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hodyreva [135]
3 years ago
13

Which graph represents the function over the interval [−3,3] ? f(x)=⌈x+1⌉

Mathematics
1 answer:
CaHeK987 [17]3 years ago
4 0

Answer: The correct graph is the bottom left graph.

Step-by-step explanation:

Given function is f(x)=ceil(x+1)

To plot graph of f(x) in interval of(-3,3) :

ceil(x+1) is ceiling function

The output of ceil(x) is least integer greater than x

for example ceil(5.5)=6

For an interval of (-3,-2):

Take x=(-2.4)

x+1=(-1.4)

y=f(x)=ceil(x+1)=(-1)

Similarly,

For an interval of (-2,-1):

Take x=(-1.4)

x+1=(-0.4)

y=f(x)=ceil(x+1)=(0)

For an interval of (-1,0)

y=f(x)=1

For an interval of (0,1)

y=f(x)=2

For an interval of (1,2)

y=f(x)=3

For an interval of (2,3)

y=f(x)=4

Thus, The correct graph is the bottom left graph.

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Answer:

Step-by-step explanation:

Given the regression equation :

y=2+3x

Mean of y values ; y = 5.0

Where y is the predicted variable ; x = predictor variable

The predicted value of y for X = 2

Null: H0 = 5

Alternative H1 : ≠ 5

Sample size (n) = 10 pairs

Degree of freedom = n - 2 = 10 - 2 = 8

7 0
3 years ago
The measure of one angle in a regular octagon is
antiseptic1488 [7]

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Step-by-step explanation:

360/8 sides =45

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Step-by-step explanation:

Museum C

4 0
3 years ago
Play some pains 1/4 of the area of his living room walls,w, on Monday. On Tuesday, he paints twice as much as he painted on Mond
Lemur [1.5K]

Answer:

X = 1 - (1/4) - 2 * (1/4)

Step-by-step explanation:

The equation to be raised must take into account what is painted on Monday and Tuesday. First consider the wall as a unit, that is to say painting the entire wall (100%) is equivalent to 1. Therefore the equation would be the following:

Let X be the unpainted part:

<em>X = 1 - (1/4) - 2 * (1/4) </em>

X = 1 - (1/4) - (1/2)

Now, if we solve this, we have that 0.25, therefore 25% or 1/4 is left to be painted on the wall.

6 0
3 years ago
Find the Area of the figure below, composed of a rectangle with two semicircles removed. Round to the nearest tenths place.
Allisa [31]

Answer:

21.8

Step-by-step explanation:

hii so basically first we find the area of the 9 by 8 and subtract the area of the semicircles.

area of circles are πr^2, so in this situation

π4^2 which is 16π.

with this, the semicircle which is half a circle would give us

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but then, we have two semicircles removed so we would have as an answer:

(9*8)-8π+8π

72-16π

then you would have to round so

16π is around 50.2

so 72-50.2 is 21.8

i hope this helped you <33

6 0
3 years ago
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