Answer:
The line y = -4x - 5 shows the reflection over the y-axis.
From the attached graph, the blue line i.e. y = -4x-5 represents the reflection over the y-axis.
Step-by-step explanation:
When we reflect a line function over the y-axis, all we need is to negate the x-coordinate or value of 'x', while y-coordinate or y-value remains the same.
Given the function
y = 4x-5
replace x with -x
y = 4(-x) - 5
y = -4x - 5
Thus, the line y = -4x - 5 shows the reflection over the y-axis.
From the attached graph, the blue line i.e. y = -4x-5 represents the reflection over the y-axis.
From the graph, it is clear that that that x-coordinate of y = 4x-5 is negated.
A, B, and C are the coefficients. They are not the terms as you have written now.
A quadratic equation is in the form Ax^2 + Bx + C. Therefore, A = 1, B = 8, and C = -6.
The axis of symmetry is found using the equation -b/2a, as you've done. Therefore, the axis of symmetry is -8/2(1) = -4.
Hope this helps!! :)
Answer:
57
Step-by-step explanation:
exterior angles add up to 360 so'
9x+1+5x+12+10x-37
24x-24=360
24x=384
x=16
10(16)-37
160-37
123
180-123
= 57
Answer:
The t distribution is used, because we have the standard deviation for the sample.
Step-by-step explanation:
When to use the z or the t distribution?
When we have the standard deviation for the population, we use the z distribution.
When we have the standard deviation for the sample, we use the t distribution.
In this question:
We have the standard deviation for the sample, which means that the t distribution is used.