Answer:
10 terms
Step-by-step explanation:
equate the sum formula to 55 and solve for n
n(n + 1) = 55 ( multiply both sides by 2 to clear the fraction )
n(n + 1) = 110 ← distribute parenthesis on left side
n² + n = 110 ( subtract 110 from both sides )
n² + n - 110 = 0 ← in standard form
Consider the factors of the constant term (- 110) which sum to give the coefficient of the n- term (+ 1)
the factors are + 11 and - 10 , since
11 × - 10 = - 110 and 11 - 10 = + 1 , then
(n + 11)(n - 10) = 0 ← in factored form
equate each factor to zero and solve for n
n + 11 = 0 ⇒ n = - 11
n - 10 = 0 ⇒ n = 10
However, n > 0 , then n = 10
number of terms which sum to 55 is 10
Step-by-step explanation:
to solve for a,
f(-1) = 5
a(-1)^2 + 1 = 5
a + 1 = 5, so a=4
Answer:
Step-by-step explanation:
The equation is x<= 5.
So 5 and all the numbers less than 5 would be an answer for x.
So you would put a closed dot on 5, because x can equal 5. Then put a line pointing right to all the numbers less than 5.
Answer:
88 cans were sold, the most important variable is how much you started with and how much you ended with
Step-by-step explanation:
88 cans were sold because 98-10=88, and the most important variable is how much you started and ended with because the question asks how much were sold and you can't know that without knowing the start amount and end amount which is the 2 variables I used to get 88 in the equation (98-10)
The Equation is 98-10=88
Answer:
18/100 or 9/50
Step-by-step explanation:
0.18 = 0.18/1
times 100 then 18/100
divided by 2 then 9/50
