The image of a parabolic lens is traced onto a graph. The function f(x) = 1/4 (x+8)(x-4) represents the image. Atwhich points does the image cross the x-axis?
O (-8, 0) and (4,0)
(8,0) and (-4, 0)
O (2, 0) and (-1,0)
O (-2, 0) and (1, 0)
Answers
The image of the parabolic lens crosses the x axis at the points
(-8, 0) and (4, 0)
How to find the points where the image cross x axis
To find the points where the graph of the function crosses the x axis we need to find the values of x that make f(x) equal to zero
hence we have that
f(x) = 1/4 (x + 8) (x - 4)
0 = 1/4 (x + 8) (x - 4)
x + 8 = 0
x = -8
OR
x - 4 = 0
x = 4
hence we can say that the image of the parabolic lens crosses the x axis at the points (-8, 0) and (4, 0)
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Answer:
d(x) = √[(x - 2)² + (3x - 1)²]
Step-by-step explanation:
The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given as
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
So, the distance between point (2,0) and a point (x,y)
d = √[(x - 2)² + (y - 0)²]
d = √[(x - 2)² + (y)²]
But the point (x,y) is on the line y = 3x - 1
We can substitute for y in the distance between points equation.
d(x) = √[(x - 2)² + (3x - 1)²]
QED!
Answers
Let
x -----> number of practice throws
y -----> the number of free throws
Part A
Linear Model
Using a Linear Regression Calculator
we have
ŷ = 2.352X - 0.852
see the attached figure
Remember that
With linear regression, the coefficient of determination is equal to the square of the correlation between the x and y variables
the coefficient r=0.919
Quadratic model
Using a Quadratic regression Calculator
we have
y=0.073x^2+1.205x+2.555
correlation coefficient r=0.925 ------> strong correlation
see the attached figure
Exponential model
Using an Exponential Regression Calculator
we have
y=4.229(1.17)^x
Correlation:r=0.913
see the attached figure
Part B
The model that best fits the data is the Quadratic model because its value of r is greater than the linear model and greater than the exponential model
Answers
Answers
Answer:
The largest standard deviation for the amount of cereal in a box is 0.3906.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
The z-score of X = 16 has a pvalue of 0.1. So it is . Now we have to find the value of
.
The largest standard deviation for the amount of cereal in a box is 0.3906.
Answers
Answer:
The required value for the blank is 21.8696
Step-by-step explanation:
Consider the provided information,
4,275.50= 391/2 of ____
Replace blank with x.
4,275.50 = 391/2 of x
Use sign of multiplication for "of".
Solve the above expression for x.
Thus, the required value for the blank is 21.8696