Question 1:
Slope = 1/5
y = mx + c
y = 1/5 x + c
at point (5, -1)
-1 = 1/5 (5) + c
- 1= 1 + c
c = - 2
y = 1/5x - 2
5y = x - 10
Question 2:
slope = (9-5)/(3-1)
Slope = 2
y = mx + c
y = 2x + c
at point (1, 5)
5 = 2(1) + c
c = 5 - 2
c = 3
y = 2x + 3
Answer:
It means that the roots of the quadratic equation are real and distinct
Step-by-step explanation:
Here, given the discriminant of the quadratic equation, we want to find out the nature of the solutions.
Mathematically, we can use to determine the nature of the discriminant.
By it’s formula;
D = b^2 - 4ac
We can see that the given discriminant 40 is a positive value. What this means is that the quadratic equation has roots which are real and are distinct
Answer:
D
Step-by-step explanation:
8 is LESS THAN 1/2x
so youd take those numbers and multiply by 1/2
C, B, and A are all under 8, so that would be wrong
when you multiply 1/2 with 17, you get 8.5 which is bigger than 8. then everything else above that is more than 8, therefore D is the right answer.
The problem is -2a - 5 > 3
we have - 2a>3+5
or - 2a>8 and now we divide by - 2
and a< 8/(-2) or a< -4
That means you have to choose D- the last line
A and B are the answers.
If you need proof, just ask in the comments, and I’ll get back to you.
I hope this helps!
