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Alchen [17]
3 years ago
5

Hey school wishes to form three sides of a rectangular playground using 240 m of fencing. The playground border is the school bu

ilding so the fourth side does not need fencing. One of the sides has a length X. Find a function that gives the area A(x) of the playground in square meters in terms of X.

Mathematics
1 answer:
kari74 [83]3 years ago
7 0

Answer:

A(x) = x(240-2x)\\\\       Or\\\\A(x) = x[\frac{240-x}{2}]

Step-by-step explanation:

please kindly see the attached file for more explanation

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2x+1y=25 <br> find the equation of x
leonid [27]

Answer:

x=

−1

2

y+

25/2

Step-by-step explanation:

Let's solve for x.

2x+1y=25

Step 1: Add -y to both sides.

2x+y+−y=25+−y

2x=−y+25

Step 2: Divide both sides by 2.

2x

2

=

−y+25

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x=

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y+

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8 0
3 years ago
F(x) = -x^2-3x<br> find f (10)
Effectus [21]

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    f*(x)-(-x^2-3*x)=0  

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  fx + x2 + 3x  =   x • (f + x + 3)  

Equation at the end of step

2

:

 x • (f + x + 3)  = 0  

STEP

3

:

Theory - Roots of a product

3.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

3.2      Solve  :    x = 0  

 Solution is  x = 0

Equation of a Straight Line

3.3     Solve   f+x+3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  f+x+3  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of f is -3/1 so this line "cuts" the f axis at f=-3.00000

 f-intercept = -3/1  = -3.00000  

Calculate the X-Intercept :

When f = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000

 x-intercept = -3/1  = -3.00000  

Calculate the Slope :

Slope is defined as the change in f divided by the change in x. We note that for x=0, the value of f is -3.000 and for x=2.000, the value of f is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in f. (The change in f is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -2.000/2.000 = -1.000  

Geometric figure: Straight Line

 Slope = -2.000/2.000 = -1.000

 x-intercept = -3/1 = -3.00000

 f-intercept = -3/1 = -3.00000

x = 0

3 0
2 years ago
HELP: Part A: Using computer software, a correlation coefficient of r=0.51 was calculated. Based on the scatter plot, is that an
user100 [1]

Answer:

Part A: YES, it is.

Part B: the amount of pumpkin picked and the amount of fertilizer applied.

Step-by-step explanation:

Part A:

The closer the correlation coefficient is to 1, the stronger the relationship between two variables, and vice versa. Also, the closer the data points are on a scatter plot, the closer the correlation coefficient is to 1.

The scatter plot shown indicates a positive correlation between number of days and number of pumpkins. However, the data points are to some extent farther apart from each other. This shows a moderate relationship between the two variables. Therefore, a correlation coefficient, r, of 0.51 that was calculated can be concluded to be accurate , because an r of 0.51 depicts a moderate relationship between two variables.

Part B:

A variable that could affect the number of pumpkins picked could be amount of fertilizer applied, instead of the day in October. Thus, we can compare the amount of pumpkin picked and the amount of fertilizer applied.

8 0
3 years ago
Find the value of 3a + 7b if a=6 and b=4
EastWind [94]

Answer:

The answer would be 46. Hope this helps!

8 0
2 years ago
Let's say I have a question asking me which would best suit the data set.
Zarrin [17]
Wait doesn’t it tell you how to solve it tho
7 0
3 years ago
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