Answer:
-∞ ; x = 3
Step-by-step explanation:
The graph tends toward -∞ as x approaches 3 from the left. Thus there is a vertical asymptote at x=3, the value of x that makes the denominator zero.
Answer:
B:31.5
Step-by-step explanation:
Find areas of both rectangles by multiplying the 2 given values (12 & 15)
Take the sides parallel to the triangles non-hypotenuse sides (3 & 3)
Take both values and add them over 2
Receive the answer 4.5
Add that to the rectangle values for an answer of 31.5
Hope this helps
Have a good day
Answer:
(3,6)
Step-by-step explanation:
2x-3y = -12
x+y=9. Solve for either y or x
-x. -x
y = -x + 9. Substitute this for the y
2x-3(-x+9)= -12
2x +3x-27 = -12. Add like terms
5x -27 = -12
+27. +27. Inverse operations
5x = 15
÷5. ÷5
x = 3
x + y = 9
3 + y = 9. Substitute 3 for x
-3. -3. Inverse operations
y = 6
Answer:
Step-by-step explanation:
g(m) = 0
2-4m=0
2=4m
2/4=m
1/2=m------(1
p(1/2)= -3(1/2) - { 2(1/2) + (5- 1/2) } +7
= -3/2 - { 1 + 9/2} +7
= -3/2 - ( 11/2) +7
=-14/2 +7
= -14 + 14 /2
= 0/2
= 0...
since p(m)= 0,
we can say that g(m) is a factor of p(m)
hence, it has been simplified correctly...
Answer:
(a) Expanded form:

(b) The value of the expression: -21
Step-by-step explanation:
Given

Solving (a): The expanded form:
This means that we substitute the values of i from 1 to 4 in the above expression.
So, the expression becomes:

Solving (b): The value of the expression
To do this, we simply substitute the given values of X1, X2....... in the expression.
This gives:
So, the expression becomes:

Simplify each bracket



<em>Hence, the result of the expression is -21</em>