In this problem, we need to plug in the given x values for

and find a and b.
When we plug in 1, we get:

Simplify:



We got our first statement about the values of the variables. If we find one more we can find those 2 variables.
We have another given root: 4.
Plug it in:




Now we have our second one. We can combine them:

I use elimination method which is easier here.
Multiply the top equation by -1:

Add them up:

Simplify:

Now we have a, we can plug in one of those equations to find b:



So, the answers are

and

.
The distance between city C and city D is 450 miles.
<u>Solution:</u>
Given, The distance between City A and City B is 250 miles.
A length of 2.3 feet represents this distance on a certain wall map.
City C and City D are 4.14 feet apart on this map.
We have to find what is the actual distance between City C and City D?
Now, distance between a and b is 250 miles ⇒ 2.3 feet on map
Then, distance between c and d be n miles ⇒ 4.14 feet on map.
Now, by chris cross method.
250 x 4.14 = 2.3 x n miles.
2.3n = 1035
n = 450
Hence, the distance between city C and city D is 450 miles.
For an amount of sales of $5,000, the two salary choice will be equal
Let the amount of sales be $x
The 3% she will receive will be;

We add this to the base salary and equate to the former monthy salary
We have this as;
Y= 3.4. If you divide 37.4 by 11 then y would equal 3.4. Check by multiplying 3.4 by 11
32,870 is the answer. Hope this helps!