HOW DO YOU DO THIS? PLEASE SHOW WORK ASAP!
2 answers:
In general, you can do all of them this way.
1. Eliminate parentheses using the distributive property.
2. Collect terms.
3. Identify the variable term with the smallest (most negative) coefficient.
4. Add the opposite of everything on that side of the inequality and simplify.
5. Divide by the coefficient of the variable.
6. Add the opposite of the constant.
Using problem #5 as an example:
7x -3(4x -8) ≤ 6x +12 -9x
7x -12x +24 ≤ 6x +12 -9x . . . . . eliminate parentheses
-5x +24 ≤ -3x +12 . . . . . . . . . . . collect terms. Left side has smallest x term.
0 ≤ 5x -3x -24 +12 . . . . . . . . . . add opposite of left side
0 ≤ 2x -12 . . . . . . . . . . . . . . . . . collect terms
0 ≤ x -6 . . . . . . . . . . . . . . . . . . . divide by x-coefficient, 2
6 ≤ x . . . . . . . . . . . . . . . . . . . . . add the opposite of -6
Other answers are ...
2. m < -3/2 . . . . . . . . . . . . graphed as an open circle at -3/2 and a line to the left
3. x ≤ 11 . . . . . . . . . . . . . . . graphed as solid circle at 11 and line to the left
4. -1 ≤ x . . . . . . . . . . . . . . . graphed as solid circle at -1 and line to the right
1. Eliminate parentheses using the distributive property.
2. Collect terms.
3. Identify the variable term with the smallest (most negative) coefficient.
4. Add the opposite of everything on that side of the inequality and simplify.
5. Divide by the coefficient of the variable.
6. Add the opposite of the constant.
Using problem #5 as an example:
7x -3(4x -8) ≤ 6x +12 -9x
7x -12x +24 ≤ 6x +12 -9x . . . . . eliminate parentheses
-5x +24 ≤ -3x +12 . . . . . . . . . . . collect terms. Left side has smallest x term.
0 ≤ 5x -3x -24 +12 . . . . . . . . . . add opposite of left side
0 ≤ 2x -12 . . . . . . . . . . . . . . . . . collect terms
0 ≤ x -6 . . . . . . . . . . . . . . . . . . . divide by x-coefficient, 2
6 ≤ x . . . . . . . . . . . . . . . . . . . . . add the opposite of -6
Other answers are ...
2. m < -3/2 . . . . . . . . . . . . graphed as an open circle at -3/2 and a line to the left
3. x ≤ 11 . . . . . . . . . . . . . . . graphed as solid circle at 11 and line to the left
4. -1 ≤ x . . . . . . . . . . . . . . . graphed as solid circle at -1 and line to the right
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Answer:
Option (d) is wrong.
Step-by-step explanation:
Slope is:
- rise over run
- The rate of change of a line
- Change in y over the change in x
- <em><u>The ratio of vertical change to the horizontal change. </u></em>
It can be given by mathematically as follows :
Hence, the option which is not a description of slope is (d) "the ratio of horizontal change compared to vertical change"
Answer:
The population will reach 34,200 in February of 2146.
Step-by-step explanation:
Population in t years after 2012 is given by:
In what month and year will the population reach 34,200?
We have to find t for which P(t) = 34200. So
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that
, given by the following formulas:
In this question:
So
Then
We only take the positive value.
134 years after 2012.
.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.
So the population will reach 34,200 in February of 2146.