This is true.
Example:
= 8/9 ÷ 7/3
to divide fractions, multiply by the reciprocal/inverse of 7/3
= 8/9 * 3/7
= (8*3)/(9*7)
multiply numerators; multiply denominators
= 24/63
simplify
= 8/21
ANSWER: This is (A) true
Hope this helps! :)
Answer:
f(n) = 2 + 5n. This is an arithmetic sequence.
Step-by-step explanation:
f(1) = 7
f(2) = 7 + 5
f(3) = 7 + 5 + 5 = 7 +10
f(4) = 7 + 5 + 5 + 5 = 7 + 15
In general,
f(n) = 7 + 5(n -1 )
= 7 + 5n - 5
= 2 + 5n
We have the sequence 7, 12, 17, 22, 27 …
This is an arithmetic sequence, because it is a sequence of numbers in which the <em>common difference</em> between consecutive terms is 5.
in plain and short, to graph an inequality, we first graph its EQUALITY graph, and then we do the shading.
so to graph y > x + 3, we first graph y = x + 3, which is just a line, and then do a true/false check on a point to see which side we shade.
let's hmmm check the point say (0,2), x = 0, y = 2.
y > x + 3
2 > 0 + 3
2 > 3 <--- is that true? is 2 really larger than 3? nope, so is false.
that simply means that the point (0, 2) is on the false area, so that's the area we do NOT shade, so <u>we shade the other side</u>.
y > x + 3, means "y" is greater than or larger than that line, but not equals, larger not equal, meaning the values on the borderline are not included, so the line is a dashed line.
check the picture below.