Answer:
- 11 or - 15
Step-by-step explanation:
Factorise
x² - 13x + 42
Consider the factors of the constant term (+ 42) which sum to give the coefficient of the x- term (- 13)
The factors are - 6 and - 7, since
- 6 × - 7 = + 42 and - 6 - 7 = - 13, thus
x² - 13x + 42 = (x - 6)(x - 7)
compare to (x + A)(x + B)
A = - 6, B = - 7
thus 3A - B = 3(- 6) - (- 7) = - 18 + 7 = - 11
The factors may also be expressed as (x - 7)(x - 6)
with A = - 7 and B = - 6, then
3A - B = 3(- 7) - (- 6) = - 21 + 6 = - 15
Answer: Choice A
s = 10k + 6(5)
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Reason:
k = number of adults
10k = cost for all the adults (at $10 per ticket)
5 = number of children
6(5) = cost for all the children ($6 per ticket)
10k + 6(5) = total cost for all adults and children
s = total cost in dollars
s = 10k+6(5)
Answer:
x = 98 degrees
Step-by-step explanation:
The sum of angles in a pentagon is 540 degrees. You can find this with the formula where n is the number of sides: 180(n-2). This formula will find the angle sum of a polygon. Now, since you know the value of every other angle except X, we can construct the equation 112+100+113+117+x=540
Solving this equation yields x=98 degrees
Answer:
9/20
Step-by-step explanation:
450/1000
this is not the answer, because it is not simplified
so here we have to find common factor and simplifying
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450/1000 is simplified to 9/20, and it can no longer be simplified.
