Answer:
Part 19) x=5
Part 20) x=-3
Step-by-step explanation:
Problem 19) Find the value of x so that f(x)=7
step 1
Find the intersection point of the given line in the graph with the line y=7
The intersection point is (5,7)
see the attached figure
therefore
The x-coordinate of the intersection point is the value of x when f(x)=7
x=5
f(5)=7
Problem 20) Find the value of x so that f(x)=7
step 1
Find the intersection point of the given line in the graph with the line y=7
The intersection point is (-3,7)
see the attached figure
therefore
The x-coordinate of the intersection point is the value of x when f(x)=7
x=-3
f(-3)=7
Answer: 21 1/8 kilogram
Step-by-step explanation:
From the question, we are informed that Chef bought 3 3/4 kilograms of apples 7 1/4 kilograms of pears and 10 1/8 kilograms of oranges. The total kilogram of fruits bought would be:
= 3 3/4 + 7 1/4 + 10 1/8
Note that the Lowest Common Multiple is 8.
= 3 6/8 + 7 2/8 + 10 1/8
= 20 9/8
= 21 1/8 kilogram
Answer:
25 and 54
Step-by-step explanation:
(a)
6z² - 2z + 5 ← substitute z = 2
= 6(2)² - 2(2) + 5
= 6(4) - 4 + 5
= 24 - 4 + 5
= 20 + 5
= 25
(b)
64 - 5z ← substitute z = 2
= 64 - 5(2)
= 64 - 10
= 54
We are asked in this problem to determine the simplified expression of the statement given. The rules that apply in exponential functions is that when an exponential term is raised to the power of an integer, the simplified term has a degree that is equal to the product of the integers involved. The operations involved should be applicable to terms with the same base number only. In this problem, we thus write:
2^3/4 / 2^1/2 = 2^3/4 * 2^-1/2 = = 2^(3/4 - 1/2) = 2^ 1/4. hence the answer is 2^0.25 or simply equal to 1.1892 determined using a calculator.
Check the picture below.
A)
well, we start off by making a table of values for the function, with a few "t" values, as you see in the picture, then graph those points to get the graph.
B)
at t = 0, h(0) = 98, and at t = 1, h(1) = 82, so it went from 98 to 82, for a difference of 16.
C)
at t = 1, h(1) = 82, and at t = 2 h(2) = 34, so it went from 82 to 34, for a difference of 48.
does it fall the same distance on both intervals? well, they're different, so nope.