Answer:
x-intercept= (5,0)
y-intercept= (0,-2)
Slope= 2/5
Step-by-step explanation:
Answer:
simplified = 8x - 8
Step-by-step explanation:
trust me :)
The value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81
<h3>How to expand the expression?</h3>
The expression is given as:
(2x -3)^4
Using the binomial expansion, we have:
![(2x -3)^4 = ^4C_0 * (2x)^4 * (-3)^0 +^4C_1 * (2x)^3 * (-3)^1 + ^4C_2 * (2x)^2 * (-3)^2 + ^4C_3 * (2x)^1 * (-3)^3 + ^4C_4 * (2x)^0 * (-3)^4](https://tex.z-dn.net/?f=%282x%20-3%29%5E4%20%3D%20%5E4C_0%20%2A%20%282x%29%5E4%20%2A%20%28-3%29%5E0%20%2B%5E4C_1%20%2A%20%282x%29%5E3%20%2A%20%28-3%29%5E1%20%2B%20%5E4C_2%20%2A%20%282x%29%5E2%20%2A%20%28-3%29%5E2%20%2B%20%5E4C_3%20%2A%20%282x%29%5E1%20%2A%20%28-3%29%5E3%20%2B%20%5E4C_4%20%2A%20%282x%29%5E0%20%2A%20%28-3%29%5E4)
Evaluate the combination factors.
So, we have:
![(2x -3)^4 = 1 * (2x)^4 * (-3)^0 + 4 * (2x)^3 * (-3)^1 + 6 * (2x)^2 * (-3)^2 + 4 * (2x)^1 * (-3)^3 + 1 * (2x)^0 * (-3)^4](https://tex.z-dn.net/?f=%282x%20-3%29%5E4%20%3D%201%20%2A%20%282x%29%5E4%20%2A%20%28-3%29%5E0%20%2B%204%20%2A%20%282x%29%5E3%20%2A%20%28-3%29%5E1%20%2B%206%20%2A%20%282x%29%5E2%20%2A%20%28-3%29%5E2%20%2B%204%20%2A%20%282x%29%5E1%20%2A%20%28-3%29%5E3%20%2B%201%20%2A%20%282x%29%5E0%20%2A%20%28-3%29%5E4)
Evaluate the exponents and the products
![(2x -3)^4 = 16x^4 + 96x^3 +216x^2 -216x + 81](https://tex.z-dn.net/?f=%282x%20-3%29%5E4%20%3D%2016x%5E4%20%20%2B%2096x%5E3%20%20%2B216x%5E2%20-216x%20%2B%2081)
Hence, the value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81
Read more about binomial expansions at:
brainly.com/question/13602562
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last one
Step-by-step explanation:
3 1/2
answer is last one
Answer:
Mia and her family went to dinner, and the bill, including tax, came to $54.65. Mia suggested giving the server a gratuity of about 20 percent of the bill.
If they give a gratuity of 20 percent, what would be the tip rounded to the nearest dollar?
✔ $11
If they give a gratuity of 20 percent, rounded to the nearest dollar, what is the total cost of the dinner, including the tip?
✔ $65.65
Step-by-step explanation: