The table of values represents a function f(x).
1 answer:
Answer:
The average rate of change over the interval [9,10] is greater than that over the interval [5,8] by 6490.
Step-by-step explanation:
The value of f(x) = 4052 for x = 9 and f(x) = 11014 for x = 10.
Therefore, the average rate of change of f(x) with respect to x over the interval [9,10] is given by
=
=
Now, the value of f(x) = 75 for x = 5 and f(x) = 1491 for x = 8.
Therefore, the average rate of change of f(x) with respect to x over the interval [5,8] is given by
=
=
Therefore, the average rate of change over the interval [9,10] is greater than that over the interval [5,8] by (6962 - 472) = 6490. (Answer)
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Answer:
B. y=3(x-1)2 + 3
Step-by-step explanation:
Given that
vertex of the parabola is at the point (1,3)
let's verify, if the option B is the correct equation of the parabola.
comparing to standard equationof parabola (standard quadratic equation), we get
to find the vertex we use formula for x- coordinate as
to find y put x=1 in the Eq1, we get
vertex =(x,y) = (1, 3)
thus vertex of the parabola from the equation y=3(x-1)2 + 3 is (1,3), thus verified
The answer is 6.75, I hope this helped
Answer:
She purchased the item at a price of Rs 1,406.
Step-by-step explanation:
5% of discount:
This means that she paid 100% - 5% = 95% = 0.95 of the original price of x, that is, 0.95x, and 0.05x was the discount.
Original price:
She got the discount amount of Rs 74.
74 is 5% of the original price, that is:
What price she purchased:
74 subtracted from the original price, that is, x - 74. So 1480 - 74 = 1406.
She purchased the item at a price of Rs 1,406.
Options were missing in the question;
A water cup is shaped like a cone. It has a diameter of 3 inches and a slant height of 5 inches. About how many square inches of paper do you need to make a cup? Use 3.14 to approximate pi.
24 square inches
31 square inches
47 square inches
52 square inches
Answer:
24 square inches
Step-by-step explanation:
Given:
Diameter = 3 in
So we can say that;
Radius is half of diameter.
radius (r) =
Slant height (l) = 5 in
We need to find how many square inches of paper do you need to make a cup.
Solution:
Now according to question we required to find the amount of paper used to make cup.
Also Water cup is shaped liked cone.
Hence we can say that the base of cone is not covered since it will remain open.
So we will use Lateral surface area of the cone to find the paper requirement.
Now we know that;
Lateral surface area of cone is equal to π times radius times slant height.
framing in equation form we get;
Hence We can say that 24 square inches of paper will be needed to make the cup.