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4 years ago

Give the slope and y intercept 6x-3y=-9

1 answer:

5 0

To find the slope and the y-intercept of this equation, we need to first convert it to slope-intercept form. (y = mx + b)

To convert it, we need to first isolate the y term by subtracting 6x from both sides of the equation.

6x - 6x - 3y = -9 - 6x

-3y = -9 - 6x

Now that the y term is on one side of the equation, we can continue.

Divide <em>everything </em>on the left side of the equation by the coefficient on the right side of the equation. In this case, the number is 3.

y = -3 - 2x

Flip some of those numbers around to get this:

y = 2x - -3

Get rid of the double negative. (Change 2x - -3 into 2x + 3)

y = 2x + 3

Now that we've converted the equation, we can identify the slope (the number beside x) and y-intercept (the number that stands alone)

Slope: 2
Y-intercept: 3

You might be interested in

The outside temperature at midnight today in Polina's hometown was 18 degrees Fahrenheit. The temperature increases by 1.2 degre

densk [106]

Answer:

only students who have recess at 12 p.m. or later may go out

Step-by-step explanation:

Let the time after midnight be represented by t, and the temperature be y. Since the temperature increases by 1.2 degrees Fahrenheit each hour, the time taken to reach 32 degrees Fahrenheit can be gotten from:

y = 1.2t + 18

put y = 32

32 = 1.2t + 18

1.2t = 14

t = 14/1.2 = 11.67 hours

Since the recess starts at half hour or hour, hence the recess would start at t = 12 hours, i.e. at 12 p.m.

Hence only students who have recess at 12 p.m. or later may go out

4 0

3 years ago

The sum of Thalia and her brother's age is 41. If Thalia is three years older than her brother, how many years old is Thalia?

LekaFEV [45]

Answer:

the thalia age be 19 years

Step-by-step explanation:

Let us assume her brother age be x

Now the thalia age be x - 3

Now the equation would be

x + x - 3 = 41

2x = 41 + 3

2x = 44

x = 22

thalia age be

= 22 - 3

= 19

Hence, the thalia age be 19 years

And, her brother age be 22 years

The same is to be considered

4 0

3 years ago

What is the solution to (-14)^-2?<br>

GREYUIT [131]

Answer:

1/196

Step-by-step explanation:

$(-14)^-^2$
$\frac{1}{(-14)*(-14)}$

$\frac{1}{(-14)^2}$
$\frac{1}{196}$

4 0

3 years ago

Read 2 more answers

A coin is tossed 71 times and 34 heads are observed. Is the coin fair? Use a 98% level confidence interval to base your inferenc

Fofino [41]

Answer:

a) $\hat p=\frac{34}{71}=0.48$ estimated proportion of heads observed.

b) $Se= \sqrt{\frac{0.479(1-0.479)}{71}}=0.0593$

c) $z_{\alpha/2}=2.33$

d) $0.479 - 2.33 \sqrt{\frac{0.479(1-0.479)}{71}}=0.341$

e) $0.479 + 2.33 \sqrt{\frac{0.479(1-0.479)}{71}}=0.617$

f) In order to be fair the coin needs to have included the 0.5 on the interval, and for this case it's included, so we can say that at 2% of significance we can say that the coin is fair.

Step-by-step explanation:

Notation and definitions

$X=34$ number of heads observed.

$n=71$ random sample taken

$\hat p=\frac{34}{71}=0.479$ estimated proportion of heads observed.

$p$ true population proportion of heads observed.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

The point estimator for the population proportion of heads is: Answer with two decimal precision.

$\hat p=\frac{34}{71}=0.48$ estimated proportion of heads observed.

The standard error in this estimate is: Answer with four decimal precision.

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

And the standard error is given by:

$Se= \sqrt{\frac{\hat p(1-\hat p)}{n}}$

$Se= \sqrt{\frac{0.479(1-0.479)}{71}}=0.0593$

The correct table value for the 98% level confidence interval is: Answer with two decimal precision

For the 98% confidence interval the value of $\alpha=1-0.98=0.02$ and $\alpha/2=0.01$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.33$

The lower end point of the CI is: Answer with three decimal precision.

And replacing into the confidence interval formula we got:

$0.479 - 2.33 \sqrt{\frac{0.479(1-0.479)}{71}}=0.341$

The upper end point of the CI is: Answer with three decimal precision.

$0.479 + 2.33 \sqrt{\frac{0.479(1-0.479)}{71}}=0.617$

And the 90% confidence interval would be given (0.341;0.617).

Based on the confidence interval, it is plausible that the coin is fair.

In order to be fair the coin needs to have included the 0.5 on the interval, and for this case it's included, so we can say that at 2% of significance we can say that the coin is fair.

4 0

4 years ago

BRAINLIST AND A THANK YOU AND 5 stars WILL BE REWARDED PLS ANSER

vichka [17]

Answer:

The first picture's answer would be (6, 21)

Step-by-step explanation:

You have to find the points on the 8th and the 9th day, and then you would add them together, and then divide by two finding the average, which would be 24 and 18, so when added, you get 42, divided by 2 you get 21. You look on the graph for the point with 21, and you find it is on 6.

3 0

3 years ago