The answer is A) x=0.3
Step-by-step explanation:
Move all terms containing xx to the left side of the equation.
14x−15.4=−11.2
Move all terms not containing x to the right side of the equation.
14x=4.214x=4.2
Divide each term by 14 and simplify
x=0.3
Answer:
The answer is 17
Step-by-step explanation:
8^2+15^2=c^2
64+225=c^2
289=c^2
Square root both sides
c=17
<h3>
Answer: Choice B</h3><h3>
y = x^2 + 7x + 1</h3>
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Proof:
A quick way to confirm that choice B is the only answer is to eliminate the other non-answers.
If you plugged x = 1 into the equation for choice A, you would get
y = -x^2 + 7x + 1
y = -1^2 + 7(1) + 1
y = -1 + 7 + 1
y = 7
We get a result of 7, but we want 9 to be the actual output. So choice A is out.
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Repeat for choice C. Plug in x = 1
y = x^2 - 7x + 1
y = 1^2 - 7(1) + 1
y = 1 - 7 + 1
y = -5
We can eliminate choice C (since again we want a result of y = 9)
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Finally let's check choice D
y = x^2 - 7x - 1
y = 1^2 - 7(1) - 1
y = 1 - 7 - 1
y= -7
so choice D is off the list as well
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The only thing left is choice B, so it must be the answer. It turns out that plugging x = 1 into this equation leads to y = 9 as shown below
y = x^2 + 7x + 1
y = 1^2 + 7(1) + 1
y = 1 + 7 + 1
y = 9
And the same applies to any other x value in the table (eg: plugging in x = 3 leads to y = 31, etc etc).
√36 = plus or minus 6. These results are real, rational, integer, whole and natural, and yes, there can be more than one answer; that's because we're solving a quadratic equation. Note that both 6 and -6, when squared, yield 36.