Answer:Teo's age = 7 years ,Richard's age = 19 years
Step-by-step explanation:
Step 1
Let Teo's age be represented as x
Such that Richard 's age = 5 + 2x
and their combined ages equaling 26 can be expressed as
x + 5+ 2x = 26
Step 2 --- SOLVING
x + 5+ 2x = 26
3x+ 5= 26
3x= 26-5
3x= 21
x = 21/3
x = 7
Teo's age = 7 years
Richard's age = 5+2x= 5 + 14= 19 years
The first step is to write this equation into general form. The
general form of an equation is:
ax^2 + bx + c = 0
To make this equation to general form, you have to simplify
the equation first.
2/3(x-4) (x+5) = 1
2/3 (x^2 + 5x – 4x – 20) = 1
2/3(x^2 + x -20) = 1
2/3x^2 + 2/3x – 40/3 = 1
2/3x^2 + 2/3x – 40/3 – 1 = 0
2/3x^2 +2/3x – 43/3 = 0
Therefore, a = 2/3 ; b = 2/3 ; c = -43/3
1. Using your straightedge, draw a reference line, if one is not provided.
2. Copy the side of the square onto the reference line, starting at a point labeled A'.
3. Construct a perpendicular at point B' to the line through ab2.
4. Place your compass point at B', and copy the side of the square onto the perpendicular b'g. Label the end of the segment copy as point C.
5. With your compass still set at a span representing AB, place the compass point at C and swing an arc to the left.
6. Holding this same span, place the compass point at A' and swing an arc intersecting with the previous arc. Label the point of intersection as D.
7. Connect points A' to D, D to C, and C to B' to form a square.
Answer:
78
Step-by-step explanation:
Answer:
When we have a function f(x), the domain of the function is the set of all the inputs that "work" (Not only in a mathematical way, the context is also important) with the function f(x)
In this case, we have a function M(p) = $2*p
This function represents the amount of money collected depending on the number of people who ride on the ferris whell.
Then p can be only a whole number (we can not have 1.5 people, only whole numbers of people).
And we also know that the maximum capacity of the ferris is 64 people.
Then:
p ≤ 64
And we also should add the restriction:
0 ≤ p ≤ 64
(Because p can't be smaller than zero)
Such that p should also be an integer, then, the domain is:
D: p ∈ Z, p ∈ {0, 1, 2, ..., 64}
