Answer:
x = 4.
Step-by-step explanation:
log(x + 6)- log(x - 3) = 1
Using the law log a - log b = log a/b:
log (x + 6)/ (x - 3) = 1
Removing logs:
(x + 6)/ (x - 3) = 10
x+ 6 = 10x - 30
9x = 36
x = 4 (answer).
Answer:
x*8 + y*14 ≥ 20
Step-by-step explanation:
We know that:
A batch of brownies makes 8 servings.
A pie makes 14 servings.
He wants to make, at least, 20 servings.
Then if he makes x batches of brownies, he will get x times 8 servings.
If he makes y pies, he will get y times 14 servings.
Adding that, he will get a total of:
x*8 + y*14 servings
And because he wants to make at least 20 servings (he can make 20 or more)
The inequality will be:
x*8 + y*14 ≥ 20
Where the "≥" symbol means that the expression at the left is greater than or equal to the expression of the right
80 students would prefer chocolate ice cream over vanilla. 50x.20=20 studentsx4=80 students
IF X+Y=15. AND y=2x-3.
X + 2X - 3 = 15.
6 + 2 (6) - 3 =15
6 + 12 -3 = 15
18 -3 = 15
Solve for X.
WOO!
X=6 :D
Now try to see if anything else can be X.
Answer:
f(x) = -x^2 +8x -16
Step-by-step explanation:
With the given data, we can write the factored function as ...
f(x) = -1(x -4)^2 . . . . . -1 is the leading coefficient; exponent of 2 gives root multiplicity
f(x) = -x^2 +8x -16