An equation written in slope-intercept form is y=mx+b, where m is a constant equal to the slope. Parallel lines have the same slope. So a line parallel to y=-2x+3 is y=-2x+5. Perpendicular lines have slopes which are negative reciprocals of each other. So a line perpendicular to y=-2x+3 is y=1/2x+7. y=2x-1 is neither parallel of perpendicular to y=-2x+3.
1 / 5^-2
First, let's work out the denominator.
5^ -2 = 1/25. When an exponent is negative, it means to put a 1 over the product. Like we did earlier.
Now we have 1 / (1/25).
1 / (1/25)
Divide 1 by 25.
1 / 0.04
Divide 1 by 0.04
25
The answer is 25!
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Answer:
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
3 T + 4 B =425
T + B = 125
Where T is the number of tacos sold, and B is the number of burritos sold.
Multiplying the second equation by 3, and subtracting it to the first equation:
3 T + 4 B =425
3T + 3B = 375
___________
B =50
Replacing B in any equation:
T + B = 125
T +50 =125
T =125-50
T = 75
Feel free to ask for more if needed or if you did not understand something.
Answer:
f(-5) = -81
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = -x² + 10x - 6
f(-5) is x = -5
<u>Step 2: Evaluate</u>
- Substitute: f(-5) = -(-5)² + 10(-5) - 6
- Exponents: f(-5) = -(25) + 10(-5) - 6
- Multiply: f(-5) = -25 - 50 - 6
- Subtract: f(-5) = -75 - 6
- Subtract: f(-5) = -81
