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GaryK [48]
4 years ago
15

F(x) = x^-1, x=.9. Use linear approximation to estimate answer

Mathematics
1 answer:
Angelina_Jolie [31]4 years ago
8 0
L(x) = f'(a)(x - a)
f(x) = x^(-1), f'(x) = -x^(-2)
Let a = 1, f'(a) = -(1)^(-2) = -1
L(0.9) = f'(1)(0.9 - 1) = -1(-0.1) = 0.1

Therefore, linear approximation of f(x) = x^(-1) for x = 0.9 is 0.1
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You are the manager of a store and business is a little slow. The best way to attract more customers is to have a sale. Here are
tatyana61 [14]

Answer:B

Step-by-step explanation:

if you do A then you are losing 50% of your profit on for items

if you do see then you are giving 40% discount on that item which means you would only get 60% of the one item.  

<u><em>Therefore your best bet is B because you still get the price of two items</em></u>

8 0
4 years ago
The Slope of the Line:
Paladinen [302]

Answer:

3/-1

Step-by-step explanation:

the equation for slope is y2-y1/x2-x1

I chose the two points (4,2) and (0,-2) because that's where the line meets up

then I put them in the equation getting 4--2/0-2

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3 0
3 years ago
1/4m + 3/4m - 3/8(m+1)
sammy [17]
Distribute 3/8 to m and 1 so now the equation should be 1/4m + 3/4m - 3/8m + 3/8

then add 1/4m 3/4 to get m. the equation should now look like m - 3/8m + 3/8

m is 1m but the one is invisible so subtract 3/8 from 1 now the equation should look like 5/8m + 3/8

final answer: 5/8 + 3/8
3 0
4 years ago
Vanessa buys a strip of 25 postage stamps the stamps is 21 7/8 inches long how long is it after Vanessa uses on stamp
zloy xaker [14]
To get the answer we have to multiply 25 times 21 7/8. To do that we have to transform 21 7/8 into improper fraction and thn multiply 25 times numerator.
21 \frac{7}{8}= \frac{21*8+7}{8}= \frac{175}{8}
\frac{175}{8}*25 = \frac{175*25}{8}= \frac{4375}{8}=546 \frac{x}{y}  \frac{7}{8} - its the answer
3 0
3 years ago
Please help me thank you
Lunna [17]

Answer:

      418

Sn = ∑ 3 +4(n-1)

     n=1

Step-by-step explanation:

3,7,11,15,.....1671

a1 =3

d = 4  (7-3=4)

an = a1 + d(n-1)

an = 3 +4(n-1)

We need to determine the last term

1671 = 3 +4(n-1)

Subtract 3

1671-3 = 3-3 +4(n-1)

1668 = 4(n-1)

divide by 4

1668/4 = 4(n-1)/4

417 = n-1

Add 1 to each side

418 = n

      418

Sn = ∑ a1 +d(n-1)

     n=1

      418

Sn = ∑ 3 +4(n-1)

     n=1

8 0
3 years ago
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