9514 1404 393
Answer:
4) 6x
5) 2x +3
Step-by-step explanation:
We can work both these problems at once by finding an applicable rule.
where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.
This can be referred to as the <em>power rule</em>.
Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:
lim[h→0](f(x+h)-f(x))/h = 2ax +b
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4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.
5. The gradient of x^2 +3x +1 is 2x +3.
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If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.
Answer:
<u>C) −2x − 2y + 17</u>
Step-by-step explanation (PEMDAS):
First, we do <u>3 (y + 5)</u> because of the parenthesis:
6x − 5y + 2 − 8x + 3y + 15
Since there are no exponents, multiplication ,or division, we will add and subtract. But we have to make sure we <u>combine like terms</u>. X with X's, Y with Y's and constants with constants. And ALWAYS go from left to right
6x − 5y + 2 − 8x + 3y + 15
<u>−2x</u> − 5y + 2 + 3y + 15
−2x <u>− 2y</u> + 2 + 15
<em>−2x − 2y</em><em> </em><em>+ </em><em><u>17</u></em><em>.</em>
So she has 400 and 500 so far.
now if she were to have an average of 2300 for the next 5 years, that means some years she made more, some she made less, but in the 5 years run, she made 2300 * 5 or 11500 total.
Neverminding the lows and highs, if we bundle up the 11500 bucks and divide by 5, that'd 2300, which is what's called the average, the average amount doesn't take into account that some numbers are higher than others, it kinda just flattens them out.
so in total she would have made 11500 in each account.
so in the account with 400, she needs 11100 more, how much will it be 1100 for the next three years on average? 11100/3 or 3700.
so if she earns 3700 each year, for the next 3 years in the account with 400 already, she'd have 11500 bucks in 5 years with an average of 2300.
now let's look at the 500 account, she needs 11000 more, how much will it be for 11000 for the next three years on average? 11000/3 or about 3666.67.
so if she earns 3666.67 each year, for the next 3 years, she'd have 11500 bucks in 5 yeas with an average of 2300.
1/5, 0.4, 1/2, 0.75
Just convert all of them to decimals first then it should be easy or you .
Answer:
1. 96%
2. $6000
3. 176
4. 20%
Step-by-step explanation:
1. 1/5 of 80% is 16%. 80+16=96
2. 25% of 8000 is 2000. 8000-2000= 6000.
3. 10% increase of 200 is 20. 20+200=220. 20 percent of 220 is 44. 220-44=176
4. if you increase the original salary by 20%, then decreasing it by 20% of the new salary will give you the old salary.
