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3 years ago

Determine whether the graph is the graph of a function.

Mathematics

2 answers:

photoshop1234 [79]3 years ago

8 0

Answer:

Yes

Step-by-step explanation:

Unless the line is vertical, the graph of any straight line is the graph of a function.

___

A vertical line does not map x to one single y-value, so it does not represent a function. Any other line does map each x to a single y-value, so does represent a function.

Arada [10]3 years ago

5 0

<h2>Answer:</h2>

Yes, the graph is the graph of a function.

<h2>Step-by-step explanation:</h2>

<u>Function--</u>

A function is a collection of all the ordered pair such that each element of the first set is mapped to a single element of the other set.

i.e. each element has a single image.

i.e. no elements of the first set is mapped to more than one element.

Also, the graph of the function passes the vertical line test.

i.e. any line passing through the domain and parallel to the y-axis should intersect the graph at least once.

Hence, from the graph we observe that the graph passes the vertical line test.

Hence, the graph is a graph of a function.

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Another question like the last, please help!!!

gizmo_the_mogwai [7]

W(2) = 2^2 + 2 = 4 + 2 = 6
u(w(2)) = -x -2 = -6 - 2 = -8

answer: u(w(2)) = -8

5 0

3 years ago

Select all correct answers

Luden [163]

<h2>Answer = </h2><h2> $= \frac{1}{y {}^{5} x {}^{2} }$ </h2>

Step-by-step explanation:

Greetings !

simplify for variable y first

apply exponent rule

$a {}^{b} .a {}^{c} = a {}^{b +c \\ } \\ y {}^{ - 8}y {}^{5} = y {}^{ - 8 + 3}$

Add/subtract the numbers -8+3=5

$= y {}^{5}$

Apply exponent rule

$a {}^{ - b} = \frac{1}{a {}^{b} }$

Thus,

$y {}^{ - 5} = \frac{1}{y {}^{5} }$

secondly, simplify for the variable x

Apply exponent rule as we made on y

$x {}^{ - 2}$

$x {}^{ - 2} = \frac{1}{x {}^{2} }$

multiply bot the values we get

Hope it helps!

5 0

1 year ago

Can you extend the zero product property to non zero products of numbers? For example, if ab=8, is it always true that a=8 or b=

larisa [96]

That is not always true because think of it as ab=8 that is just like saying (8)(8)=8 which is absolutely false. If anything it can be either a or be equals 8 while the other variable is 1. (1)(8)=8 or (8)(1)=8

4 0

3 years ago

Which one is it........

ruslelena [56]

$\begin{cases}4(x+y)=2x+12\\4x+y=x+8\end{cases}\\\\\\
\begin{cases}4x+4y=2x+12\quad|-2x\\4x+y=x+8\quad|-x\end{cases}\\\\\\
\begin{cases}4x+4y-2x=12\\4x+y-x=8\end{cases}\\\\\\
\boxed{\begin{cases}2x+4y=12\\3x+y=8\end{cases}}$

3 0

3 years ago

n a jar of coins, the ratio of nickels to dimes is 5:7. If the jar contains 350 dimes, how many nickels are there?

irina1246 [14]

Answer:

250 nickles

Step-by-step explanation:

Nickles and dimes are coins with different currency values. One nickel(N) is equal to 5 cents while one dime(D) is equal to 10 cents. The ratio of nickel:dime is 5:7, to put into the equation it will be:

N/D= 5/7

7N=5D ---> 1st equation

There are 350 dimes, the equation will be:

D=350 ----> 2nd equation

We can find out the number of nickels by substitute the 2nd equation into the first. The calculation will be

7N=5D

N= 5D/7

N=5(350)/7

N= 250

4 0

3 years ago