Select the ordered pairs that represents a solution to the functions below. F(x)= - x^2 +5.F(x)=x^2+5.
1 answer:
Answer:
(0,5)
Step-by-step explanation:
(1) y = -x² + 5
(2) y = x² + 5
2y =10 Added (1) and (2)
(3) y = 5 Divided each side by 2
5 = x² + 5 Substituted (3)into (2)
0 = x² Subtracted 5 from each side
x = 0 Took the square root of each side
The only ordered pair that represents a solution to both functions is (0, 5).
The graph of the second function is an upward-opening parabola (y = x²) translated up five units.
The graph of the first function is a downward-opening parabola (y = -x²) translated up five units.
The two graphs meet at their common vertex, (0, 5).
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The function g(x) has a greater slope and the function f(x) has a greater y-intercept
<h3>How to compare the slopes?</h3>
The function is given as:
Function f(x)
x f(x)
-1 -6
0 -3
1 0
g(x) = 4x - 5
The slope of f(x) is calculated using:
This gives
Evaluate
m = 3
By the general format of a linear equation, the slope of the function g(x) is:
m = 4
4 is greater than 3
Hence, the function g(x) has a greater slope
<h3>How to compare the y-intercepts?</h3>This is when x = 0
For the function f(x), we have:
f(0) = -3
For the function g(x), we have:
g(0) = 5-
-3 is greater than -5
Hence, the function f(x) has a greater y-intercept
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Answer:
Answer:
460% of free time is spent on internet and games .
Step-by-step explanation:
Given as :
The time spent by Gary on internet = 10 hours per week
The time spent by Gary on video games = 13 hours per week
So, Total time spent by Gary = 10 hours per week + 13 hours per week
= 23 hours per week
The free time which Gary have = 5 hours
Now, percentage of free time spent on internet and games = x %
So, x % of 5 = 23
or, x % =
∴ x% = 4.6
I.e x = 460 %
Hence 460% of free time is spent on internet and games . Answer