Answer:
4) x = -3 or 8
Step-by-step explanation:
We factories each algebraic expression
4) x² -5x - 24 = 0
x² - 8x + 3x - 24 = 0
(x² - 8x) + (3x - 24) = 0
x(x - 8) + 3(x - 8) = 0
(x + 3)(x - 8) = 0
x + 3 = 0, x = -3
x - 8 = 0, x = 8
x = -3 or 8
Step-by-step explanation:
a= 1/3
common ratio = -3
the 8th term is given by,


Answer:
Step-by-step explanation:
<u>Given:</u>
- Initial mass is m = 80 g.
- Half life = 10 days
- Total time = 60 days
<u>Number of half-life periods:</u>
<u>Equation for remaining sample:</u>
- s = m*(1/2)^r
- s = 80*(1/2)^6 = 80/64 = 1.25 g
Answer:
-3 is the value of the location where the line crosses the y-axis,and is commonly referred in the slope-intercept form of a line "the intercept". Now it may be your teacher expects you to answer this as the point on the plane where the y-intercept occurs, and that should be the point (0, -3). Make sure you follow your teacher's notation.
Step-by-step explanation:
Re-write the equation given in slope=intercept form by isolating the variable "y" on one side of the equation and expressing the rest in slope*x + y-intercet form:

which tells us that the slope of the line is -2 and it y-intercept is "-3".
Now, watch out because you may be asked to write the actual coordinates of the y-intercept, which are: (0, -3)
giving the x-coordinate 0 and the y-value where the line crosses the y-axis.