Answer:
plain = $10.50
pepperoni = $12.50
Step-by-step explanation:
x = pepperoni
y = plain
3x + 2y = 58.5
2x + 4y = 67
using substitution method, I multiplied the first system by -2 to get:
-6x - 4y = -117
+ 2x + 4y = 67
-4x = -50
x = $12.50
2(12.5) + 4y = 67
25 + 4y = 67
4y = 42
y = $10.50
Answer:
E. 18 children are buying their lunches
F. Rock must pay $50 each month
Step-by-step explanation:
E.
To find a percentage you multiply the number by the percentage;
60 x 70%(0.70) = 42 children brought their lunches
But we need the amount <u>buying</u> their lunches so we would subtract 60 by 42;
60 - 42 = 18 buying their lunches
F.
Again, to find the percentage we multiply it by the original;
$800 x $25(0.25) = $200 Rock paid for the down payment on the sofa
Now we need to find how much Rock still needs to pay for the sofa;
$800 - $200 = $600 more needed to pay for the sofa
Lastly, we must find how much Rock will need to pay <u>each month</u> to pay the rest of the $600. There are 12 months in a year, so we divide that by the amount left;
$600 / 12 = $50 needs to be paid each month for a year
Blue triangle is 1/4, the green triangle is 3/2, and red is 2/8
F -1(x) = 4x
If you supply 3 for the function of F so f(3) = 4x then 4 x 3 = 12
The inverse would be
One way to work out an inverse function is to reverse the operations that f carries out on a
number. Here is a simple example. We shall set f(x) = 4x, so that f takes a number x and
multiplies it by 4:
f(x) = 4x (multiply by 4).
We want to define a function that will take 4 times x, and send it back to x. This is the same
as saying that f
−1
(x) divides x by 4. So
f
−1
(x) = 1
4
x (divide by 4).
There is an important point about notation here. You should notice that f
−1
(x) does not mean
1/f(x). For this example, 1/f(x) would be 1/4x with the x in the denominator, and that is not
the same as 1
4
x.
