Answer: Option C
Step-by-step explanation:
Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:
If then the graph of k(x) will be the graph of f(x) displaced vertically b units down.
If then the graph of k(x) will be the graph of f(x) displaced vertically b units upwards.
In this case we have
We know that this function has its vertex in point (0,0).
Then, to move its vertex 7 units down we apply the transformation:
.
Then the function k(x) that will have its vertex 7 units below f(x) is
Answer:
This point is not on the line, NOT TRUE
Step-by-step explanation:
The equation of the line is written in the slope-intercept form,
y = mx + b
where m represents the slope
b represents the y-intercept
where the format of a point is (x, y)
<u>Given:</u> y = 7x (6/7, -1/4)
we can plug in the point (6/7, -1/4)
-1/4 = 7(6/7)
-1/4 = 6
<em>-1/4 does not equal 6 so this point is not on the line</em>
Learn more about slope and y-intercept here: brainly.com/question/12763756
The formula of a perimeter of rectangle:
P = 2(w + l)
We have l = 12 in and P = 56 in.
Substitute:
2(w + 12) = 56 <em>use distributive property</em>
(2)(w) + (2)(12) = 56
2w + 24 = 56 <em>subtract 24 from both sides</em>
2w = 32 <em>divide both sides by 2</em>
w = 16
<h3>Answer: D. 16 in.</h3>
Answer:
B. y = -6
Step-by-step explanation:
As you can see the graph I done is perpendicular
Given:
μ = $3.26 million, averaged salary
σ = $1.2 million, standard deviation
n = 100, sample size.
Let x = random test value
We want to determine P(x>4).
Calculate z-score.
z = (x - μ)/ (σ/√n) = (4 - 3.26)/(1.2/10) = 6.1667
From standard tables,
P(z<6.1667) = 1
The area under the distribution curve = 1.
Therefore
P(z>6.1667) = 1 - P(z<=6.1667) = 1 - 1 = 0
Answer: The probability is 0.