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marusya05 [52]
3 years ago
14

Show that p(x)=2x3−5x2−10x+5 has a real root.

Mathematics
1 answer:
FromTheMoon [43]3 years ago
6 0
Let's pick an arbitrary value of 5.

P(5) = 2(5)^{3} - 5(5)^{2} - 10(5) + 5
= 2(125) - 125 - 50 + 5
= 250 - 125 - 50 + 5
= 80 > 0

Let's pick another arbitrary value: 1

P(1) = 2 - 5 - 10 + 5
= -8 < 0

Between these two values, the polynomial is continuous. This means for the two polynomial points to be satisfied, there must be at least one root between these two points.

We can either use the Intermediate Value Theorem or Newton's method to make a better approximation from there.
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Ahmad’s father is 4 times as old as Ahmad. After 5 years, father will be three times as old as Ahmad. Find their present ages
Ilia_Sergeevich [38]

The present age of Ahmed and Ahmed's father is 12 and 36 respectively.

Step-by-step explanation:

Given : Ahmed's father is thrice as old as Ahmed. After 12 years, his age will be twice that of his son.

To Find : Their present age ?

Solution :

Let the Ahmed's age be 'x'.

Ahmed's father is thrice as old as Ahmed.

i.e. Ahmed's father age is '3x'

After 12 years, his age will be twice that of his son.

i.e. 3x+12 = 2(x+12)3x+12=2(x+12)

Solving the equation,

3x+12 = 2x+243x+12=2x+24

x=12x=12

So, Ahmed's age is 12.

Ahmed's father age is 3\times 12=363×12=36

Therefore, The present age of Ahmed and Ahmed's father is 12 and 36 respectively.

<h2>There is 3 times in space of 4 times please mark as brainlist</h2>
7 0
2 years ago
Three pounds of lawn seed covers 1800 square feet. How many 4 pound bags are needed to cover 8400 square feet?
Cloud [144]
You need to find how much a pound of lawn seed covers.  Once you fine that divide it by 8400 square feet and you'll get your answer.
7 0
3 years ago
What is the common difference of the sequence below?
vagabundo [1.1K]

Answer:

Step-by-step explanation:

In finding the COMMON DIFFERENCE, subtract the 2nd term and the first term.

a1 = -4

a2 = -2

Let "d" representing the COMMON DIFFERENCE.

d = -2 -(-4)

d = -2 + 4

d = 2

ANSWER:

THE COMMON DIFFERENCE OF THIS SEQUENCE IS 2

3 0
3 years ago
Read 2 more answers
The cargo carrying part of Billy‘s truck has a length of 8.3 m a width of 3 m and a height of 4.2 m. What is the maximum volume
madam [21]
You're really just finding the volume of the cargo-carry part.

V= L x W x H

V= 8.3m x 3m x 4.2m

V= 104.58 m3 or 105 m3 (rounded)

ANSWER: The maximum volume of sand Billy's truck can carry is about 105 m3.
8 0
3 years ago
10 cookies 4 chocolate chip 3 are peanut butter 3 are sugar what fraction of the cookies are chocolate chip
Lilit [14]
4/10 cookies so that is 2/5 or 40% :)
7 0
3 years ago
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