Answer:
134 kilometers or 83 miles.
Explanation:
First make all the units equivalent, so
60 km/h = 60 km/h or 37.28 m/h
45 m/h = 72.42 km/h or 45 m/h
50 km/h = 50 km/h or 31.07
So in one hour the car has gone 60 km or 37.28 m because they travel at 60km/h, which means they get that far in that amount of time.
In half an hour they get half of 45 miles, because 45 m/h means they get 45 miles in 60 minutes, so in 30 minutes, or half and hour, they are getting half of 45 = 22.5 miles or 36.21 kilometers.
In 45 minutes they are getting 75% of 50 km because 45 minutes is 75% of an hour. So 75% of 50 is 37.5 km or 23.3 miles.
Add this all together and get:
Kilometers:
60 + 36.21 + 37.5 = 133.71 km
Miles:
37.28 + 22.5 + 23.3 = 83.08 m
133.71 km = 83.08 So it checks out.
This is approximately 134 km or 83 miles.
0.2 (y+2) = 0.2y + 0.2(2)
= 0.2y + 0.4
Each employee serves 112,500 customers per month. You can find this by multiplying the 3 values (25, 150, and 30). You multiply them to account for each employee with individual customers on different days.
Answer: 5) Vertex = (2, 28) y-intercept = 40 → (0, 40)
6) Vertex = (2, 11) y-intercept = 7 → (0, 7)
<u>Step-by-step explanation:</u>
The y-intercept of the equation is when x = 0. It is the c-value when given in standard form: y = ax² + bx + c
To find the vertex, use the Axis of Symmetry equation to find the x-value
x = -b/(2a). Then plug the x-value into the equation to find the y-value.
5) y = 3x² - 12x + 40
↓ ↓ ↓
a=3 b= -12 c=40

Min: y = 3(2)² - 12(2) + 40
= 3(4) - 24 + 40
= 12 - 24 + 40
= 28
Vertex: (2, 28) y-intercept = 40
*******************************************************************************************
6) y = -x² + 4x + 7
↓ ↓ ↓
a= -1 b=4 c=7

Max: y = -(2)² + 4(2) + 7
= -(4) + 8 + 7
= -4 + 8 + 7
= 11
Vertex: (2, 11) y-intercept = 7
Answer:
The value of x for the given expression is - 84
Step-by-step explanation:
Given expression as :
(x - 6) -
x = 3
Taking LCM of 3 & 4
So,
= 3
or, 8 x - 48 - 9 x = 12 × 3
Or, 8 x - 9 x = 36 + 48
or, - x = 84
∴ x = - 84
Hence The value of x for the given expression is - 84 Answer