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VMariaS [17]
4 years ago
10

Find the limit of the function by using direct substitution as X approaches one lim(x^2-8x -2)

Mathematics
1 answer:
Leno4ka [110]4 years ago
8 0

Answer:

lim_{x \to 1} x^2 -8x -2 =-9

Step-by-step explanation:

For this case we want to find the following limit:

lim_{x \to 1} x^2 -8x -2

And we can find the limit distirbuting into each term like this:

\lim_{x \to 1} x^2 -8 lim_{x \to 1} x -lim_{x \to 1} 2

And replacing we got:

1^2 - 8*1 -2 = 1-8-2 = -9

So then the final answer for this case is:

lim_{x \to 1} x^2 -8x -2 =-9

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The larger of two numbers is eight more than three times the smaller number. The sum of the two numbers is fifty-two. Find the t
Alina [70]
Let x be the larger number and y the smaller number.

The first sentence translates to x=8+3y. The second translates to x+y=52.

Since x=8+3y, you can substitute this into the second equation to get

(8+3y)+y=4y+8=52\implies 4y=44\implies y=11

Then substituting this into the original second equation gives

x+11=52\implies x=41
3 0
4 years ago
Find the supplement of an angle whose measure is 164 degrees. 180 164 74 16
Wittaler [7]
The supplement of the angle is 16.

To find a supplement, you take the measure of the angle you know and subtract that from 180. So 180-164=16.

Hope this helps! :D
6 0
3 years ago
-3/2 x (-5 1/4)<br> A. -15<br> B.-10<br> C.15<br> D.10
Sunny_sXe [5.5K]

The answer is 10 because its close to the answer by multiplying those two fractions

5 0
4 years ago
Bonita deposited 1300 into a bank account that earned 5.75% simple interest each year. She earned $299 in interest before closin
worty [1.4K]

Answer:

For 4 years the money was in the account .

Step-by-step explanation:

Formula

Simple\ interest = \frac{Principle\times Rate\times Time}{100}

As given

Bonita deposited 1300 into a bank account that earned 5.75% simple interest each year.

She earned $299 in interest before closing the account.

Principle = $1300

Rate = 5.75%

Simple interest = $299

Putting all the values in the formula

299 = \frac{1300\times 5.75\times Time}{100}

Time= \frac{299\times 100}{1300\times 5.75}

Time= \frac{29900\times 100}{1300\times 575}

Time= \frac{2990000}{747500}

Time = 4 years

Therefore for 4 years the money was in the account .


8 0
3 years ago
HELPPPPP!!!!!
sergejj [24]

Answer:

1. (x+2y)^2-ab    x^2+4xy+4y^2-ab

2. 3n-13<9       n<22/3

3. 6+n/7=4     n/7=-2

8 0
4 years ago
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