Answer:
7y
Step-by-step explanation:
Answer:
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Step-by-step explanation:
(2x + 3)⁵
₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵
Use Pascal's triangle to find nCr.
1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵
(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 is in this form with slope m = 3
• Parallel lines have equal slopes, hence
y = 3x + c ← is the partial equation of the parallel line
To find c substitute (10, 1) into the partial equation
1 = 30 + c ⇒ c = 1 - 30 = - 29
y = 3x - 29 ← in slope- intercept form
Subtract y from both sides
0 = 3x - y - 29 ( add 29 to both sides )
29 = 3x - y, thus
3x - y = 29 ← in standard form → B
Answer:
The correct answer is D. -2,592, -15,552, -93,312
Step-by-step explanation:
Each of the terms is the previous term multiplied by 6. You can find this by taking any term and dividing it by the one before it. The answer will always be 6.
-72/-12 = 6
-12/-2 = 6
So, in order to find the next 3, we take the last term and multiply it by 6.
-432 * 6 = -2,592
-2,592 * 6 = -15,552
-15,552 * 6 = -93,312
