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Dovator [93]
2 years ago
12

Find an equation for the line that passes through the points (-6, 3) and (6, -6).

Mathematics
2 answers:
MrRissso [65]2 years ago
7 0
Slope=-9/12 = -3/4

y=mx+b y=-3/4x+b

3=-3/4(-6)+b

b=3+9/2=7.5

Equation is y=-0.75x+7.5
Georgia [21]2 years ago
6 0

Answer:

y = -\frac{3}{4}x-\frac{3}{2}

Step-by-step explanation:

First, calculate the slope of the line:

m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{(-6) - 3}{6 - (-6)}\\m = \frac{-9}{12}\\m = \frac{-3}{4}

Next, calculate the y-intercept:

<em>Choose any point on the line</em>.

(-6,3)

Solve for b.

y = mx + b\\b = y - (mx)\\b = 3 - (\frac{-3}{4} * -6)\\b = 3 - \frac{9}{2}\\b = \frac{-3}{2}

Finally, create the equation:

 y = -\frac{3}{4}x-\frac{3}{2}

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Answer:

The required inequality is 50w+100\geq 18000

Step-by-step explanation:

Consider the provided information.

You get  100 points for playing the game. In addition, you get  50 points for each seven-letter word you make with the ten letters you receive.

Let w represents a seven letter word which Sal will need to make to break the record.

She gets 100 points for playing the game and 50 points for each seven-letter

Therefore the total points earned is: 50w+100

Sal wants to break the record, and she needs 18,000 points or more.

Thus, the required inequality will be: 50w+100\geq 18000

Hence, the required inequality is 50w+100\geq 18000

3 0
3 years ago
Miley drove 288 miles in 4 1/2 hours. What was Miley's average speed in miles per hour?
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It is C) 64 mph. Brainliest?
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3 years ago
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The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. Th
Mila [183]

Answer:

The calculated t-value is t=0.47.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Americans typically eat quickly and do not spend time enjoying their meal. A researcher plans to test if those trained in mindfulness will take more time to enjoy their meal (that is, they will spend more time eating than the general population). The general population spends an average of 68 minutes per day combined eating their three meals. The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. The sample mean for those trained in mindfulness equals 74; the SS = 150. What is the calculated t-value? Round your answer to two decimal places."</em>

The degrees of freedom are (n-1)=(16-1)=15

The standard deviation is:

s=\sqrt{\frac{SS}{n-1}}=\sqrt{\frac{150}{16-1}}=\sqrt{10}=3.16

The t-value can be calculated as:

t=\frac{M-\mu}{\sigma/\sqrt{n}} =\frac{74-68}{3.16/\sqrt{16}} \\\\t=\frac{6}{3.16*4}=\frac{6}{12.64}= 0.47

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Answer:

+10

Step-by-step explanation:

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Kaia calculates the she spends 75 minutes of a school day in science class. If she spends 500 minutes in school, what percent of
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Answer:

15%

Step-by-step explanation:

Since a percent is out of 100 we can make 75/500 to have the denominator of 100.

To do that you divide

500/5 = 100

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75/5 = 15

whatever you do to one side you must do to the other that's why I divided both sides by 5. The ending fraction would be 15/100 which is the same as 15%

Hope that helps and have a great day!

7 0
3 years ago
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