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balu736 [363]
3 years ago
11

43%

Mathematics
1 answer:
fgiga [73]3 years ago
4 0

Answer:

The answer is below

Step-by-step explanation:

a) The number of pupils who scored more than 7 in a test = pupils who shored  8 + pupils who shored 9 + pupils who shored 10

The number of pupils who scored more than 7 in a test = 7 + 3 + 1 = 11 pupils

b) Total number of pupils = pupils who shored  0 + pupils who shored 1 + pupils who shored 2 + . . . + pupils who shored 9 + pupils who shored 10

Total number of pupils = 0 + 1 + 4 + 0 + 0 + 8 + 0 + 2 + 7 + 3 + 1 = 26 pupils

c) It is assumed that nobody scored either 0 or 3 or 4 or 6. Also the highest mark was assumed to be 10

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Step-by-step explanation:

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Brady studied 1.5 hours on Monday, 0.75 hours on Tuesday, 1.25 hours on Wednesday, and 1 hour on Thursday. How
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Brady studied for 4.5 hours that week

How we determine the total study hours?

The total study hours for Brady is the sum of the hours used in studying on Monday, Tuesday, Wednesday and Thursday.

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shutvik [7]

Answer:

The domain of the function f(x) is:

\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

The range of the function f(x) is:

\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

Step-by-step explanation:

Given the function

f\left(x\right)=5\left|x\right|

Determining the domain:

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

  • Domain refers to all the possible sets of input values on the x-axis.

It is clear that the function has undefined points nor domain constraints.

Thus, the domain of the function f(x) is:

\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.  

In other words,  

  • Range refers to all the possible sets of output values on the y-axis.

We know that the range of an Absolute function is of the form

c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k

k=0

so

Thus, the range of the function f(x) is:

\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

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Answer:

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