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mylen [45]
3 years ago
8

Write a rule to describe the function shown. x y −6 −4 −3 −2 0 0 3 2

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0

Answer:

y= 2/3 x

Step-by-step explanation:

First plot the points on a Cartesian plan

You will notice a straight line passing through the origin (0,0)

Find the gradient of the line;

m=change in y/change in x

m=2-0/3-0 =2/3

Find the equation of the line

y-2/x-3 =2/3

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

3y-6= 2x-6

3y=2x-6+6

3y=2x

y=2/3 x + 0

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Write an expression to represent: Four less than the quotient of a number x and 5.
antoniya [11.8K]

Answer:

\frac{x}{5} - 4

Step-by-step explanation:

You are dividing x by 5 and then subtracting 4.

5 0
3 years ago
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Landon is a maintenance worker at an amusement park. He stands atop a raised platform of the park's most popular
Helga [31]

Answer:

the equation fits the situation, but the table doesn’t.

Step-by-step explanation:

For both functions, the lead roller coaster car starts at an initial height of 32 feet. This is the point (0,32), directly above Landon.

The car races past Landon’s field of vision (y = 0) after it moves a horizontal distance of 4 feet and then 8 feet with respect to the starting point. So, the correct function will have x-intercepts of 4 and 8.

Begin by checking the equation. Rewrite the equation in factored form:

f(x) = x^{3} − 11x^{2} + 20x + 32

= (x + 1)(x^{2} − 12x + 32)

= (x + 1)(x − 4)(x − 8)

The equation has x-intercepts of 4 and 8.

But the table only has one x-intercept, located at (4,0). The point (8,160) is well out of Landon’s line of sight.

So, the equation fits the situation, but the table doesn’t.

3 0
3 years ago
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At a shelter 15% of the dogs are puppies there are 60 dogs at the shelter. How many are puppies?
Bezzdna [24]
9 of the dogs are puppies
6 0
2 years ago
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Fernando has 15 favorite books. If 4/5 of the books are spy novels, how many of Fernando’s favorite books are spy novels?
Andreyy89

Answer:

12.8 so answer 12 or 13

Step-by-step explanation:

15÷5/8= 12.8

8 0
3 years ago
I just need some help in math. This problem specifically
larisa [96]

Answer:

∠ ABD = 37° , ∠ DBC = 58°

Step-by-step explanation:

∠ ABD + ∠ DBC = ∠ ABC , substitute values

2x + 23 + 9x - 5 = 95 , that is

11x + 18 = 95 ( subtract 18 from both sides )

11x = 77 ( divide both sides by 11 )

x = 7

Then

∠ ABD = 2x + 23 = 2(7) + 23 = 14 + 23 = 37°

∠ DBC = 9x - 5 = 9(7) - 5 = 63 - 5 = 58°

5 0
2 years ago
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