Answer:
(a) x + 3(x + 4) = 5(x + 2) - 5
(b) youngest: 7 years old
middle: 9 years old
oldest: 11 years old
Step-by-step explanation:
(a)
We know that x is the youngest child's age. Since the sisters' ages are consecutive odd integers, we know that the ages differ by 2. So, the middle sister's age is x + 2 and the oldest sister's age is x + 4.
Our equation to model the sentence "the sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister's age" would be:
x + 3 * (x + 4) = 5 * (x + 2) - 5
x + 3(x + 4) = 5(x + 2) - 5
(b)
Now, we can just solve the equation above:
x + 3(x + 4) = 5(x + 2) - 5
x + 3x + 12 = 5x + 10 - 5
4x + 12 = 5x + 5
x = 12 - 5 = 7
So, the youngest sister is 7 years old.
That means the middle sister is 7 + 2 = 9 years old, and the oldest sister is 9 + 2 = 11 years old.
The ages, then, are:
youngest: 7 years old
middle: 9 years old
oldest: 11 years old
Line 1: We are given the points (-3, 1) and (-7, -2).
Line 2: We are given the points (2, -1) and (8, 4).
In order to calculate the slope, we use the formula:
m = (y2-y1)/(x2-x1)
Substitute in the points to find the slope.
Line 1: (-2 - 1)/(-7 - (-3)) = -3/-4 = 3/4.
Line 2: (4 - (-1))/(8-2) = 5/6.
Answer:
25 months
Step-by-step explanation:
when the rent, y = 0, we have,
y = -200.22x + 5014.20
y = 0
0 = -200.22x + 5014.20
200.22x = 5014.20
x = 5014.20 ÷ 200.22
x = 25.0434
x = 25(appx.)
Sorry, I don't know what you mean by interpolation and extrapolation:(
You just have to find what number times 9 equals your original equation so 9 and -2 are -18 and 9 and 3 are 27 so your distributed equation would be:
9(-2x+3)
Answer:
depends on what the radius is
:)
Step-by-step explanation:
