Step 1: Simplify both sides of the equation.<span><span><span>x2</span>−7</span>=9</span><span>Simplify: (Show steps)</span><span><span><span><span>12</span>x</span>−7</span>=9</span>Step 2: Add 7 to both sides.<span><span><span><span><span>12</span>x</span>−7</span>+7</span>=<span>9+7</span></span><span><span><span>12</span>x</span>=16</span>Step 3: Multiply both sides by 2.<span><span>2*<span>(<span><span>12</span>x</span>)</span></span>=<span><span>(2)</span>*<span>(16)</span></span></span><span>x=32</span><span>
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Answer:
10
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Explanation:
10 is closer to 14 than 20 and 14 is between 10 and 20, so you can only compare between 10 and 20.
Answer:
Second Graph
Step-by-step explanation:
Given the linear inequality, y > -x - 3, an easier way of determining its graph is through a test point.
A test point is an ordered pair that is not on the actual line of the graph. The point of origin, (0, 0) is often used for this purpose.
Substitute the values of (0, 0) into the linear inequality to find out whether it satisfies the given inequality statement:
y > -x - 3
0 > - (0) - 3
0 > - 0 - 3
0 > -3 (True statement). Therefore, the shaded region must contain the test point since it is one of the solutions to the given linear inequality.
Hence, the correct answer is the second graph.
Answer:
He cuts off a section representing a percent of the current area so that the remaining area represents the next term in the pattern, rounded to nearest whole centimeter. The area after each cut is shown on the graph.
Answer:
x ≤ 2
Step-by-step explanation:
-6x - 7 ≥ -19
Add 7 to both sides: -6x ≥ -12
Divide both sides by 6: -x ≥ -2
Divide both sides by -1: x ≤ 2
When you divide by a negative, you have to switch the sign around (hence why I chose to do this in separate steps, so it's clearer)
