Answer:
The consecutive numbers are 62 and 63
Step-by-step explanation:
Let the larger number be represented by x and the smaller number by y,
Provided they are consecutive numbers;
--- Equation 1
From the question; we have that
--- Equation 2
Required
Find x and y
Multiply both sides of equation 2 by 14


---- Equation 3
Substitute y + 1 for x in equation 2

Open bracket

Collect like terms



So,


Hence, the consecutive numbers are 62 and 63
7 is a prime number, which means it can't be simplified. This fraction is already in simplest form, also because 25 and 7 don't have any common factors.
Answer: D) 3x - 5
Step-by-step explanation:
f(x) - g(x)
f(x) = 1/2x - 3
g(x) = -5/2x + 2
Using the values of f(x) and g(x) gives us the equation:
1/2x - 3 - (-5/2x +2)
By distributing the negative sign, the signs on 5/2 and 2 are flipped, making them positive and negative respectively.
Our new equation is:
1/2x -3 + 5/2x -2
Adding up like numbers gives us:
6/2x - 5
Simplifying 6/2x => 3x
So our final equation is:
3x - 5
Hope this helps!
Answer:
A
Step-by-step explanation:
y=3/4x+4 best represents the line shown below. Because the slope of this graph is 3/4, and the y-intercept is positive 4. Remember that slope=rise/run. You can find the slope very easily by counting, 3 upwards and 4 rightwards.