The price of a ring was increased by 8% to £486. What was the price before the increase?
1 answer:
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Answer:
Step-by-step explanation:
We'll just work on solving both so you can see what's involved in solving an absolute value equation. Because an absolute value is a distance, we can have that distance being both to the right on the number line of the number in question or to the left. For example, from 2 on the number line, the numbers that are 5 units away are 7 and -3. Using that logic, we will simplify the equation down so we can set up the 2 basic equations needed to solve for x.
If then
What you need to remember here is that you cannot distribute into a set of absolute values like you would a set of parenthesis. The -2 needs to be divided away:
Now we can set up the 2 main equations for this which are
.5x + 1.5 = .5 and .5x + 1.5 = -.5
Knowing that an absolute value will never equal a negative number (because absolute values are distances and distances will NEVER be negative), once we remove the absolute value signs we can in fact state that the expression on the left can be equal to a negative number on the right, like in the second equation above.
Solving the first one:
.5x = -1 so
x = -2
Solving the second one:
.5x = -2 so
x = -4
Answer:
is a polynomial
Step-by-step explanation:
Given : polynomials and
Solution:
Polynomial :An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable.
Thus is a polynomial
Hence option A is correct.
Answer:
C. 270 grams
Step-by-step explanation:
-This is an exponential growth function which can be expressed using the formula:
Where:
is the size at time t.
is the initial size
is the growth rate
is the time
Given the size at t=2 and at t=0, we substitute in the growth function to solve for r:
We use this calculated rate to determine the population at t=6
Hence, the bacteria's size at t=6 is 270 grams