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3 years ago

Write a system of equations with the solution (-3,-8) in standard form.

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

3 0

Answer:

y=2x-2

y=3x+1

Step-by-step explanation:

To solve this I will be using the point slope formula

It is as follows

y-y₁=m(x-x₁)

We can choose any m value so I will be choosing m=2

(x₁,y₁) will be (-3,-8) respectively because all we want is for the line to pass through that point

so we have

y-(-8)=2(x-(-3)

We can simplify this to

y+8=2(x+3)

y+8=2x+6

y=2x-2

We then repeat this process but choose a new m (the m value doesn't really matter as long as it's not 0)

I will choose 3

so we have

y-(-8)=3(x-(-3))

Which gives u

y+8=3(x+3)

y+8=3x+9

y=3x+1

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gavmur [86]

The answer is c.

(a)

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(b)

unknown formula

(c)

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4 * 3 = 12
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3 years ago

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2 years ago

Read 2 more answers

Solve for x: 5x + 2 = 4x - 9.

AlekseyPX

Answer:

Step-by-step explanation:

5x + 2 = 4x - 9

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3 years ago

Read 2 more answers

Anty was riding his bike to school at a speed of 12 mph. When he was of the way there, he got a flat tire. His mother drove him

NemiM [27]

Complete question:

Anty was riding his bike to school at a speed of 12 mph. When he was <u>half </u>of the way there, he got a flat tire. His mother drove him the rest of the way at a speed of 48 mph. What was his average speed?

Answer:

His average speed is 19.2 mph

Step-by-step explanation:

Given;

speed of Anty to school half of the way, v₁ = 12 mph

speed of Anty when his mother drove him half of the way, v₂ = 48 mph

The average speed of Anty is calculated as;

$V_{average} = \frac{Total \ distance }{Total \ time }$

The value of the average speed is closer to 12 mph than 48 mph because Anty spent more time moving at 12 mph than at 48 mph.

Let the equal distance travel at each speed = 96 miles

Time taken at 12 mph = $\frac{96 \ mile}{12 \ m/h} = 8 \ hours$

Time taken at 12 mph = $\frac{96 \ mile}{48 \ m/h} = 2 \ hours$

Average speed = $\frac{Total \ distance}{Total \ time } = \frac{96 \ mile \ + \ 96 \ mile}{2\ hr \ + \ 8\ hr} = \frac{192 \ miles}{10 \ hrs} = 19.2 \ mph$

Also, you can assume any other equal distance traveled at each speed, the average speed will still be 19.2 mph.

<u>Check:</u> let the equal distance traveled at each speed = 480 miles

Time taken at 12 mph = 480/12 = 40 hours

Time taken at 48 mph = 480/ 48 = 10 hours

Average speed = (480 + 480) / (40 + 10)

= 19.2 mph

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3 years ago

For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify wh

vfiekz [6]

The question is not complete, so i have attached it.

Answer:

A) Option B: μ ≤ 19,000

B) Option C:

H0: μ ≤ 19,000

Ha: μ > 19,000

C) Option D: The null hypothesis H0: μ ≤ 19,000 is the claim

Step-by-step explanation:

A) From the question, we are told that an amusement park claims that the mean daily attendence at the park is at most 19,000 people.

Now, since it's at most 19000 people, it means that they are either 19000 or less. So the claim is;

μ ≤ 19,000 which is option B

B) Now, the claim is usually the null hypothesis. Thus, the null hypothesis is;

H0: μ ≤ 19,000

While the alternative hypothesis which states the opposite of the claim is;

Ha: μ > 19,000

So, option C is the correct answer

C) The claim is μ ≤ 19,000

Now, this also happens to be the null hypothesis.

Thus, the null hypothesis H0: μ ≤ 19,000 is the claim.

So option D is correct.

6 0

3 years ago