Answer:
gives the solution
.
gives the solution
.
Step-by-step explanation:
I will solve both interpretations.
If we assume the equation is
, then the following is the process:

Add 5 on both sides:

Simplify:

Now write an equivalent logarithm form:


Now using the change of base:
.
If we assume the equation is
, then we use the following process:

Write an equivalent logarithm form:


Add 5 on both sides:

Use change of base formula:

Complete Questions:
<em>Create an equation with a solution closest to 0 using digits 1 to 9
</em>
<em>_x + _ = _x + _</em>
<em></em>
Answer:
See Explanation
Step-by-step explanation:
Given
_x + _ = _x + _
Required
Fill in the gap using 1 to 9 to give a result close to 0
First, you have to determine what kind of numbers that are close to 0;
In this case, I'll work with -0.4 to 0.4 because the number in this range approximate to 0;
Next, is to fill in the gaps using trial by error method
5x + 2 = 2x + 3
Checking the above expression
<em>Collect Like Terms</em>
<em></em>
<em></em>

Divide equation by 2
<em>(Approximated)</em>
Another trial is
6x + 8 = 2x + 7
Checking the above expression
<em>Collect Like Terms</em>
<em></em>
<em></em>

Divide equation by 4
<em>(Approximated)</em>
<em>I'll stop here but note that, there are more expressions that can fill in the gaps</em>
MrBillDoesMath!
Discussion:
For every value of x, g(x) = f(x) -1 meaning that the y-value of g(x) is 1 less than the corresponding y value of f(x). So the graph of g(x) is "below" f(x) or it is translated 1 unit downward from f(x)
MrB
Answer:
1.375 seconds
Step-by-step explanation:
One mile is equivalent to 5280 feet. Throwing at 30 miles an hour is 0.5 miles each minute, or one mile every 120 seconds(Unfortunately for the pitcher, I don't think the ball would make it to home plate). That means it travels 1/120 miles each second, or 44 feet(5280/120). The ball will reach home plate in 1.375 seconds(60.5/44).