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jarptica [38.1K]
3 years ago
9

Which of the following relations is a function?

Mathematics
1 answer:
MrMuchimi3 years ago
6 0

Answer:

<em>A. (1,4), (-5, 2), (7, 1), (-8, 2)</em>

Step-by-step explanation:

<u>Definition of a Function</u>

A function is a relation between an input and an output set of values with the condition that every element in the input set relates only to one element in the output set.

From the four options presented in the question, we must select the only one that doesn't repeat the value for x and has a different value of y.

For example, the set

B. (1,4), (-5, 6), (1, 3), (-8, 2) is not a function because the input value of 1 has two different output values

C. (1,0), (-5,3), (7, 1), (-5,5) is not a function either because the input value of -5 has two different output values

The correct choice is:

A. (1,4), (-5, 2), (7, 1), (-8, 2)

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There must be more than 4 campers in a group during free play and the difference between the number of boys, x, and the number o
Hoochie [10]
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x -----> the number of boys
y -----> the number of girls

----->inequality A
The solution of the inequality A is the shaded area above the solid line
The slope of the solid line is positive
The y-intercept of the solid line is (0,-5)
The x-intercept of the solid line is (5,0)
-----> equation B
The solution of the inequality B is the shaded area above the dashed line
The slope of the dashed line is negative
The y-intercept of the solid line is (0,4)
The x-intercept of the solid line is (4,0)
using a graphing tool
the solution of the system of inequalities is the shaded area between the solid line and the dashed line
see the attached figure
7 0
3 years ago
Read 2 more answers
$40,768 per year what is the weekly gross earnings
nevsk [136]

($40768/y)(y/52w)=$784/week

Seven hundred and eighty-four dollars per week.

5 0
3 years ago
Read 2 more answers
Determine the value of k for which -3x^2+12x+k=0 has no real roots. ​
Crazy boy [7]

Answer:

K<-12

Step-by-step explanation:

+ For that, we need the delta negatif.

+ The delta= b^2-4ac=12^2-4(-3)(k)=144+12k<0

Then, 12k<-144 (divise both sides by 12)

we have k<-12

Or an other way:

-3x^2+12x+k=0  (divise both sides by -3)

x^2-4x-k/3=0

x^2-4x+4 -4-k/3=0

(x-2)^2=4+k/3

Now , we need 4+k/3<0, k/3<-4 or k<-12

Hope you understand.

4 0
3 years ago
Identify the correct equation of the parabola.
Dmitriy789 [7]

The correct equations of a parabola are  z = 2(y-9)²-2 and y = 2(z-2)²-9.

This is a problem with coordinate geometry. We can solve this by following a few steps.

First of all we should know the ideal equation of a parabola. The equation is,

  • x = a( y - h )² + k
  • y = a( x - k )² + h
  • where ( h, k ) is the vertex of the parabola.

From all those options only last two equations satisfy the conditions.

  •  z = 2(y-9)²- 2
  • y = 2(z-2)²- 9

Where the coordinate of the vertex of this parabola is ( 9, 2 ).

Hence we can conclude that z = 2(y-9)²-2 and y = 2(z-2)²-9 are the correct equation of a parabola.

To know more about parabola visit,

 brainly.com/question/21685473?referrer=searchResults

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5 0
1 year ago
An octagon has seven sides which have a length of k feet. The eighth side has a length of 3.9 feet, as shown below. The perimete
diamong [38]

Answer:

K is 3.4 feet

Step-by-step explanation:

To find the perimeter of the octagon, we add up the lengths of all the sides

For this particular octagon;

7 * k + 3.9 = 27.7

7k + 3.9 = 27.7

7k = 27.7-3.9

7k = 23.8

k = 23.8/7

k = 3.4 feet

7 0
3 years ago
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