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3 years ago

the area of a rectangular field is x^2-x-72 m^2. The length of the field is x+8 cm. What is the width of the field meters.

1 answer:

5 0

Hello,

A(x)=x²-x-72 (m²)
L=(x+8) (cm)= (x+8)/100 (m)

We suppose here x≠-8
(in reality x²-x-72>0 ==>x<-8 or x>9
but x+8>0 ==> x>-8
then
only x>9 are solutions)

W=A(x)/ ((x+8)/100 )=100*(x²-x-72)/(x+8)= 100*(x-9)(x+8)/(x+8)=100*(x-9)

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Total mass vs. numbers of cd and numbers of cd

Gekata [30.6K]

Answer: Choice A) M = 0.25n + 100

=============================================================

Explanation:

For now, I'll treat n as x, and M as y.

In other words,

x = number of CDs
y = total mass in kg

Let's select two points from this graph. I'll pick (200,150) and (400,200)

The slope of the line through those points is

m = (y2-y1)/(x2-x1)

m = (200-150)/(400-200)

m = 50/200

m = 0.25

Now we'll use the point (x,y) = (200,150) along with that slope value to find the y intercept b

y = mx+b

150 = 0.25*200+b

150 = 50+b

150-50 = b

100 = b

b = 100

You could also use (x,y) = (400,200) and you should get the same b value.

In fact, any other point from this graph works as well.

------------------------------

Since m = 0.25 and b = 100, we go from y = mx+b to y = 0.25x+100

This then translates over to M = 0.25n + 100 which is choice A

To help verify this, let's say we plugged in n = 100

M = 0.25*n + 100

M = 0.25*100 + 100

M = 25 + 100

M = 125

Which is confirmed by what the graph shows. I'll let you check the other points as well.

7 0

3 years ago

Brainliest to the first person who answers this what’s the surface area of the first picture and what’s the volume of the second

ycow [4]

Answer:

459.6

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The snooze buttonon your alarm clock activates the alarm every 5 minutes. The snooze button on your cell phone activates the ala

Tomtit [17]

Answer: 7:35 a. M

Step-by-step explanation:

Given that:

Snooze on alarm = 5 minutes

Snooze on cellphone = 7 minutes

If both activates at 7:00 a. M

Time at which both will activate again ;

Obtain the Lowest Common Multiple of 5 and 7

_5 __|5 ___|7

_7__ |1 ___|7

____ |1 ___| 1

Lowest common multiple = (5 * 7) = 35

Hence, both alarms will sound together again after 35 minutes = 7:00a.m + 35 minutes = 7:35 A. M

5 0

3 years ago

Sisters Amilia and Bianca play games together often. Let A represent the number of games Amilia wins monthly, and let B represen

Harman [31]

Using addition of variables, it is found that the mean of S is of 73 and the standard deviation is of 8.5.

<h3>What happens to the mean and the standard deviation when two variables are added?</h3>

The mean is the sum of the means.

The standard deviation is the square root of the sum of variances.

In this problem, for variables A and B, we have that:

$\mu_A = 35.5, \sigma_A = 5.1$

$\mu_B = 37.3, \sigma_B = 6.8$

Variable S is the sum of A and B, hence:

$\mu_S = \mu_A + \mu_B = 35.5 + 37.3 = 73$

$\sigma_S = \sqrt{\sigma_A^2 + \sigma_B^2} = \sqrt{5.1^2 + 6.8^2} = 8.5$

The mean of S is of 73 and the standard deviation is of 8.5.

More can be learned about addition of variables at brainly.com/question/26156502

7 0

2 years ago

38÷325= what is that answer

djyliett [7]

38 divided by 325= 38/325 fraction form and
0.11692307 decimal form

8 0

3 years ago