6.51 - 9.32h = 1.02
9.32h = 6.51 - 1.02 = 5.49
h = 5.49/9.32 = 0.589
Part 1: Answer:
(x+1)(x+1)(x-6) = x^3 - 4x^2 - 11x - 6
Step-by-step explanation:
To make r a root, include (x-r) as a factor. (-1+1)(-1+1)(-1-6) is zero even though (-1-6) isn't.
(6+1)(6+1)(6-6) is zero.
Part 2 Answer:
Standard form: y = -x^4 + 12
Degree 4
left end goes down, right end goes down.
Step by step: apply the definitions of standard form, polynomial degree, and "end behavior". In other words, read the textbook.
Part 3: Answer: x = 3, x = 8
Step by step:
x^2-11x = -24
x^2-11x+24 = 0
(x-3)(x-8) = 0
x = 3 or x = 8
Part 4a Answer:
quotient 2x^2 + x - 3
remainder 1
Step by step:
2x^2 + x - 3
___________________
x-4 ) 2x^3 - 7x^2 - 7x + 13
2x^3 - 8x^2
__________
0 + x^2 - 7x + 13
x^2 - 4x
____________
0 - 3x + 13
- 3x + 12
______
1
Part 4b answer:
quotient 2x^2 - 6x + 2
remainder -20
Step by step: you have to know exactly what you are doing. Refer to textbook or Wikipedia.
dividend 2x^3 +14x^2 - 58x
divisor x+10
leading coefficient of divisor must be 1
write coefficients of dividend at top
write coefficients of dividend at left
| 2 14 -58 0
-10 | -20 60 -20
___________
| 2 -6 2 -20
Coefficients of quotient are 2 -6 2
Remainder is -20
quotient = 2x^2 - 6x + 2
Answer:
Therefore after 3 years the height of these tree will be same.
Step-by-step explanation:
Given that,
Type A is 2 feet tall and grows at a rate of 17 inches.
Type B is 10 feet tall and is growing at a rate of 5 inches.
1 feet = 12 inches,
2 feet= (12×2) inches = 24 inches
5 feet= (12×5) inches = 60 inches
Let after t years, the height of these tree will be same.
After t years, the height of type A is =(24+17t)
After t years, the height of type B is =(60+5t)
According to the problem,
24+17t=60+5t
⇒17t-5t=60-24
⇒12t = 36
⇒t = 
⇒t=3
Therefore after 3 years the height of these tree will be same.
To answer this, we need to first find the rate and the multiply it by 3. 840/12 = 70 miles per hour. Then multiply it by 3. 70*3=210 miles. Another way we can do it is that we can divide 840 by 4 because 12 hours / 4 = 3 hours. 840/4 = 210 miles.
Answer:
h(-8)=-18
Step-by-step explanation:
h(n)= 2n - 2
h(-8)= 2(-8) -2
h(-8)= -16-2
h(-8)=-18
