Expand 3x(2+11x) Expand 5x³(5x+1)

State the gradient of the line y=5-5x

State the gradient of the line 7=3x-4

3x(2+11x) = 6x + 33x^2

5x^3(5x+1) = 25x^4 + 5x^3

y = mx + c (m = gradient)

y = 5 - 5x
y = -5x + 5 (m = -5)

7y = 3x - 4
y = 3/7x - 4/7 (m = 3/7)

If you meant to write 7 = 3x - 4y then
7 + 4y = 3x
4y = 3x - 7
y = 3/4x - 7/4 (m = 3/4)

Step-by-step explanation:

1. Expand 3x(2+11x)Rearrange terms° 3x(2+11x)3x(11x+2)Distribute• 3x(11x+2)• 33x²+6x2. Expand 5x³ (5x+1)• Distribute: 5³(5x+1) : 25x⁴+5x³3.Use the slope-intercept form : y=mx+by= 5–5xy= 5x – 5 •to find the slope(gradient)" m " and y-intercept" b"Slope: - 5 (Gradient)y-intercept: (0,5)4. Gradient of 7 = 3x-4yy = mx + b, or mx + c (m = gradient)7 = 3x - 4 y-3x + 4y = -74y = 3x - 7y = 3/4 x - 7/4comparing with y=mx + c or mx + d we ,m = slope = 3/4 (Gradient) d or c = y intercept = - 7/4