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4 years ago

Find three conzecutive whos sum is 84

Mathematics

1 answer:

Marizza181 [45]4 years ago

7 0

The three consecutive numbers whose sum is 84 are 27 , 28 , 29

Step-by-step explanation:

Consecutive numbers are:

1. The numbers that follow each other in order

2. They have a difference of 1 between every two numbers

Examples:

1 , 2 , 3 , 4 , 5 are consecutive numbers

1 , 3 , 5 , 7 are consecutive odd numbers

2 , 4 , 6 , 8 consecutive even numbers

Assume that the smallest number of the three consecutive numbers

is n

∵ The smallest number of the 3 consecutive numbers is n

∴ The 3 numbers are ⇒ n , n + 1 , n + 2

∵ Their sum is 84

Add them and equate the answer by 84

∴ n + (n + 1) + (n + 2) = 84

- Add like terms in the left hand side

∴ (n + n + n) + (1 + 2) = 84

∴ 3 n + 3 = 84

- Subtract 3 from both sides

∴ 3 n = 81

- Divide both sides by 3

∴ n = 27

∵ The 3 numbers are ⇒ n , n + 1 , n + 2

∴ The numbers are ⇒ 27 , (27 + 1) , (27 + 2)

∴ The 3 numbers are ⇒ 27 , 28 , 29

The three consecutive numbers whose sum is 84 are 27 , 28 , 29

Learn more:

You can learn more about consecutive numbers in brainly.com/question/5496711

#LearnwithBrainly

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scoray [572]

Answer:

I think it's A, y = 1/2 cos(x + π/4)

6 0

3 years ago

Select the correct answer from each drop-down menu. The table below represents the function f, and the following graph represent

Lorico [155]

<h3>Answers:</h3>

The functions f and g have <u>same axis of symmetry</u>

The y intercept of f is <u>greater than</u> the y intercept of g.

Over the interval [-6,-3], the average rate of change of f is <u>less than</u> the average rate of change of g.

===========================================

Explanation:

Check out the diagram below.

Using the table, plot each (x,y) point onto the same xy grid the blue parabola is graphed on. This way we can compare the two graphs. I'll show these points in red. The red parabola passing through them represents all of f(x) assuming it is continuous.

When we have f(x) and g(x) plotted together, we see that they have the same axis of symmetry. Points D = (-3,-10) and K = (-3,7) have the same x coordinate. The axis of symmetry for each is x = -3.

-------------

Furthermore, the graph shows that the y intercept of f is above the y intercept of g. Look where the graphs cross the y axis. So The y intercept of f is greater than the y intercept of g

We could note that from the table, the y intercept of f is (0,8) as the y intercept always happens when x = 0.

-------------

Last part is the average rate of change (AROC)

AROC is the same as the slope of the line through the endpoints mentioned. The interval [-6, -3] means we go from x = -6 to x = -3. Those x values determine the endpoints.

For f(x), this means we find the slope of the line through (-6,8) and (-3,-10). Use the slope formula to get

m = (y2-y1)/(x2-x1)

m = (-10-8)/(-3-(-6))

m = (-10-8)/(-3+6)

m = -18/3

m = -6 ... negative slope goes downhill as we move from left to right

The AROC for f, on the mentioned interval, is -6

The AROC for g is done in a similar manner. We use the two points J = (-6,-2) and L = (-3,7) as the diagram shows. The slope of line JL is

m = (y2-y1)/(x2-x1)

m = (7-(-2))/(-3-(-6))

m = (7+2)/(-3+6)

m = 9/3

m = 3 ... positive slope goes uphill as we move from left to right

We get a different AROC here. More specifically, this is a larger AROC compared to what we got for f. So the AROC for f is smaller than the AROC for g.