Answer:
Step-by-step explanation:
For this case we know that:
And we want to find the value for 
, so then we can use the following basic identity:
And if we solve for 
we got:
And if we replace the value given we got:
For our case we know that the angle is on the II quadrant, and on this quadrant we know that the sine is positive but the cosine is negative so then the correct answer for this case would be:
Answer: function 1
Rate of change of function 1:
Following the format of y=mx+c, the rate of change should be m, so, the rate of change for function 1 = 4
To find the gradient (rate of change):
The two points the line passes through are (x1, y1) and (x2, y2), which in this case is (1, 6) and (3, 10)
(Doesn't matter which is which but you need to make sure that once you decide which is which, you stick to it)
To calculate the gradient, you substitute these values following (y1 - y2)/(x1 - x2)
Gradient of function 2 = (10 - 6)/(3 - 1)
= 2
Therefore, since 4 > 2, rate of change of function 1 > rate of change of function 2.
Answer:
Melody have now $27.75
Step-by-step explanation:
We will proceed to solve the problem in parts so that it can be better understand
so
1) Originally Melody had $45
2) She spent $32.75 on a blouse
so
In this moment Melody has --------> $45-$32.75=$12.25
3) Her mother gave her $15.50
so
In this moment Melody has --------> $12.25+$15.50=$27.75
therefore
Melody have now $27.75
Answer:
c > 9
Step-by-step explanation:
(2c/3) + 1 > 7 subtract 1 from both sides
2c/3 > 7 -1
2c/3 > 6 (multiply both sides by 3)
2c > 6(3)
2c>18 (divide both sides by 2)
c > 18 / 2
c > 9
D∩E=D This is because since D is a subset of E then the elements they will have in common are the elements in D and D is not a null set
