<span>f(x)=0 at
rounded up
-4.96
-1.1
1.1</span><span>
</span>
Answer:
A (0,3)
Step-by-step explanation:
The given trapezoid has vertices:
(0,6), (7,12), (7,9) and (0,12).
We want to choose from the given options, a point that is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2.
Note that the mapping for such a dilation is:

This implies that:




Therefore correct choice is (0,3)
Answer and explanation:
We know that this is in slope-intercept form. ( y = mx + b )
1/2 would be the slope (you would use this to graph the next point)
-4 would by your y-intercept (where the line crosses the x-axis)
With this information you could graph any point using the slope given, starting at -4 (x-axis) going down or up.
Answer:
x = 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
3(4x - 5) - 4x + 1 = -6
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 3: 12x - 15 - 4x + 1 = -6
- Combine like terms: 8x - 14 = -6
- Isolate <em>x</em> term: 8x = 8
- Isolate <em>x</em>: x = 1
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 3(4(1) - 5) - 4(1) + 1 = -6
- Multiply: 3(4 - 5) - 4 + 1 = -6
- Subtract: 3(-1) - 4 + 1 = -6
- Multiply: -3 - 4 + 1 = -6
- Subtract: -7 + 1 = -6
- Add: -6 = -6
Here we see that -6 does indeed equal -6.
∴ x = 1 is the solution to the equation.
Let the hours Kade worked = X
Theo would be X - 3 ( 3 less than Kade).
Now you have:
X + X -3 = 27
Combine like terms:
2x - 3 = 27
Add 3 to each side:
2x = 30
Divide both sides by 2:
x = 15
Kade worked 15 hours.
Theo worked 12 hours.