First step: you have to plug in 6y+3 into the equation and solve
Example: 6y+3+2y = 5
Part A:
Express the given number of hours and velocities of the cyclist as ordered pairs. The time (number of hours) can be our abscissa (x-coordinate) and the velocities can be our ordinate (y-coordinate). The coordinates are therefore (2, 18) and (4, 4). The equation that can be formed in this is established through the two-point equation.
(y - y₁) = ((y₂ - y₁)/(x₂ - x₁))(x - x₁)
Substitute the known variables.
(y - 18) = ((4 - 18)/(4 - 2))(x - 2)
Simplifying the equation,
y - 18 = -7(x - 2)
y = -7x + 32
<em>ANSWER: y = -7x + 32
</em>Part B: This can be graph in the Cartesian plane and numbers 1 to 8 can be substituted to y and take note of the ordered pairs for each point. The slope of the line should be -7 and the y-intercept is 32.<em>
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Answer:
-1
Step-by-step explanation:
-2/3 - 1/3
Since the denominators are the same, we can combine the numerators
-3/3
Simplify
-1
Regarding question number 47, which is what I can read well ...
Equation 4 (3x-2) ² = 36 It can be solved in the following way:
-Apply distributive property
4 (9x ²-12x +4) = 36
-We order the terms and equalize to zero
36x² -48x +16 -36 = 0
36 x ² -48x -20 = 0
The roots of this equation are
(-48 + √(48 ²-4 ×36 × -20)) / 2 ×36
and
(-48 - √(48 ²-4 × 36 ×-20)) / 2 ×36
Finally the solution is:
option C
x = -1 / 3
x = 5/3
True because if you were to do common denominators 1/2 is equivalent to 4/8 and 4/8 is greater than 1/8
