Answer:
x = 4, y = 2
Step-by-step explanation:
Start by multiplying the first equation by 2:
2x + 2y = 12 --> 4x + 4y = 24
Subtract the second from the first:
4x + 4y = 24
- 5x + 4y = 28
4x - 5x = -x
4y = 4y = 0
24 - 28 = -4
so you end with -x + 0 = -4
Solve for x to get x = 4
Plug x = 4 back into 2x + 2y = 12 to find y.
2(4) + 2y = 12
8 + 2y = 12
2y = 4
y = 2
Answer:
k=20
Step-by-step explanation:
when x approaches 4, the denominator x-4 approaches 0
if the denominator is 0, it means that this is invalid
if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit
so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4
so x^2 + x - k = 0 when x = 4
4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20
Answer:
the answer would be: 5-13c
Answer:
5 1/2
Step-by-step explanation:
The calories contained are from grams of carbohydrates and other ingredients
One gram of carbohydrate contains 4 calories
The equation 4c + 5 = 27 represents the relationship between these quantities.
1. 5 from the equation represent calories from other ingredients
2. Neither 8 nor 3 is the solution to the equation
4c + 5 = 27
When 8 is the solution
4(8)+5=27
32+5=27
37=27
When 3 is the solution
4(3)+5=27
12+5=27
17=27
Neither 8 nor 3 is the solution to the equation because 8 gives a higher calories in the granola bite and 3 gives a lower calories in the granola bite.
3. Solution to the equation
4c + 5 = 27
4c= 27-5
4c = 22
Divide both sides by 4
c=22/4
=5 2/4
=5 1/2
The solution to the equation is 5 1/2
Answer:
Yes.
Step-by-step explanation:
Yes because each value of x maps to a single value of y.
THere is a many-to-one relation with (1, 12) and (5, 12) but that is OK for a function. What would not be OK is if we had a one-to-many relation like (1, 12) and (1, 14) included in the ordered pairs - that is not a function.
