Answer:
C.
Step-by-step explanation:
recall that the point-slope form of a linear equation is given by
y = mx + c
Rearranging so that it is in the same form as the answer choices, we get
y = c + mx
where m is the slope and c is the y-intercept
we note the following observations
1) The line goes from top left to bottom right, this means that the slope is negative, hence m has to be negative. (in our case, all the choices have negative x)
2) The line crosses the y-axis at y = 4, this means the y-intercept is 4 and hence c = 4.
If we look at the choices, only choice B satisfies both observations (that m is negative and c = 4)
This is a fairly easy question. So I'll break it down and give you a description of the terms.
A repeating decimal (like 1/3, 3.333etc is often written as 3.3 with a dot above the second 3 or a ... or an etc) can be anything you chose, 0.7222etc...., 0.3555etc.... Any number which goes on forever. Your choice! A terminating decimal does not go on forever, like 0.25 or 0.43353. It can be as long as you like but it has to end at some point.
Inequalities are just a question, which value is bigger? You use a < or > to show the relationship, x<y means x is smaller than y. Same for y>x.
So just choose two numbers, 0.333... and... let's say, 0.72. 0.72 is larger so we write 0.333...<0.72
Done!
Answer:
Step-by-step explanation:
If Samantha's earnings continue to increase at the same rate, this means that her earning is increasing arithmetically.
If she earned $550 in the first day, we can say the first term is $550
If she earned $750 on the third day, we can say the third term is $750
For us to know by how much her money is increasing, we need to find the common difference d formed by the sequence
550, x , 750
T1 = 550
T2 = x
T3 = 750
Common difference d = T2-T1 = T3-T2
x - 550 = 750 - x = d
Let's calculate the second term first i.e x
Since x - 550 = 750 - x = d
x - 550 = 750 - x
Collect like terms
x+x = 750+550
2x = 1300
x = 1300/2
x = 650
d = T2-T1
d = x - T1
d = 650-550
d = 100
Hence her money keeps increasing by $100 each day
