Answer:
The numbers are 39 and 14.
Step-by-step explanation:
Equation 1, sum of the numbers:
x + y = 53
Equation 2, difference of the numbers:
x - y = 25
System of equations:
x + y = 53
x - y = 25
----------------
2x = 78
x = 39
Solve for y:
39 + y = 53
y = 14
The numbers are 39 and 14.
5x+x=42
X=7
The daughter is 7
Check work 7 times 5 is 35, 35 plus 7 is 42
Answer:
A. y = x^2 -6x + 13
Step-by-step explanation:
The parabola that opens up and has line of symmetry x=3 and a minimum at x=3 is
The reason is that, we can write this function in the vertex form to get;
Hence the line of symmetry is x=3 and the vertex is (3,4)
Answer: At noon the temperature outside of Hector's home was 4 degree warmer than the temperature outside of gale's home.
Step-by-step explanation:
Here, x represents the number of hours after noon while g(x) and f(x) represents the temperature of gale's and hector's home respectively in x hours.
Since, at noon, x = 0
And, by the table g(x=0) = -1
That is, the temperature of gale's home is -1° F at noon.
And, by the given graph, f(x=0) = 3
That is, the the temperature of hector's home is 3° F at noon.
And, f(0)-g(0) = 3-(-1) = 4°F
That is, the difference between the temperature of hector's home at noon and the temperature of gale's home at noon is 4°F.
