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>
Answer:
The fraction 13/7 is a rational number. Both 13 and 7 are integers (whole numbers), so by definition, 13/7 is a rational number
We need a picture of the graph
Answer:
d=4
Step-by-step explanation:
SUM OF 15 terms = 615
T5 = 53
T5 = a+(n-1)d
53 = a + 4d
4d = 53 - a
d = (53-a)/4
S15 = 15/2 (2a+14d) =615
15/2 [2a + 14×(53-a)/4 ]
=15/2 [ 2a +(53×14 - 14a )/4 ]
=15/2 [ (8a +742 - 14a ) /4]
615×8 = 15(-6a +742)
-6a+72=615×8/15 =41
-6a+72=42
-6a = - 72 + 42 = -30
a = 30/6= 5
a = 5
T5 = 5 + 4×d = 53
4d= 53 - 5 = 48
4d=48
d=4
Common difference is 4
1.
2.
3.
4.
Comments:
We can see that as long as we add/subtract any value to both sides nothing happens: true statements remain true and false statements remain false. But if we multiply or divide by negative values, false statements become true and true statements become false. That why, when you multiply or divide an inequality by a negative number, you should also flip the inequality sign. For example, if we start with the true inequality
If we multiply both sides by -2 we have to flip the sign as well:
And the inequality will remain true.
