Answer:
x = cuberoot( -9/8)= -1.04004 or x = cuberoot(1/2)=0.7937
Step-by-step explanation:
let y = x^3 + 1
we have:
16*(y) ^2 - 22 (y) - 3 = 0
16 = 2* 8
-3 = -3* 1
8*-3 + 2 = -24 + 2 = -22
Factor as (8y + 1)(2y - 3) = 16 (y)^2 - 22(y) - 3 = 0
so (8y + 1) = 0 or 2y - 3 = 0
y = -1/8 OR y = 3/2
with y = x^3 + 1
solve for x
-1/8 = x^3 + 1
x^3 = - 9/8
x = cuberoot( -9/8)
about x = -1.04004
or 3/2 = x^3 + 1
1/2 = x^3
x = cuberoot( 1/2 ) = 0.7937
Answer:
Step-by-step explanation:
It's an isosceles triangle so it means two sides are equal or better term congruent .
So PR is equal to PQ
You can write
X+1=2x+1
Solve the equation
2x+1-x-1=0
X=0
In order to find PQ plug X in place of 2x+1
To find
QR do the same for its expression .
Answer: Nicole can spend up to 7 hours in the boat.
Step-by-step explanation:
Based on the information given in the question, the possible number of hours that can be used will be calculated as thus:
(6 × t) - 9 ≤ 33
6t - 9 ≤ 33
Collect like terms
6t ≤ 33 + 9
6t ≤ 42
Divide both side by the coefficient of t
6t/6 ≤ 42/6
t ≤ 7
Nicole can spend up to 7 hours in the boat.
Answer:
x=-3+7y
Step-by-step explanation:
add 7y to both sides then divide by 6 to get x by itself,you end up with x=-3+7y
Answer:
= 1
Step-by-step explanation:
You have to calculate the following limit:

To solve the previous limit, you can factor x from numerator and denominator of the function, and use the fact that c/∞ = 0 with c a constant.

Hence, the limit is 1, L = 1