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devlian [24]
2 years ago
7

And these..............

Mathematics
1 answer:
Reptile [31]2 years ago
3 0

Answer:

Y-intercept of the table = -3 and y-intercept of the graph is = -1.

Intercept of the graph is greater than the intercept of the table.

Step-by-step explanation:

Part (a).

To find the intercept of the table we have to choose two points.

Let (x,y)=(0,-3) and (x_1,y_1)=(3,3)

Using point intercept form we will calculate the slope(m).

y_1-y=m(x-x_1)

So,

⇒  m=\frac{(y_1-y)}{(x-x_1)}

Plugging the values.

⇒ m=\frac{(y_1-y)}{(x-x_1)}=\frac{3-(-3)}{3-0} =\frac{6}{3}=2

Using slope-intercept form we can calculate the y-intercept.

Slope intercept form y=m(x)+b

Y-intercept = b

Then, b=y-m(x)

Plugging the values of  (x_1,y_1)=(3,3) in slope intercept form.

We have,

b=y-m(x) =3-2(3)=3-6=-3

Y-intercept of the values given in the table = -3.

Part (b).

Y-intercept of the graph can be calculated by following the above procedure or simply just by looking onto it.

As the graph is passing through y = -1,so y-intercept of the graph = -1.

Y-intercept of the graph is greater than the y-intercept of the table values.

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Bezzdna [24]

Answer:

-4 =x

Step-by-step explanation:

2x - 5= 5x + 7

Subtract 2x from each side

2x-2x - 5= 5x-2x + 7

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Subtract 7 from each side

-5-7 = 3x+7-7

-12 = 3x

Divide by 3

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3 0
2 years ago
A radio station is giving away a $100 bill to every 30th caller and movie tickets to every 40th caller. Which call will be the f
Ymorist [56]

Answer:

120th caller

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

$100 bill = 30th caller

Movie tickets = 40th caller

So, to find out first to win both prizes, we will use LCM method,

LCM of 30 and 40 =       10 | 30 , 40

                                            | 3    , 4

LCM of 30 and 40 = 10 × 3 × 4 = 120

Hence, 120th caller will be the first to win both prizes.

3 0
3 years ago
7.1.35-T Question Help You are the operations manager for an airline and you are considering a higher fare level for passengers
shusha [124]

Answer:

You must survey 784 air passengers.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Assume that nothing is known about the percentage of passengers who prefer aisle seats.

This means that \pi = 0.5, which is when the largest sample size will be needed.

Within 3.5 percentage points of the true population percentage.

We have to find n for which M = 0.035. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.035 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.035\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.035}

(\sqrt{n})^2 = (\frac{1.96*0.5}{0.035})^2

n = 784

You must survey 784 air passengers.

6 0
2 years ago
PLEASE HELP ME!!! 5 POINTS+BRAINLEYEST!!!
Contact [7]

Answer:

A

Step-by-step explanation:

a) each state has different issues. it cant be c) because each state doesnt have the same issues and it cant be d because they can change the constitution depending on how everyone agrees or doesnt agree and it might be b) but its more likely going to be a)

7 0
3 years ago
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