The LCD is 72
8/9 = 64/72
7/8 = 63/72
Let f(x) represents function that tells us Derek's earning depending on square feet of lawn mowed which is x.
First we construct function:
f(x) = x/1000 * 1 + 30
x/1000 is a number that tells us the number of mowed units. for x = 1000 square feet he earns 1 dollar that is why we have to divide x by 1000.
if he earned 204 first week that means that x =:
204 = x/1000 + 30
x/1000 = 174
x = 174 000
if we check for each week that he worked we will see that square footage of the lawns he mowed match forth (last) option.
Answer is D.
If a function is divergent, its value will start to increase or decrease towards infinity or negative infinity respectively. If the function is convergent, its value starts to converge to a single one as iterations increase.
Answer:
The coordinates of B is (3, - 5)
Step-by-step explanation:
A(6, 1)
C(2, -7)
Coordinates of point B such that AB = 1/3 × BC
Hence we have;
Therefore BC = 3/4 × AC
Hence, AB = 1/3 × BC = 1/3 × 3/4 × AC = 1/4 × AC
AC = √((6 - 2)² + (1 - (-7))²) = √(16 + 64) = √80 = 4·√5
AB = 1/4 × 4·√5 = √5
Therefore;
AB² = (x - 6)² + (y - 1)² = 5
Slope = (1 - (-7))/(6 - 2) = 2
Hence the y coordinate of B = -7 + sin(tan⁻¹(2)) ×√5 = -5
The x coordinate of B = 2 + cos(tan⁻¹(2)) ×√5 = 3
The coordinates of B = (3, - 5)
