Answer: D) The base is e^(-1)
We use the rule that x^(-k) = 1/(x^k). That allows us to say e^(-1) = 1/(e^1) = 1/e
The 1/e is the base of the exponential (1/e)^x
In general, the exponential b^x has base b.
Answer:
y = -0.5(x - 4)^2 + 5.
y = -0.5x^2 + 4x - 3.
Step-by-step explanation:
The vertex is at (4, 5). so we have:
f(x) = a(x - 4)^2 + 5
When x = 0 y = -3 so substituting in the above:
- 3 = a(0-4)^2 + 5
-8 = 16a
a = -0.5.
So the vertex form is y = -0.5(x - 4)^2 + 5.
Standard form:
y = -0.5(x^2 - 8x + 16) + 5
y = -0.5x^2 + 4x - 8 + 5
y = -0.5x^2 + 4x - 3.
Answer:
I think you forgot a pic
Step-by-step explanation:
either add it in a comment or make a new question
Answer:
Use the graphing calculator to graph the system of equations and find the solution where x is the total hats sold and y is the total t-shirts sold.
x + y = 152,
8.5x + 12y = 1,656
How many hats were sold?
hats
Step-by-step explanation:
Answer:
He can make 3 batches of soup.
Step-by-step explanation:
Starting with 10 pounds of tomatoes and taking out the number of pounds he sets aside for spaghetti sauce, 2.8, we have:
10-2.8 = 7.2 pounds left.
0.2 is read as "two tenths," so 7.2 = 7 2/10
We divide this remaining number of pounds by 2 2/5 for each batch of soup:
7 2/10 ÷ 2 2/5
Convert each to an improper fraction:
72/10 ÷ 12/5
Multiply by the reciprocal:
72/10 × 5/12 = 360/120 = 3
