Respuesta :

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+6x

2. Expand 5x³ (5x+1)

• Distribute

: 5³(5x+1)

: 25x⁴+5x³

3.Use the slope-intercept form

: y=mx+b

y= 5–5x

y= 5x – 5

•to find the slope(gradient)" m "

and y-intercept" b"

Slope: - 5 (Gradient)

y-intercept: (0,5)

4. Gradient of 7 = 3x-4y

y = mx + b, or mx + c

(m = gradient)

7 = 3x - 4 y

-3x + 4y = -7

4y = 3x - 7

y = 3/4 x - 7/4

comparing with y=mx + c or mx + d

we ,

m = slope = 3/4 (Gradient)

d or c = y intercept = - 7/4