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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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17 one point shots and 39 two point shots were made

Solution:

Given that,

At a basketball​ game, a team made 56 successful shots

They were a combination of​ 1- and​ 2-point shots

Let "x" be the number of 1 point shots

Then, 56 - x is the number of two point shots

The team scored 95 points in all

Therefore,

1(number of 1 point shots) + 2(number of two point shots) = 95

x + 2(56 - x) = 95

x + 112 - 2x = 95

x = 112 - 95

x = 17

Then, number of two point shots = 56 - x = 56 - 17 = 39

Thus 17 one point shots and 39 two point shots were made

8 0
3 years ago
PLEASE ANSWER <br><br> Which characteristic is shared by both prokaryotes and eukaryotes?
Norma-Jean [14]

Answer:

the 3rd one,

Step-by-step explanation:

Because it is the 3rd one

7 0
2 years ago
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The shelter has 90 dogs and 150 cats. of these animals 9 dogs and 27 cats receive medication. What percentage of animals receive
krek1111 [17]
3% because If you divide 27/9
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Write each fraction as the sum of a whole number and a fraction less than 1
Tpy6a [65]

Given:

The fractions are:

\dfrac{6}{5},\dfrac{11}{7},\dfrac{21}{4}

To find:

The each fraction as the sum of a whole number and a fraction less than 1.

Solution:

The given fraction is \dfrac{6}{5}.

\dfrac{6}{5}=\dfrac{5+1}{5}

\dfrac{6}{5}=\dfrac{5}{5}+\dfrac{1}{5}

\dfrac{6}{5}=1+\dfrac{1}{5}

Therefore, the given fraction \dfrac{6}{5} can be written as 1+\dfrac{1}{5}.

The given fraction is \dfrac{11}{7}.

\dfrac{11}{7}=\dfrac{7+4}{7}

\dfrac{11}{7}=\dfrac{7}{7}+\dfrac{4}{7}

\dfrac{11}{7}=1+\dfrac{4}{7}

Therefore, the given fraction \dfrac{11}{7} can be written as 1+\dfrac{4}{7}.

The given fraction is \dfrac{21}{4}.

\dfrac{21}{4}=\dfrac{20+1}{4}

\dfrac{21}{4}=\dfrac{20}{4}+\dfrac{1}{4}

\dfrac{21}{4}=5+\dfrac{1}{4}

Therefore, the given fraction \dfrac{21}{4} can be written as 5+\dfrac{1}{4}.

7 0
3 years ago
The temperature in degrees Fahrenheit of a corpse t hours after death is 58+40e−t/2458+40e−t/24. What is the temperature of the
jolli1 [7]

Answer:

58+40e−t/2458+40e−t/24

step by step explanation:

Normally, the temperature of a corpse is the temperature of the surrounding environment.

This is done by losing or gaining heat to equilibrate to that of the surrounding.

Let's assume that the final temperature of the corpse is after t hrs.

Then the temperature of the surrounding in degree Fahrenheit is equal to 58+40e−t/2458+40e−t/24

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