Answer:
x = 9
Step-by-step explanation:
If g(x) = 3, that means that the output is three.
Outputs are y values.
Look at the graph. When y=3, the x = 9.
So the input value for which g(x) = 3 (aka that gives the output y = 3) is x = 9
Answer:
y = (x - 3)² + 1
Step-by-step explanation:
the equation of a quadratic function in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here (h, k ) = (3, 1 ) , then
y = a(x - 3)² + 1
to find a substitute (1, 5 ) into the equatiuon
5 = a(1 - 3)² + 1 ( subtract 1 from both sides )
4 = a(- 2)² = 4a ( divide both sides by 4 )
1 = a
then equation of quadratic function is
y = (x - 3)² + 1
Answer:
Number of ways to chose bracelet = 2 ways
Step-by-step explanation:
Given:
Total number of bracelet = 3
Y is chosen first
Find:
Number of ways to chose bracelet
Computation:
Y is chosen first so remain number of bracelet is 2
So,
Number of ways to chose bracelet = !2
Number of ways to chose bracelet = 2 × 1
Number of ways to chose bracelet = 2 ways
Variance is the average of the square of the differences of each data with the mean. To calculate for the variance, we first calculate for the mean. Then, we subtract each data with the mean. Next, each difference would be squared and added. The resulting value would be divided on how many data are used. We calculate as follows:
Mean = <span>9 + 7 + 6.5 </span>+ 7.5 + 7 + 8 + 5 + 6 + 7.5 + 8 / 10
Mean = 6.4
Squared of the sum of the differences = (9-6.4)^2 + (7-6.4)^2 + (6.5-6.4)^2 + (7.5-6.4)^2 + (7-6.4)^2 + (8-6.4)^2 + (5-6.4)^2 + (6-6.4)^2 + (7.5-6.4)^2 + (8-6.4)^2 = 17.15
Variance = 17.15 / 10 = 1.715
