Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.For any value of x, g(x) will always be greater than h(x).
For any value of x, h(x) will always be greater than g(x).
g(x) > h(x) for x = -1.
g(x) < h(x) for x = 3.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).
Answers
1st and 2nd options are out
for x=-1
g(-1)=1
h(-1)=-1
3rd is true
4th
false
for all values except zero, g(x)>h(x)
correct ones are
g(x) > h(x) for x = -1.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).
Answer: g(x) > h(x) for x = -1.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).
Step-by-step explanation:
Given functions: and
When x=0, and
∴ at x=0, g(x)=h(0)
Therefore the statements "For any value of x, g(x) will always be greater than h(x)." and "For any value of x, h(x) will always be greater than g(x)." are not true.
When x=-1, and
∴g(x) > h(x) for x = -1. ......................(1)
When x=3, and
∴ g(x) > h(x) for x = 3....................(2)
⇒g(x) < h(x) for x = 3. is not true.
From (1) and (2),
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).
Related Questions
Samuel earns $5 per hour plus 65% commission on all his sales. If y representshis sales for one day, which expression represents Samuel’s total earnings for aday when he worked 6 hours?A. 5(6) + 65yB. 5(65) + 6yC. 5(6) + 0.65yD. 5(6) + 1.65y
A line has slope –5(over)3 . Through which two points could this line pass? (1 point)(12, 13), (17, 10) (16, 15), (13, 10) (0, 7), (3, 10) (11, 13), (8, 18)
When your expenses are more than your income, you have _____.A . assetsB.excess expenseC. a surplusD.a deficit
The width of a rectangle is two-thirds of its length, and its area is 216 square meters. What is the length? is it 27 or 12
Fall League Soccer & Year
Year & # of Participants
Answers
Answers
Answers
We want to use a coordinate plane to find the area of the given rectangle.
We will see that the area is 36 units squared.
So we only know the vertices of the rectangle, which are:
- (-4, 9)
- (-4, -3)
- (-1, -3)
- (-1, 9).
The first thing we can do, is graph these in a coordinate axis so we can see our rectangle.
Below you can see the graph of the rectangle where the four vertices are graphed and I drew the sides of the rectangle.
Now that it is graphed is easy to see the measures of each side, one side measures 3 units (from -1 to -4 on the x-value) and the other side measures 12 units (from -3 to 9 on the y-value)
Then the area of the rectangle is:
A = 3*12 = 36 square units.
If you want to learn more about rectangles and areas, you can read:
the formula for area of a rectangle is
Area = length x width
since both the length and the width of the rectangle lie on the same x and y axis, we can find the distance between the width and the distance between the length by subtracting
(-4,9) (-4,-3)
these points lie on the same x axis, so they create a vertical line
9-(-3) = 12
12 units is the distance between them
(-4,-3) (-1,-3)
these points lie on the same y axis, so they create a horizontal line
-1-(-4) = 3
3 units is the distance between them
now that we have the length and the width, we can find the area
A = 12 x 3
A = 36 units²
Answers
Answer:
B
Step-by-step explanation:
the range is the y-values
Answers
Answer:
C i believe so
Step-by-step explanation:
Answer:
2b + 7
Step-by-step explanation:
i took the test and got it right
Answers
her walking speed is then "2a"
and her friend's scooter speed is 10 a
let's also call the distance you need to walk "d"
so the time (t)you need is:
d/t=a
t=d/a
and her time is:
t=
(half a distance with the speed of 2a and half a distance (d/2) with the distance of 10 a
now we count (we know that her time is 30 minutes)
30=
600a=
600a=6d/divide by 6
100a=d
Now, in order to calculate your time we need to calculate:
t=d/a
but we know how much is d now!
t=
which means that you need 100 minutes, or 1 h 40 minutes!!!