What is the solution to -59>9v-5
1 answer:
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Answer:
E
Step-by-step explanation:
Let's let c denote the amount of cashews and let's let p denote the amount of peanuts.
So, the owner wants to mix cashews worth $5.50 per pound with peanuts worth $2.30 per pound to get a 1/2 pound mixture that is worth $2.80 per pound.
In other words, the total pounds as an equation is:
Also, the price would be:
Since we mixed the peanuts and cashews, our sum would be 2.8(p+c).
And we already determined that p+c is 0.5. Thus, substitute:
Simplify:
Now, we can solve the system of equations. Isolate a variable from the very first equation:
Subtract p from both sides:
Now, substitute this into the equation earlier:
Distribute:
Combine like terms:
Subtract both sides by 2.75:
Divide everything by -3.2:
Now, find c:
Substitute:
Subtract:
Thus, the owner would need 0.08 pounds of cashews and 0.42 pounds of peanuts.
Our answer is E.
Since you need the vertex, and knowing the vertex will tell you the axis of symmetry, it is convenient to put the equation in vertex form.
.. -x^2 -4x +1
.. = -(x^2 +4x) +1
.. = -(x^2 +4x +(4/2)^2) +1 -(-(4/2)^2) . . . . complete the square
.. = -(x +2)^2 +5
The vertex is (-2, 5).
The axis of symmetry is x = -2.
.. -x^2 -4x +1
.. = -(x^2 +4x) +1
.. = -(x^2 +4x +(4/2)^2) +1 -(-(4/2)^2) . . . . complete the square
.. = -(x +2)^2 +5
The vertex is (-2, 5).
The axis of symmetry is x = -2.