Answer:
-12
Step-by-step explanation:
8x - 2(6 - x)
Substitute 0 for each x
8*0 - 2(6 - 0)
Solve.
0 - 2*6
0 - 12
-12
When a line and a curve are tangent to each other, they are joined together by 1 point (x,y). So, you equate both equations either in terms of x or y. For this problem, let's equate in terms of y.
y = k - x
y = x² + 3x + 1
k - x = x² + 3x + 1
k = x² + 3x + x + 1
k = x² + 4x + 1
This would be the value of k. Since we are not given the common point, it can only be expressed in terms of x or y.
Answer:
Step-by-step explanation:
Let x be the number of hours worked by Joshua.
Shirts ironed by Joshua in an hour = 25
Number of shirts ironed by Joshua in x hours = 25x
The number of hours worked by Luke = (x + 3)hours
Shirts ironed by Luke in an hour = 35
No. of shirts ironed by Luke in x hours = 35*(x + 3) = 35x+35*3 = 35x + 105
No. of shirts ironed by Luke and Joshua = 345
25x + 35x +105 = 345
60x = 345 - 105
60x = 240
x = 240/60
x = 4 hours
The number of hours worked by Joshua = 4 hours
The number of hours worked by Luke = 4 +3 = 7 hours
Answer:
Option (3)
Step-by-step explanation:
Given functions are,
f(x) = 
g(x) = log(2x)
By using a graphing utility we can draw the graphs of the given system of equations.
Common points of the graph will be the solutions of the equations,
From the graph attached,
Solution of the functions is → (0.937, 0.273)
→ (0.9, 0.3)
Option (3) will be the answer.
Answer:
Here you go - IM NOT 100% SURE THESE ARE RIGHT
Step-by-step explanation:
1. 2 complex solutions
2. 1 complex solution
3. 1 complex solution
4. no complex solutions
