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olga nikolaevna [1]
2 years ago
8

Question 14 of 25

Mathematics
1 answer:
babunello [35]2 years ago
7 0

Using the function concept, it is found that the correct option is:

  • C. Yes; the graph passes the vertical line test.

  • In a function, <u>one value of the input can be related to only one value of the output</u>.
  • In a graph, it means that <u>for each value of x(horizontal axis), there can only be one respective value of y(vertical axis)</u>. If it happens, it means that the graph passes the vertical line test.

In this graph, for <u>each value of x, there is only one value of y</u>, hence it passes the <em>vertical line test</em>, and option C is correct.

You can learn more about the function concept at brainly.com/question/12463448

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The sum of two numbers is 39. the second number is 6 more than half of the first number. let a represent the firstnumber and let
sweet-ann [11.9K]

Answer:

  • a = 22
  • b = 17

Step-by-step explanation:

Givens

Let a = the first number

Let b = the second number

Equations

a + b = 39

b = 1/2 * a + 6

Put the second equation into the first one

a + 1/2 * a +   6 = 39                  Simplify the left.

(3/2)a + 6 = 39                           Subtract 6 from both sides

(3/2)a + 6 - 6 = 39 - 6                Combine

(3/2)a = 33                                  Multiply both sides by 2

3a = 33*2

3a = 66                                       Divide both sides by 3

3a/3 = 66/3

a = 22

b = 1/2 a + 6

a = 22

b = 1/2 * 22 + 6

b = 11 + 6

b = 17

Check

22 + 17 = 39

6 0
2 years ago
Matrix A is said to be involutory if A2 = I. Prove that a square matrix A is both orthogonal and involutory if and only if A is
goblinko [34]

Answer:

4 · 1/4 (I-0) = (A-0)∧2

see details in the graph

Step-by-step explanation:

Matrix A is expressed in the form A∧2=I

To proof that Matrix A is both orthogonal and involutory, if and only if A is symmetric is shown by re-expressing that

A∧2=I in the standard form

4 · 1/4 (I-0) = (A-0)∧2

Re-expressing

A∧2 = I as a graphical element plotted on the graph

X∧2=I

The orthogonality is shown in the graphical plot displayed in the picture. Orthogonality expresses the mutually independent form of two vectors expressed in their perpendicularity.

7 0
3 years ago
If the ones digit of a number greater than 1 is 0,what factor or factors must that number have
nasty-shy [4]

If the units digit is zero, then you have an even number ...
' 2 ' must be one of its factors.

It must also have two or more places ... it's greater than 9.
If it had only one place, and its units digit were zero, then
the whole thing would be zero.

Since it has two or more places,  5  and  10  are also factors.

7 0
3 years ago
Find the surface area of the prism
steposvetlana [31]

Answer:

The picture is too blurry. could you submit a new photo?

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
2. Four friends share 3 apples equally.
ra1l [238]

Answer:

1/4

Have a great day!

6 0
3 years ago
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