Answer:
x< -8.125
Step-by-step explanation:
7(x+4) < 2(x-5) -3(x+9)
distribute 7, 2, -3 to the parentheses to the right
7x+28<2x-10-3x-27
add like terms
7x+28<x-37
add x to 7x and subtract -28 to -37
8x<-65
divide both sides by 8
x<-8.125 or (-65/8)
Answer:
-3x⁴ - 9x³ + 15x² = -3x² (x² + 3x -5)
10x³ -35x² + 6x - 21 = (2x - 7) (5x² + 3)
Step-by-step explanation:
-3x⁴ - 9x³ + 15x² = -3x² (x² + 3x -5)
10x³ -35x² + 6x - 21 = (2x - 7) (5x² + 3)
Answer: Independent variable = c
Dependent variable = v
Step-by-step explanation:
- The independent variable does not depend on any other variable.
- Dependent variable dependent on another variable.
Given variables:
c = the number of Nora's coworkers who attend the picnic
v = the number of veggie burgers
Here the number of burgers required is dependent on the number of Nora's coworkers who attend the picnic.
Therfeore, Independent variable = c
Dependent variable = v
Sounds as tho' all three lines are parallel. Is that correct?
If so, all three lines have the same slope!
What is the slope of <span>5y=2x-20 ? Solving for y, y = (2/5)x - 4
</span>
The slope is (2/5).
Now find the equation of the line with slope (2/5) that passes thru (10,-8).
It is y - [-8] = (2/5)(x - 10).
We can simplify this, with the result y + 8 = (2/5)x - 4. This, in turn, can be simplified to y + 8 = 2x/5 - 4, or y = 2x/5 - 12. Mult. all terms by 5 to eliminate the fraction:
5y = 2x - 60
Note how this has the exact same form as the given 5y = 2x - 20, EXCEPT that the constant at the end is different.
5y = 2x - 60 and 5y = 2x - 20 are parallel lines with the same slope but different y-intercepts.
