Answer:
Step-by-step explanation:
A). y = |2x - 3| + 1
Domain of function is defined by the x-values (Input values) and Range by the y-values(Output values).
From the graph,
Domain : (-∞, ∞)
Range : [1, ∞)
B). Table of the input-output values of the function,
y = x² - 2x + 1
x -2 -1 0 1 2
y 9 4 1 0 1
By graphing the function as attached,
Domain of the function : (-∞, ∞)
Range of the function : [0, ∞)
C). x² + y² = 3²
Domain of the function : [-3, 3]
Range of the function : [-3, 3]
D). x = 5
Domain of the line : [5, 5]
Range of the line : (-∞, ∞)
Answer: 2/49
Step-by-step explanation: JANUARY has 7 letters in total, 1 J, and 2 A's, so the probability you choose a J first is 1/7. Putting that back then drawing for an A gives you 2/7. These are dependent events, so 1/7 * 2/7 = 2/49
Answer:
9.9inches
Step-by-step explanation:
From the attachment, the opposite side is debited as "x" while the Hypotenuse is 10.9inches, we can find the third side by using trigonometry
From trigonometry, Sin(x)= opposite/Hypotenuse
Sin(65)=X/10.9
X= Sin(65) ×10.9
X=0.9063×10.9
=9.8688
Hence the third side of the triangle is approximately 9.9inches
CHECK THE ATTACHMENT FOR THE TRIANGLE
Answer:
y = 4/3x + 4
Step-by-step explanation:
y = mx + b is the formula for finding the slope intercept form equation
m = slope
b = y intercept
If you look at points (-3, 0) and (0, 4), you can calculate the slope
You have to go over, from point (-3, 0), 3 times, and up four to get to the point (0, 4)
Slope is change in y over change in x, so, if we look to see where the line crosses the y-axis, or vertical axis, we can see it reach the number four on the y-axis, b = 4
Now, lets create your equation...
y = 4/3x + 4