Y = 3/2x + b
4 = 3/2(-10) + b
4 = -15 + b, b = 19
Y = 3/2x + 19
Median of 15
(14 + b) / 2 = 15
14 + b = 15 * 2
14 + b = 30
b = 30 - 14
b = 16
range of 30
c - a = 30....c = 30 + a
mean of 18
(a + 8 + 14 + 16 + 26 + c) / 6 = 18
(a + 8 + 14 + 16 + 26 + (30 + a)) / 6 = 18
(2a + 94) / 6 = 18
2a + 94 = 18 * 6
2a + 94 = 108
2a = 108 - 94
2a = 14
a = 14/2
a = 7
c - a = 30
c - 7 = 30
c = 30 + 7
c = 37
check..
7,8,14,16,26,37
median = (16 + 14) / 2 = 30/2 = 15 ...correct
range = 37 - 7 = 30...correct
mean(average) = (7 + 8 + 14 + 16 + 26 + 37) / 6 = 108/6 = 18...correct
so a = 7, b = 16, and c = 37
Answer:
I can try to answer.
Step-by-step explanation:
1. 23
2. 25
3. week 4 is 29, and week 3 is 23
29-23=6
4. week 5 and 7 because on week 4 it was 29, it dropped to 25 on week 5. On week 6 it was 37, then dropped to 34 on week 7.
Im not rlly sure about 5, but ill answer it if I figure it out.
The value of λ is - 2 and other zero is also - 2.
<h3>Justification:</h3>
Let <u>p(x) = 2x² + 3x + λ</u>
<u>Its one zero is 1/2</u>, so p(1/2) = 0
p(1/2) = 2 × (1/2)² + 3 × 1/2 × λ
⇒ 1/2 + 3/2 + λ = 0 ⇒ 4/2 + λ = 0
⇒ 2 + λ = 0 ⇒ λ = - 2
<u>Let the other zero be α</u>,
Then α + 1/2 = - 3/2 ⇒α = - 3/2 - 1/2 = - 2
