Answer:
Therefore Josie drove 57.5 miles.
Step-by-step explanation:
Speed: The ratio of distance to time.
To find the distance we use the following formula
Given that Josie drove 45 minutes at 70 miles per hour.
In 45 minutes, she traveled = 
=52.5 miles.
The she drove 15 minutes at 20 mile per hour.
In 15 minutes, she traveled 
=5 miles
Therefore Josie drove (52.5+5) miles= 57.5 miles.
First number = X
second number = x +26 ( exceeds means higher so add 26)
x + x+26 = 58
combine like terms:
2x + 26 = 58
subtract 26 from each side:
2x = 58-26
2x = 32
divide both sides by 2:
x = 32/2
x = 16
first number is 16
second number = 16+26 = 42
Answer:
Step-by-step explanation:
The first parabola has vertex (-1, 0) and y-intercept (0, 1).
We plug these values into the given vertex form equation of a parabola:
y - k = a(x - h)^2 becomes
y - 0 = a(x + 1)^2
Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:
1 = a(0 + 1)^2, and from this we know that a = 1. Thus, the equation of the first parabola is
y = (x + 1)^2
Second parabola: We follow essentially the same approach. Identify the vertex and the two horizontal intercepts. They are:
vertex: (1, 4)
x-intercepts: (-1, 0) and (3, 0)
Subbing these values into y - k = a(x - h)^2, we obtain:
0 - 4 = a(3 - 1)^2, or
-4 = a(2)². This yields a = -1.
Then the desired equation of the parabola is
y - 4 = -(x - 1)^2
Average speed = total distance/ total time
210.6/1.3= 162
<em><u>The inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet above the ground is:</u></em>
<em><u>Solution:</u></em>
<em><u>The object falls, its distance, d, above the ground after t seconds, is given by the formula:</u></em>
To find the time interval in which the object is at a height greater than 300 ft
Frame a inequality,
Solve the inequality
Subtract 1000 from both sides
Time cannot be negative
Therefore,
t < 6.61
And the inequality used is: 
