<h3>
Answer: True</h3>
This is often how many math teachers and textbooks approach problems like this. The overlapped region is the region in which satisfies every inequality in the system. Be sure to note the boundary of each region whether you're dealing with a dashed line or a solid line. Dashed lines mean points on the boundary do not count as solution points, whereas solid boundaries allow those points as part of the solution set.
Side note: This is assuming you're dealing with 2 variable inequalities. If you only have one variable, you don't need to graph and instead could use algebra. Graphing doesn't hurt though.
Answer:
x ≈ 42.3
Step-by-step explanation:
The law of cosines is given. For this problem, ...
a = 25, b = 30, c = x , C = 100°
Filling in these values, we have ...
x^2 = 25^2 +30^2 -2(25)(30)cos(100°)
x^2 ≈ 1785.4723
x ≈ √1785.4723 . . . . take the square root
x ≈ 42.3
Answer:
Our system of equations is:
We are looking for x
Let's express y using x
Replace x in the second equation with the result
- 4y-4x²-12x = -7
- 4(-2x-1)-4x²-12x = -7
- -8x-4-4x²-12x = -7
- -8x-4x²-12x = -7+4
- -4x²-20x = -3
- -4x²-20x+3 = 0 multiply by -1 to get rid of the - signs with x
- 4x²+20x-3=0
4x²+20x+3=0 is a quadratic equation
Let Δ be our discriminant
Δ= 20²-4*4*(-3)
Δ=448 > 0 so we have two solutions for x
let x and x' be the solutions
- x =
= -5.145 ≈ -5.15 - x'=
= 0.145≈ 0.15
so the solutions are:
-5.15 and 0.15
Answer:
Any even number is in between 2 odd numbers. So it is a very good possibility to spin a even number.
Step-by-step explanation:
