Answer:
19% alcohol solution = 65 ounces
37% alcohol solution = 25 ounces
Step-by-step explanation:
Let
19% alcohol solution = x
37% alcohol solution = y
x + y = 90 (1)
0.19x + 0.37y = 90*0.24
0.19x + 0.37y = 21.60 (2)
from (1)
x = 90 - y
Substitute into (2)
0.19x + 0.37y = 21.60
0.19(90-y) + 0.37y = 21.60
17.1 - 0.19y + 0.37y = 21.60
- 0.19y + 0.37y = 21.60 - 17.1
0.18y = 4.5
y = 4.5/0.18
y = 25 ounces
x + y = 90 (1)
x + 25 = 90
x = 90 - 25
x = 65 ounces
Answer:
- A. The function g(x) is a translation of f(x) = √x.
- C. The function g(x) has a range of {y | y > –1}.
- E. The function g(x) can be translated right 3 units and up 1 unit to create the function f(x) = √x
Explanation:
The function f(x) = √x has been translated 3 units to the left and 1 unit down to make g(x). That means translating g(x) 3 units right and 1 unit up will make f(x). (matches choices A and E)
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The range of the function is the vertical extent, all y-values ≥ -1. (matches choice C)
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The translated function is ...
g(x) = f(x+3) -1 = √(x +3) -1 . . . . . does not match choice D
__
The domain of the function is the horizontal extent, all x-values ≥ -3. (does not match choice B)
Answer:
x=16
Step-by-step explanation:
Answer:
The correct option is A.
Step-by-step explanation:
Let the vertices of the triangle be ABC.
Draw a perpendicular on AC from B. The height of triangle is represented by the altitude from B.
Area of the triangle is
Therefore option A is correct.
First do the parentheses:
16/4+56-8
Then divide:
4+56-8
Then add and subtract from left to right:
60-8
52
Hope this helps.
