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Katyanochek1 [597]
2 years ago
5

Shana wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of t

he run 20 feet. She writes and solves the equation 2 l plus 2 w equals 62 to find the width of the run. Which statements are true of the solution? Check all that apply.

Mathematics
2 answers:
otez555 [7]2 years ago
7 0

C) The value of w cannot be a negative number.

D) Substitution is used to replace the variable l with a value of 20.

E) The subtraction property of equality is used to isolate the term with the variable w.

elixir [45]2 years ago
6 0

Answer:

11ft is the width

Hope this helps! Please mark as brainliest.

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Tony is 4 years younger than his brother josh and two years older than his sister Cindy. Tony also has a twin brother, Evan. All
Sholpan [36]

Let Tony's age = x

He is 4 years younger than his brother Josh, so Josh's age would be x + 4

He is 2 years older than his sister, so her age would be x - 2

He has a twin, which would be the same age, so the twins age is also x

They all add together to equal 66, so you get:

x  + x + x+4 + x-2 = 66

Simplify:

4x +2 = 66

Subtract 2 from both sides:

4x = 64

Divide both sides by 4:

x = 64/4 = 16

Tony is 16 years old.

8 0
2 years ago
Find the inverse of the function. y = x2 + 4x + 4
alex41 [277]
<span>The given function is ⇒⇒⇒  y = x² + 4x + 4
</span>
To find the inverse of the function, we need to make x as a function of y and at the final step make a switch between x and y (i.e. make x as y and y as x)
y = x² + 4x + 4  ⇒⇒⇒ factor the quadratic equation
y = (x+2)(x+2)
y = (x+2)²         ⇒⇒⇒ take the square root to both sides
√y = x+2
x = √y - 2         ⇒⇒⇒ x becomes a function of y
final step:
∴ y = √x - 2   ⇒⇒⇒ the inverse of the given function

So, as a conclusion:
f(x) = y = x² + 4x + 4  ⇒⇒⇒ the given function

f⁻¹(x) = y = √x - 2       ⇒⇒⇒ the inverse of the given function


7 0
2 years ago
Read 2 more answers
Which three-dimensional figure has half the number of vertices as the rectangular prism?
monitta

Answer:

1. The rectangular prism is a right prism with rectangular bases (check the picture)

2. It has 8 vertices, so we are looking for 3d figures with 4 vertices.

3. A face can have at least 3 vertices, and the 4th must be outside of the plane determined by the first 3 vertices. This makes 4 vertices in total.

4. The 3d figure described in step 3 is a pyramid.

so the answer is prism

Step-by-step explanation:

4 0
2 years ago
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A local trucking company fitted a regression to relate the travel time (days) of its shipments as a function of the distance tra
alina1380 [7]

Answer:

1.734

Step-by-step explanation:

Given that:

A local trucking company fitted a regression to relate the travel time (days) of its shipments as a function of the distance traveled (miles).

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Based on a sample size n = 20

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Let's determine the degree of freedom df = n - 1

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the degree of freedom df =  18

At the level of significance ∝ = 0.05 and degree of freedom df =  18

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5 0
2 years ago
A company produces canned tomatoes. They want the height h of each can to be twice the diameter d. Enter an equation for the sur
lutik1710 [3]

Answer:

The equation is:

(2×π×r×4r)+(2×π×r^2)= A

The maximum radius of the can they will produce = 1.7 inches

Step-by-step explanation:

Please see the attached files for explanation

5 0
2 years ago
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