notice, that, pure juice is 100% juice, dohhh, thus 100/100 = 1.00
50% is 50/100 or 0.50 in decimal format
so..... whatever those two quantities amount to, that is, the 50% and pure juice, or (4)(0.50) + (x)(1.00)
they will equal the mixture desired 60% juice, or 0.60, namely (4+x)(0.60)
thus (4)(0.50) + (x)(1.00) = (4+x)(0.60)
solve for "x"
Divide sales tax amount over the item's cost
23.1 / 330 = 0.07
Therefore the sales tax is 7%
The function has a maximum at (1, 3).
_____
You know it is not a minimum because the coefficient of the squared term is negative.
You know the vertex is (1, 3) because you match the pattern to
.. y = a(x -h)^2 +k
which has its vertex at (h, k).
Answer:
To solve the system of equations by substitution:
<u>2x+y=-2</u>
<u>3x-y=7</u>
first solve for y:
2x+y=-2
y=-2x-2
Then plug ^^ equation for y in the other equation
3x-(-2x-2)=7
5x+2=7
5x=5
x=1
Then solve for y:
2(1)+y=-2
y=-4
Final answer is x = 1 and y = -4
Hope it helps!
Step-by-step explanation:
In this question as two straight lines intersect each other
we use vertically opposite angle axiom
so 74 degree = 2x.
then x= 74/2= 37degree
