Answer:
Graph has been shown in the attached file.
Step-by-step explanation:
We have been given the system of equations
Both the equation represents a straight lines. We can find the x and y intercepts of these lines to graph.
The intercept form of a line is given by
Here a is the x - intercept and b is the y-intercept.
Divide both sides of the equation (1) by 16
Hence, x-intercept = 4 and the point is (4,0)
y-intercept = 4 and the point is (0,4)
Similarly, for the second line
Divide both sides of the equation (2) by -6
x-intercept = -6 and the point is (-6,0)
y-intercept = -1 and the point is (0,-1)
We'll plot these points in the xy- plane and then join to get the graph of these lines.
Answer:
<em>t ≥ -12 </em>
Step-by-step explanation:
4 ≥ -t/3 Original Equation
4 <em>(3</em>) ≥ -t/3 <em>(3) </em>Cancel out the division
12 ≥ -t
12 <em>(-1)</em> ≥ -t<em> (-1) </em>Canceling Negative on the variable, Flipping over Inequality Sign
<em>t ≥ -12 </em>
Yes! That is correct!
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Answer:
<h2>(0,1) and (2,5).</h2>
Step-by-step explanation:
The graph of the inequality is attached.
Remember, a solution of an inequality is a point on the shaded region. Also, it must satisfy the inequality expression
From the graph we know the possible answers are (0, 1) and (2, 5), let's prove it.
<h3>For (0, 1):</h3>
Which is true, so (0, 1) is solution.
<h3>For (2, 5):</h3>
Which is true, so (2, 5) is solution.
Therefore, the solutions are (0,1) and (2,5).
Answer:
x = - 1
Step-by-step explanation:
(8x + 12) = 3 ( multiply both sides by 4 to clear the fraction )
3(8x + 12) = 12 ( divide both sides by 3 )
8x + 12 = 4 ( subtract 12 from both sides )
8x = - 8 ( divide both sides by 8 )
x = - 1
