Post Test: Comparing and Building Functions
12
The table represents the function fx).
9
16
1
3
4
-2
RX
-4
0
If g(x) = 4,0
– 8, which statement is true?
A
The y-intercept of gx) is less than the y-intercept of fx).
B.
The y-intercept of g x) is equal to the y-intercept of fx).
C.
The x-intercept of g(x) is equal to the x-intercept of AX).
D.
The x-intercept of g(x) is greater than the x-intercept of fx).

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0