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galben [10]
2 years ago
13

How many positive 3-digit numbers are divisible by 11?

Mathematics
1 answer:
enyata [817]2 years ago
4 0

Answer:

81

Step-by-step explanation:

If a number is divisible by 11, then you can make those numbers by multiplying 11 by any number. Like 33 is divisible by 11 because 3×11 is 33.

Of course, 33 is too small, we are looking for 3-digit numbers...

see image.

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Conplete the square to solve the quadratic equation. x<br><img src="https://tex.z-dn.net/?f=1%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20
o-na [289]

Answer:

\large\boxed{x=4\pm2\sqrt6}

Step-by-step explanation:

x^2-6x+12=2x+20\qquad\text{subtract}\ 2x\ \text{and}\ 12\ \text{from both sides}\\\\x^2-8x=8\\\\x^2-2(x)(4)=8\qquad\text{add}\ 4^2=16\ \text{to both sides}\\\\x^2-2(x)(4)+4^2=8+4^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-4)^2=24\iff x-4=\pm\sqrt{24}\\\\x-4=\pm\sqrt{4\cdot6}\\\\x-4=\pm\sqrt4\cdot\sqrt6\\\\x-4=\pm2\sqrt6\qquad\text{add 4 to both sides}\\\\x=4\pm2\sqrt6

6 0
3 years ago
I REALLY NEED HELP!!! If someone can answer this quickly and correctly I will give them Brainliest. 1. What is the function rule
Rainbow [258]

Answer:

y= -4x + 3

Step-by-step explanation:

Because the slope is -4/1 which is the same as 4 and 3 is the y-intercept.

Here's the work;

We can just use the first two coordinates which are (0,3) and (1,-1) to get from the x-value 0 to 1 we add 1. and to get from the y-value 3 to -1 we subtract 4. Therefore the slope is -4 and the y- intercept (when x is zero) is 3. Pop that into slope intercept form to get y=-4x +3

Hope that helps and have a great day!

3 0
3 years ago
Express 5/21 as a decimal.
Annette [7]
5/21 is a repeating decimal but the first digits are 0.238095
7 0
3 years ago
Read 2 more answers
What is the value of X ?
SashulF [63]

Answer:

Step-by-step explanation:

x^2 + 48^2 = 50^2

x^2 + 2304 = 2500

x^2 = 196

x = 14

answer is a

7 0
3 years ago
Consider the piecewise-defined function given by the graph. What are these values?
maksim [4K]

Answers:

f(-3) = -1

f(-1) = 2

f(3) = 5

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

Explanations:

Draw a vertical line through -3 on the x axis. Make sure this vertical line crosses the orange graph. Mark this point of intersection and then draw a horizontal line from this point to the y axis. You should find that it touches -1 on the y axis. Check out the attached image to see this process in action.

Those steps basically say that x = -3 leads to y = -1. Since y = f(x), this means f(-3) = -1

Through similar steps, you should find that f(-1) = 2 and f(3) = 5

Note that the open hole/circle does not count. So if you land on an open hole, just keep going until you hit a closed circle on the other piece of the graph.

6 0
3 years ago
Read 2 more answers
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