Given:
The equation is
To find:
The value of b.
Solution:
We have,
Subtracting both sides by 
, we get
Therefore, the value of b is 
.
4a-8=28
add 8 to both sides to start to isolate the variable (a)
-8+8 cancels each other out
28+8=36
4a=36
to completely isolate the variable divide both sides by 4
4a÷4=a
36÷4=9
a=9
Answer:-43 + 9x = 0
Step-by-step explanation:Simplifying
9x + -43 = 0
Reorder the terms:
-43 + 9x = 0
Solving
-43 + 9x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '43' to each side of the equation.
-43 + 43 + 9x = 0 + 43
Combine like terms: -43 + 43 = 0
0 + 9x = 0 + 43
9x = 0 + 43
Combine like terms: 0 + 43 = 43
9x = 43
Divide each side by '9'.
x = 4.777777778
Simplifying
x = 4.777777778
Parallel = same slope
Slope would be 1/4
Pass through (0,0)
Solution: y = 1/4x
Answer:
C. 2.
Step-by-step explanation:
The graph descends from the left so the coefficient of the leading term is negative. It is also a cubic equation with zeros of -20, about 6.5 and about 13. so we can write the equation as below. The last 2 values can only be guessed because the x axis only shows values which are multiples of 5.
f(x) = a(x + 20)(x - 6.5)(x - 13) where a is a negative constant.
(This is only an approximation).
By the Remainder theorem, when the expression is divided by (x + 10):
f(-10) = -20 so we have
-20 = a (-10 + 20)(-10-6.5)(-10 - 13)
(10)(-16.5)(-23)a = -20
a = -20 / (10)(-16.5)(-23)
a = -0.0053
When the equation is divided by (x - 10) then f(10) is the remainder so substituting we have as the remainder:
-0.0053(10+20)(10-6.5)(10 -13)
-0.0053 * 30 * 3.5 * -3
= 1.7 approximately.
Looks like the answer is 2.
