Since we have two points (2,54) and (4,54), we can assume a linear function and solve for the slope and intercept. So if V=kt+b where t is time passed and v is velocity of the car, we can plug in and solve for k and t, that would give t as a function of v, and you can graph it
Simplifying
0x + 7 + 5x = 2x + 30 + 40
Anything times zero is zero.
0x + 7 + 5x = 2x + 30 + 40
Combine like terms: 0 + 7 = 7
7 + 5x = 2x + 30 + 40
Reorder the terms:
7 + 5x = 30 + 40 + 2x
Combine like terms: 30 + 40 = 70
7 + 5x = 70 + 2x
Solving
7 + 5x = 70 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
7 + 5x + -2x = 70 + 2x + -2x
Combine like terms: 5x + -2x = 3x
7 + 3x = 70 + 2x + -2x
Combine like terms: 2x + -2x = 0
7 + 3x = 70 + 0
7 + 3x = 70
Add '-7' to each side of the equation.
7 + -7 + 3x = 70 + -7
Combine like terms: 7 + -7 = 0
0 + 3x = 70 + -7
3x = 70 + -7
Combine like terms: 70 + -7 = 63
3x = 63
Divide each side by '3'.
x = 21
Simplifying
x = 21
Answer:
24
Step-by-step explanation:
The first term of any sequence is the term of the sequence that comes first.
Given the sequence of numbers 24, 12, 6, 3...
We can see that the number that comes first is 24. Hence the first term of the given sequence will be 24
Answer:
5
Step-by-step explanation:
it is the only non-multiple of 3 and 4
Answer:
x = larger number
Let y = smaller numer
(1) x + y = 48
(2) x = y + 14
Solving (1) for x:
x = 48-y
Substituting this into (2) and solving for y:
48-y = y+14
48-2y = 14
-2y = -34
y = 17
x = 48-y = 31
So, the smaller number is 17 and the larger number is 31
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