Answer:
Step-by-step explanation:
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: 264 students will be able to make the project with the clay sticks.
Step-by-step explanation:
The number of packages of clay that Ms.Hewitt bought is 132.
Each package has 6 sticks of clay. This means that the number of sticks of clay in each package would be
132 × 6 = 792
Each student will receive 3 sticks of clay for a project. Therefore, the number of students that will be able to make the project with the clay sticks is
792/3 = 264 students
Answer:
Answer C --> y = 1/3 sin(x)
Step-by-step explanation:
When you are finding the inverse of a function, you are trying to obtain the function that applied to the one given gives you as result EXACTLY "x".
You know that the function sin(x) is the inverse of Arcsin(x), because when you applied it as follows, you obtain x (by cancelling out Arcsin and "liberating" the argument inside it: "x") :

But in this case applying sin (x) to Arcsin (3x) will not render just x, because the argument that ARcsin is carrying is not just "x" but "3x":

So we need to divide by 3 as well in order to obtain just "x" after applying our inverse. The function that does such is the third one listed (C), sinc it also has a multiplicative 1/3 that will cancel the factor 3 we want to get rid of.
Answer:
2
Step-by-step explanation:
because if 10 is the whole line of the base at the bottom of the trapezoid
and 8 is the whole top 10-8=2