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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The current depth of the hole is at least 20 feet below ground level.
Inequality is an expression that shows the non equal comparison of numbers and variables.
Let d represent the current depth of the hole.
To be at least 40 feet below ground level, he need more than 2 times its current depth.
2d < -40
d < -20
Hence the current depth of the hole is at least 20 feet below ground level.
Find out more on inequalities at: brainly.com/question/11613554
The total cost is $41.85
Amount Saved = 45 x 7 / 100
Amount Saved = 315 / 100
Amount Saved = $3.15 (answer).
In other words, a 7% discount for a item with original price of $45 is equal to $3.15 (Amount Saved).
Note that to find the amount saved, just multiply it by the percentage and divide by 100.
Answer:
81.39% increase.
Step-by-step explanation:
Given: There is change in number from 43 to 78.
First lets find the amount of change or difference in number.
Difference in number= 
∴ Difference in number show that there is an increase of 35 number.
Now, finding the percent change in the number.
Percent= 
⇒ Percent change in number= 
∴ 81.39% increase in the number.
The intervals of the function on the graph are:
- Domain = (-∝, ∝)
- Range = (-∝, 2]
- Increases (-∝, 3]
- Decreases [3, ∝)
<h3>The key features of the function?</h3>
The function is given as:
f(x) = -2(x-3)² + 2
See attachment for the graph.
From the graph, we have;
Domain = (-∝, ∝)
Because it takes all real values as its input
Range = (-∝, 2]
Because it has a vertex of (3, 2) and the vertex is a maximum
Also, it increases on the interval (-∝, 3] and decreases on the interval [3, ∝)
Read more about function interval at:
brainly.com/question/27831985
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