Answer:
h(x) = x/2 - 1/2
Step-by-step explanation:
Here's the procedure for finding the inverse function algebraically:
1. Replace the label 'f(x)' with the label 'y:' y = 2x + 1
2. Interchange x and y: x = 2y + 1
3. Solve the resulting equation for y: 2y = x - 1, or y = (1/2)(x - 1) or y = x/2 - 1/2
This result corresponds to the 1st given possible answer choice.
The desired inverse function is h(x) = x/2 - 1/2
1)
a.
60 ounces = 3 pounds
So no, you don’t have as much fruit as you need.
b.
60 ounces —> 3 pounds
X ounces —> 4 pounds
Cross product :
(60 x 4) / 3 —> 240/3 = 80
So in order to have 4 pounds of fruits, you need 80 ounces of fruits.
You already have 60 ounces of fruits.
X + 60 = 80
80 - 60 = X
20 = X
You need 20 more ounces to have 4 pounds of fruits.
:)
So base on your question that ask to provide and end point of the four statement you give:
1.Endpoint(-1,9), midpoint:(-9,-10) - (-17, -29)
2.Endpoint(2,5), midpoint(5,1) - (4,5)
3.Endpoint(9,-10), midpoint(4,8) - i cant determine sorry
4.Find the point that is one-fourth of the way from (2,4) to (10,8) - also i cant.
Answer:
Options (2), (4) and (6)
Step-by-step explanation:
Given system of equations is,
f(x) = x² - 5x + 7
g(x) = 2x + 1
By equating both the functions,
f(x) = g(x)
x²- 5x + 7 = 2x + 1
x² - 5x - 2x + 7 - 1 = 0
x² - 7x + 6 = 0
x² - 6x - x + 6 = 0
x(x - 6) - 1(x - 6) = 0
(x - 1)(x - 6) = 0
x = 1, 6
For x = 1,
g(x) = 2x + 1
g(1) = 2(1) + 1
= 3
For x = 6,
g(6) = 2(6) + 1
= 13
Common points (solutions) of both the functions 'f' and 'g' are (1, 3) and (6, 13).
Both the solutions lie in quadrant 1.
x-coordinate of the solution (1, 3) is x = 1.
y-coordinate of the solution (1, 3) is y = 3.
Therefore, options (2), (4) and (6) are the correct options.
Answer:
an opinion or conclusion formed on the basis of incomplete information.
Step-by-step explanation:
comment how it helps
