I believe the answer is .09625 hours
Explanation: first you do 2.2 x 105= 231
Then you do 231/40=5.775 to get how many minutes it takes to type 231 words. Then u divide 5.775/60 to get how many hours it would take.
To factor,
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1) First multiply coefficient of a² and constant no,
That is,
3×(-42)=-126
Since the<u> resultant no is negative</u>, you should find two such factors of 126 <u>which</u> <u>will give us the coefficient of a (=11)</u> on subracting those factors.
2) Find the factor
126=2×3×3×7
=18×7
18 and 17 are factors of 126
Also,18-7 =11.
So they are required factors for factoring,
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Once you have understood above steps you can solve on your own. All you need to do is split 11 into factors ,take common terms and you will get answer.
<u>Answer:</u>
3a²+11a-42
=3a²+(18-7)a -42
=3a²+18a-7a-42
=3a(a+6) -7(a+6)
=(a+6)(3a-7)
Answer:
-2/x
Step-by-step explanation:
simplified is y = -x/2 - 6
Perpendicular slopes are just reciprocals of the original slope, so just flipp the original slope around to be the complete opposite.
Example if slope= -2, the reciprocal= -1/2
Just flip the numerator with the denominator for perpendicular slope
The sequence is geometric. Any exponential function models geometric growth. Recall the general nth term of a geometric sequence is a*(r)^(n-1) which is very similar to the form y = a*b^x. The big difference is that the x function is continuous while the function in terms of n is discrete. In this case, the common ratio is r = 1.10 to indicate we have 10% growth. Notice how 100%+10% = 1.00+0.10 = 1.10
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The first quadrant is where x and y are both positive. Since x is the time in years, it doesn't make sense to talk about negative years or negative years have passed by. We can have a negative balance in a bank account, so it makes sense to have y be negative. However, Mr Sullivan starts with some positive amount and his account grows every year. So there's no way that y can be negative in this case.
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The point (0,200) is the y intercept. It represents the starting amount he deposited into the account, which was the $200. Keep in mind that no other deposits were made, and he cannot pull money out of the account if he wants his account to grow according to the graph. Also, the interest rate must remain at 10%.
Answer: Amber use 30 feet of basic tiles and 6 feet of decorative tiles.
Step-by-step explanation:
Let x be the foot of basic tiles and y be the foot of decorative tiles.
Now, according to the question, we have the following equations
![x+y=36\\y=36-x\ .......(1)\\\\8x+20y=36\times10\\2x+5y=90.......(2)\ \ \ [\text{divide equation by 4}]](https://tex.z-dn.net/?f=x%2By%3D36%5C%5Cy%3D36-x%5C%20.......%281%29%5C%5C%5C%5C8x%2B20y%3D36%5Ctimes10%5C%5C2x%2B5y%3D90.......%282%29%5C%20%5C%20%5C%20%5B%5Ctext%7Bdivide%20equation%20by%204%7D%5D)
Put y=36-x in (2), we get
Hence, Amber use 30 feet of basic tiles and 6 feet of decorative tiles.
