Answer:
(x+1)(x+8) When factoring squares whose squared coefficient is one the roots must add up to the coefficient of the slope and multiply out to the intercept value.
Geometric sequences go up due to a common ratio. Here the common ratio can be worked out by dividing a term by its previous term e.g term 2 divided by term 1.
Therefore the common ratio is 6.
Answer: -3/10
Step-by-step explanation: A positive and a negative will subtract.
1. Find the common denominator (8/10)
2. simce 8/10 is greater than 1/2 you need to add a negative to get 8/10 a lower value
3. subtract 5/10 or 1/2 from 8/10 to figure out what gives you the correct answer
The answer is 80 degrees. As you can see, the triangle is an isosceles triangle and both sides of the triangle equal 14. If both of the sides are congruent then the opposite angles are also congruent as well. Which means the 50 degrees in the left angle is congruent to the right angle, 50. Since triangles add up to 180 degrees, the answer for x would be 80.
Hope this helped :)
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
