Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
y ≥ 5
Step-by-step explanation:
Distribute
2y - 2 = 8
+2. +2
2y/2 = 10/2
y = 5
The easist way to find the vertex is to complete the square:
y=2x^2 +11x-6 => <span>y=2[ x^2 + (11/2)x + (11/2)^2 - (11/2)^2 ] - 6
This can be rewritten as
y = 2[(x+11/2)^2 ] -(121/4) - 24/4
y = 2 (x+11/2)^2 - 145/4
this is the equation in vertex form. The vertex is at (-11/2, -145/4).</span>
Answer:
i = 4.68698 % to five decimal places.
Step-by-step explanation:
Let
i = annual rate of return
t = number of years = 4
using the compound interest formula,
12382500 = 10309500 (1+i)^4
rearrange
(1+i)^4 = 12382500 / 10309500
take log on both sides,
4log(1+i) = log(12382500 / 10309500)
solve for i
log(1+i) = (1/4)log(12382500 / 10309500)
1+i = e^((1/4)log(12382500 / 10309500))
i = e^((1/4)log(12382500 / 10309500)) -1
i = 0.0468698287401117
Answer:
original (7,-4)
Final (7,2)
Step-by-step explanation:
I'm not 100% positive considering I haven't done this type of work in a long time.
Answer:
10. (5, 6)
11. (1, 2)
12. (7, 8)
13. (10, 11)
14. (27, 28)
15. (11, 12)
Step-by-step explanation:
If you're not familiar with the squares of small integers, your calculator can help you figure this.
10. √28 ≈ 5.291 . . . . between 5 and 6
11. √3 ≈ 1.732 . . . . between 1 and 2
12. √59 ≈ 7.681 . . . . between 7 and 8
13. √115 ≈ 10.724 . . . between 10 and 11
14. √772 ≈ 27.785 . . . . between 27 and 28
15. √140 ≈ 11.832 . . . . between 11 and 12
