Step-by-step explanation:
1 flight of stairs = 13 steps
9 flight of stairs = 117 steps
5days = 117 x 5 = 585 steps
Answers:
The first and third options should be selected.
- The ordered pair (10,5) is a solution to the first equation because it makes the first equation true.
- The ordered pair (10,5) is not a solution to the system because it makes at least one of the equations false.
Explanation:
In order for a point to be a solution to a system of equations, it must make both equations true when its x and y values are substituted in. That being said, we need to test if (10,5) is a solution for the two equations.
Let's try the first equation. Substitute 10 for x and 5 for y and solve:
![2x - 5y = -5\\2(10) - 5(5) = -5\\20 - 25 = -5\\-5 = -5](https://tex.z-dn.net/?f=2x%20-%205y%20%3D%20-5%5C%5C2%2810%29%20-%205%285%29%20%3D%20-5%5C%5C20%20-%2025%20%3D%20-5%5C%5C-5%20%3D%20-5)
-5 does equal -5, so (10,5) is a solution to the first equation.
Next, let's test the second equation. Do the same:
![x + 2y = 11\\(10) + 2 (5) = 11\\10 + 10 = 11\\20 = 11](https://tex.z-dn.net/?f=x%20%2B%202y%20%3D%2011%5C%5C%2810%29%20%2B%202%20%285%29%20%3D%2011%5C%5C10%20%2B%2010%20%3D%2011%5C%5C20%20%3D%2011)
However, 20 does not equal 11, therefore (10,5) is not a solution to the second equation.
So far, we know that (10,5) is a solution to the first equation, but not the second equation. Knowing this, it cannot be a solution to the system because it does not make both equations true. Therefore, only the first and third options should be selected.
Answer:
y=3/2x-7
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
The excluded values are any values of x that make the function undefined
Given
![\frac{1}{(x+4)(x-2)(x-5)}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%28x%2B4%29%28x-2%29%28x-5%29%7D)
The denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the values that x cannot be.
(x + 4)(x - 2)(x - 5) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
x - 5 = 0 ⇒ x = 5
x = - 4, x = 2, x = 5 are the excluded values
Answer:
97π m² ≈ 304.7 m²
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr²
The sum of the areas of the two circles is ...
A = π(9 m)² + π(4 m)² = π(81 +16) m²
= 97π m² ≈ 304.7 m²