Answer:44
Step-by-step explanation:
0.2x+(-0.9)+1.7==9.6
0.2x+0.8=9.6
Subtract 0.8 from both sides
0.2x+0.8-0.8=9.6-0.8
0.2x=8.8
Divide both sides by 0.2
0.2x ➗ 0.2=8.8 ➗ 0.2
x=44
Answer:
Option D.
x can take values from 15downwards. It can't be 16 because the expression clearly states that x is less than 16. So x can take value from any number below 16.
Answer:
In order to out a fraction in lowest terms, you must divide by the Greatest Common Factor, or GCM, of the numerator and denominator in the fraction. Let's say we have the fraction 25/100. We know that the greastest common factor of 25 and 100 is 25, as 25 ÷ 25 = 1 and 100 ÷ 25 = 4 so 25/100 in lowest terms is 1/4:
25 25 1
___ ÷ ___ = ___
100 25 4
If the GCM of a fraction equals 1, the fraction is simplified. Because the only common factor of 1 and 4 is 1, we know this fraction is simplified.
1 1 1
__ ÷ ___ = ___
4 1 4
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We are given a data set and we are asked to write the model that fits the data. We notice that for each step of "x" the values of "y" increase by the same amount. That means that the data follow a linear model, therefore, we will use:

Where:

To determine the slope "m" we will use the following formula:

Where:

Are data points. From the table we choose the following points:

Now, we substitute in the equation for the slope:

Solving the operations:

Therefore, the slope is -7. Substituting in the equation of the line we get:

Now, we substitute one of the points to get the value of "b". We will substitute the value x = -8, y = 47, we get:

Solving the product:

Now we subtract 56 from both sides:

Now, we substitute the value of "b" in the equation of the line:

And thus we get the line equation.