Answer:
point slope form is y=mx+b
the equation of the line that goes through (6,4) and (7,2) is y=-2x+16
Answers:
- All values of t must be positive
- A viable solution is (10, 50)
- All values of t must be positive.
EXPLANATION
t, temperature (in Fahrenheit) is dependent on c
c is the number of cricket chirps heard in 14 seconds
Therefore, all values of c must be positive integers
If all values of c must be positive integers
Then all values of t must also be positive integers
- A viable solution is (10, 50).
EXPLANATION
t = c + 40
Since 10 is a positive integer, it is a possible value for c
If c = 10
t = 10 + 10
t = 50
Therefore a viable solution is (10, 50)
EXPLANATION FOR WHY OTHER OPTIONS ARE WRONG:
- The graph is continuous.
This is WRONG because this function only allows the values of c to be only certain points in the interval (only positive integers). Therefore, it is a discrete function.
- A viable solution is (–2, 38)
This is WRONG because the -2 is a negative integer, and the value of c cannot be a negative integer.
- A viable solution is (0.5, 40.5)
This is WRONG because 0.5 is not an integer, and all values of t must also be positive integers.
A) x = 0.296
B) x= 15
Step-by-step explanation:
Step 1:
(2/3) : x :: 4.5 :2
By using expansion method,
(2/3) × 2 = 4.5 x
x= (2/3) × 2 / 4.5
x = 0.296
Step 2:
(2/3) : (1/5) :: 50 :x
By using expansion method,
(2/3) x = (1/5) × 50
x= (1/5) × 50 / (2/3)
x = 15
Answer:
Hey there!
Let x be the price of lipstick
Let 1/2x be the price of shampoo
1.5x=20
x=13.33
1/2x=6.67
The shampoo costed $6.67, and the lipstick costed $13.33
Let me know if this helps , or if you have any more questions :)
Answer:
16
Step-by-step explanation:
Start by adding 9 to both sides, obtaining: √(x + 9) = 5.
Square both sides, obtaining: x + 9 = 25.
Subtract 9 from both sides: x = 16
Note that √(16+9) - 9 = -4, as required.