9514 1404 393
Answer:
x ∈ (-∞, 9) U (-1, ∞)
Step-by-step explanation:
Get the absolute value by itself. Do that by multiplying by 4.
|3x +15| > 12
This resolves to two cases:
<u>3x +15 > 12</u>
x +5 > 4 . . . . divide by 3
x > -1 . . . . . . .subtract 5
<u>-(3x +15) > 12</u>
x +5 < -4 . . . . divide by -3
x < -9 . . . . . . . subtract 5
Then the solution in interval notation is ...
x ∈ (-∞, 9) U (-1, ∞)
a bus took 30
minutes-------------------------- to cover a distance of 20 city blocks<span>
X
minutes------------------------------------------------one (1) city block</span>
I apply a rule of three
<span>
X=(1)*(30)/20=1.5 </span>
Therefore
the bus moved
1.5 minutes/block city
<span> </span>
1^6 is just 1 so 1x=2, you can just take away the one because it is a given that if there is an x there is a 1, so the answer is x=2
They need to babysit for 10 hours to have same money each day.
Step-by-step explanation:
On Thursday;
Charges = $3 per hour
Initial fee = $40
let x be the number of hours.
T(x) = 3x+40
On Friday;
Charges = $4 per hour
Initial fee = $30
F(x)= 4x+30
The cost will be same when;
T(x) = F(x)
They need to babysit for 10 hours to have same money each day.
Keywords: functions, addition
Learn more about functions at:
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You should must check for an extraneous solution when the variable appears both inside and outside the absolute value expression
<h3>
What is an extraneous solution?</h3>
An extraneous solution is a solution that in obtained after completely solving an equation but it does not work in the original given equation.
You should must check for an extraneous solution when the variable appears both inside and outside the absolute value expression (Option D).
Learn more about extraneous solution: brainly.com/question/14054707
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