4,000
I know this because 2,000 • 2 = 4,000
Answer:
2z+14
Step-by-step explanation:
you multiply
4*z =4z
4*2 =8
and then you multiply
2*3=6
2*-z=-2z
the answer is 2z+14
Answer:
The dividend is 360, divisor is 6 and quotient is 60.
Step-by-step explanation:
Factors of 3= 3*1
Factors of 18= 3*2*3
Factors of 60= 3*2*2*5
Taking LCM= 3*2*2*2*3*5= 360
60 is a factor of 360
The dividend is 360
If 360 is divided by 6 we get 60 which is a multiple of 3
and 6 is a factor of 18.
Therefore the dividend is 360 divisor is 6 and quotient is 60.
Answer:
Half the age of Carlos four years ago is 2 years more than one-third his current age.
Step-by-step explanation:
We want to write a word problem for the equation.

Let x represent the present age of Carlos.
Four years ago, Carlos was x-4 years.
Half his age four years ago is ½(x-4)
Two years more than one-third his current age is ⅓x+2
answer:

Step-by-step explanation:
On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).
now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is
, where (p,q) is the turning point. now we substitute the turning point
, now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.
0 = a(3.15 - 0.76)^2 + 57
-57 =a(2.39)^2
-57 = a(5.7121)
-57/5.7121 =a
-9.9788169 = a then we substitute a to get the quadratic equation therefore f is
