Answer:
The value of a₂₇ is 788
Step-by-step explanation:
a₁₉ = 548
a₃₃ = 968
Now,
a₁₉ = 548 can be written as
a + 18d = 548 ...(1) and
a₃₃ = 968 can be written as
a + 32d = 968 ...(2)
Now, from equation (2) we get,
a + 32d = 968
a + 18d + 14d = 968
548 + 14d = 968 (.°. <u>a + 18d = 548</u>)
14d = 968 - 548
14d = 420
d = 420 ÷ 14
d = 30
Now, for the value of a put the value of d = 30 in equation (1)
a + 18d = 548
a + 18(30) = 548
a + 540 = 548
a = 548 - 540
a = 8
Now, For a₂₇
a₂₇ = a + 26d
a₂₇ = 8 + 26(30)
a₂₇ = 8 + 780
a₂₇ = 788
Thus, The value of a₂₇ is 788
<u>-TheUnknownScientist</u>
Answer:
y = 2 for x < 0
x for 0 ≤ x < 3
3 for x ≥ 3
Step-by-step explanation:
From the graph attached,
Equation of line (1),
y = 2
Where x < 0
Let the equation of line (2) is,
y = mx + b
y-intercept 'b' = 0 [line (2) passes through origin]
Slope of the line 'm' =
=
= 1
Therefore, equation of line (2) will be,
y = x
where 0 ≤ x < 3
Equation of line (3) will be,
y = 3
Where x ≥ 3
Therefore, piecewise linear function will be,
y = 2 for x < 0
x for 0 ≤ x < 3
3 for x ≥ 3
If you are asking how much it is increased, it is 39.
0.81 = 0.81 / 1
Numerator = 0.81 × 10 × 10 = 81
Denominator = 1 × 10 × 10 = 100
Numerator / Denominator = 81 / 100
Simplifying our fraction
= 81/100
= 81/100