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Neporo4naja [7]
3 years ago
10

1. JP Construction is building a rectangular children's wading pool for the local community center. The pool will be 4.5 meters

wide. To meet city building code guidelines, the area of the pool must not be larger than 8 square meters. Which inequality represents the possible lengths of the wading pool, where x represents the length of the wading pool in meters?
Mathematics
1 answer:
Bond [772]3 years ago
5 0

Answer:

x\leq 1.78

Step-by-step explanation:

We are given that

Width of pool, b=4.5 m

We have to find the inequality which  represents the possible lengths of the wading pool.

Let x be the length of wading pool

We know that

Area of rectangle=length\times breadth

According to question

Using the formula

4.5x\leq 8

Divide by 4.5 on both sides we get

x\leq\frac{8}{4.5}

x\leq 1.78

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Which pair of functions are inverses of each other?
AlladinOne [14]

Answer:

The only pair of functions that are inverses of each other are the ones for option D.

Step-by-step explanation:

Two functions, f(x) and g(x), are inverses if and only if:

f( g(x) ) = x

g( f(x) ) = x

So we need to check that with all the given options.

A)

f(x) = \frac{x}{7} + 10 \\g(x) = 7*x - 10\\

then:

f(g(x)) = \frac{7*x + 10}{7} -10 = x + \frac{10}{7}  - 10

This is clearly different than x, so f(x) and g(x) are not inverses.

B)

f(x) = \sqrt[3]{11*x} \\g(x) = (\frac{x}{11} )^3

Then:

f(g(x)) = \sqrt[3]{11*(\frac{x}{11})^3 }  = \sqrt[3]{\frac{x^3}{11^2} } = \frac{x}{11^{2/3}}

This is different than x, so f(x) and g(x) are not inverses.

C)

f(x) = \frac{7}{x} -2 \\g(x) = \frac{x + 2}{7}

Then:

f(g(x)) = \frac{7}{\frac{x + 2}{7} } - 2 = \frac{7*7}{x + 2}  - 2

Obviously, this is different than x, so f(x) and g(x) are not inverses.

D)

f(x) = 9*x - 6\\g(x) = \frac{x + 6}{9}

Then:

f(g(x)) = 9*\frac{x + 6}{9}  - 6 = x + 6 - 6 = x\\g(f(x)) = \frac{(9*x - 6) + 6}{9}  = x

In this case we can conclude that f(x) and g(x) are inverses of each other.

5 0
3 years ago
I need help please think before you answer
Nookie1986 [14]

Answer:a^2

Brailniest if this helped ;)

Also the ^ means an exponent just so you know

6 0
2 years ago
Plz solve 20 points plz solve plz solve
Monica [59]

Answer:

55 square meters

Step-by-step explanation:

I used an online calculator and that's what i got

5 0
3 years ago
Read 2 more answers
Write 6.04 x 10 to the power of -3 as an ordinary number
Ann [662]

Answer: 0.00604

Step-by-step explanation: 10^-3 would be 0.001. If you multiply that by 6.04, you will get 0.00604

I hope that helps! :D

4 0
3 years ago
3. List the angles of the triangle in order from smallest to largest.
Veseljchak [2.6K]

Answer:

The list of angles of the triangle in order from smallest to largest will be: A < C < B

Hence, option 'e' is true.

i.e (A,C,B)

Step-by-step explanation:

We know that in a triangle the greater angle has the longer side opposite to it.

From the given triangle,

Side AC = 7.2 is the longer side. Thus, B is the largest angle as it is opposite to the longer side AC = 7.2.

Then comes the second-longest side AB=4.9. Thus, C is the 2nd largest angle it is opposite to the second-longest side AB=4.9.

Finally comes the shortest side BC = 3.2. Thus, A is the shortest angle as it is opposite to the shortest side BC = 3.2.

Thus, the list of angles of the triangle in order from smallest to largest will be: A < C < B

Hence, option 'e' is true.

i.e (A,C,B)

6 0
3 years ago
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