Answer:
12
Step-by-step explanation:
A sequence is given and we need to find the term when it will become -24 . The given sequence is,
9 , 6 , 3 ,0 , . . . . .
Here Common Difference can be calculated by subtracting consecutive terms . So the Common Difference is 6-9 = -3 . Here the nth term is (-24) .Now using the formula to find nth term .
⇒ T_n = a + (n-1)d
⇒ (-24) = 9 + (n-1)(-3)
⇒ -24-9 = (n-1)(-3)
⇒ (n-1) = -33/-3
⇒ n-1 = 11
⇒ n = 11 + 1
⇒ n = 12
<h3>
<u>Hence </u><u>the</u><u> </u><u>requi</u><u>red</u><u> </u><u>number</u><u> </u><u>of</u><u> </u><u>term</u><u> </u><u>is</u><u> </u><u>1</u><u>2</u><u>.</u></h3>
Answer:
slope = 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m =
=
= 
Answer:
1st option
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = 2x + 1 ( subtract 1 from both sides )
y - 1 = 2x ( divide both sides by 2 )
= x
Change y back into terms of x with x being the inverse h(x)
h(x) =
=
x - 
Answer:3/20
Step-by-step explanation:
Fraction of total area mowed = (3/5) + (1/4) = 17/20
Therefore fraction of total area left = 1 - (17/20) = (20/20) - (17/20) = 3/20