Answer:
c(2) = -10
Step-by-step explanation:
The first equation says that the first term of the sequence is -20.
The second equation is saying that to find any term of the sequence, add 10 to the previous term.
c(2) = c(2-1) + 10
c(2) = c(1) + 10
c(2) = -20 + 10 = -10
Answer:
At least 100 degrees
Step-by-step explanation:
Here, we want to make an inequality assertion from the graph drawn by Dr Hilton.
The correct conclusion here is that a person has a fever once his/her temperature is greater than or equal to 100 degrees.
How do we know this from the graph? from the graph, we can see a yellow circular mark placed on 100. This indicates that we are starting our consideration from the point 100 degrees. What we don not know is if our answer is less than, greater than, less than or equal to or greater than or equal to.
The correct answer is however greater than or equal to. Firstly we check the fill of the yellow circular mark. Once it is filled and not left blank, then it indicates an equal to relationship, meaning 100 degrees itself is included in the range.
finally we then consider the direction it faces and from here we can conclude that it is greater than or equal to
Answer:
3=-3
A radical is a mathematical symbol used to represent the root of a number. Here’s a quick example: the phrase “the square root of 81” is represented by the radical expression . (In the case of square roots, this expression is commonly shortened to —notice the absence of the small “2.”) When we find we are finding the non-negative number r such that , which is 9.
While square roots are probably the most common radical, we can also find the third root, the fifth root, the 10th root, or really any other nth root of a number. The nth root of a number can be represented by the radical expression.
Radicals and exponents are inverse operations. For example, we know that 92 = 81 and = 9. This property can be generalized to all radicals and exponents as well: for any number, x, raised to an exponent n to produce the number y, the nth root of y is x.
Answer:
d.
Step-by-step explanation:
The goal of course is to solve for x. Right now there are 2 of them, one on each side of the equals sign, and they are both in exponential positions. We have to get them out of that position. The way we do that is by taking the natural log of both sides. The power rule then says we can move the exponents down in front.
becomes, after following the power rule:
x ln(2) = (x + 1) ln(3). We will distribute on the right side to get
x ln(2) = x ln(3) + 1 ln(3). The goal is to solve for x, so we will get both of them on the same side:
x ln(2) - x ln(3) = ln(3). We can now factor out the common x on the left to get:
x(ln2 - ln3) = ln3. The rule that "undoes" that division is the quotient rule backwards. Before that was a subtraction problem it was a division, so we put it back that way and get:
. We can factor out the ln from the left to simplify a bit:
![x[ln(\frac{2}{3})]=ln(3)](https://tex.z-dn.net/?f=x%5Bln%28%5Cfrac%7B2%7D%7B3%7D%29%5D%3Dln%283%29)
. Divide both sides by ln(2/3) to get the x all alone:
On your calculator, you will find that this is approximately -2.709
Answer:
x = 8 or x = 2
Step-by-step explanation:
We know x - 5 = 3 or x - 5 = -3.
<u>Possibility 1:</u>
Step 1: Add 5 to both sides.
<u>Possibility 2:</u>
Step 1: Add 5 to both sides.
Step 2: Check if both solutions apply to original equation.
