Answer:
Option d: {d | d ≤ 6} is the correct answer
Step-by-step explanation:
Given inequality is:
![3(2d-1)\geq 4(2d-3)-3\\Expanding the terms\\6d-3 \geq 8d-12-3\\6d-3 \geq 8d-15\\Adding\ 3\ to\ both]\ sides\\6d-3+3\geq 8d-15+3\\6d\geq 8d-12\\Subtracting\ 8d\ from\ both\ sides\\6d-8d \geq 8d-12-8d\\-2d\geq -12\\Multiplying\ both\ sides\ by\ -1\\2d\leq 12\\Dividing\ both\ sides\ by\ 2\\d \leq 6](https://tex.z-dn.net/?f=3%282d-1%29%5Cgeq%204%282d-3%29-3%5C%5CExpanding%20the%20terms%5C%5C6d-3%20%5Cgeq%208d-12-3%5C%5C6d-3%20%5Cgeq%208d-15%5C%5CAdding%5C%203%5C%20to%5C%20both%5D%5C%20sides%5C%5C6d-3%2B3%5Cgeq%208d-15%2B3%5C%5C6d%5Cgeq%208d-12%5C%5CSubtracting%5C%208d%5C%20from%5C%20both%5C%20sides%5C%5C6d-8d%20%5Cgeq%208d-12-8d%5C%5C-2d%5Cgeq%20-12%5C%5CMultiplying%5C%20both%5C%20sides%5C%20by%5C%20-1%5C%5C2d%5Cleq%2012%5C%5CDividing%5C%20both%5C%20sides%5C%20by%5C%202%5C%5Cd%20%5Cleq%206)
Hence, option d: {d | d ≤ 6} is the correct answer ..
Oh first is b an the second h
Answer:
<h3>5x+10y=100</h3>
Step-by-step explanation:
X+Y = 15
<h3>Sum of two types of question is 15</h3>
x+y-x = -x+15
<h3>y= -x+15</h3>
5(x)+10(y)=100
5x+10y=100
<h3>Total no. if points is 100</h3>
5x+10y-5x=-5x+100
10y= -5x+100
y=5/10x + 100/10
y= -1/2x+10
<h3>Slope intercept form</h3>
(10,5)
Let's call the short side "s"
short side = "s"
middle side = 3s
longest side = 2*3*s
perimeter = 45 cm
perimeter = s + 3s + 6s = 45
short side = 4.5
middle = 13.5
long side = 27
4.5 + 13.5 + 27 = 45
Answer:
f(2) = 1/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2/3x - 1
x = 2
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: f(2) = 2/3(2) - 1
- Multiply: f(2) = 4/3 - 1
- Subtract: f(2) = 1/3