Answer:
y=2x when x>5
Step-by-step explanation:
y=|x−5|+|x+5|
If x > 5 then x-5 is greater than 0 so we can remove the absolute value bars from the first term
x>5 then x+5 >0 so we do not need the absolute value bars on the second term
y = x-5 + x+5
Combine like terms
y = x+x-5+5
y = 2x
Let's look at numbers with the same digit in different places and see if we can determine some relationship.
Consider the number 20.
Now, consider the number 200, which has the 2 in the location just to the left of where it is in 20. You're expect to observe that the number 200 is <em>ten times</em> the number 20.
Consider the number with the 2 in the position to the right of where it is in 20. That number is 2. You are expected to observe that the number 2 is <em>one-tenth</em> the number 20.
The place-value of a digit increases by a factor of 10 when moved one place left, and is reduced by a factor of 1/10 when moved one place right.
_____
This is what makes a place-value number system work. In Roman Numerals, for example, the value of a character is changed by ...
- putting it ahead of or after a higher-value character: IV, VI
- changing the character: I, V, X, L, C, D, M
Place-value number systems don't have to have 10 as their base. We use 60 for the base in (minutes):(seconds), both for time and angle measures. We use 2, 8, or 16 as the base in the binary, octal, and hexadecimal numbers used by computer systems. These other place-value systems have the same characteristic: the value of a digit is increased by a factor of the base when moved to the left, and decreased by a factor of the base when moved to the right. (The hexadecimal value A7C0 has 16 times the value of A7C, for example, and 1/16th the value of A7C00.)
50 + 12m = 460
Subtract 50 from both sides
12m = 410
Divide 12 from both sides to isolate m
m = 34 1/6
Answer:
x=−6−√105 or x=−6+√105
Step-by-step explanation:
Set the function equal to 0
0=x²+12x−69 Subtract x² from both sides.
0−x²=x²+12x−69−x²
−x²=12x−69 Subtract 12x from both sides.
−x²−12x=12x−69−12x
−x²−12x=−69 Divide both sides by -1.
x²+12x=69 Add (12/2)^2=36 to both sides to complete the square.
x²+12x+36=69+36
x²+12x+36=105 Factor left side.
(x+6)²=105 Take square root of both sides
x+6=±√105 Add -6 to both sides.
x+6+−6=−6±√105
x=−6±√105 Write out both solutions
x=−6−√105 or x=−6+√105
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Answer:
9weeks 2days = (9 × 7) + 2 = 63 +2=65 days
Step-by-step explanation: