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3 years ago

11x + 6y = 6 then graph the equation

Mathematics

1 answer:

maw [93]3 years ago

6 0

Answer:

Step-by-step explanation:

Use the intercept method of graphing a straight line:

Let x = 0. We get y = 1. This is the y-intercept (0, 1).

Let y = 0. We get x = 6/11. This is the x-intercept (6/11, 0).

Plot both points and then draw a straight line through them.

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Stress at work: In a poll conducted by the General Social Survey, 80% of respondents said that their jobs were sometimes or alwa

Svet_ta [14]

Answer:

a) P=0.019

b) P=0.263

c) P=0.794

Step-by-step explanation:

We assume that the poll gives the population's proportion of respondents said that their jobs were sometimes or always stressful (p=0.8).

Then, a sample of size n=190 is taken.

The sample mean is:

$\mu=np=190*0.8=152$

The sample standard deviation is:

$\sigma=\sqrt{np(1-p)}=\sqrt{190*0.8*0.2}=\sqrt{30.4}=5.514$

The probability that 140 or fewer workers find their jobs stressful is:

$z=(X-\mu)/\sigma=(140.5-152)/5.514=-11.5/5.514=-2.08 \\\\P(X\leq140)=P(X$

Note: a correction for continuity is applied.

The probability that more than 155 workers find their jobs stressful is

$z=(X-\mu)/\sigma=(155.5-152)/5.514=3.5/5.514= 0.635 \\\\P(X>155)=P(X>155.5)=P(z>0.635)=0.263$

The probability that the number of workers who find their jobs stressful is between 145 and 158 inclusive is:

$z_1=(X_1-\mu)/\sigma=(158.5-152)/5.514=6.5/5.514= 1.179\\\\ z_2=(X_2-\mu)/\sigma=(144.5-152)/5.514=-7.5/5.514= -1.360 \\\\ P(145\leq X\leq 158)=P(144.5< X< 158.5)\\\\P(145\leq X\leq 158)=P(X$

5 0

3 years ago

Read 2 more answers

A figure is dilated by a scale factor of 3. If the origin is the center of dilation, what is the image of a vertex located at (3

Elenna [48]

Answer:

Step-by-step explanation:

5 0

3 years ago

Add-ons Helplast edit was seconds ago

aleksandr82 [10.1K]

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6 0

3 years ago

Rewrite the function in standard form, intercept form, find the vertex, find the y-intercept, and find the x-intercepts.

jasenka [17]

Answer:

We have the function, $f(x)=(x+3)^{2}-4$

On simplifying, we get,

$f(x)=x^2+6x+9-4$

i.e. $f(x)=x^2+6x+5$

Thus, the standard form of the function is $f(x)=x^2+6x+5$ .

Now, the factors of the given functions are (x+1) and (x+5).

Since, the intercept form of the function is the factored form of the function.

So, we have, intercept form of the function is $f(x)=(x+1)(x+5)$ .

Now, we know that,

Value of x-coordinate of the vertex is $\frac{-b}{2a}$ i.e. $\frac{-6}{2\times 1}$ i.e. $\frac{-6}{2}$ i.e. x= -3

Then, $f(-3)=(-3)^2+6\times (-3)+5$ i.e. $f(-3)=9-18+5$ i.e. f(-3)=-4

So, the vertex of the function is (-3,-4).

Further, we know that, 'the y-intercept of a function is the point where the function crosses y-axis'.

So, when x=0, we have, $f(0)=0^2+6\times 0+5$ i.e. f(0) = 5

Thus, the y-intercept is (0,5)

Also, 'the x-intercept of a function is the point where the function crossese x-axis'.

Then, for f(x)=0, we have $0=x^2+6x+5$ i.e. $0=(x+1)(x+5)$ i.e. x= -1 and x= -5

Thus, the x-intercept are (-1,0) and (-5,0).

8 0

3 years ago

The graph of f(x) = x+ was transformed to create the graph of g(x) = f(x) - 9.

Ludmilka [50]

Answer:

Step-by-step explanation:

3 0

2 years ago

11x + 6y = 6 then graph the equation ​

11x + 6y = 6 then graph the equation