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Semmy [17]
1 year ago
8

Write a function rule for the area of rectangle whose length is 2ft more than its width. What is the area of the rectangle when

its width is 11ft
Mathematics
1 answer:
Marianna [84]1 year ago
3 0

According to the problem, the length is 2 feet more than its width, which is expressed as the following function

l=w+2

If the width is x, then the length is x+2.

We can express the following function for the area

A(x)=x(x+2)

Let's replace the width x = 11 ft.

A(11)=11\cdot(11+2)=11(13)=143<h2>Hence, the area is 143 square feet. </h2><h2>The function for the area is</h2>A(x)=x(x+2)

Where x represents the width.

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What does the pair of equations y = 3, z = 7 represent? In other words, describe the set of points (x, y, z) such that y = 3 and
earnstyle [38]

Answer:

the pair of equations y = 3, z = 7 represent the intersection of two plans, The set of points is (0,3,7) and the line is parallel to x axis.

Step-by-step explanation:

Consider the provided equation.

y=3 represents a vertical plane which is in xy plane.

Z=7 represents a horizontal plane which is parallel to xy plane

The both planes are perpendicular to each other and intersect.

y=3 and z=7 is the intersection of two plans, where the value of x is zero y=3 and z=7.

The set of points is (0,3,7) and the line is parallel to x axis.

7 0
3 years ago
Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e0.0205t,wh
svetoff [14.1K]

Answer: a) 236,000.

b) 2021

Step-by-step explanation:

Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e^{0.0205t}    (1)

where t = 0 corresponds to 1980.

Then , for 2009

t= 2009-1980=29

a. ⇒The population of Phoenix in 2009 =  p = 130e^{0.0205(29)}

p = 130e^{0.5945}

p =130(1.81212465608)=235.57620529\approx236

Hence, the population of Orlando in 2009 was about 236,000.

b) Substitute p= 300 in (1) , we get

300 = 130e^{0.0205t}

2.3077= e^{0.0205t} (Divide both sides by 130)

Taking Natural log on both sides,

\ln(2.3077) = 0.0205t\\\\\Rightarrow\ t=\dfrac{\ln(2.3077)}{0.0205}

t=\dfrac{0.836251357528}{0.0205}=40.7927491477\approx41

Hence, The year Orlando will have a population of 300,000 =1980+41 =2021

6 0
3 years ago
2x+3y=9xy is this a linear or non-linear function pls give steps if posible​
liq [111]

Answer:

Step-by-step explanation:

To Differentiate A linear Function from a non-linear one we have Several rules.

1: check the Variables exponent degree of the function if the exponent is zero or 1 of the function that's the function is linear.

2: if it's not 0 or 1 and Greater than 1 than it's non linear function also if the exponent is of any negative value like -1 or -2 than it's also a non linear function. The Given function is a non linear function because the 9xy value has two variables multiplied if we add the exponent values together which are 1+1 = 2 hence proved it's a non linear function. One More Thing a graph of non linear function will be always other than that of a straight line.

7 0
3 years ago
Find a fraction with a demominator of 30 that is equivalent to 1/3
Harman [31]

Answer:

10/30

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First, multiply the denominator by 10 to make 30.

Then, since we multiplied the denominator, we multiply the numerator. 1 x 10= 10

Therefore the answer is 10/30.

4 0
3 years ago
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