X² <span>+ 11x + 7
because 7 is a prime number, this doesn't factor prettily. you'll want to use the quadratic formula; if you aren't familiar with it, i'd either research it or look it up in your textbook, because it's clunky and not easily understood in this format:
(-b </span>± √((b)² - 4ac))/(2a)
in your equation x² + 11x + 7 ... a = 1, b = 11, and c = 7. what you do is you take the coefficients of every term, then plug it into your equation:
(-11 ± √((11)² - 4(1)(7))/(2(1))
not pretty, i know. but, regardless, you can simplify it:
(-11 ± √((11)² - 4(1)(7))/(2(1))
(-11 ± √(121 - 28))/2
(-11 ± √93)/2
and you can't simplify it further. -11 isn't divisible by 2, and 93 doesn't have a perfect square that you can take out from beneath the radical. the ± plus/minus symbol indicates that you have 2 answers, so you can write them out separately:
(x - (-11 - √93)/2) and (x + (-11 - √93)/2)
they look confusing, but those are your two factors. they can be simplified just slightly by changing the signs in the middle due to the -11:
(x + (11 + √93)/2) (x - (11 - √93)/2)
and how these would read, just in case the formatting is too confusing for you: x plus the fraction 11 + root 93 divided by 2. the 11s and root 93s are your numerator, 2s are your denominator.
Answer:
This statement makes sense because this would mean that a slice of pizza and a soda costs him about $49 a day
Step-by-step explanation:
Given
The total spent on a slice of pizza and a soda is:
per year
Required
Which of the options is true:
First, we calculate the daily amount spent on a slice of pizza and a soda.
Assume that the yearly cost is: $18000
The daily cost is:
This means that he spends about $49 daily
Answer:
2:1
Step-by-step explanation:
Answer:
One avocado costs $1 and one tomato costs $0.50
Step-by-step explanation:
Set up a system of equations where t is the number of tomatoes and a is the number of avocados:
4t + 8a = 10
6t + 14a = 17
Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2:
12t + 24a = 30
-12t - 28a = -34
Add them together and solve for a:
-4a = -4
a = 1
Plug in 1 as a into one of the equations and solve for t:
4t + 8a = 10
4t + 8(1) = 10
4t + 8 = 10
4t = 2
t = 0.5
So, one avocado costs $1 and one tomato costs $0.50
$17 (it's just the market price - the marginal cost)
