Answer:
a
Step-by-step explanation:
Given
2| x - 3 | + 5 = 17 ( subtract 5 from both sides )
2| x - 3 | = 12 ( divide both sides by 2 )
| x - 3 | = 6
The absolute value function always returns a positive value but the expression inside can be positive or negative, that is
x - 3 = 6 OR -( x - 3) = 6
x - 3 = 6 ( add 3 to both sides )
x = 9
OR
-( x - 3) = 6 ← distribute left side
- x + 3 = 6 ( subtract 3 from both sides )
- x = 3 ( multiply both sides by - 1 )
x = - 3
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = 9 → 2|9 - 3| + 5 = 2|6| + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True
x = - 3 → 2|- 3 - 3| + 5 = 2| - 6 | + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True
Hence x = 9 or x = - 3 are the solutions → a
Answer:
Quadratic.
Step-by-step explanation:
Both linear and exponential equations are monotone increasing or monotone decreasing functions.
This means that, as the input increases, the output will only increase or only decrease, but never both.
Here for our data, we can see that first we have:
x = -8
y = 13
Then x increases to x = -6, and y decreases to y = 9
Then x increases to x = -4 and y increases to y = 13
Then this function is not monotone increasing nor monotone decreasing, so the data can not describe a linear nor an exponential function.
Then the correct option is quadratic.
<span>
Answer: 0.533</span>
Explanation: Note that
Let
=
z-score for I.
=
z-score for x.
The formula for z-score is given by
So,
Based on inequality in (1),
So,
Since
and
are z-scores and the level of nitrogen oxides are normally distributed, using normal distribution calculator (or table),
Answer:
No solution
Step-by-step explanation:
This is just a simple system of equations.
y=-1/4x+2
8y+2x=-40
Get the same variables onto their corresponding sides, so it will look like this:
y=-1/4x+2
8y=-2x-40
Now here, you have to be careful, because to solve for the system of equations, you need to make sure you are multiplying the equation proportionately.
8y=-2x+16
8y=-2x+40.
But here you see that they share the same variables in a similar format, but their values are supposed to be different, meaning that this equation is a false claim. So you would respond to the question as "no solution.
Answer:
345 in total. If there are already 121 in: 345-121=224 pounds.
