2(4x-3) ≥ - 3(3x) + 5x
2* 4x - 2*3 ≥ - 9x + 5x
8 x - 6 ≥ -4x
8 x + 4 x ≥ 6
12 x ≥ 6
x = 6/12 divide 6/6 = 1 and 12 / 6 = 2
x = 1/2
hope this helps!
Answer:
i believe its 9.09
Step-by-step explanation:
i did this problem 3 different ways
first i put it all in a calculator and got 9.09
then i did 0.81/0.09 = 9+ 0.81 = 9.81/9 = 1.09
finally i did 0.81/0.09 = 9 0.81/9 = 0.09
9+ 0.09 = 9.09
therefore 9.09 is what i believe the answer is
i hope this helps you!
Answer:
V = 785 cm³
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume of a Cylinder Formula: V = πr²h
- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables.</em>
<em>r</em> = 5 cm
<em>h</em> = 10 cm
<u>Step 2: Find Volume</u>
- Substitute in variables [Volume of a Cylinder Formula]: V = (3.14)(5 cm)²(10 cm)
- [Order of Operations] Evaluate: V = 785 cm³
An x-intercept is the point where the function passes the x axis at y=0.
The y-intercept is the point where the function crosses the y axis at x=0
1. It is an x-intercept, so y = 0. The ordered pair would be (-6, 0)
2. It is a y-intercept, so x = 0. The ordered pair would be (0, -2.3)
3. It is a y-intercept, so x=0. The ordered pair would be (0, 3/4)
To find the x-intercept, set y = 0. To find the y-intercept, set x=0
4. y-intercept: y = 3(0) -9. y = -9 The y-intercept is at (0, -9)
x-intercept: 0 = 3x -9. 9 = 3x. x = 3. The x-intercept is at (3, 0)
5. x intercept: 0 = 5x +10. -10 = 5x. x = -2. The x-intercept is at (-2, 0)
y-intercept: y = 5(0) + 10. y = 10. The y-intercept is at (0, 10)
If you look at finding the y-intercepts in the two problems above, you may see there is a pattern forming. The y-intercept is the number that your adding or subtracting that is located after the x (ex. y = 4x - 2 - the y-intercept would be -2)
9. First, find the x and y-intercepts. The y intercept is -3 You’d graph that at (0, -3). 0 = -1/2x - 3. -1/2x = 3. x = -6 so the x-intercept is at (-6, 0). If you only need to graph 2 points, then you can graph just those two points and draw a line between them.
To graph y=-1/2x + 3, start at the y-intercept and use the slope (-1/2) to find other points. Because your slope is -1/2, you’d go down 1 unit and then to the right 2 units. That would be your next point. If you wanted your line to go further up, go up one unit and then to the left 2 units. That would be your next point.
I am not sure what you need to do on 11 and 12
I think you should try 7, 8 and 10 on your own and let me know if you have any questions on them or if you are stuck on anything.
Answer:
Mike can go 124 miles
Step-by-step explanation:
Car rent = $29.20
However, a customer has to pay $0.20 for every mile.
Mike has $54 to spend on the car for a day.
If he pays the car rent which is $29.20, then he has
$54 - $29.20 = $24.80 remaining
1 mile = $0.20
x miles = $24.80
By cross multiplication
0.20x = 1 * 24.80
x = 24.80/0.20
x = 124 miles
