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Nana76 [90]
3 years ago
6

The width, w, of a rectangular playground is x+3. The area of the playground is x^3-7x+6. What is an expression for the length o

f the playground?
Mathematics
1 answer:
jeka57 [31]3 years ago
7 0
We know that the area of a rectangle:

A = l * w

Therefore, x³-7x+6 = length * (x+3) 

If we want to find the length, we must get this alone on the right side of the equation.  We can do this by dividing both sides by the width, which we know is x+3.

Thus, an expression for the length is equal to x³-7x-6/(x+3).
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If function g is defined by the equation y − 3x = -14, which equation represents the function in function notation? A. g(x) = 3x
N76 [4]

The following equation represents the function g in function notation,

g(x) = 3x - 14 [Option (A)]

Definition of a Function

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A function, in general, represents the idealized relationship between two changing quantities.

Given equation is,

y -3x = -14

⇒ y = -14 + 3x

or y = 3x - 14

Here, y stands for or represents the function g(x) which is a function of independent variable x.

Thus, the correct function notation is as follows,

g(x) = 3x - 14

Learn more about a function here:

brainly.com/question/12431044

#SPJ1

6 0
1 year ago
Please help ASAP!!!! Will give brainlist :)
almond37 [142]

Answer:

(D) Each year,the machinery loses a value of 4,500

When it is 3 years old,it is worth a little over 35K ,and when it is 6 years old,its worth about 22K.

This info means  A,C and B is wrong b/c it loses too little value per year.

7 0
3 years ago
A quantity P is an exponential function of time I, such that P = 160 when t = 6 and P = 150 when I = 4. Use the given informatio
Klio2033 [76]

Answer:

  • k = 0.032
  • P0 = 131.836

Step-by-step explanation:

Perhaps you want to use the points (t, P) = (4, 150) and (6, 160) to find the parameters P0 and k in the equation ...

  P(t)=P_0\cdot e^{kt}

We know from the given points that we can write the equation as ...

  P(t)=150\left(\dfrac{160}{150}\right)^{(t-4)/(6-4)}=150\left(\dfrac{16}{15}\right)^{\frac{t}{2}-2}\\\\=150\left(\dfrac{16}{15}\right)^{-2}\times\left(\left(\dfrac{16}{15}\right)^{\frac{1}{2}}\right)^t

Comparing this to the desired form, we see that ...

  P_0=150\left(\dfrac{16}{15}\right)^{-2}\approx 131.836\\\\e^{k}=\left(\dfrac{16}{15}\right)^{1/2}\rightarrow k=\dfrac{1}{2}(\ln{16}-\ln{15})\approx 0.0322693

So, the approximate equation for P is ...

  P(t)=131.836\cdote^{0.032t}

And the parameters of interest are ...

  • k = 0.032
  • P0 = 131.836
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3 years ago
How do you write <br> 82.33 in words
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Eighty two point thirty three ..?
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Which of the following is in standard form of quadratic?
shutvik [7]

Answer:

I think C and D options can be correct

Step-by-step explanation:

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