Any time you have a fraction within an equation, multiply the entire equation by the denominator to clear the fraction. Since the lead term is negative, we can multiply that away as well
(-14) (0=-1/14x²+4x+5) [now distribute]
0=x²-56x+70 [try to factor into binomials first]
Since 70 only has prime factors of 2·5·7, there is no combination which equals (-56). Use the quadratic formula, or complete the square. I'll use quadratic:
x=<u>-b+/-√(b²-4ac)</u>
2a
a=1, b=(-56), c=70
x= <u>-(-56)+/- √((-56)²-4(1)(70)</u>
2(1)
x= <u>56+/- √(3136-280)
</u> 2
<u />x=<u>56+/-√(2856)</u>
2
x=<u>56+/-√(2³·3·119)</u>
2
x=<u>56+/-2√(714)</u>
2
x=28+√714; x=28-√714
Answer:
C
Step-by-step explanation:
The first term = 1500
2nd term = 900
3rd term = 540
The series is a GP.
r = 900/1500 = 0.6
The sum of the first 10 term, S₁₀, is as calculated below.
Sn = a(1-rⁿ)/(1-r)
S₁₀ = 1500(1 - 0.6¹⁰)/(1 - 0.6)
= 1500 × 0.9939/0.4
= 3,727.125 m
The 3 outside angles of a triangle need to equal 360 degrees.
To find X, subtract the 2 outside angles shown from 360.
X = 360 - 130 - 134 = 96
The answer is 96
The question is incomplete. The complete question is :
A local movie theater is trying to find the best price at which to sell popcorn To reach its goal of making at least 550,000 from popcorn sales this year, the theater decided to hire a consulting firm to analyze its business The firm determined that the best case scenario for the theater's revenue generated from popcorn sales, while meeting its revenue goals, is given by this system of inequalities, where r represents the revenue in tens of thousands of dollars and p represents the sale price of popcorn in dollars
and r ≥ 5 solutions Complete the statement( a viable solution, both a viable and a nomlable solution). The point (4,6) a nonviable solution The point (6,5) mola bouton of this system of this system.
Solution :
Total amount to be targeted by selling of popcorns in the movie theatre is 550,000.
A viable solution is one which has a definite meaning or definite solution to the question in context whereas a non viable solution does not have a definite relevant solution to the question.
In the context,
The point (4,6) is a non viable solution as it does not satisfy 1st inequality and only satisfies the second inequality.
The point (6,5) is a viable solution as it satisfies both the inequalities.