Answer:
A) B is greater
B) when C = 21, A = 5 and B = 15
C) A must be 0, 5, or 12 for C to be greater than B
Step-by-step explanation:
A) when a = -3, c = -20 and b = 4(-3)-5 so B = -17
B) when c = 21, a = 5 and b = 4(5)-5 so B = 15
C) C is greater than B when a = 0, 5, and 12
when a = 0, b = 4(0)-5 or -5
when a = 5, b = 4(5)-5 or 15
when a = 12, b = 4(12)-5 or 43
Answer:
We're looking for a,b such that
\dfrac{9x-20}{(x+6)^2}=\dfrac a{x+6}+\dfrac b{(x+6)^2}
Step-by-step explanation:
<span>Simplifying
0x + 7 + 5x = 2x + 30 + 40
Anything times zero is zero.
0x + 7 + 5x = 2x + 30 + 40
Combine like terms: 0 + 7 = 7
7 + 5x = 2x + 30 + 40
Reorder the terms:
7 + 5x = 30 + 40 + 2x
Combine like terms: 30 + 40 = 70
7 + 5x = 70 + 2x
Solving
7 + 5x = 70 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
7 + 5x + -2x = 70 + 2x + -2x
Combine like terms: 5x + -2x = 3x
7 + 3x = 70 + 2x + -2x
Combine like terms: 2x + -2x = 0
7 + 3x = 70 + 0
7 + 3x = 70
Add '-7' to each side of the equation.
7 + -7 + 3x = 70 + -7
Combine like terms: 7 + -7 = 0
0 + 3x = 70 + -7
3x = 70 + -7
Combine like terms: 70 + -7 = 63
3x = 63
Divide each side by '3'.
x = 21
Simplifying
x = 21</span>
Answer:
Let x represents the number of pants and y represents the number of shirts.
As per the statement:
Since, a clothing store are selling pants for $8.99 and shirts for $3.99
then;
total number of Pants cost is, $8.99x and total number of Shirt cost is, $3.99
Also, it is given that: You can spend as much as $60 and want to buy at least two pairs of pants.
then, we have the equation of inequality;
;......[1] where x, y are natural number.
x-intercept:
Substitute the value y= 0 in [1] and solve for x;


Simplify:

Since, x is in natural number;

Similarly.
For y-intercept:
Substitute the value x= 0 in [1] and solve for x;


Simplify:


Therefore, we have
;
and 
Answer:
-2.5
Step-by-step explanation:
The slope of a line can be found by dividing the rise over the run between two points. The rise is the difference between the y-values, and the run is the difference between the x-values. For both, the value with the greater x-value comes first as you are seeing how much it has changed from the first value to the the other.
Let's use the first two points to find the slope: (0,9), (2,4)
(2,4) has the greater x-value, so the rise between the points would be -5, as 4 - 9 = -5
The run would be 2, as 2-0 = 2.
Therefore the slope would be: -5/2 = -2.5
Hope this helped!