Answer:
Step-by-step explanation:
The diagram shows lines passing through the points of two equations.
We will determine the points through which the lines pass through on the graphs.
Looking at the line on the right hand side of the graph, the slope is
(y2-y1)/x(2-x1) where
y2= 0, y1 = 4
x2 = 3, x1=0
Slope, m = (0-4)/3-0
Slope = -4/3
Recall the equation of a straight line is y = mx + c
Where c is the intercept.
So the equation is y
y = -4x/3 + 4
Looking at the line on the left hand side of the graph, the slope is
(y2-y1)/x(2-x1) where
y2= 0, y1 = 2
x2 = -1, x1 =0
Slope, m = (0-2)/-1-0
Slope = -2/-1 = 2
Applying equation of a straight line is y = mx + c
The equation
y = 2x + 2
So the equations are
-4x/3 + 4. If x lesser than or equal 0
2x + 2. If x greater than 0
Answer:
x = -4
Step-by-step explanation:
Subtract 17 on both sides to get 6x = -24 then divide 6 to both sides to get your answer of x = -4
We have that
<span>the point (7, 1)
case </span><span>A.) y = 5x + 4
if the point </span>(7, 1) lie to the line
so
for x=7 the value of y must be 1
y=5*7+4------> y=39
39 is not 1---------> the point does not belong to the line
case <span>B.) y = -x + 8
</span>if the point (7, 1) lie to the line
so
for x=7 the value of y must be 1
y=-7+8------> y=1--------> the point belongs to the line
case <span>C.) y = x - 10
</span>if the point (7, 1) lie to the line
so
for x=7 the value of y must be 1
y=7-10------> y=-3
-3 is not 1---------> the point does not belong to the line
case <span>D.) y = -4x + 3
</span>if the point (7, 1) lie to the line
so
for x=7 the value of y must be 1
y=-4*7+3------> y=-25
-25 is not 1---------> the point does not belong to the line
the answer is the option
B.) y = -x + 8
Answer:
Step-by-step explanation:
Given
Translation = 3 units down
Vertical stretch of 2 to give g(x)
Required
3 units down translation
A function is translated down as follows:
Where k is the number of units.
So:
Vertical stretch of 2
A function is vertically stretched as follows;
Where a is the units stretched.
In this case:
So:
Answer:
2 or 8
Step-by-step explanation:
because 2x2=4 and 4x2=8
