Can someone please help me as soon as possible!

In a graph what function is a nonvertical line or part of a nonvertical line.

timama [110]

A function cannot have multiple outputs (y-values) for any given input (x-values). For example, y=2x+3 is a function because no mater what number x represents, there is a single, unique y-value (When x=3 y=9 ). In other words, you can never have two (or more) y-values that correspond to a single x-value. Therefore, a vertical line, for example x=2, cannot be a function because it has an infinite amount of y-values for a single x-value. A horizontal line is a function because there is only one y-value for any given x-value. For example, y=3. No mater what x-value is used, there is only one y-value possible (in this case, y will always equal 3). I am, of course, referring to the cartesian coordinate system, also known as the rectangular coordinate system

5 0

4 years ago

How many solutions does this equation have

larisa86 [58]

Answer:

Two solutions

Step-by-step explanation:

This is a quadratic equation in the form y = ax² + bx + c.

For quadratic equations, you can find solutions using the quadratic formula:

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

To find the number of solutions, you only need what's inside the square root. We call it the "discriminant" because lets us know the number of solutions without solving.

$b^{2}-4ac$

If b²- 4ac > 0, two solutions. (greater than)

If b²- 4ac < 0, no solutions. (less than)

If b²- 4ac = 0, one solution. (equal to)

y = ax² + bx + c

y = -3x² + x + 12

a = -3 b = 1 c = 12

Substitute into the discriminant

b²- 4ac

= 1² - 4(-3)(12)

= 1 - (-144)

= 145 > 0

b²- 4ac > 0 Discriminant greater than 0

Therefore, there are two solutions.

7 0

3 years ago

Oscar cuts grass for $20 a lawn. He is saving to purchase an Mp3 player that costs $249.99. He will also have to pay 6% saless t

Anna35 [415]

He would have to mow 14 lawns. To find the answer you would multiply 249.99 by 6%, then add the answer and round and you would get 264.99. 20 x 14 equals $280, so if he mowed 14 lawns and get $20 per lawn, he would buy the Mp3 and still have 15.01 leftover.

Hope this helps!

5 0

4 years ago

Read 2 more answers

In one year the perseid metor shower had a metor appear every 1/5 5 minutes on average That same year the Leonid metor shower ha

olga55 [171]

In one year, the Perseid meteor shower had a meteor appear every 1 1/5 minutes on average. That same year, the Leonid meteor shower had a meteor appear every 4 2/3 minutes on average. How many more meteors fell during the Perseid meteor shower?

Answer:

325,452 meteors

Step-by-step explanation:

We all know that :

We have 365 days in a year and in each day there are 24 hours, Likewise an hour has 60 minutes

SO, the total number of minutes in a year is :

365 × 24 × 60 = 525600 minutes

For Perseid meteor:

$1 + \frac{1}{5} \\ \\ = 1 + 0.2 \\ \\ = 1.2$

So one meteor fall at 1.2 minutes interval Thus, in a year, we will have :

1 meteor - 1.2 minutes.

x meteor - 525600 minutes.

1.2x = 525600

$x = \frac{525600}{1.2}$

x = 438000

∴ 438,000 meteors fell during the Perseid shower.

For Leonid meteor shower:

$4 + \frac{2}{3} = 4.67$

So one meteor fall at 4.67 minutes interval Thus, in a year, we will have :

1 meteor - 4.67 minutes.

x meteors - 525600 minutes.

$4.67x = 525600$

$x = \frac{525600}{4.67}$

x = 112548

112,548 meteors fell during the Leonid Shower.

Finally , the numbers of more meteors that fell during the Perseid meteor shower is calculated by the difference in the number of Perseid meteor shower and Lenoid meteor shower. i.e

438,000 - 112,548 = 325,452

325,452 more meteors fell during the Perseid meteor shower

5 0

3 years ago

If log 6=.7781 then what is log 60,000

pashok25 [27]

By using the calculator, log 6 = 0.7781...

log 60,000 is just equal to log (6 * 10,000)
log (6 * 10,000) = log 6 + log 10,000

As we know that log 10 = 1, log 100 = 2, log 1000 = 3, and so on.
So log 10,000 = 4

Going back to our equation,
log (6 * 10,000) = log 6 + log 10,000
log 60,000 = 0.7781 + 4

So log 60,000 = 4.7781

7 0

3 years ago