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Allisa [31]
2 years ago
9

Show that the equation x3 + 4x = 1 has a solution between x = 0 and x = 1

Mathematics
1 answer:
nexus9112 [7]2 years ago
5 0

Intermediate Value Theorem: Suppose that  f(x)  is an arbitrary, continuous function on an interval  [a,b] . If there exists a value  L  between  f(a)  and  f(b) , then there exists a corresponding value  c∈(a,b) , such that  f(c)=L

f(x)=x3+4x−1

f(0)=−1f(1)=4

Since the function changes sign in the interval  (0,1) , hence there exists a  c∈(0,1)  such that  f(c)=0

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Q5. A car is bought for £5000 and sold for £7500.<br> What is the percentage profit?
Nitella [24]

Answer:

50% profit

Step-by-step explanation:

Cost price = £ 5000

Selling price = £ 7500

Profit  = Selling price - cost price

        = 7500 - 5000

       = £ 2500

Profit percentage = \frac{2500}{5000}*100

                             = 50 %

8 0
3 years ago
Help me please <br> PLEASEEE
vodka [1.7K]
So you can do 1/2 and then divide it by 1/8.

To divide by a fraction, multiply by its reciprocal.
So;
1/2 / 1/8 = 1/2•8/1

1/2• 8 = 8/2
8/2= 4

So he can fill 4 mugs!!!

Brainliest if i helped!
7 0
3 years ago
Read 2 more answers
A, O and B lie on a straight line segment.
Dafna11 [192]

Answer:

x = 36

Step-by-step explanation:

the 3 angles form a straight angle and sum to 180°

sum the 3 angles and equate to 180

3x + x + x = 180 , that is

5x = 180 ( divide both sides by 5 )

x = 36

8 0
2 years ago
Evaluate [(51 + 3) − 3²] ÷ 9 ⋅ 2.
sashaice [31]
[(51 + 3) - 3^2]/9 * 2
[ 54 - 3^2] / 9 * 2
[ 54 - 9 ] / 9 * 2
[45] / 9 * 2
5 * 2 = 10
3 0
3 years ago
9 buses of students, teachers and parents went on a field trip. if 5 of the buses held 63 people each and other buses held 54 pe
algol13
It is 531 maybe?????
5 0
3 years ago
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