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Shaynele
20.07.2019 •
Mathematics
Isaved $100 to spend over the summer. i decide to budget $20.00 to spend each week, how can i write an equation that represents this situation
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Ответ:
x is the number of weeks
100 is the amount you have
20 is your budget
Ответ:
Step-by-step explanation:
3x+7)(5x-2)=61
We move all terms to the left:
(3x+7)(5x-2)-(61)=0
We multiply parentheses ..
(+15x^2-6x+35x-14)-61=0
We get rid of parentheses
15x^2-6x+35x-14-61=0
We add all the numbers together, and all the variables
15x^2+29x-75=0
a = 15; b = 29; c = -75;
Δ = b2-4ac
Δ = 292-4·15·(-75)
Δ = 5341
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
x1=−b−Δ√2ax2=−b+Δ√2a
The end solution:
Δ−−√=5341−−−−√=49∗109−−−−−−−√=49−−√∗109−−−√=7109−−−√
x1=−b−Δ√2a=−(29)−7109√2∗15=−29−7109√30
x2=−b+Δ√2a=−(29)+7109√2∗15=−29+7109√30