Answer:
- a) f(x) = - 20x + 450
- b) 30 pages left to read
Step-by-step explanation:
<u>Given sequence:</u>
The first term is 430 and the common difference is - 20.
a)
<u>Required function is:</u>
- f(x) = 430 - 20Ix - 1) = 430 - 20x + 20 = 450 - 20x
or
b)
<u>Find the number of pages left after 21 days:</u>
- f(21) = 450 - 20*21 = 450 - 420 = 30
Yes, because of the AAA criteria.
Answer:
<u>x = 6, length = 8 cm and width = 7 cm</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Area of a rectangle = 56 cm²
Length of the rectangle = x + 2
Width of the rectangle= 2x - 5
2. Solve for x. Round to the nearest whole number.
Area of a rectangle = Length * Width
(x + 2) (2x - 5) = 56
2x² + 4x - 5x -10 = 56
2x² - x - 66 = 0
Factoring, we have:
(2x + 11) * (x - 6) = 0
x₁ = 2x + 11 = 0 ⇒ 2x = -11; x₁ = - 5.5
x₂ = x - 6 = 0 ⇒ x₂ = 6
We picked x₂ because x₁ will give us negative values for length and width.
Length = 6 + 2 = 8 cm
Width = 2 * 6 - 5 = 12 - 5 = 7 cm
Answer: x=6
Step-by-step explanation:
Since it is an isosceles triangle, all sides are the same length.
2x=12
x=6
Answer:
Step-by-step explanation:
For this you just have to make an equation and in order to do that you have to know that all these angles will equal 180°. Now we can write it out.
Now we combine like terms:
Add the 9 on both sides:
Divide the 21 on both sides:
