Given that the number of bridges has been modeled by the function:
<span>y=149(x+1.5)^2+489,505
To find the year in which, y=505000 we shall proceed as follows:
From:
</span>y=149(x+1.5)^2+489,505
substituting y=505000 we shall have:
505000=149(x+1.5)^2+489,505
simplifying the above we get:
0=149(x+1.5)^2-15495
expanding the above we get:
0=149x^2+447x+335.25-15495
simplifying
0=149x^2+447x-15159.8
solving the quadratic equation by quadratic formula we get:
x~8.69771 or x~-11.6977
hence we take positve number:
x~8.69771~8.7 years~9 years
thus the year in which the number will be 505000 will be:
2000+9=2009
The mistake here is that Carlos did not correctly use the distributive property (in fact, he didn't use it at all.)
14(49)
14(40 + 9)
Multiply <u>both</u> 40 and 9 by 14, then add them again.
14(40)+14(9)
560+126
686 is the correct answer.
Answer:
Step-by-step explanation:
X<= 2
Which is x is less than or equal to 2.
The distance between Durham to Birmingham is 240 miles