Remember
difference of 2 perfect squares
a^2-b^2=(a-b)(a+b)
and the undistributiv propeoryt
ab-ac=a(b-c)
so we have
undistribute and factor
cancel out the one ( (u-2)/(u-2)=1)
is result
Answer:
The answer is negative -12.18
Step-by-step explanation:
This is how I'd set it up:
405/20 = 243/x
this means the mpg (miles / gallons) for 1 situation is the same as the mpg for the other situation (because the rate is the same)
then just cross multiply and solve:
405x=243*20 or 405x=4860 or x = 12
he would need 12 gallons of gas for 243 miles
Answer:
1. (7,-9)
2. (4,0) and (10,0)
3. (3,0) and (-3,0)
4. (0,-9)
5. (-1,-32)
Step-by-step explanation:
To find the vertex use the formula
First make the equation into a quadratic equation.
Now it is in the form
Now we can substitute the values
Now we have 7 as our x value for the vertex we can substitute for y,
So the vertex for 1 is (7,-9)
To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.
4 is slightly different but start the same,
Here, c (9) just shows the graph move down 9, so the y intercept = 9.
5 is the same process as 1,
Vertex,
Substitute,
So the vertex is (-1,-32)
