Determine whether the relationship between the two shown in each table are proportional by graphing on the coordinate plane.

el producto de tres números es 1000 y su suma es 39. Si se sabe que el primero es al segundo como el segundo es al tercero, hall

pentagon [3]

Answer: The difference between the larger and smaller number is 21.

Step-by-step explanation:

This can be translated to:

"the multiplication between 3 numbers is 1000 and the addition is 39.

If the first number is at the second like the second at the third, find the difference between the smaller and the larger number"

If A is the first number, B the second and C the third we have that:

A*B*C = 1000

A + C + B = 39

A/B = B/C

From the third equation we have that:

A*C = B*B

we can replace it in the first equation and get:

B*(A*C) = 1000

B*B*B = B^3 = 1000

$B = \sqrt[3]{1000} = 10$

So now we have the value of B.

Now we have the two equations:

A + 10 + C = 39

A*C = B*B = 10*10 = 100

We can isolate A in the first equation and get:

A = 39 - 10 - C = 29 - C

now we can replace it in the second equation:

(29 - C)*C = 100

29C - C^2 - 100 = 0

We need to find the roots of that equation, we can use the Bhaskara's function:

$C = \frac{-29 +- \sqrt{29^2 - 4*(-1)*(-100)} }{2*(-1)} = \frac{-29 +- 21}{-2}$

Where we have two possible values for C

C = (-29 - 21)/(-2) = 25

C = (-29 + 21)/(-2) = 4

Let's chose C = 4, because C is the smaller value. (A will take the other value)

Then we have:

A + B + C = 39

A + 10 + 4 = 39

A = 39 - 14 = 25

Then the difference between the larger and smaller number is:

A - C = 25 - 4 = 21

4 0

4 years ago

How would you verify the trigonometric identity 2x = 2sinx cosx

dem82 [27]

Step-by-step explanation:

Hi, there!!

I hope you mean sin2x=2sinx . cosx

so, let's begin in a simple way; by adding, alright:

sin2x= sin(x+x) (as 2x=x+x).

now, let's use compound formula for sin,

so, we get:

sin (x+x)= sinx.cosx + cosx. sinx (as sin(A+B)=sin A. cosB + cosA . sinB)

or, sin (x+x)=2sinx.cosx (adding both).

Therefore, sin 2x = 2sinx. cosx.

Hope it helps..

5 0

3 years ago

Read 2 more answers

Find the absolute error of the measurement 10 meters. explain its meaning

nikdorinn [45]

Answer:

.5 m

Step-by-step explanation:

You can use maximum possible error to calculate absolute error

Maximum possible error of is half the unit of measure

This means it is ±0.5 meters

In this case, you find the place value the measurement 10 meters is rounded to .This measurement was measured to the nearest meter, thus the measuring unit is 1 meter.

Here you use the maximum possible error as the absolute error.

This means the measurement is 10 ± .5

4 0

4 years ago

Jim used his debit card to withdraw $35 from the ATM. Then, he wrote a check for $8.00. Which equation represents the total amou

alexgriva [62]

X - (35 + 8) = y
x = original amount in bank
y = new amount in bank

7 0

3 years ago

PLEASE HELP THIS IS TIMED WILL GIVE BRAINLIEST

Elodia [21]

Answer:Ok, we have:

d(t) = 3*t^2 + 5*t - 2.

The first interval is:

(2, 3)

and remember that, for an interval (a,b), the difference quotient is:

D = (f(b) - f(a))/(b -a)

Then in this first interval we have:

So the average rate of change in (2,3) is 20.

now, in (2, 2.5) we have:

So here the rate of change is 9.25

And in the interval (2, 2.1) we have:

So in this interval the rate of change is 1.73

Step-by-step explanation: hope this helps luvv

8 0

3 years ago

Read 2 more answers