Answer:
Step-by-step explanation:
Let the speed of the car is c and speed of the plane is p.
<h3>We are given:</h3>
The speed of the plane is 7 times the speed of the car
The distance traveled is
The time difference to travel this same distance is 3 hours.
<h3>We know that:</h3>
- d = ts, where d- distance, t- time, s - speed
Find the time for car and plane and their difference.
<h3>Car</h3>
<h3 /><h3>Plane</h3>
- t = d/s = 315/p = 315/(7c) = 35/c
<h3 /><h3>The difference</h3>
<u>Solve it for c:</u>
- (315 - 45)/c = 3
- 270/c = 3
- c = 270/3
- c = 90 km/h
Now find the speed of plane:
As we see, Jenny is right
Answer:
3,-3) becomes ; (3 + 5 , -3-12) ; (8,-15)
(7,-10) becomes;( 7 + 5, -10-12) ; (12,-22)
(13,-14) becomes (7 + 13, -14-10) ; (20,-24)
Step-by-step explanation:
What we have to do here is to add 5 to the x-axis value and subtract 12 from the y-axis value
(3,-3) becomes ; (3 + 5 , -3-12) ; (8,-15)
(7,-10) becomes;( 7 + 5, -10-12) ; (12,-22)
(13,-14) becomes (7 + 13, -14-10) ; (20,-24)
<h3>Given</h3>
... f(x) = x² -4x +1
<h3>Find</h3>
... a) f(-8)
... b) f(x+9)
... c) f(-x)
<h3>Solution</h3>
In each case, put the function argument where x is, then simplify.
a) f(-8) = (-8)² -4(-8) +1 = 64 +32 + 1 = 97
b) f(x+9) = (x+9)² -4(x+9) +1
... = x² +18x +81 -4x -36 +1
... f(x+9) = x² +14x +46
c) f(-x) = (-x)² -4(-x) +1
... f(-x) = x² +4x +1
Answer:
Graph number 1
Step-by-step explanation:
According to the equation the y-intercept is 2. The only graph with the y-intercept of (0,2) is the first graph. So, graph number 1 represents the function.
Answer:
D, supplementary, BC, D
Step-by-step explanation: