Answer:
10.05
Step-by-step explanation:
9.99+9.99+9.99+14.99+14.99
=59.95
70-59.95
=10.05
Hi.
Please note that I haven't done much algebra.
4 more = 4 +
Twice as many than the runner up means 2 times the amount they ate (a variable) = 2n
So far we have 4 + 2n
Since it's an equation, we are going to know what it equals. In the problem, we find out that it's 11. So the equation looks like this:
4 + 2n = 11
If this didn't work out, please let me know.
~
I believe n = 3.5
Answer:
See Below.
Step-by-step explanation:
Problem 1)
We want to simplify:

First, let's factor the denominators of each term. For the second term, we can use the difference of two squares. Hence:

Now, create a common denominator. To do this, we can multiply the first term by (<em>a</em> + 1) and the second term by (<em>a</em> + 2). Hence:

Add the fractions:

Factor:

Simplify:

We can expand. Therefore:

Problem 2)
We want to simplify:

Again, let's create a common denominator. First, let's factor out a negative from the second term:

Now to create a common denominator, we can multiply the first term by (<em>a</em> - <em>c</em>) and the second term by (<em>a</em> - <em>b</em>). Hence:

Subtract the fractions:

Distribute and simplify:

Cancel. Hence:

Answer:

Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
<u>1) Determine the slope (m)</u>
where two points that fall on the line are
and 
Plug in the given points (2,-5) and (8,-2)

Therefore, the slope of the line is
. Plug this into
:

<u>2) Determine the y-intercept (b)</u>

Plug in one of the given points and solve for b

Subtract 1 from both sides to isolate b

Therefore, the y-intercept of the line is -6. Plug this back into
:

I hope this helps!