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ANEK [815]
3 years ago
14

The scatter plot below shows the relationship between the length (x) in meters and mass f(x) in kg of a marine animal

Mathematics
1 answer:
Semmy [17]3 years ago
5 0

Answer:

Option C.

Step-by-step explanation:

As we can see from the graph, we have plotted the different points.

If the line drawn through the scatter plots, shows the relationship between the length x and mass f(x) then the function will be in the form of

f(x) = mx + b

where m = slope of the line that fits the best

b = y-intercept of the line

Since the plotted line passes through two pints (1, 1) and (10, 94).

Then the slope m = \frac{y-y'}{x-x'}

m = \frac{(94-1)}{10-1}

m = \frac{93}{9}

m = 10.3

Now we place the coordinates (1, 1) in the equation to find the value of y-intercept b.

1 = 10.3 + b

b = 1 - 10.3

b = -9.3 ≈ 9

So the function will be f(x) = 10.3x - 9

Option C is the answer.

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What is the sum of all values of m that satisfy 2m (squared) -16m+8=0?
vodomira [7]
<h2>Steps:</h2>

So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:

2m^2-16m=-8

Next, divide both sides by 2:

m^2-8m=-4

Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:

-8 ÷ 2 = -4, (-4)² = 16

Add 16 to both sides of the equation:

m^2-8m+16=12

Next, factor the left side:

(m-4)^2=12

Next, square root both sides of the equation:

m-4=\pm \sqrt{12}

Next, add 4 to both sides of the equation:

m=4\pm \sqrt{12}

Now, while this is your answer, you can further simplify the radical using the product rule of radicals:

  • Product rule of radicals: √ab = √a × √b

√12 = √4 × √3 = 2√3.

m=4\pm 2\sqrt{3}

<h2>Answer:</h2>

In exact form, your answer is m=4\pm \sqrt{12}\ \textsf{OR}\ m=4\pm 2\sqrt{3}

In approximate form, your answers are (rounded to the hundreths) m=7.46, 0.54

6 0
3 years ago
Find the area of the larger sector.
Wewaii [24]

Step-by-step explanation:

the formula for the area of a sector is

(x°(r^2)π)/360

with x being the angle

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Hope that helps :)

3 0
3 years ago
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CaHeK987 [17]

<u><em>Answer: =2.23</em></u>

Step-by-step explanation:

Square root like this: √

5=2.23

You can also round up to the nearest hundredths and it's going to be stay. If the digit is 5 or more it's going to round up to the nearest tenths, hundredths, and thousandths.

Hope this helps!

Thank you!

Have a great day!


6 0
3 years ago
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kramer

Answer:

I think the answer is B. f(x) = -1/3x - 4

Step-by-step explanation:

Use the given functions to set up and simplify  

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