Answer: If I remember correctly, the answer should be <em>y=-2(3)^x. </em>
Answer:
1. y = -2x + 5
2. y = 3/5x + 5
3. y = -4/5x - 4
4. y = - 1
5. yes
6. yes
7. yes
8. no
Step-by-step explanation:
1. (4,-3) parallel to y= -2x
-3 = -2(4)+b
b=5
2. (-5,2) parallel to y = 3/5x
2= 3/5(-5)+b
b=5
3. (-5,0) -4/5x
0 = -4/5(-5)+b
b = -4
4. (-4,-1)
y= -1
5. yes
6. yes
7. yes
8. no
- Same slope = parallel ex. y = -5x +7, y = -5x +12
- opposite reciprocal = perpendicular ex. y = -5x +7, y = 1/5x + 12
- to find "b" with slope and point
(x,y) y = mx + b
plug in the y value and x value in the eqaution and m=slope, solve for b
Call the width of the rectangle x. Call the length of the rectangle x + 2. The area of the rectangle would be the length times the width. We know this is 15 square inches. Set up the equation and solve for x.
(x +2)x = 15
x2 + 2x = 15
x2 + 2x - 15 = 0
Factor the quadratic equation:
(x - 3)(x + 5) = 0
x = 3 or x = -5
Since length can't be negative, discard the answer -5.
If x = 3, then the width is 3 and the length is x + 2 or 5. 5 x 3 = 15 which equals the area.
Answer:
5
Step-by-step explanation:
45 divided by 9 is 5
Answer:
k = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
2(k - 5) + 3k = k + 6
<u>Step 2: Solve for </u><em><u>k</u></em>
- Distribute 2: 2k - 10 + 3k = k + 6
- Combine like terms: 5k - 10 = k + 6
- Subtract <em>k</em> on both sides: 4k - 10 = 6
- Add 10 on both sides: 4k = 16
- Divide 4 on both sides: k = 4
<u>Step 3: Check</u>
<em>Plug in k into the original equation to verify it's a solution.</em>
- Substitute in <em>k</em>: 2(4 - 5) + 3(4) = 4 + 6
- (Parenthesis) Subtract: 2(-1) + 3(4) = 4 + 6
- Multiply: -2 + 12 = 4 + 6
- Add: 10 = 10
Here we see that 10 does indeed equal 10.
∴ k = 4 is the solution to the equation.
