Answer: The correct option is c
Step-by-step explanation:
From the graph shown in the given figure, we need to find the equation of the line. We will use the slope intercept equation to get the equation if the line.
Formula for slope intercept equation is
y = mx + c
where m is the slope and c is the intercept.
Slope, m = (change in value of y) / (change in value of x)
Slope = (y2 -y1) / (x2 -x2)
From the graph,
y2 = 0, y1 = 2
x2 = 2, x1 = 0
Slope, m= (0-2) / (2-0) = -2/2 = -1
Intercept from the graph is the point at which the line cuts the y axis an it is 2
So the equation is
y = -x + 2
From the graph,
The upper region was shaded( which means the lower region satisfies the equation) and the line of the equation is broken. So the equation is y lesser than -x + 2
The correct option is c
Answer:
x = 20
Step-by-step explanation:
hmu for more information
Answer:
Here is the process I did:
2(6x+4)-6+2x=3(4x+3)+1
Step 1: Distribute the 2 to the numbers in the parentheses (6x +4) on the left side of the equation
6x(2)+4(2)-6+2x=3(4x+3)+1
12x+8-6+2x=3(4x+3)+1
Step 2: On the left side of the equation combine like terms
x's go with x's (12x and 2x):
(12x + 2x)+8-6=3(4x+3)+1
14x+8-6=3(4x+3)+1
normal numbers go with normal numbers ( 8 and -6):
14x+(8+(-6))=3(4x+3)+1
14x+2=3(4x+3)+1
Step 3: Distribute the 3 to the numbers in the parentheses (4x+3) on the right side of the equation
14x+2=4x(3) +3(3) + 1
14x+2=12x + 9 + 1
Step 4: On the right side of the equation combine like terms
normal numbers go with normal numbers ( 9 and 1):
14x+2=12x + (9 + 1)
14x+2=12x + 10
Step 5: Bring 2 from the left side to the right by subtracting it to both sides
14x+(2-2)=12x + (10-2)
14x = 12x + 8
Step 6: Bring 12x from the right side to the left by subtracting it to both sides
(14x - 12x) = (12x - 12x) + 8
2x = 8
Step 7: Isolate x by dividing 2 to both sides
x = 4
Hope this helped!
Answer:
x = 25
Step-by-step explanation:
Given
0.2(x + 5) + 1 = 7 ( subtract 1 from both sides )
0.2(x + 5) = 6 ( divide both sides by 0.2 )
x + 5 = 30 ( subtract 5 from both sides )
x = 25