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dolphi86 [110]
2 years ago
11

Question:|x-2|, if x > 5 simplify without the absolute value sign

Mathematics
1 answer:
nikitadnepr [17]2 years ago
5 0

Answer:

x - 2, if x > 5

Step-by-step explanation:

The vertical lines either side of the expression mean absolute value.

The absolute value of a number is its <u>positive numerical value</u>.

if x > 5 then as 5 > 2, the values inside the vertical lines will always be positive.  Therefore, we can disregard the absolute value.

Therefore:  

x - 2,  if x > 5

To find the range (output values) of the expression, substitute x = 5 into the expression:

⇒ 5 - 2 = 3

Therefore, |x - 2| > 3,  if x > 5

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Sue has 20 biscuits in a tin.
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3 years ago
What is the solution set of the equation 30/x^2-9 +1=5/x-3
gizmo_the_mogwai [7]
\frac{30}{x^{2} - 9 + 1} = \frac{5}{x - 3} \\\frac{30}{x^{2} - 8} = \frac{5}{x - 3} \\5(x^{2} - 8) = 30(x - 3) \\5(x^{2}) - 5(8) = 30(x) - 30(3) \\5x^{2} - 40 = 30x - 90 \\5x^{2} + 50 = 30x \\5x^{2} - 30x + 50 = 0 \\5(x^{2}) - 5(6x) + 5(10) = 0 \\5(x^{2} - 6x + 10) = 0 \\\frac{5(x^{2} - 6x + 10)}{5} = \frac{0}{5} \\x^{2} - 6x + 10 = 0 \\x = \frac{-(-6) \± \sqrt{(-6)^{2} - 4(1)(10)}}{2(1)} \\x = \frac{6 \± \sqrt{36 - 40}}{2} \\x = \frac{6 \± \sqrt{-4}}{2} \\x = \frac{6 \± 2i}{2} \\x = 3 \± i \\x = 3 + i\ or\ x = 3 - i

The answer is D.
8 0
3 years ago
Read 2 more answers
Select the correct answer. if function g has the factors (x − 7) and (x 6), what are the zeros of function g? a. -7 and 6 b. -6
Nimfa-mama [501]

Option (b) -6 and 7 is the correct option.

The zeroes of the function f and g are x=7 and x=-6 respectively.

<h3>What are the zeroes of a polynomial?</h3>

The values of x that satisfy the formula f(x) = 0 are the zeros of a polynomial. The polynomial's zeros are the x values for which the function's value, f(x), equals zero in this case. The degree of the equation f(x) = 0 determines how many zeros a polynomial has.

Put x-7=0

X=7

Now, put x+6=0

So, x=-6

The zeroes of the function f and g are 7 and -6 respectively.

Learn more about zeroes of a polynomial at: brainly.com/question/10702726

#SPJ4

5 0
1 year ago
Which statement is not true about the data shown by the box plot below? A. Three fourths of the data is less than 65. B. The med
Crank

Answer:

C. The interquartile range is 55

Step-by-step explanation:

When you want to find the interquartile range you look at the box plot to see that it is everything from the upper interquartile range to the lower interquartile range is the interquartile range. So from 40 to 65. So there for the answer C. is incorrect.  

8 0
3 years ago
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