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SashulF [63]
2 years ago
14

How many x or y intercepts can a quadratic function have?

Mathematics
1 answer:
gladu [14]2 years ago
4 0

Answer:

0-2 x-intercepts and 0-1 y-intercepts

Step-by-step explanation:

A quadratic function can have anywhere from 0 to 2 x-intercepts. This is possible because a function can have 0, 1, or 2 solutions.

A parabola can also have either 0 or 1 y intercepts. It is possible for the function to not intercept the y axis at all, and it is also possible for it to intercept it exactly one time.

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Assume that f(x)=ln(1+x) is the given function and that Pn represents the nth Taylor Polynomial centered at x=0. Find the least
WINSTONCH [101]

Answer:

the least integer for n is 2

Step-by-step explanation:

We are given;

f(x) = ln(1+x)

centered at x=0

Pn(0.2)

Error < 0.01

We will use the format;

[[Max(f^(n+1) (c))]/(n + 1)!] × 0.2^(n+1) < 0.01

So;

f(x) = ln(1+x)

First derivative: f'(x) = 1/(x + 1) < 0! = 1

2nd derivative: f"(x) = -1/(x + 1)² < 1! = 1

3rd derivative: f"'(x) = 2/(x + 1)³ < 2! = 2

4th derivative: f""(x) = -6/(x + 1)⁴ < 3! = 6

This follows that;

Max|f^(n+1) (c)| < n!

Thus, error is;

(n!/(n + 1)!) × 0.2^(n + 1) < 0.01

This gives;

(1/(n + 1)) × 0.2^(n + 1) < 0.01

Let's try n = 1

(1/(1 + 1)) × 0.2^(1 + 1) = 0.02

This is greater than 0.01 and so it will not work.

Let's try n = 2

(1/(2 + 1)) × 0.2^(2 + 1) = 0.00267

This is less than 0.01.

So,the least integer for n is 2

7 0
3 years ago
A spider ate 2 5 % 25%25, percent more bugs this month than last month. The spider ate 8 88 bugs last month.
ankoles [38]
25% of 88 = 

0.25 × 88 = 22

88 + 22 = 110

Answer = 110

Hope this helped☺☺
4 0
3 years ago
Why must one leg of a triangle that the Pythagorean triple represents need an even-numbered length?
pashok25 [27]

Most of the square numbers are even.so if we need to find root over we need an even number to convert it to perfect square.

See the example below

  • P=3
  • B=4
  • H=5

\\ \ast\bull\rm\longmapsto H^2=P^2+B^2

\\ \ast\bull\rm\longmapsto H^2=3^2+4^2

\\ \ast\bull\rm\longmapsto H^2=9+16

\\ \ast\bull\rm\longmapsto H^2=25

\\ \ast\bull\rm\longmapsto H=\sqrt{25}

\\ \ast\bull\rm\longmapsto H=5

Some other triplets are

  • (6,8,10)
  • (5,12,13)
  • (8,15,17)
6 0
2 years ago
A chess club plans to sell water to raise $425 and they already have 175, if they sell water bottles for 8$ each, at least how m
alisha [4.7K]

Answer:

32 water bottles

Step-by-step explanation:

8x=425-175

425-175=250

250 is how much more they need.

8x=250

x=31.25

You can't have half of a bottle... so round up to at least 32 water bottles

4 0
2 years ago
A caterer prepared a turkey that weighed 22 1/2 pounds.Each serving of the turkey will be 1/3 pound.How many whole servings will
AlladinOne [14]
1/2 1/2 1/2 1/3
1 \times 2 = 3
8 0
3 years ago
Read 2 more answers
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