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victus00 [196]
3 years ago
15

What is a constant interval and how does it appear on a graph?

Mathematics
2 answers:
Novay_Z [31]3 years ago
8 0
<span>Pre-Calculus - Identify where a function is increasing decreasing or constant from the graph
</span>
Example: The graph<span> shown above is decreasing from the point (3,4) to the point (5,-5), described as decreasing when 3 < x < 5. Using interval notation, it is described as decreasing on the interval (3,5). </span>Constant<span>: A function is </span>constant<span>, if as x increases (reading from left to right), y stays the same.

watch this video
</span>
8090 [49]3 years ago
3 0
A function whose value does not vary, regardless of the input.
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The longer leg of a right triangle is 1 m longer than the shorter leg. The hypotenuse is 9 m longer than the shorter leg. Find t
Rudiy27

Answer:

Correct answer:  c = 29 m, a = 21 m  and b = 20 m

Step-by-step explanation:

Given:

a = b + 1  longer leg a

c = b + 9 hypotenuse c

To solve this problem, we will use Pythagoras' theorem

c² = a² + b²

(b + 9)² = (b + 1)² + b²  

b² + 18 b + 81 = b² + 2 b + 1 + b²

2 b² - b² + 2 b - 18 b + 1 - 81 = 0

b² - 16 b - 80 = 0  we will factorize this equation

⇒ b² - 20 b + 4 b - 80 = b (b - 20) + 4 ( b - 20) = (b - 20) · (b + 4) = 0

(b - 20) · (b + 4) = 0 ⇒ b = 20  or b = - 4  false

we accepted b = 20 m

c = b + 9 = 20 + 9 = 29 m

c = 29 m

a = b + 1 = 20 + 1 = 21 m

a = 21 m

God is with you!!!

5 0
3 years ago
Two cards are randomly selected from an ordinary playing deck.
Anna007 [38]

Answer:

The required probability is 0.048

Step-by-step explanation:

Consider the provided information.

Out of 52 card we need to select only 2.

Therefore the sample space is: ^{52}C_2=1326

One card is Ace. The number of Ace are 4 and we need to select one of them.

This can be written as: ^4C_1=4

The second card can be Ten or a Jack or a Queen or a King.

There are 4 Ten, 4 jack, 4 Queen, and 4 king in a deck and we need to select only 1 out of them.

So we can say that we need to select 1 card out of 16.

This can be written as: ^{16}C_1=16

Thus, the probability that one of the cards is an ace and the other one is either a ten, a jack, a queen or a king is:

P=\frac{16\times4}{1326}\approx0.048

Hence, the required probability is 0.048

3 0
4 years ago
Move polygon ABCD to a location of your choice on the coordinate plane, and change the orientation of . Be sure that the preimag
const2013 [10]

Answer:

Vertex  Distance to   Vertex  Distance to  

A 3.6  AEF 3.6

B 2.2  BEF 2.2

C 2.0  CEF 2.0

D 3.4  DEF 3.4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
5(-5x - 2) = 10(-5x+4)
natulia [17]

Answer:

5(-5x - 2) =

-25x - 10

10(-5x+4) =

-50x + 40

-25x-10 = -50x+40

-25x = -50x + 50

25x = 50

x = 2

7 0
3 years ago
Read 2 more answers
What is the value of 3 to the power 2 over 3 to the power 4? A. 1 over 81 B. 1 over 27 C. 1 over 9 D. 1 over 3
rodikova [14]
One way you could solve this is to just multiply the top and bottom out so that you get 9/81, reducing it by 9/9 to get 1/9 or option C.
Another way would be to do 3^{(2-4)} since dividing numbers with exponents would be subtracting the bottom exponent from the top exponent, provided that the base number (in this case 3) is the same for both. For this method, you would get 3^{-2}, which is equal to 1/9 or .1 repeating, the same answer that you'd get with the first method.
6 0
3 years ago
Read 2 more answers
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