Answer:
C
Co efficient means the number or value beside preventing the variable from standing alone
Answer:
10 and 15
Step-by-step explanation:
Let 'x' and 'y' are the numbers we need to find.
x + y = 25 (two numbers whose sum is 25)
(1/x) + (1/y) = 1/6 (the sum of whose reciprocals is 1/6)
The solutions of the this system of equations are the numbers we need to find.
x = 25 - y
1/(25 - y) + 1/y = 1/6 multiply both sides by 6(25-y)y
6y + 6(25-y) = (25-y)y
6y + 150 - 6y = 25y - (y^2)
y^2 - 25y + 150 = 0 quadratic equation has 2 solutions
y1 = 15
y2 = 10
Thus we have
:
First solution: for y = 15, x = 25 - 15 = 10
Second solution: for y = 10, x = 25 - 10 = 15
The first and the second solution are in fact the same one solution we are looking for: the two numbers are 10 and 15 (since the combination 10 and 15 is the same as 15 and 10).
First find the area of the triangle,
(8.4 x 24)/2 = 100.8
Then find the area of the parallelogram,
24 x 12 = 288
Then add both,
100.8+288 = 388.8 yd^2
Answer:
x= no solution
Step-by-step explanation:
4x-2+x=-2+2x
We first add 4x+x on the left side.
5x-2=2+2x
We then add 2 to both sides.
5x=2x
The answer is no solution because we got no answer out of the equation.
Answer:
f(x) = |x + 1| – 3
Step-by-step explanation:
The given graph is a transformed absolute value function.
The parent function is
The graph is obtained by shifting, g(x) from the origin (0,0) to (-1,-3).
The transformed function is of the form:
Where (h,k) is the vertex.
We substitute h=-1 and k=-3 to get:
When we simplify we get:
