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Harman [31]
3 years ago
8

suppose f(x) is continuous and that f(-5)=2, f(0)=-3. f(3)=2, f(7)=-4, f(8)=-1.Which smallest interval where f (x)= 0 is guarant

eed to have a solution: [-5,0], [0,3], [3,7], or [7,8]?
Mathematics
1 answer:
ella [17]3 years ago
7 0

Answer:

[0,3]

Step-by-step explanation:

Using a special case of mean value theorem, The Intermediate Zero Theorem:

if sign changes in continuous function, it pass through zero:

f(-5)=2, f(0)=-3. f(3)=2, f(7)=-4, f(8)=-1

[-5,0], [0,3], [3,7] guarantee a solution

smallest : [0,3]

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0.5,1.2,23,-34,-73

Step-by-step explanation:

8 0
3 years ago
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Find the sum of natural number from 1 to 30
Ierofanga [76]

Answer:

1. sum of term = 465

2. nth term of the AP = 30n - 10

Step-by-step explanation:

1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore

sum of term = n/2(a + l)

where

a = 1

l = last term = 30

n = number of term

sum of term = 30/2(1 + 30)

sum of term = 15(31)

sum of term = 465

2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......

The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;

a = 20

d = 30

nth term of an AP = a + (n - 1)d

nth term of an AP = 20 + (n - 1)30

nth term of an AP = 20 + 30n - 30

nth term of the AP = 30n - 10

The nth term  formula can be used to find the next term progressively.  where n = number of term

The sequence will be 20, 50, 80, 110, 140, 170, 200..............

6 0
3 years ago
a bread recipe calls for ⅓ cup of butter you want to make ½ of a batch. how much butter do you need?​
Reil [10]

Answer:

1/6

Step-by-step explanation:

if 1/3 is for a whole batch and you want to make a half batch. So, divide 1/3 by 2.

4 0
3 years ago
Help please. Only 20 minutes left.
Tcecarenko [31]

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-5

Step-by-step explanation:

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2 years ago
What are transformation possible to change f(x) to g(x) on graph linear equation
Korolek [52]

Answer:

<h2>Vertical stretch or compression and vertical shift.</h2>

Step-by-step explanation:

When we talk about the transformation of functions, we can mention stretching, rotating, dilating, shifting. However, when we want to transform linear functions, there are only two transformations that are worthy in that case, those are vertical stretch or compression and vertical shift.

Now, you may ask, why only vertical transformation? the reason behind that is because horizontal transformation would give the exact same result because it's only a straight line which we are transforming.

Another common question would be, why only two transformations? it's because with these two you can get all the results because it's a straight line.

The image attached shows examples of this.

8 0
3 years ago
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