Answer:
Wait what?
Step-by-step explanation:
Answer:
<h2>3 + 4(n - 1)</h2>
Step-by-step explanation:
let r be the common differenc of the sequence
Term 12 - Term 7 = (12 - 7)r
then
47 - 27 = 5r
then
20 = 5r
then
r = 4
term 7 = term 1 + (7 - 1)r
then
27 = term 1 + 6r = term 1 + 24
then
Term1 = 27 - 24 = 3
<em><u>therefore </u></em>
the standard explicit formula of the sequence is :
term 1 + (n - 1)r = 3 + 4(n - 1)
Answer:
Option b and d.
Step-by-step explanation:
Given equation : -5x + 4y > -7
Putting the values of x and y one by one in the options,
a) Putting x as 6 and y as 4.
=> -5(6) + 4(4) > -7
=> -30 + 16 > -7
=> -14 > -7
This doesn't satisfy the inequality, hence this couldn't be the ordered pair.
Similarly,
b) Putting x as 5 and y as 5.
=> -5(5) + 4(5) > -7
=> -25 + 20 > -7
=> -5 > -7
This satisfies the inequality, hence this is the ordered pair.
c) Putting x as 3 and y as 2.
=> -5(3) + 4(2) > -7
=> -15 + 8 > -7
=> -7 > -7
This doesn't satisfy the inequality, hence this couldn't be the ordered pair.
d) Putting x as -2 and y as -4.
=> -5(-2) + 4(-4) > -7
=> 10 - 16 > -7
=> -6 > -7
This satisfies the inequality, hence this is the ordered pair.
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>
X = 30 I think as angle on straight line = 180 so 180-103 = 77 , 30+43 = 73 , 77+73 = 150 , 180-150= 30 , then opposite angles are the same so therefore x = 30 degrees