It's simple,
f(x)=x^2+2
is the formula that you start with
you are then given f(x). f(4x)
you then plug in 4x
4x=(4x)^2+2
you then solve for x
4x=16x+2
-16x. -16x
-12x=2
÷-12. ÷-12
x=0.16 is your answer
Let
x-->volume of white vinegar you need to add to the mixture (measured in cups)
<span>then
the amount of the pure vinegar in the mixture will be -----> (10*0.1 + x) cups
t</span>he volume of liquid will be ---------> 10 + x
the concentration equation is-------> [(10*0.1 + x)/(10+x)]=0.50<span>multiply both sides by (10+x) and then simplify
</span>(10*0.1 + x)=(10+x)*0.50-----------> 1+x=5+0.50x-------> 0.50x=4
x=8
the answer is
<span>you need to add 8 of a cup of the pure vinegar to the mixture</span>
Jaqleen unloads a truck in x hours and Marco takes 2x hours.
Working together (x*2x) / (x+2x) = 5 hours
2x^2 / 3x = 5 Multiplying both sides by 3x equals 2x^2 -15x = 0
x = 7.5 hours
So Jaqleen takes 7.5 hours and Marco takes 15 hours
Double-Check (7.5 * 15) / (7.5 + 15) = 112.5 / 22.5 equals
5 hours Correct!!
O+6-2O=-8
subtract 6 from both sides
the equation is then O-2O=-14
combine like terms on the left side
the equation is then -O=-14
divide by -1
final answer is O=14
Answer:
x=45 degrees
Step-by-step explanation:
You can see based off of the markings on the 2 sides, that it is an isosceles triangle, so that means the 2 base angles are equal.
so 2x+90=180 degrees
so 2x=90 degrees
x=45