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igomit [66]
3 years ago
6

A rectangle has a fixed perimeter of 350 but the length and width of the rectangle can vary. Define a function g that determines

the area of the rectangle (in square inches) given the length of the rectangle in inches, l.
Mathematics
1 answer:
Verdich [7]3 years ago
5 0

Answer:

g(L) = 175L - L²

Step-by-step explanation:

350 = 2(length + width)

length + width = 175

Let L be the length,

L + width = 175

width = 175 - L

Area = length × width

g(L) = L(175 - L)

g(L) = 175L - L²

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Find a counterexample to show that the following statement Is false. The sum of two digit numbers is a three digit number
Zarrin [17]

Answer:

See explanation below.

Step-by-step explanation:

We have the statement that says that the sum of two two-digit numbers is a three digit number.

To prove that this statement is false, we only need to give a counterexample. This means that we have to find two two-digit numbers that does not sum a three digit number.

Let's take 11 and 12, if we sum  them we have: 11 + 12 = 23.

23 is clearly a two digit number.

Therefore, the sum of two two-digit numbers is not a three digit number.

5 0
3 years ago
What is the shaded area?
spin [16.1K]

Answer:

The total area (including the area of the circle) would be 16 × 16 = 256 square centimetres.

The area of the circle would be (taking the value of pi as 3.14) is 200.96 square centimetres

The area of the shaded region would be 256 - 200. 96 = 55.04 square centimetres

3 0
3 years ago
This year, a small business had a total revenue of $ 62 , 100. If this is 35 % more than their total revenue from the previous y
Olegator [25]

Answer:

$46000

Step-by-step explanation:

if x represents the previous years revenue, and they made 35% more than x, we need to find what 35% of x is and then add it to x to get the new total, so the equation becomes:

x + .35x = 62100

1.35x = 62100

x = 46000

4 0
3 years ago
Read 2 more answers
If (9x − 4)(9x + 4) = ax² − b, what is the value of a? (5 points)
lions [1.4K]

Given, (9x - 4)(9x + 4) = ax² - b

From algebraic identities:

We know, (a + b)(a - b) = a² - b²

Now, 81x² + 36x - 36x - 16 = ax² - b

81x² - 16 = axis² - b

So ax² = 81x²

a = 81

-b = -16

b = 16

Solution

Therefore, the value of a is 81.

<h2>MyHeritage</h2>
8 0
2 years ago
Read 2 more answers
At an art exhibition there are 12 paintings of which 10 are original. A visitor selects a painting at random and before decides
Reika [66]

Answer:

a) 0.8333

b) 0.75

c) 0.8181 or 0.9090

Step-by-step explanation:

a)

The probability the visitor selects an authentic painting is  

10/12 = 0.8333

b)

Since the opinion of the expert does not depend on your choice, the events are <em>independent</em>, so the probability that the expert says is authentic and it really is, is

0.8333*0.9 = 0.75

c)

If the expert decides the painting is a copy and it is not, then there are 11 paintings of which 9 are authentic, so the probability the visitor selects a new original painting is

9/11= 0.8181

If the expert decides the painting is a copy and it is, then there are 11 paintings of which 10 are authentic, so the probability the visitor selects a new original painting is

10/11= 0.9090

8 0
3 years ago
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