Answer:
Step-by-step explanation:
First, look at y = log x. The domain is (0, infinity). The graph never touches the vertical axis, but is always to the right of it. A real zero occurs at x = 1, as log 1 = 0 => (1, 0). This point is also the x-intercept of y = log x.
Then look at y = log to the base 4 of x. The domain is (0, infinity). The graph never touches the vertical axis, but is always to the right of it. Again, a real zero occurs at x = 1, as log to the base 4 of 1 = 0 => (1, 0).
Finally, look at y=log to the base 4 of (x-2). The graph is the same as that of y = log to the base 4 of x, EXCEPT that the whole graph is translated 2 units to the right. Thus, the graph crosses the x-axis at (3, 0), which is also the x-intercept.
Answer:
Algebraic grouping symbols parentheses, brackets, braces, radicals, and fraction lines show where a group starts and ends, and help to establish the order used to apply math operations. Terms inside a grouping symbol have to be operated upon before they can be acted upon by anything outside the grouping symbol.
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Answer:
The value of x if the equation is
3x + 4y=65
x = 49/3 or 16.3
&
3x - 4y=65
x= 27
The function is graphed as shown below
Part A:
We use the formula

to find the vertex of the function. A quadratic function of the form of

and equating this form to the given function

, we have

and

.
Substituting

and

into the vertex formula, we have

, as shown in the graph
This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos
Part B:
We can find solution to this equation by factorising





and

, as shown in the graph
The two values means that the company makes no profit when they either produce 5 or 15 photos
Answer: 0.05 cup
Step-by-step explanation:
Divide 2.5 by 10 to find how much is in one of Sarah’s dishes.
This gives you 0.25
Divide 1.6 by 8 to find how much is in one of Amy's dishes.
This gives you 0.2
Now minus 0.2 from 0.25.
This gives you a 0.05 cup
hope this helps