Answer:
A
Step-by-step explanation:
To determine which point is a solution, substitute the x- coordinate into the right side of the inequality and compare it's value to the y- coordinate of the point.
A (0, 2)
2x - 1 = 0 - 1 = - 1 → 2 ≥ - 1 ⇒ (0, 2) is a solution
B (4, 1)
2x - 1 = (2 × 4) - 1 = 8 - 1 = 7 → 1 < 7 ⇒ (4, 1) is not a solution
C (0, - 10)
2x - 1 = 0 - 1 = - 1 → - 10 < - 1 ⇒ (0, - 10) is not a solution
D (4, 2)
2x - 1 = (2 × 4) - 1 = 8 - 1 = 7 → 2 < 7 ⇒ (4, 2) is not a solution
Answer:
third answer
Step-by-step explanation:
The end behavior of the function indicates that the leading coefficient of x is negative (as x approaches infinity, f(x) approaches negative infinity for cubic functions with negative leading coefficients). This eliminates the first 2 answers. Next, factor out the common factor from the 3rd answer and set it to 0 to see if the roots of the polynomial shown on the graph (x=-3, x=2) match that of the answer.
- factor out -2x since each term in the 3rd answer is divisible by -2x => -2x(x^2+x-6)
- set the factored polynomial equal to 0 => -2x(x^2+x-6)
- divide both sides by -2x => 0 = x^2+x-6
- factor => (x+3)(x-2) = 0
- find zeros by setting both factors equal to 0 => x=-3, x=2
This means that the 3rd answer is correct. The last answer, while having the correct leading coefficient, will produce roots of 3 and -2 instead of -3 and 2, which is shown on the graph.
Answer:
x = 2 and x = 1
Step-by-step explanation:
I think
Answer:
Sphere
Step-by-step explanation:
we know that
A sphere is a round, ball-shaped solid
so
The geometric solid suggested by a beach ball is a sphere
see the attached figure to better understand the problem
First angle = x
Second angle = x - 42
Sum both complementary angles = 90
x+x-42=90
2x=132
x=66⁰ - First angle
x-42=66-42=24
24⁰ - Second angle
