Answer:
m = 2/3
b = -3
Step-by-step explanation:
Rearrange the equation to slope-intercept form (y = mx + b).
x and y are points on the graph.
m is the slope.
b is the y-intercept.
Isolate "y". This means separating it from the other numbers.
-2x +3y = -9
-2x + 2x +3y = -9 + 2x Add 2x to both sides
3y = 2x - 9
3y/3 = 2x/3 - 9/3 Divide both sides by 3
y = 2x/3 - 9/3 Simplify
y = (2/3)x - 3
Think about which numbers and "m" and "b" now that the equation is in y = mx + b. Include the plus and minus signs.
m = 2/3
b = -3
£30.08+£40
£70.08 is the answer.
Answer:
y = - 3x² - 24x - 60
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, - 12 ), thus
y = a(x + 4)² - 12
To calculate a substitute (- 7, - 39) into the equation
- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )
- 27 = 9a ( divide both sides by 9 )
- 3 = a
y = - 3(x + 4)² - 12 ← in vertex form
Expand (x + 4)²
y = - 3(x² + 8x + 16) - 12
= - 3x² - 24x - 48 - 12
y = - 3x² - 24x - 60 ← in standard form
= - 3(x²
Answer:
343
Step-by-step explanation:
The last one is rational because it is a terminating decimal.
