Answer:
4x² -29x +51
Step-by-step explanation:
Put x-3 where x is in the original function definition, then "simplify". I think you'll find it convenient to rewrite the original function definition first.
... g(x) = 4x² -5x = x(4x -5)
Substituting, we have
... g(x-3) = (x -3)(4(x -3) -5)
... = (x -3)(4x -17) . . . . . simplify right factor
... = 4x² -12x -17x +51
... g(x -3) = 4x² -29x +51
Answer:
859
Step-by-step explanation:
The demand for Coke products varies inversely as the price of Cole products.
Mathematically:
D α 1/p
Where D = demand, p = price of coke product
D = k/p
Where k = constant of proportionality.
Let us find k.
k = D * p
When Demand, D, is 1250, price, p, is $2.75:
=> k = 1250 * 2.75
k = $3437.5
Now, when price, p, is $4, the demand will be:
D = 3437.5/4
D = 859.375 = 859 (rounding to whole number)
The demand for the product is 859 when the price is $4.
The student weighs 108.8 pounds on saturn. 85x2.34=198.9 -90.1 = 108.8
Answer: <u>110 feet per second</u>
Step-by-step explanation:
In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.
Now we can calculate the speed of the trains in feet per second so:
So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:
Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.
Answer:
12 quarters 23 dimes
Step-by-step explanation:
x(0.25)+(2x-1)(0.10)=5.30
0.25x+0.2x-0.10=5.30
0.45x=5.40
x=12
12 quarters
12(2)=24-1=23 dimes
