Answer:
its d
Step-by-step explanation:
edge
79.56 would be the answer, (i’m pretty positive) because you take all three numbers and you multiply them together.
Answer:
a) possible progressions are 5
b) the smallest and largest possible values of the first term are 16 and 82
Step-by-step explanation:
<u>Sum of terms:</u>
- Sₙ = n/2(a₁ + aₙ) = n/2(2a₁ + (n-1)d)
- S₂₀ = 20/2(2a₁ + 19d) = 10(2a₁ + 19d)
- 2020 = 10(2a₁ + 19d)
- 202 = 2a₁ + 19d
<u>In order a₁ to be an integer, d must be even number, so d = 2k</u>
- 202 = 2a₁ + 38k
- 101 = a₁ + 19k
<u>Possible values of k= 1,2,3,4,5</u>
- k = 1 ⇒ a₁ = 101 - 19 = 82
- k = 2 ⇒ a₁ = 101 - 38 = 63
- k = 3 ⇒ a₁ = 101 - 57 = 44
- k = 4 ⇒ a₁ = 101 - 76 = 25
- k = 5 ⇒ a₁ = 101 - 95 = 16
<u>As per above, </u>
- a) possible progressions are 5
- b) the smallest and largest possible values of the first term are 16 and 82
The solutions to the given inequalities are x < 6 OR x < -10
<h3>Linear Inequalities </h3>
From the question, we are to solve the given inequalities
The given inequalities are
6x - 4(2x - 5) > 8 or 5x + 9 < 2x - 21
First solve,
6x - 4(2x - 5) > 8
Clear the bracket
6x -8x + 20 > 8
6x - 8x > 8 - 20
-2x > -12
Divide both sides by -2 and flip the sign,
That is,
-2x/-2 > -12/-2
x < 6
For,
5x + 9 < 2x - 21
Subtract 2x from both sides
5x - 2x + 9 < 2x - 2x -21
3x < -21 -9
3x < -30
Divide both sides by 3
3x/3 < -30/3
x < -10
Hence, the solutions to the given inequalities are x < 6 OR x < -10
Learn more on Inequalities here: brainly.com/question/246993
#SPJ1
