The first question answer is 21*10^7
The second question answer is 5*10^2
Answer:
1. x = ±9
2.
3. 12 and -12.
4. Antoine is incorrect. There exists two solutions x=5 and x= -5.
Step-by-step explanation:
According to the questions,
Problem 1.
i.e.
i.e. x = ±9.
Problem 2.
i.e.
i.e.
i.e.
Problem 3. [tex]f(x)=x^{2}-144[tex]
To find the roots, we take, [tex]x^{2}-144=0[tex] i.e. [tex]x^{2}=144[tex] i.e. x = ±12.
Thus, the options are 12 and -12.
Problem 4. We have [tex]f(x)=x^{2}+25[tex]
For the roots, we take, [tex]x^{2}+25=0[tex] i.e. [tex]x^{2}=25[tex] i.e. x = ±5.
Thus, Antoine is not correct and two solutions namely x=5 and x= -5 exists.
Answer:
1 5/36
Step-by-step explanation:
need a common denominator which would be 36
to get from 9 to 36 you multiply by 4 so 5 would be multiplied by 4 to get the fraction 20/36
do the same with 7/12 12x3 is 36 and 7x3 is 21 so 21/36
then add 20+21=41
put over 36 41/36
Find if you can lower it which you can:
41 is bigger than 36 by 5 so your ending fraction would be 1 and 5/36 because 5 and 36 don't have a common factor.
I'm gonna say no. Im not 100% sure.
Answer:
y = -x - 2
Step-by-step explanation:
y-3=-1(x+5)
Expand.
y - 3 = -1x - 5
Add 3 on both parts.
y - 3 + 3 = -1x - 5 + 3
y = -1x - 2