Answer:
The generator will run for 6 hours.
Step-by-step explanation:
First, find the volume of the gas tank that is on the generator. I am told that the gas tank is a rectangular prism that has the dimensions of 20 cm, 15 cm, and 10cm.
Area of any prism = height * width * length
Area of prism = 20 cm * 15 cm * 10 cm = 3,000 cm cubed
I am told the important info that <u>1,000 cm cubed = 1 liter </u>
Therefore, 3,000 cm cubed = 3 liters
I am also told that the generator will run for 2 hours on 1 liter of gas
Lets make a ratio table:
Hours the generator will run for : liters of gas
2 : 1
6 : 3
the generator will run for 6 hours.
W=14 that’s because 360-80=280 then you have to divide that by 20. And you get 14 weeks.
Answer:
c. y = -35*x + 105
Step-by-step explanation:
Lo que demos hacer es calcular los puntos cuando x = 0 y cuando x = 3, es decir el inicio y el fin del recorrido.
Cuando x es igual 0, y = 105, por lo tanto, la función sería:
y = A*x + 105
Cuando x = 3, y = 0, por lo tanto:
0 = 3*A + 105
resolvemos para A:
3*A = -105
A = -105/3
A = -35
Por lo tanto la función es:
y = -35*x + 105
es decir, la opción c.
f(x) = x^2 + 6x - 7
y = x^2 + 6x - 7
y = (x - 1)(x + 7)
x + 7 = 0
x = -7
x - 1 = 0
x = 1
The x-intercepts are -7 and 1.
Since the leading coefficient is a positive, the graph will point upwards.
So, the graph of the function is D.
Answer:
K(8, 4)
Step-by-step explanation:
Given:
M(2, 1), P(12, 6)
MK:KP = 3:2
Required:
Coordinates of K
SOLUTION:
Coordinates of K can be determined using the formula below:


Where,



Plug in the necessary values to find the coordinates of K:










The coordinates of K = (8, 4)