2 1/7 x 4 3/8
15/7 x 3/2
45/14 or 3 3/14
Use slope intercept form for equation, which is y = mx +b. m is slope and b is the y-intercept.
Find slope by change in y over change in x. So pick two points, for example (0, 24) and (2, 20). Slope (m) will be
(y2-y1)/(x2-x1)
= (24-20)/(0-2)
= 4/-2
m = -2
Y-intercept is 24.
Equation is y = -2x + 24
The 30th term of the given sequence is 82.
<u>Step-by-step explanation</u>:
- The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on.
- The given linear sequence (-5,-2,1,4,7) is in the form of Arithmetic Progression with a common difference of 3.
- -5, -5+3 = -2, -2+3 = 1, 1+3 = 4 and so on.
The nth term is given by the formula nth term = a + (n - 1) d
where
a = first term
d = common difference
<u>To find the 30th term in the given sequence :</u>
The first term, a = -5 and the common difference, d = 3.
30th term = -5 + (30-1) 3
⇒ -5 + (29) 3
⇒ -5 + 87
⇒ 82
Therefore, the 30th term in the given sequence is 82.
Answer:
2/4 and 3/4
Step-by-step explanation:
To make both fractions have the same denominator, multiply 1/2 by 2. 1/2 times 2 equals 2/4
