Answer:1-12.5 feet, 2-10 feet, 3-13.75 feet, 4-8.125 feet,5-25 feet, 6-20 feet
Step-by-step explanation: All you have to do is break down the scale factor to 1:2.5 and multiply each measurement by 2.5.
The solution is x = 2 and y = 4
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
y = 2x -------- eqn 1
x = -y + 6 ----------- eqn 2
We can solve the system of equations by substitution method
<em><u>Substitute eqn 1 in eqn 2</u></em>
x = -2x + 6
Move the variables to one side and constants to other side
x + 2x = 6
3x = 6
Divide both sides of equation by 3
x = 2
<em><u>Substitute x = 2 in eqn 1</u></em>
y = 2(2)
y = 4
Thus the solution is x = 2 and y = 4
1- getting f*g:
We are given that:
f (x) = -6x + 3
g (x) = 5x + 4
To get f*g, we will simply multiply the two functions as follows:
f (x) * g (x) = (-6x+3)(5x+4)
f (x) * g (x) = -30x² - 24x + 15x + 12
f (x) * g (x) = -30x² - 9x + 12
2- getting the domain:
The domain is all the values of x that can be used in the given equation.
In the equation calculated from part 1, we can note that all real numbers can be considered as the domain.
Hope this helps :)
The first equation shows C and D, and the second shows C and B. The overlap will be at C, so thats the answer.
