Discussion
The discriminate is b^2 - 4*a*c
The general equation for a quadratic is ax^2 + bx + c
In this equation's case
a = 1
b= -5
c = - 3
Solve
(-5)^2 - 4*(1)*(-3)
25 - (-12)
25 + 12
37
Note
Since the discriminate is > 0, the roots are real and different. The roots do exist and there are 2 of them.
So really all you have to do is simply the expressions on top to match them.
Starting with (4t-8/5)-(3-4/3t), distribute the negative sign to the right portion in parentheses, then distribute it all out and you will get 16/3t- 23/5
Basically, use distribution to simplify, here's all the matches:
(4t-8/5)-(3-4/3t) --> 16/3t- 23/5
5(2t+1)+(-7t+28) --> 3t+33
(-9/2t+3)+(7/4t+33) --> -11/4t+36
3(3t-4)-(2t+10) --> 7t-22
Your car's gas mileage is 15.5 miles to the gallon. On 55 miles of gas, you could drive 852.5 miles.
Answer:
<h2 />
Step-by-step explanation:
The voloum is 8 cubic cm.
Answer: a) x < 3
b) 3, 4, 5, 6
c) x > 6
<u>Step-by-step explanation:</u>
First you need to understand the symbols:
< means less than (represented by an open dot, left arrow)
≤ means less than or equal to (represented by a closed dot, left arrow)
> means greater than (represented by an open dot, right arrow)
≥ means greater than or equal to (represented by a closed dot, right arrow)
a) We have a closed dot and a left arrow so we need to use <
We write this inequality as: x < 3
b) y is BETWEEN 2 and 6 (not including 2 but including 6)
2 <u> </u><u>3 </u> <u> 4 </u> <u> 5 </u> 6
c) 3x + 7 > x + 19
2x + 7 > 19 subtracted x from both sides
2x > 12 subtracted 7 from both sides
x > 6 divided both sides by 2
