Answer:
See below.
Step-by-step explanation:
Party A
y = x^2 + 1
For each value of x in the table, substitute x in the equation with that value and evaluate y.
x = -2: y = (-2)^2 + 1 = 4 + 1 = 5
x = -1: y = (-1)^2 + 1 = 1 + 1 = 2
Do the same for x = 0, x = 1, x = 2
x y
-2 5
-1 2
0 1
1 2
2 5
Part B
Look at points (-2, 5) and (-1, 2). The change in x from (-2, 5) to (-1, 2) is 1. The change in y is -3.
Now let's look at two other points which have a change in x of 1. Look at points (0, 1) and (1, 2). The change in x from (0, 1) to (1, 2) is 1. The change in y is 1.
You can see that for the first two points, a change of 1 in x produces a change of -3 in y, but for the second two points, the same change of 1 in x produce a change of 1 in y. Since the same change of x does not always produce the same change in y, the function is nonlinear.
Answer: A
Answer:
h = 10sin(π15t)+35
Step-by-step explanation:
The height of the blade as a function f time can be written in the following way:
h = Asin(xt) + B, where:
B represets the initial height of the blade above the ground.
A represents the amplitud of length of the blade.
x represents the period.
The initial height is 35 ft, therefore, B = 35ft.
The amplotud of lenth of the blade is 10ft, therefore A = 10.
The period is two rotations every minute, therefore the period should be 60/4 = 15. Then x = 15π
Finally the equation that can be used to model h is:
h = 10sin(π15t)+35
Step-by-step explanation:
The congruent angles of the isocels triangle's opposite sides's are congruent.
Well, there are actually millions of colors in the rainbow, (every color that the human eye can see), but I do understand the question you're asking:
-- When Sara is ready to make her first selection, there are seven things with different colors in the pot, and one of them is red.
The probability that she picks the red one is ( 1 / 7 ).
The question says "with replacement". That means that after she selects it and looks at it, she puts it back in the pot. So . . .
-- When she's ready to make her second selection, the same seven things with different colors are still in the pot. One of them is orange.
The probability that she picks the orange one is ( 1 / 7 ).
-- The probability of BOTH selections being successful (the color she wants) is
(1/7) x (1/7) .
That's <em>(1/49)</em>, which is about <em>2.04 percent</em> .
