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Inessa05 [86]
3 years ago
10

Provide two examples of a function: (1) as a table of values and (2) as a graph. Explain the definition of a function.

Mathematics
1 answer:
Pie3 years ago
7 0

Function definition:

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x². The output of a function f corresponding to an input x is denoted by f(x) (read "f of x").


Function table of values:

x y

2 10

3 15

4 20

5 25


P.S. Sorry, this is a bad answer. Don't have much time...

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GUYS I NEED HELP PLSSSSSS! Ive been working on this ALL day!
Vika [28.1K]

First, let's write what we know.

We can represent the number of students in the play from each class as L, G, and C. We know that L = 7, and if Gardener has 4 more students than Cho, then G = C + 4.

Then, taking the third line, we can write an inequality:

C < L < G

C < 7 < C + 4

C - 4 < 3 < C

3 < C < 7

If C is greater than 3 and less than 7 and is an integer, than means C is 4, 5, or 6.

Then, we need to find how many students are in the play.

C + L + G

C + 7 + C + 4

2C + 11

So we have our expression for the number of students in the play. Then, we need to find the total number of students. We know that 2C + 11 will be 30% of the total, so if T is the total, we can find T.

0.3T = 2C + 11

(Divide by 3/10 or multiply by 10/3 on both sides)

T = 20/3 C + 110/3

We know from before that C is 4, 5 or 6. We can plug these into our equation here to find which one produces a whole number.

T = 20/3 * 4 + 110/3

T = 190/3

T = 20/3 * 5 + 110/3

T = 210/3

T = 70

T = 20/3 * 6 + 110/3

T = 230/3

We can see here that only when C is 5 will the total be a whole number. That means Mrs. Cho has 5 students in the play. If Mrs. Gardner has 4 more than that, she has 9 students in the play in her class.  We now need to figure out the number of student in her class.

The total students are Cho's, Logan's, and Gardner's classes added together. We know that Logan's class is 23 students, so if we subtract that from the total, we can see that Cho's and Gardner's class have 47 students. If Mrs. Cho has 24 students in her class, we can subtract that from the 47, so we know that Mrs. Gardner has 23 students in her class.

4 0
3 years ago
What is 9 times -11 + 17 times 11 in factored form
Rama09 [41]

Answer:

88

Step-by-step explanation:

(17 * 11 = 187) + (9 * -11 = -99)

187 - 99 = 88

7 0
3 years ago
PLS HELP ASAPPP plsss
Anna71 [15]

Answer:

27.5

Step-by-step explanation:

this is the trigonometric ratio.. we are looking for d... that is the opposite... any side facing the angel is the opposite.... so the longest side of the right angle triangle is the hypotenuse........ so you are looking for the opposite and you are giving the hypotenuse.... so the easiest way to know how to find it is by using this way...... SOH CAH TOA..... the first words stand for sin cosine and tangent of angles.... we are using sin.... because it says opposite / hypotenuse... and as you can see the angle which is 39 degree we will use sin 39.....what will be sin 39=d/30m....then ull cross multiply.... d=30m* sin 39.....

d = 30m *0.963

d = 28.8

but since 27.5 is dere....

you can round up to 1 sig. f =28

4 0
3 years ago
Find the area of the shaded region.<br> use 3.14 for pi. Round to the hundredths if necessary.
ludmilkaskok [199]

Answer:

<em>122.46 cm² </em>

Step-by-step explanation:

A = \pi r^{2}

~~~~~~~~~

r_{1} = 8 cm

r_{2} = 5 cm

A = 3.14 ( 8² - 5² ) ≈ <em>122.46 cm²</em>

7 0
3 years ago
For the graph, locate the x-intercept and y-intercept.
alexgriva [62]
X-intercept = -4
y-intercept = -8
5 0
3 years ago
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