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Marina86 [1]
3 years ago
8

The equation x^3-5x=59 has a solution between 4and 5 . Use trail and improvement method. Give your answer to 1 decimal place.

Mathematics
1 answer:
3241004551 [841]3 years ago
5 0

Answer:

4.3 to 1 decimal place.

Step-by-step explanation:

x^3 - 5x - 59 = 0

Try x = 4.1:

f(4.1) = (4.1)^3 - 5(4.1) - 59 = -10.579

Try: 4.2:

f(4.2) = 4.2^3 - 5(4.2) - 59 = -5.912,  Try x = 4.3:

f(4.3) = -0.993 (getting closer to 0!!)

f(4.4) = 4.184

NOTICE - there is a change of sign in the result so the root lies between 4.3 and 4.4.

Try x = 4.35:

f(4.35) = 1.563  so it looks like the root is closer to 4.3 than 4.4 because 1.563 is closer to zero than 4.184.

Just to double check let's calculate x = 4.32:

f(4.32) = 0.0216 - which is very close to zero.

So the answer is 4.3 to 1 decimal  place.

(I've checked it out on my calculator - the root is 4.31958).

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the ratio of boys to girls at space camp is 3:2 if there is a total of 60 campers,then how many of the campers are girls
lora16 [44]

Answer:

24

Step-by-step explanation:

3+2=5

5u-> 60

1u->12

2u-> 24

5 0
3 years ago
Can anyone help me with this question?
Andreyy89

Answer:

x= 60°, y = 80°, z = 40°

Step-by-step explanation:

Look at the line substending 40° and Z°; you would see that both lines are parallel and so their angles are they the same.

Hence z= 40° { corresponding angles of parallel lines}

Similarly;

Look at the line substending 60° and x°; you would see that both lines are parallel and so their angles are they the same.

60° = x° { corresponding angles of parallel lines}

Now looking at the angle between x and y; let's call the angle between them r

And you would observe closely that r = z° = 40°{ vertically opposite angles are equal}

Note that x + r + y = 180°{ angle on a straight line}

y = 180° - ( x + r)

y = 180 - (60+40)

y = 180° - 100°

= 80°

6 0
3 years ago
Complete the<br> proportion<br> 3 is to 4 as 75 is to...
kolezko [41]

Answer: 100

Step-by-step explanation:

\frac{3}{4} = \frac{75}{x}

3 x 25 = 75

4 x 25 = 100

3 0
3 years ago
Find the midpoint of the line segment joining the points R(-5,5) and S(4.6).
tigry1 [53]

Hey there! I'm happy to help!

To find the x value of the midpoint, you add the x values and divide by 2.

-5+4=-1

-1/2=-1/2

For the y value, you add the y values and divide by 2.

5+6=11

11/2=5 1/2

So, the midpoint is (-1/2, 5 1/2).

Have a wonderful day! :D

6 0
3 years ago
Provide an expression that is equivalent to -3(8+2) ?
aliina [53]

Answer:

-3(8+2)=-30

Step-by-step explanation:

-3(8+2)

(8+2)=10

-3×10=-30

5 0
3 years ago
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