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4vir4ik [10]
4 years ago
6

the smith family is designing new plans for an in ground pool. mr smith draws a rectangular shape with a length that is 5 feet l

onger than the height. write a polynomial expression that represent the area of the pool.
Mathematics
1 answer:
Mnenie [13.5K]4 years ago
4 0
Answer:
area of pool = w(w+5) = w^2 + 5w square feet

Explanation:
The height of the pool is used as its width.
Assume that the width of the pool is w feet.
Now, we are given that the length of the pool is 5 feet longer than its width.
This means that:
length of the pool = w + 5 feet
The area of the rectangle is calculated as follows:
area = length * width
area = (w+5) * (w)
area = w^2 + 5w square feet

Hope this helps :)
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Pls answer for brainliest!
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Answer:

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Step-by-step explanation:

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10h<60-40

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8 0
3 years ago
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Rate of change of 15
konstantin123 [22]

Answer:A General Note: Rate of Change

The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

Step-by-step explanation:

4 0
3 years ago
A set of equations is given below
Alex_Xolod [135]

Answer:

No solution

Step-by-step explanation:

This is no solution due to the fact that the slope of both of the equation are the same. So they are parallel. If the b value is the same then it is infinitely many solutions. Due to the fact that the b value is not the same they are a set of parallel line. Parallel line do not touch or intersect ever so there for this is a no solution set.

4 0
3 years ago
The point P(1,1/2) lies on the curve y=x/(1+x). (a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ correct
lukranit [14]

Answer:

See explanation

Step-by-step explanation:

You are given the equation of the curve

y=\dfrac{x}{1+x}

Point P\left(1,\dfrac{1}{2}\right) lies on the curve.

Point Q\left(x,\dfrac{x}{1+x}\right) is an arbitrary point on the curve.

The slope of the secant line PQ is

\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]

1. If x=0.5, then the slope is

\dfrac{1}{2(0.5+1)}=\dfrac{1}{3}\approx 0.3333

2. If x=0.9, then the slope is

\dfrac{1}{2(0.9+1)}=\dfrac{1}{3.8}\approx 0.2632

3. If x=0.99, then the slope is

\dfrac{1}{2(0.99+1)}=\dfrac{1}{3.98}\approx 0.2513

4. If x=0.999, then the slope is

\dfrac{1}{2(0.999+1)}=\dfrac{1}{3.998}\approx 0.2501

5. If x=1.5, then the slope is

\dfrac{1}{2(1.5+1)}=\dfrac{1}{5}\approx 0.2

6. If x=1.1, then the slope is

\dfrac{1}{2(1.1+1)}=\dfrac{1}{4.2}\approx 0.2381

7. If x=1.01, then the slope is

\dfrac{1}{2(1.01+1)}=\dfrac{1}{4.02}\approx 0.2488

8. If x=1.001, then the slope is

\dfrac{1}{2(1.001+1)}=\dfrac{1}{4.002}\approx 0.2499

7 0
3 years ago
Austin bought 5 pairs of jeans and 2 shirts for $166. Travis bought 3 pairs of jeans and 4 shirts for $164 at the same store. Ho
OLEGan [10]

Answer:

pair of jeans = 21  

shirt = 30.5

Step-by-step explanation:

Let the cost of each pair of jeans be $ x, and the cost of each shirt be $ y.

Since, cost of each pair of jeans is $ x, the cost of 5 pair of jeans will be $ 5x and cost of 2 shirts will be $ 2x.

Likewise, the cost of each pair of jeans is $ x, so the cost of 3 pair of jeans will be $ 3x and cost of 4 shirts will be $ 4y.

5 pair of jeans and 2 shirts for $166. This means:

            Equation 1:    5x + 2y = 166                                            

3 pair of jeans and 4 shirts for $164. This means:

                               2x + 4y = 164

Dividing both sides by 2, we get:

           Equation 2:      x + 2y = 82                                            

Subtracting Equation 2 from Equation 1, we get:

5x + 2y - (x + 2y) = 166 - 82

5x + 2y - x - 2y = 84

4x = 84

y = 30.5

Using the value of x, in Equation 2, we get:

21 + 2y = 82

2y = 61

y = 30.5

Since, x represents the cost of pair of jeans, the cost of each shirt is $ 16.

y represents the cost of sweater, so the cost of each sweater is $ 33.

4 0
3 years ago
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