a = 4, b = -21, c = -18
to keep from getting "mixed up", evaluate the discriminant first ...
b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729
sqrt(729) = 27
x = (21 +/- 27)/8
x = -3/4, x = 6
since the discriminant is a perfect square, the original quadratic will factor ...
4x<sup>2</sup> - 21x - 18 = 0
(4x + 3)(x - 6) = 0
x = -3/4, x = 6
' 36 = 9k ' is not an inequality. It's an <u>equality</u>, usually called an <em><u>equation</u></em>.
It's true whenever 'k' is 4, and false at any other time.
(You can determine that simply by dividing each side of the equation by 9.)
3 + 1.75m
This represents 1.75 per mile plus a one time 3 charge.
Another way this can be written is
(1.75m + 6) - 3
This is a less efficient way, but represents the same. It is 1.75 per mile, this is plus 6, therefore we add the -3 outside the parenthesis so it evens out to +3 as the base charge.
Example: Lets say its 3 miles.
3 + 1.75 (3) = 8.25
(1.75 (3) + 6) - 3 = 8.25
Answer:
Scale factor: 3/2
Step-by-step explanation:
- ABCD is similar to DEFG
- We need to find DEFG from ABCD
- If we multiply values on ABCD by 3/2, then we get DEFG
- So, the scale factor is 3/2
A system of equation are a set or collection of equations altogether at once
