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3 years ago

Which equation represents a proportional relationship? A) y = x 8 B) y = 8 x C) y = x 8 + 8 D) y = 8 x + 8

Mathematics

1 answer:

Liula [17]3 years ago

6 0

Answer:

B y=8x

Step-by-step explanation:

A proportional relationship must go through the point x=0, y=0 and be in the form y=kx where x is a constant

A) y = x^8

B) y = 8 x

C) y = x^8 + 8

D) y = 8 x + 8

The only points that is in the form y= kx is option B

C and D do not go through x=0, y=0 and A is not in the form y=kx where k is a constant

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Most college-bound students take either the SAT(Scholastic Assessment Test) or the ACT (which originally stood for American coll

Jlenok [28]

Answer:

Luis would need to have a SAT score of 574.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Nicole's z-score:

ACT scores have a mean of about 21 with a standard deviation of about 5, which means that $\mu = 21, \sigma = 5$

Nicole gets a score of 24, which means that $X = 24$ . Her z-score is:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{24 - 21}{5}$

$Z = 0.6$

What score would Luis have to have on the SAT to have the same standardized score(z-score) as Nicole's standardized score on the ACT?

Luis would have to get a score with a z-score of 0.6, that is, X when Z = 0.6.

SAT scores have a mean of about 508 with a standard deviation of about 110, which means that $\mu = 508, \sigma = 110$ .

The score is:

$Z = \frac{X - \mu}{\sigma}$

$0.6 = \frac{X - 508}{110}$

$X - 508 = 0.6*110$

$X = 574$

Luis would need to have a SAT score of 574.

8 0

3 years ago

Which expressions have the same value as .04 x .005. Select all that apply.

Novay_Z [31]

Answer:

Hello There!!

Step-by-step explanation:

0.04×0.005=0.0002

.0002 ✔

(4/100)=>0.04 × (5/1000)=>0.005=0.0002 ✔

(4 × .01)=>0.04 × (5 × .001)=>0.0005 =0.00002 ❌

.002 ❌

4 × 5 × .00001=0.0002 ✔

hope this helps,have a great day!!

~Pinky~

4 0

3 years ago

A bill from a plumber was $306 The plumber charged $150 for parts and $52 per hour for labor. How long did ths plumber work at h

ludmilkaskok [199]

We can make an equation from this.
Our intial value is 150 for parts, and he works for 52 dollars an hour.
We can define <em /><em>h</em> for hours and <em /><em>c</em> for total cost.
Therefore, we have:
c = 150 + 52h.
We can set this equal to 306 dollars, as that's the given total cost:
306 = 150 + 52h
Subtract 150 from both sides:
52h = 156
Divide both sides by 2:
h = 3
He worked 3 hours.
hope this helped!

6 0

3 years ago

Please help I will give Brainliest please!

WITCHER [35]

Part (a)

The domain is the set of allowed x inputs of a function.

The graph shows that x = 0 is not allowed because of the vertical asymptote located here. It seems like any other x value is fine though.

<h3>Domain: set of all real numbers but $x \ne 0$ </h3>

To write this in interval notation, we can say $(-\infty, 0) \cup (0, \infty)$ which is the result of poking a hole at 0 on the real number line.

--------------

The range deals with the y values. The graph makes it seem like it stretches on forever in both up and down directions. If this is the case, then the range is the set of all real numbers.

<h3>Range: Set of all real numbers</h3>

In interval notation, we would say $(-\infty, \infty)$ which is almost identical to the interval notation of the domain, except this time of course we aren't poking at hole at 0.

=======================================================

Part (b)

<h3>The x intercepts are x = -4 and x = 4</h3>

We can compact that to the notation $x = \pm 4$

These are the locations where the blue hyperbolic curve crosses the x axis.

=======================================================

Part (c)

<h3>Answer: There aren't any horizontal asymptotes in this graph.</h3>

Reason: The presence of an oblique asymptote cancels out any potential for a horizontal asymptote.

=======================================================

Part (d)

The vertical asymptote is located at x = 0, so the equation of the vertical asymptote is naturally x = 0. Every point on the vertical dashed line has an x coordinate of zero. The y coordinate can be anything you want.

<h3>Answer: x = 0 is the vertical asymptote</h3>

=======================================================

Part (e)

The oblique or slant asymptote is the diagonal dashed line.

It goes through (0,0) and (2,6)

The equation of the line through those points is y = 3x

If you were to zoom out on the graph (if possible), then you should notice the branches of the hyperbola stretch forever upward but they slowly should approach the "fencing" that is y = 3x. The same goes for the vertical asymptote as well of course.

<h3>Answer: Oblique asymptote is y = 3x</h3>

5 0

3 years ago

What is - 4i ^ 19, simplify

german

Answer:

$"i"$