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Sergio [31]
3 years ago
14

X+y=-3 find the intercepts

Mathematics
1 answer:
ozzi3 years ago
6 0
THE X INTERCEPT IS X AND Y INTERCEPT IS Y 
-3 IS CONSTANT
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Find the least positive integer, written only by numbers 0, 1 and 2, which is divisible by 225.
True [87]

9514 1404 393

Answer:

  1,222,200

Step-by-step explanation:

A search using a computer program found ...

  5432 × 225 = 1,222,200

__

1000 mod 225 = 100

4 × 225 = 900

This suggests that if we have some number of thousands whose digits total 9, that we will have the number of interest. Of course, we can add 200 to some number of thousands with a digit total of 7. The smallest such digit total will be had with the number 1222 using the specified digits {0, 1, 2}. This gives rise to the result above: 1222×1000 +200 = 1,222,200. It also explains why moving the 1 to the right will also give a multiple of 225.

7 0
3 years ago
Fully condense the expression. Assume that all variables represent positive numbers. (log x -2 log y+ 3 log z) (10 points)
AfilCa [17]

Answer:  The required condensed expression is \log\dfrac{xz^3}{y^2}.

Step-by-step explanation:  We are given to fully condense the following logarithmic expression assuming that all variables represent positive numbers :

E=\log x-2\log y+3\log z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be using the following properties of logarithms :

(i)~\log a^b=b\log a,\\\\(ii)~\log a+\log b=\log(ab),\\\\(iii)~\log a-\log b=\log\dfrac{a}{b}.

Therefore, from expression (i), we get

E\\\\=\log x-2\log y+3\log z\\\\=\log x-\log y^2+\log z^3\\\\=\log(xz^3)-\log y^2\\\\=\log\dfrac{xz^3}{y^2}.

Thus, the required condensed expression is \log\dfrac{xz^3}{y^2}.

5 0
3 years ago
Mary wrote a book of 1536 pages. She numbered all pages by hand. How many times did she write the digit 6?
abruzzese [7]

<em>Hi there!</em>

<em>~</em>

<em>If my logic doesn't fail me here, we have a total of 290 + 145 + 4 = 439 total 6s.</em>

<em>Hope this helped you!</em>

5 0
3 years ago
5x - 4y + 8 ; x = 8 , y = 2.5
Mice21 [21]
It’s 38 :) I hope it helps
8 0
3 years ago
Read 2 more answers
You are anchoring your boat. the water is 20 feet deep. how much anchor line should you use
scoray [572]

Answer: The answer is 100 to 140 feet.


Step-by-step explanation: Given that we are anchoring our boat and the water is 20 feet deep. We are to calculate the anchor line we should use.

General rule of calculating anchor line is given by

Multiplying the depth of the water by 5 to 7 . For example, if the water depth is 'x' feet, then we will multiply 'x' feet by 5 to 7 to get the amount of anchor line to put out.

Here, the depth of water = 20 feet.

So, the anchor line should be 5 × 20 to 7 × 20 feet, i.e., 100 to 140 feet.

Thus, the anchor line should be 100 to 140 feet.


4 0
3 years ago
Read 2 more answers
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