Answer:
g(-3) = -27
Step-by-step explanation:
g(x) = -2x² + 3x ---> g(-3)
g(-3) = -2<u>(-3)²</u> + 3(-3)
g(-3) = <u>-2(9)</u> + <u>3(-3)</u>
g(-3) = <u>-18 - 9</u>
g(-3) = -27
Hope this helps, thank you :) !!
Let's call the three numbers x, y, and z.
The numbers are 3, 12, and 5.
x + y + z = 20
y = 4x
x + z = 8
We can rewrite the first equation because y is 4x, so
x + 4x + z = 20
5x + z = 20
And now we can use simultaneous equation rules to solve
5x + z = 20
x + z = 8
5x + z = 20
5x + 5z = 40
(subtract)
-4z + -20
÷ -4
z = 5
x + z = 8
x + 5 = 8
x = 3
y = 4x
y = 4 × 3
y = 12
I hope this helps!
10:10
11:11
Those are 2 ratios that are correct
Answer:
Use 49 ounces of the 14% allow and 41 ounces of the 23% alloy.
Step-by-step explanation:
Each ounce of the 14% copper contains 0.14 ounce of pure copper.
Each ounce of the 23% copper contains 0.23 ounce of pure copper.
Each ounce of the 18.1% copper contains 0.181 ounce of pure copper.
Use x ounces of the 14% and y ounces of the 23% to make 90 ounces of 18.1% alloy.
x+y = 90
y = 90-x
0.14x + 0.23y = 0.181·90
0.14x + 0.23(90-x) = 16.29
0.14x + 20.7 - 0.23x = 16.29
-0.09x + 20.7 = 16.29
4.41 = 0.09x
x = 49
y = 90-x = 41
Use 49 ounces of the 14% allow and 41 ounces of the 23% alloy.
To find the inverse of a function, we make the independent variable the subject of the formula.
Thus, the inverse of the given function is evaluated as follows.
From the work show, it can be seen that Talib's work is correct.
