All categories

3 years ago

Does the table represent y as a function of x? Justify your answer.

Mathematics

1 answer:

Otrada [13]3 years ago

6 0

Answer:

Step-by-step explanation:

As per definition of the function, every x- value (input) has exactly one corresponding y-value (output)

<u>We can see on the table:</u>

x = 3.45 and y= 1.72
x = 3.45 and y = 3.36

Two same input values with different outputs.

So this not a function

You might be interested in

If A=6x^3-x^2+4x+8 and B= 2x^3+x-5 then A-B equals

Zarrin [17]

That would be c 4x^3-x^2+3x+13

4 0

2 years ago

Jean runs 8 mi and then rides 11 mi on her bicycle on a biathlon. She rides 9 mph faster than she runs. If the total time for he

Ipatiy [6.2K]

Let Jean's speed while running = x mph

Then Jean's speed while riding will be = x+9 mph

Distance covered by running = 8 miles

Distance covered by riding = 11 miles

Total time taken to complete the race = 1.5 hours

As, $time=\frac{distance}{speed}$

So, time for running= $\frac{8}{x}$

And time for riding= $\frac{11}{x+9}$

Equation becomes:

$\frac{8}{x}+\frac{11}{x+9}=1.5$

Now, multiply every term by 2x(x+9) to clear denominators:

$16(x+9)+22x=3x(x+9)$

Simplifying it we get

$3x^{2}-11x-144=0$

Solve the quadratic equation using formula

$x= \frac{-b+\sqrt{b^{2}-4ac }}{2a}$

putting a=3 , b= -11, c= -144

we get (x - 9)(3x + 16) = 0

where x=9 and x= $\frac{-16}{3}$

Neglect the negative answer as speed cannot be negative, so x = 9 mph

Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph

4 0

3 years ago

PLEASE HELP WILL MARK AS BRAINLEST

laiz [17]

It is 16 because 3x16=48 and 4x16=64!

7 0

3 years ago

Read 2 more answers

Does (-24,-12) and (-15,-9) line pass through point (18,2)?

Dmitrij [34]

Find the slope using the formula [ y2-y1/x2-x1 ].

-9-(-12)/-15-(-24)

3/9

1/3

Find the y-intercept using the formula [ y = mx + b ].

y = 1/3x + b

-12 = 1/3(-24) + b

-12 = -8 + b

-4 = b

Use (18, 2) to see if the line passes through it

y = 1/3x - 4

2 = 1/3(18) - 4

2 = 6 - 4

2 = 2 TRUE

Thus, the line does pass through (18, 2).

Best of Luck!

4 0

2 years ago

Read 2 more answers

It's said to say my question, but it's in the pic, so I don't know what to say. <br> But thanks

BARSIC [14]

Answer: A, or 0.2x

Step-by-step explanation:

To figure how expressions and percent's match up, replace the x with an easy number. For example, I use 4.

20% of 4 is 0.8, and 4 x 0.2 is also 0.8

Therefore, the expression to represent that percentage is A.

Also, the other answers were WAYYY off.

B, or x - 20 is flawed since x could be anything.

C, is also flawed in the same way.

And D makes -76.

A is the only sensible one and is proven to work.

Hope this helped!

-Nick

3 0

2 years ago

Does the table represent y as a function of x? Justify your answer.​

Does the table represent y as a function of x? Justify your answer.