Answer
Let x = the number of ounces of Solution A
Let y = the number of ounces of Solution B
x + y = 180 y = 180 - x
.60x + .85y = .75(180)
.60x + .85y = 135 Multiply both sides of the equation by 100 to remove the decimal points.
60x + 85y = 13500
60x + 85(180 - x) = 13500
60x + 15300 - 85x = 13500
-25x = -1800
x = 72ounces
y = 180 - 72
y = 108 ounces
Let the money the publisher can spend be x:
x ≥ 980 000-824 000
x ≥ $156 000
or
x ≤ 1 249 000-824 000
x ≤ $466 000
$466 000≤ x ≤$156 000
Therefore the money he can spend is between $156000~$466000.
Hope it helps!
12 and the exponent would be 144
Hope this helped :)
Answer:
is that all the questions
Step-by-step explanation:
if you can show the both it will help full
Answer:
Step-by-step explanation:
For a function to have a y-intercept of -1, means that
when x = 0, f(0) = -1.
we must look for which of the options meets this condition.
I will number the options as follows:
when x = 0:
Note: , so
function 1 meets the condition for the y-intercept.
when x = 0
function 2 also meets the condition for the y-intercept.
when x = 0
Note:
function 3 also meets the condition for the y-intercept.
when x = 0
function 4 does not meet the condition for the y-intercept, so we discard it.
We are left with the 3 first functions as options. Now we consiser that the amplited must be 2.
The amplitude in an oscillatory function like these is the number that accompanies the sine or the cosine:
f(x) = ±Asin(x) or
f(x) = ±Acos(x)
so out of the option we have to consider, only the second function has a number 2 next to the sine function:
this function will have a y-intercept of -1 and an amplitude of 2 (because the sine has a number 2 next to it)