Translate the following sentence into an equation using n to represent the unknown number. Then solve the equation for n.

1 answer:

8 0

It's pretty straightforward and simple:
Six more means + 6.
Twice a number means 2n.
Is 16 means = 16

Now combine these three definitions and you will receive:
6 + 2n = 16

Now solve this simple equation:
6 + 2n = 16
2n = 16 - 6
2n = 10
n = 10 / 2 = 5

So the correct answer is D.

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For an integer n ≥ 0, show that (n/2) - (-n/2) = n. Use greatest integer function

mars1129 [50]

The greatest integer function returns the largest integer smaller than the number you provide it. That is, if n ≤ x < n + 1, where n is an integer, then the "greatest integer of x" is [x] = n.

• Let n be even. Then we can write n = 2k for some integer k ≥ 0. Now,

[n/2] = [k] = k

while

[-n/2] = [-k] = -k

so that

[n/2] - [-n/2] = 2k = n

• Let n be odd. Then n = 2k + 1 for some integer k ≥ 0. Every odd integer occurs between two even integers, so that

n - 1 < n < n + 1

or equivalently,

2k < n < 2k + 2

so that

k < n/2 < k + 1

It follows that [n/2] = k.

Similarly, if we negative the previous inequality, we have

-k > -n/2 > -(k + 1), or -k - 1 < -n/2 < -k

which means [-n/2] = -k - 1.

So we make the same conclusion,

[n/2] - [-n/2] = k - (-k - 1) = 2k + 1 = n

3 0

2 years ago

What does M, ,b and x &y stand for

anygoal [31]

Answer:

Answers are below

Step-by-step explanation:

M is the slope of the line on a graph. b is the y-intercept of the line, where the line crosses the y-axis. x is the input, or x-values of the graph that are used on the line. y is the output, or y-values that result from the slope multiplying with the x-values added to the b.

If this answer is correct, please make me Brainliest!

4 0

3 years ago

Read 2 more answers

On Friday, 20 dogs attended doggy daycare. On Saturday, 26 dogs attended. What is the percent of change?

Sati [7]

Answer:

Step-by-step explanation:

%change=100(final-initial)/(initial)

%change=100(26-20)/20

%change=30%

Since this is positive the number of dogs increased by 30%