Answer:
Y = -1/14
or
Y = -0.0714
Step-by-step explanation:
Y = -1/4x -2 , x=4
Solution:
Y = -1/4x -2 .........equation(a)
put x = 4 in equation(a)
Y = -1/4(4) -2
Y = -1/16 -2
Y = -1/14
Y = -0.0714
The correct answer is C.
14%p can be written as 0.14p, since 14%=14/100=0.14.
Adding this to p means paying 100% of p plus an additional 14%. This would be equivalent to paying sales tax on a purchase.
Answer:
The company needs to sell either 30 or 40 items.
Step-by-step explanation:
We are given that the cost for selling <em>x</em> items given by the function:

And the revenue for selling <em>x</em> items is given by:

The profit function is the cost function subtracted from the revenue function:

Substitute and simplify:

To find how many items must be sold in order to obtain a weekly profit of $300, we can let <em>P</em> equal 300 and solve for <em>x</em>. So:

Solve for <em>x</em>. Subtract 300 from both sides:

We can divide both sides by -0.4:

Factor:

Zero Product Property:

Solve for each case:

So, in order to obtain a weekly profit of $300, the company need to sell either 30 <em>or</em> 40 items.
Answer:
x=4
Step-by-step explanation:
Remove the parentheses and turn the 4-2x and make it into 4+2x candle the equal term -4 and should be left with x+6=2+2x then move the variable to the left and change the sign so it would be x-2x=2-6 and collect like terms so it would be -x=2-6 and then calculate that and get -x= -4
(sorry its alot)
Answer:
The correct option D.
Step-by-step explanation:
The given function is

Where f(d) is the height of the ball at horizontal distance d.
Put f(d)=0, to find the distance where the ball touch the ground.

Quadratic formula:

Using the quadratic formula we get


Therefore the ball is in air between d=-0.146 to d=9.146.
The distance can not be negative, therefore the ball remains in the air between d=0 to d=9.146.

Therefore the correct option is D.