Answer:
n < 20
Step-by-step explanation:
2n – 1 < 39
Add 1 to each side
2n – 1+1 < 39+1
2n < 40
Divide each side by 2
2n/2 < 40/2
n < 20
Answer:
The integers are 4 and 7 or -2 and 1.
Step-by-step explanation:
You can make a system of equations with the description of the two integers.
1. x = y + 3
2. 2x + 2 = y^2
The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.
1. x = y + 3
2. 2(y + 3) + 2 = y^2
Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.
2y + 6 + 2 = y^2
y^2 - 2y - 8 = 0
You can factor this equation to solve for y.
(y - 4) (y + 2) = 0
y = 4, y = -2
Now we can substitute the value of y for x in the first equation.
x = 7, x = 1
Answer:
A. The magnitudes are 10, and the direction angles are about 18 degrees.
Step-by-step explanation:
Edge 2020
Hello,
Line 1 is passing through (-4,3), (-2,7) has a slope of (3-7)/(-4+2)=2
Line 2 is passing through (2,9), (4,1) has a slope of (9-1)/(2-4)=-4
One other way:
y=9-1/2 x²
y'=-x
gradient 1=-(-2)=2 for point (-2,7)
gradient 2=-(4)=-4 for point(4,1)
