Answer:
the value of x is 1
Step-by-step explanation:
cross multiply them
2x+10=12x
then take 2x to right hand side
10=12x-2x
then
10=10x
divide 10 on both sides
10/10=10x/10
then it is
1=x
The area of the shaded region would be 64m²
Answer:
Step-by-step explanation:
9514 1404 393
Answer:
11 cm
Step-by-step explanation:
The volume of the prism is given by the formula ...
V = Bh
where B is the area of the triangular base, and h is the height.
Filling in the given information, we find the area of the triangular base to be ...
726 cm³ = B(12 cm)
B = 726 cm³/(12 cm) = 60.5 cm²
The area of an isosceles right triangle is half the area of a square with the same side lengths:
B = 1/2s²
60.5 = 1/2s²
s = √(2(60.5)) = √121 = 11
The length of each of the equal sides of the base is 11 cm.
For this case, the first thing we must do is evaluate the function in each of the domain points.
We have then:
f (-1) = 2 (-1) + 1 = -2 + 1 = -1
f (0) = 2 (0) + 1 = 0 + 1 = 1
f (1) = 2 (1) + 1 = 2 + 1 = 3
f (2) = 2 (2) + 1 = 4 + 1 = 5
The range of the function will then be:
R = {-1, 1, 3, 5}
Answer:
The range of the function f (x) = 2x + 1 given the Domain D = {-1, 0, 1, 2} is:
R = {-1, 1, 3, 5}