Answer:
fg(2) = 9 means that f(g(2)) = 9
We know that g(2) = 6
So f(6) = 9 which means that
6a - b = 9 (note 1)
And we know that g(f(1/2)) = 2
And we know that f(1/2) = 1/2(a) - b
So g(1/2(a) - b) = 2
Meaning that 1/2(a) - b + 4 = 2
So 1/2(a) - b = - 2 (note 2)
Using note 1 and 2 we can solve the equation
11/2(a) = 11 so a = 2 and b = 3
The ordered pairs which satisfy the equation are (0,2) , (7,19) (-5,17) .
Finding the values of the variables that result in equality is the first step in solving a variable equation.
- The values of the unknown variables that fulfil the equality are the equation's solutions, also known as the variables for which the equation must be solved.
- The two forms of equations are identity equations and conditional equations.
- All feasible values of the variables share the same identity. Only specific instances where the values of the variables coincide can result in the truth of a conditional equation.
- Two phrases are combined into one by using the equals sign ("="). The "left hand side" and "right hand side" of the equation refer to the expressions on each side of the equals sign. It's typical.
At x = 0 the value of y from the equation is :
y = 2
At x = 7 , y =-19
at y=17 , x= -5
Therefore the ordered pairs are :(0,2) , (7,19) (-5,17) .
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Answer:
Explanation:
The car travel 10ft north then 15ft due west. In order to find the distance from starting point. We need to find the hypotenuse where the distance to north and west are the adjacent side.
We can use Pythagorean’s theorem according to that:
Let c be the distance from starting point.
And a and b be the distance travel to north and west.
a^2 + b^2 = c^2
10^2 + 15^2 = c^2
100 + 225 = c^2
325 = c^2
Sqrt(325) = c
5sqrt(13) = c
Therefore, the distance from starting point is 5sqrt(13) ft
Answer:
A. 26i
B. 36i^2 + 60x + 25
C. 64x^2 + 112x + 49
Step-by-step explanation:
To get answer in question A, B, and C, use FOIL method
FOIL Method:
(pretend x is i)
Question A:
Question B:
Question C
<h3>
Answer: 434,500</h3>
You may need to erase the comma
To get this answer, move the decimal point to the right 5 spaces to go from 4.345 to 434,500
If the exponent was -5, then you would move five spaces to the left.
