Identify the following equation as that of a line, a circle, an ellipse, a parabola, or a hyperbola 3y 2 - x = 0
1 answer:
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<h2>Translating Word Equations into Numerical Equations</h2>
To change words into equations, we can recognize keywords that translate into operations and/or numbers:
- <em>quotient</em> = divide
- <em>a number/the number/two numbers</em> = variables
- <em>sum</em> = add
Let the two numbers be <em>a</em> and <em>b</em>.
We're given:
- quotient of <em>a</em> and <em>b</em> is 3
⇒ - sum of <em>a</em> and <em>b</em> is 8
⇒
First, isolate <em>a</em> in the first equation and substitute it in the second equation to solve for <em>b</em>:
Therefore, one of the numbers is 2. Substitute this into one of our equations to solve for <em>a</em>:
Therefore, the other number is 6.
<h2>Answer</h2>The two numbers are 2 and 6.
Answer:
a. $27
b. $9
Step-by-step explanation:
The yearly premium on their homeowner's insurance policy is $450 for the coverage they need.
Their insurance company offers a discount of 6 percent if they install dead-bolt locks on all exterior doors.The couple can also receive a discount of 2 percent if they install smoke detectors on each floor.
a. What discount will Dave and Ellen receive if they install the dead-bolt locks?
dollars
b. What discount will Dave and Ellen receive if they install smoke detectors?
dollars