1. determine if the number is written in scientific notation. if not, explain 32x10^4
a. no; it is not written as a power of 10
b. no; the first factor is not a number between 1 and 10
c. yes; the number is written in scientific notation

2. determine if the number is written in scientific notation. if not, explain 2.01x 10^-5
a. no; it is not written as a power of 10
b. no; the first factor is not a number between 1 and 10
c. yes; the number is written in scientific notation

1)

option b is correct.

2)

Option c is correct.

Step-by-step explanation:

We know that any number is in scientific notation if it could be represented as:

So the number is written in two parts:

1)

32×10^4 is not expressed in scientific notation as the decimal point is not placed after the first digit.

Hence option b is correct.

The number in scientific notation is:

(3.2×10^5)

2)

2.01×10^-5.

Yes, the given expression is in scientific notation as it satisfies the above two rules of number in scientific notation.

Hence, option c is correct.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!