Expand first and then move all the x terms to one side.
make sure when u are moving the x terms flip the sign AND inequality sign.
Answer:
Please see attached image and all steps below for both parts
Step-by-step explanation:
Task 1
The following system of equations includes a linear equation and a quadratic one:

it can be solved by using substitution in the second equation of the variable "y" by the linear expression of the first equation:

and this product of two factors will e zero when either factor is zero, that is: when x = 0, or when x = 9 [to make zero the binomial(x - 9)]
There are two solutions: x = 0 and x = 9.
When we graph both expressions in the system, we see that the line intercepts the parabola at the points (0, 2) and (9, 11). See attached image.
Task 2
Part 1:
Let's pick 30 as a number larger than 25. 30 can be written as 40 - 10
So we can use:

to calculate its square.
Part 2:
let's choose a=9 and b=10 so we use:

The answer is 4. If the relay is 1/4 mile, and each person runs 1/16 mile, then to get the answer you divide 1/4 by 1/6 and get 4. 4 people would be needed to run this relay. Hope this helps! :)
Plug in the volume and radius into the formula, then multiply.
Fun
n=number of nickles
q=number of quarters
d=number of dimes
4 more dmes than nickles, 3 more quarters than dimes
d+4=n
q=3+d
total value is 455 cents
10d+5n+25q=455
divide both sides by 5 to simplify
2d+n+5q=91
now we convert all to one coin
q=3+d and n+4=d
subsitute 3+d for q and n+4 for d
2(n+4)+n+5(3+d)=91
2(n+4)+n+5(3+n+4)=91
2(n+4)+n+5(n+7)=91
2n+8+n+5n+35=91
8n+43=91
minus 43 both sides
8n=48
divide both sides by 8
n=6
sub back
n+4=d
6+4=d
10=d
q=3+d
q=3+10
q=13
6 nickles
10 dimes
13 quarters