Answer:
Step-by-step explanation:
The distance is always positive and is same as the absolute value of subtraction of the two numbers on the line.
<u>This can be shown as:</u>
- |-3/2 - 6| =
- |-1.5 - 6| =
- |-7.5| =
- 7.5
or
- | 6 - (-3/2)| =
- |6 + 1.5| =
- |7.5| =
- 7.5
Question 1)
Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
F(G(x)) = 3(2x - 3)^2 + 1
F(G(x)) =3(4x^2 - 12x + 9) + 1
F(G(x)) = 12x^2 - 36x + 27 + 1
F(G(x)) =12x^2 - 36x + 28
Question 2)
Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
H -1 (x) = x (inverse)
Answer:
61.61
Step-by-step explanation:
In the expression now that we know the value of x and y, we can replace it with its values. So it would look like this.... 43.37 + 18.24. This equals 61.61.
Hope this helps!
Answer:
Her usual rate is 0.8333 miles per hour.
Step-by-step explanation:
The velocity formula is given by:

In which d is the distance and t is the time.
She completed the first half of the walk 1 mi/h faster than usual
Her usual rate is v. 1mph faster is v + 1.
The second half of the walk 2 mi/h slower than the first half.
The first half is v + 1.
2mph slower is v + 1 - 2 = v - 1. Then
Total rate:
7.2 hours, and 6 miles. So
One half is v+1 and the other is v - 1. This is why each is multiplied by 0.5.



Her usual rate is 0.8333 miles per hour.