Carl bought 19 apples of 2 different varieties to make a pie.The total cost of the apple was $5.10.Granny Smith apples cost $0.2
1 answer:
For this case we propose a system of equations:
x: Let the variable representing the quantity of Granny Smith apples
y: Let the variable representing the number of Gala apples
According to the statement we have:
From the first equation we have to:
replacing in the second equation:
So, Carl bought 7 Gala apples
On the other hand:
So, Carl bought 12 Granny Smith apples
Answer:
Carl bought 7 Gala apples and 12 Granny Smith apples
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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.
Answer:
Positive discriminant = 2 real solution
x= -5,-40
Step-by-step explanation:
The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.
The discriminant is the part of the quadratic formula inside the square root:
Every quadratic formula has the structure:
So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:
Our a=1, b=45 and c=200
Now we can substitute these values into the discriminant:
Solve:
The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:
(Same discriminant value)
Now to find the two solutions, we use both signs in the equation. Solution 1:
Our first solution is -5, now for the second:
The two solution to this equation are -5 and -40.
Hope this helped!