step explanation:
First turn this into an equation
7x+8x+44.4=180
Now collect like terms
15x+44.4=180
Next take away 44.4 from 180
15x=135.6
Finally divide 135.6 by 15
x=9.04
To calculate the shaded angle substitute 9.04 for x
8x=8×9.04
8x=72.32
The shaded angle is 72.32°
Mr. Rawlins graded 11 students' tests with the following results. 88, 76, 81, 92, 95, 65, 77, 86, 90, 88, 83 A box and whisker p
s2008m [1.1K]
Answer:
90
Step-by-step explanation:
min is 65
median is 86
quartile 1 is 77
quartile 3 is 90
max is 95
highest 25% of data resides between quartile 3 and max
