All categories

3 years ago

For a ,a relationship to be a function, which values cannot repeat: the x-

Mathematics

1 answer:

koban [17]3 years ago

8 0

Answer:

<h2> The x - values</h2>

The y-values repeat in various functions (for example: quadratic function: y=x²; y=4 for x=2 and for x=-2)

You might be interested in

39. State the equation for the line described below.

devlian [24]

Answer:

Step-by-step explanation:

39). y = $-\frac{7}{8}$ x + 3

40). m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

y - $y_{1}$ = m( x - $x_{1}$ )

(- 7, 5)

( - 12, 4)

m = ( 4 - 5 ) / ( - 12 + 7) = 1/5

y - 5 = (1/5)(x + 7) ⇒ y = $\frac{1}{5}$ x + 6.4

8 0

2 years ago

Challenge #1

o-na [289]

Answer:

Translate 10 units right, 9 units up

Step-by-step explanation:

translations simply take the image and move it up or down or side to side, reflections flip the image, dilation changes the dimensions of an image, and rotation rotates an image on its origin point.

8 0

3 years ago

For the love of God help me !! I'm desperate for it tomorrow

Eduardwww [97]

Try to relax. Your desperation has surely progressed to the point where
you're unable to think clearly, and to agonize over it any further would only
cause you more pain and frustration.
I've never seen this kind of problem before. But I arrived here in a calm state,
having just finished my dinner and spent a few minutes rubbing my dogs, and
I believe I've been able to crack the case.

Consider this: (2)^a negative power = (1/2)^the same power but positive.

So:
Whatever power (2) must be raised to, in order to reach some number 'N',
the same number 'N' can be reached by raising (1/2) to the same power
but negative.

What I just said in that paragraph was: log₂ of(N) = <em>- </em>log(base 1/2) of (N) .
I think that's the big breakthrough here.
The rest is just turning the crank.

Now let's look at the problem:

log₂(x-1) + log(base 1/2) (x-2) = log₂(x)

Subtract log₂(x) from each side:

log₂(x-1) - log₂(x) + log(base 1/2) (x-2) = 0

Subtract log(base 1/2) (x-2) from each side:

log₂(x-1) - log₂(x) = - log(base 1/2) (x-2) Notice the negative on the right.

The left side is the same as log₂[ (x-1)/x ]

==> The right side is the same as +log₂(x-2)

Now you have: log₂[ (x-1)/x ] = +log₂(x-2)

And that ugly [ log to the base of 1/2 ] is gone.

Take the antilog of each side:

(x-1)/x = x-2

Multiply each side by 'x' : x - 1 = x² - 2x

Subtract (x-1) from each side:

x² - 2x - (x-1) = 0

x² - 3x + 1 = 0

Using the quadratic equation, the solutions to that are
x = 2.618
and
x = 0.382 .

I think you have to say that <em>x=2.618</em> is the solution to the original
log problem, and 0.382 has to be discarded, because there's an
(x-2) in the original problem, and (0.382 - 2) is negative, and
there's no such thing as the log of a negative number.

There,now. Doesn't that feel better.

4 0

2 years ago

You spin the spinner and flip a coin. Find the probability of the compound event.

Mademuasel [1]

Answer:

The probability of spinning an even number and flipping heads is 1/4

Step-by-step explanation:

You spin the spinner and flip a coin.

A spinner that has 1 of each number, 1-6

Total events =12

(1,H),(2,H),(3,H),(4,H),(5,H),(6,H)

(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)

We are supposed to find probability of spinning an even number and flipping heads

Favorable events : (2,H),(4,H)(6,H) = 3

Total events = 12

The probability of spinning an even number and flipping heads = $\frac{3}{12}=\frac{1}{4}$

Hence The probability of spinning an even number and flipping heads is 1/4

7 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%264%5C%5C8%26-5%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%

brilliants [131]

Answer:

What's this? I don't understand.

4 0

3 years ago

Read 2 more answers