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shepuryov [24]
3 years ago
7

Determine the intercepts of the line .

Mathematics
2 answers:
grin007 [14]3 years ago
8 0

Answer:

x-intercept

4x-1=3(0)+5

4x-1=0+5

4x-1=5

4x=5+1

<u>4</u><u>x</u> = <u>6</u>

4. 4

x= 1.5

1.5,0

y-intercept

4(0)-1=3y+5

0-1=3y+5

-1=3y+5

3y=5+1

<u>3</u><u>y</u>=<u>6</u>

3. 3

y= 2

0,2

tester [92]3 years ago
6 0

Answer:

x- int = (1.5,0)

y-int = (0, -2)

Step-by-step explanation:

Graphing Calculator

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qaws [65]

The equation to find the circumference of a circle is ...

c = π × d

All we need to do to find circumference is to <em><u>multiply</u></em> the diameter (16km) by pi (π)

c = π × 16

c = 50.27

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3 years ago
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Which of the following is true for the relation f(x) = x2 + 8? Only the inverse is a function. Both the equation and its inverse
Alchen [17]

<u>ANSWER</u>

Only the equation is a function

<u>EXPLANATION</u>

f(x)=x^2+8 is graphed above with its inverse f^{-1}(x)=\pm \sqrt{x-8}.


We perform the vertical line test for both the equation and its inverse.


The equation f(x)=x^2+8 passed the vertical line hence it is a function.

However, f^{-1}(x)=\pm \sqrt{x-8} failed the vertical line test, hence it is not a function.


3 0
3 years ago
Computer Action Company sells computers and computer parts by mail. The company assures its customers that products are mailed a
Scorpion4ik [409]

Answer:

The t distribution is used, because we have the standard deviation for the sample.

Step-by-step explanation:

When to use the z or the t distribution?

When we have the standard deviation for the population, we use the z distribution.

When we have the standard deviation for the sample, we use the t distribution.

In this question:

We have the standard deviation for the sample, which means that the t distribution is used.

8 0
3 years ago
There are 4 people at a party. Consider the random variable X=’number of people having the same birthday ’ (match only month, N=
yulyashka [42]

Answer:

S = {0,2,3,4}

P(X=0) = 0.573 , P(X=2) = 0.401 , P(x=3) = 0.025, P(X=4) = 0.001

Mean = 0.879

Standard Deviation = 1.033

Step-by-step explanation:

Let the number of people having same birth month be = x

The number of ways of distributing the birthdays of the 4 men = (12*12*12*12)

The number of ways of distributing their birthdays = 12⁴

The sample space, S = { 0,2,3,4} (since 1 person cannot share birthday with himself)

P(X = 0) = \frac{12P4}{12^{4} }

P(X=0) = 0.573

P(X=2) = P(2 months are common) P(1 month is common, 1 month is not common)

P(X=2) = \frac{3C2 * 12P2}{12^{4} } + \frac{4C2 * 12P3}{12^{4} }

P(X=2) = 0.401

P(X=3) = \frac{4C3 * 12P2}{12^{4} }

P(x=3) = 0.025

P(X=4) = \frac{12}{12^{4} }

P(X=4) = 0.001

Mean, \mu = \sum xP(x)

\mu = (0*0.573) + (2*0.401) + (3*0.025) + (4*0.001)\\\mu = 0.879

Standard deviation, SD = \sqrt{\sum x^{2} P(x) - \mu^{2}}  \\SD =\sqrt{ [ (0^{2} * 0.573) + (2^{2}  * 0.401) + (3^{2} * 0.025) + (4^{2} * 0.001)] - 0.879^{2}}

SD = 1.033

4 0
3 years ago
Evaluate the expression for x=6<br> 4×+6
alexira [117]

Answer:

30

Step-by-step explanation:

x=6

4 by 6 =24

24 + 6 =30

7 0
3 years ago
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