Answer:
b. (8,1)
d. (-2,-6)
Step-by-step explanation:
Given:
We check for a. (1,-3).
:False
We check for b. (8,1).
:True
We check for c. (3,2).
:False
We check for d. (-2,-6).
:True
We check for e. (2,3).
:False
We check for f. (1,8).
:False
Answer:
Step-by-step explanation:
So we have the function:
And we know that f(2)=7 and we want to find k.
So, substitute 2 for y and 7 for f(y). Thus:
Evaluate the square:
Subtract:
Add 1 to both sides:
Divide both sides by -2:
So, the value of k is -4.
And we're done!
Answer:
She can spend a maximum of $2763.
Step-by-step explanation:
The credit card works as there can be a negative balance in the card. For example if Sally has a shortage of money and she is in need of some, she can take money from her credit card and then repay it later.
<u>Here Sally already has $763 in her hand and her credit card can have a balance of maximum $2000. </u>
So Sally can spend $763 which she already has in her hand and then spend a maximum of $2000 using her credit card.
So she can spend a maximum of $2673
A^2 - 4a + 4
hope this helps!
Answer:
- y-intercept: 58
- vertex: (2, 78) -- a maximum
Step-by-step explanation:
The negative leading coefficient tells you this parabola opens downward, so the vertex will be a maximum. The constant is the y-intercept, which is 58.
__
The vertex is nicely found using a graphing calculator, but can also be found algebraically. The x-value is ...
x = -b/(2a) = -19.8/(2·(-4.9)) = 19.8/9.8 = 99/49 ≈ 2.02041
The value of f(99/49) is ...
f(99/49) = (-4.9(99/49) +19.8)(99/49) +58 = (9.9)(99/49) +58 ≈ 78.002
The location of the vertex is approximately ...
(x, y) ≈ (2.0204, 78.002) ≈ (2, 78)