Answer:
x = 1/3
Step-by-step explanation:
f(x) = -3x^2 + 2x-17
This is in the form
ax^2 +bx+c
a = -3 b = 2 c = -17
The axis of symmetry is at
x = -b/2a
x = -2/ (2*-3)
x = -2/-6
x = 1/3
9514 1404 393
Answer:
$7.14
Step-by-step explanation:
Let p, d, q represent the numbers of pennies, dimes, and quarters in the collection, respectively.
p + d + q = 45 . . . . . . . . there are 45 coins in the collection
2p +5 = q . . . . . . . . . . . . 5 more than twice the number of pennies
p + 4 = d . . . . . . . . . . . . . 4 more than the number of pennies
Substituting the last two equations into the first gives ...
p +(p +4) +(2p +5) = 45
4p = 36 . . . . . . . . . . . . . subtract 9
p = 9 . . . . . . . . . . . divide by 4
d = 9 +4 = 13
q = 2(9) +5 = 23
The value of the collection is ...
23(0.25) +13(0.10) +9(0.01) = 5.75 +1.30 +0.09 = 7.14
The coin collection is worth $7.14.
Hi! The answer to that question is B and D cause if you read the promblem it is it!
8x + 16 = 14x
To solve this equation, move everything containing the variable you want to solve for on one side of the equation and everything else to the other side of the equation.
Let's start by subtracting 8x from both sides to have the variable x all on the right side of the equation. Once you subtract 8x from both sides, your equation will now look like this:
16 = 6x
To solve for the variable x, you want to divide both sides of the equation by 6 to isolate x and therefore find your answer. Divide both sides by 6 and your equation should look like this:
16/6 = x
Simplifying 16/6 into a mixed number ⇒ 2 2/3
Your answer is x = 16/6 or 2 2/3.
Ration of minutes of television to commercial is 35:7.8
3 hours and 50 minutes is 230 minutes
230:X
35:7.8
Multiply both sides by 6.6
X=51.5 minutes
There is about 51.5 minutes of commercials