Answer:
Answer:
17 seedlings
Step-by-step explanation:
Given;
The seedlings are at an equal distance in a straight line.
Distance between 3rd seedling and 5th seedling = 9/10 m
So, distance between 3rd seedling and 4th seedling = 9/10 ÷ 2 = 9/20 m
So, the distance between two seedlings in a line = 9/20 m
The given distance between 2nd seedling and the last seedling = 6 3/4 m = 27/4 m
There are a few ways to solve this. The method I will use is the substitution method. Since they give us a "y = " statement, we can replace the y in the second equation with what it gives us to the right of the equal sign.
- 3x + 6(- 2x - 1) = 24
Simplify by using the distributive property.
- 3x + 6(- 2x) + 6(- 1) = 24
- 3x - 12x - 6 = 24.
Combine like terms
- 15x - 6 = 24
Add 6 to each side.
- 15x = 30
Divide both sides by - 15 to isolate variable X
x = 30 / - 15
x = - 2.
Now plug in the x-value we've found back into the first equation.
y = - 2( - 2) - 1
y = 4 - 1
y = 3
Your answer is (- 2, 3)
Answer:
12. B
13 A
18 B
19 B
Step-by-step explanation:
12. The solutions of the quadratic is the roots, so 0 = x^2 -7x -30 = (x-10)(x+3). For this to be satisfied, either x-10 = 0 -> x = 10 and x + 3 = 0 -> x = -3
13. Either x = 0 or x+8 = 0 -> x =-8 for this to be true
18. The GCF of 2, 6, and 20 is 2. No other number satisfies being a common factor.
19. The product of the solutions of the equation is the (constant/leading coefficient) in the quadratic, which is -8/1 = -8
I hope this helps! :)
Slope intercept form is y = mx + b, where m is the slope and b is the y-intercept.
We are given the values of m and b. Inserting the given values into the equation gives us:
y = -2x + 4
This is the slope-intercept equation of the line. Let me know if you need any clarifications, thanks!
