Answer:
Step-by-step explanation:
diagram attached represents a function g(x).
Circle (1) (circle on the left) represents the set of domain (input values) and circle (2) represents the range (output values).
a). For input value x = 7, out put value of the function is y = 9.
Therefore, g(7) = 9 will be the answer.
b). Range of the function g(x) is the set of output values.
Range: {12, 9, 9, 17}
c). Inverse of the function g(x) will have,
Domain: {12, 9, 9, 17}
Range: {4, 7, 10, 15}
For input value of x = 9, there are two output values y = 7, 10.
Since, "a function can't have two output values for the same input value".
Therefore, inverse of the function g(x) will not represent a function.
Answer:
A: f(x)=2x^2 +12x +10
B: f(0) = 10
Step-by-step explanation:
<u>Part A</u>:
f(0) is a constant in the equation if the form is such that for x=0, all terms are zero except one of them. Standard form is one such form. This is the equation in standard form:
f(x) = 2x^2 +12x +10
__
<u>Part B</u>:
f(0) = 0 + 0 + 10
f(0) = 10
1/3 is greater because it is equal to 0.33333......
1/8 is equal to 0.125. :D
Answer:
green= 3/20. black =4/20 or 1/5
Step-by-step explanation:
green = 3
black = 4
total = 20
green = 3/4
black = 4/20 = 1/5
Answer:
Step-by-step explanation:
<u>Right Triangles</u>
A right triangle can be identified by the fact it has an internal angle of 90°. In a right triangle, the trigonometric ratios stand.
Let's consider the triangle to the left. We need to calculate side c, one of the legs of the triangle. We can use the angle adjacent to it (60°) or the angle opposite to it (30°) with the appropriate trigonometric ratio.
We'll use the adjacent angle, and
Solving for c
Rationalizing
Now for the triangle to the right. The side h is the hypotenuse. Again, any of the two angles can be used (though they are equal, for it's an isosceles triangle). For any of them it is true that
Solving for h
Rationalizing
