The correct answer is is D) If the group sells 15 prints they will loose $85.
To figure out which statement is true, we have to evaluate the function ,
for all the values given in options (A)-(D). A negative output represents a loss and a positive output will represent a profit.
In A
so
. In this case we gather that if they sell 12 prints, they will make a loss of $136. This tells us that option A is wrong.
In B,
so
. In this case we gather that if they sell 28 prints, they make a profit of $136. This tells us that option B is wrong.
In C,
so
. In this case we gather that if they sell 35 prints, they make a profit of $225. This tells us that option C is wrong.
Lastly,
so
. In this case we gather that if they sell 28 prints, they make a loss of 85 dollars. From this we gather that D is the correct option.
If you factor the equation you can see what the solutions are. Two factor a quadratic of the form ax^2+bx+c, find two values which satisfy two conditions...
jk=ac=-15 and j+k=b=-2 so j and k must be -5 and 3 so the factors are:
(x-5)(x+3)
So the other solution is x=5
Answer:
<em>p = ± q / 5r + 8; Option D</em>
Step-by-step explanation:
We are given the following equation; q^2 / p^2 - 16p + 64 = 25r^2;
q^2 / p^2 - 16p + 64 = 25r^2 ⇒ Let us factor p^2 - 16p + 64, as such,
p^2 - 16p + 64,
( p )^2 - 2 * ( p ) * ( 8 ) + ( 8 )^2,
( p - 8 )^2 ⇒ Now let us substitute this into the equation q^2 / p^2 - 16p + 64 = 25r^2 in replacement of p^2 - 16p + 64,
q^2 / ( p - 8 )^2 = 25r^2 ⇒ multiply either side by ( p - 8 )^2,
q^2 = 25r^2 * ( ( p - 8 )^2 ) ⇒ divide either side by 25r^2,
q^2 / 25r^2 = ( p - 8 )^2 ⇒ Now apply square root on either side,
| p - 8 | = √( q^2 / 25r^2 ) ⇒ Simplify,
| p - 8 | = q / 5r,
| p | = q / 5r + 8,
<em>Answer; p = ± q / 5r + 8; Option D</em>
Answer:
320
Step-by-step explanation:
First, convert the percent into a fraction.
250/3*100 = 250/300 = 5/6
5/6 of 384 is 5 * 64 = 320
Since 5=15/3
5^x = (15/3)^x = 15^x / 3^3
Choices A and D