Answer:
80 cm by 60 cm
Step-by-step explanation:
To solve this we know that the scale is 1 In: 40 Cm since our painting is already in inches all we have to do is multiply the inches by 40, so 2 inches * 40 is 80 and 1.5 * 40 is 60 and now all we do is turn the units into centimeters and we are done!
y ≥ x - 2 and y ≤ 2x - 3
y ≥ 3x - 2 and y ≤ x + 3
y ≤ 3x - 2 and y ≥ x + 3
The graph shows the solution for the inequalities y ≥ 3x - 2 and y ≤ x + 3.
The inequalities can be found by substituting the coordinates of a point within the shaded area in both inequalities and seeing if they are satisfied.
The options are given.
Let us take the options one by one:
Now, substitute (0,0) in the inequalities:
0 ≥ 2 and 0 ≤ 3
This is not true.
Now, substitute (0,0) in the inequalities:
0 ≥ - 2 and 0 ≤ - 3
This is not true.
Now, substitute (0,0) in the inequalities:
0 ≥ - 2 and 0 ≤ 3
This is true.
Now, substitute (0,0) in the inequalities:
0 ≥ - 2 and 0 ≤ - 3
This is not true.
Therefore, we have found that the inequalities are y ≥ 3x - 2 and y ≤ x + 3. The correct answer is option C.
Learn more about inequalities here: brainly.com/question/24372553
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Answer:
and
Step-by-step explanation:
Blue:
The inequality for the blue line is
Yellow
The inequality for the yellow line is
This means that the correct answer is the third option,
and
b = −k + 8
Which is a correct step to find k and b?
Write the points where the graphs of the equations intersect the x-axis. Write the points where the graphs of the equations intersect the y-axis. Add the equations to eliminate k. Multiply the equations to eliminate b.
Answer:
Add the equations to eliminate k.
Step-by-step explanation:
When we add the equations we get
next we put into and solve for k:
this way we have found k and b; therefore, adding the equations to eliminate k is a correct step for finding k and b.
Let us now look at other choices we were given.
Write the points where the graphs of the equations intersect the x axis.
These points may be the solutions to each equation, but they are not the solutions to the system of these two equations.
Write the points where the graphs of the equations intersect the y axis.
Same thing goes here: these points may be the solutions to each equation, but they are not the solutions to the system of these two equations.
Multiply the equations to eliminate b.
Multiplying the equations doesn't eliminate b, but rather it complicates the matter by producing a quadratic equation—we don't want to go down that road!