Answer:
p = 3, q = 2.5
Step-by-step explanation:
Given that x = - 4 is a root of the equation, then
(- 4)² - 4p - 4 = 0, that is
16 - 4p - 4 = 0
12 - 4p = 0 ( subtract 12 from both sides )
- 4p = - 12 ( divide both sides by - 4 )
p = 3
Also given that the equation x² + px + q = 0 has equal roots
Thus the value of the discriminant b² - 4ac = 0
Here a = 1, b = p and c = q, thus
p² - 4q = 0 ← substitute p = 3 from above into the equation
9 - 4q = 0 ( subtract 9 from both sides )
- 4q = - 9 ( divide both sides by - 4 )
q = 2.5
The ordered pairs ( 1 , 4 ) , ( 2 , 1 6 ) , ( 3 , 6 4 ) , ( 4 , 2 5 6 ) , ( 5 , 1 , 0 2 4 ) ( 1 , 4 ) , ( 2 , 1 6 ) , ( 3 , 6 4
Annette [7]
Answer:
The rule is f(x) = 2^(2x).
Step-by-step explanation:
Note that 4 = 2^2, 16 = 4^2, 64 = 8^2, 256 = 16^2 and 1024 = 32^2
and the first numbers in the ordered pairs are 1 , 2 ,3, 4, 5
compare this with 2, 4 , 8, 16 , 32.
We see that the rule for this is 2^x where x is the sequence number.
So the rule for the original ordered pairs is (2^x)^2.
= 2^2x.
For this case we have the following subtraction:
We can rewrite the subtraction in an easier way.
We have then:
Then, by doing associative property we have:
Answer:
The value of the subtraction is given by:
Answer:
21 to 3
70 to 10
Step-by-step explanation:
28÷7 = 4
21÷7 = 3
70÷7 = 10
Answer:
10) x = 8.12
12) x = 5.5
Step-by-step explanation:
10) tan 32° = x/13
x = 8.12
12) cos 60° = x/11
x = 5.5
