Answer:
Step-by-step explanation:
https://useruploads.socratic.org/LwPzhuTTlCSoRKwdIGPB_function.jpeg
Those lines on the sides of x in the equation mean "absolute value". Which is a complicated way of saying "this number will never be negative". So if x = 2 then absolute value x= 2 but if x = -2 then absolute value x still is positive 2. Because of those brackets/lines (whatever they're called). So if you're given x=2 then it's simply saying y=4(2)-1 which is y=7
Answer:
There were 343 children and 197 adults.
Step-by-step explanation:
In order to solve this problem, you can use an equation after identifying the important information, like that there were 540 people, the cost for a child is $1.25, the cost for an adult is $2.00, and admission fees totaled $822.75:
where c = number of children, and a = number of adults,
c + a = 540
1.25c + 2a = 822.75
Now, you need to solve this system of equations by isolating one of the variables. I'll isolate c by multiplying the first equation by 2 since it's easier:
2c + 2a = 1080
<u> - 1.25c + 2a = 822.75</u>
= .75c = 257.25
Now, you can multiply both sides by 4/3 to find c:
c = 257.25 × 4 ÷ 3
c = 343
So there were 343 children. Now you can find the number of adults by substituting 343 for c in the first equation:
where c + a = 540 and c = 343,
343 + a = 540
a = 197
So, there were 197 adults.
Answer:
<span>533</span>
Explanation:
We first let <span>0.<span><span>¯¯¯¯</span>15</span></span> (15 being repeated) be x.
Since x has 2 decimal places recurring, we multiply it by <span>100.</span>
<span> x=0.151515....</span>
<span>100x=15.151515...</span>
Next, we subtract them.
<span><span>100x−x=15.151515−0.151515</span><span>99x=15</span></span>
Lastly, we divide both sides by 99 to get x as a fraction.
<span><span>x=<span>1599</span></span><span>=<span><span>533</span></span></span></span>
Answer:
5x
Step-by-step explanation:
If the blank were to be occupied with 5x there would be no solutions
Observe...
5x - 8 = 5x + 2
* subtract 5x from each side *
5x - 5x cancels out
5x - 5x cancels out
we're left with -8 = 2
which is not true
Hence if the blank = 5x the equation will have no solution