Answer:
5000
Step-by-step explanation:
Equation of a parabola is given by
y = ax^2 + bx + c
From the given points
-16 = a(-2)^2 + b(-2) + c = 4a - 2b + c . . . (1)
4 = a(0)^2 + b(0) + c = c . . . (2)
-28 = a(4)^2 + b(4) + c = 16a + 4b + c . . . (3)
Putting (2) into (1) and (2) gives:
4a - 2b + 4 = -16
4a - 2b = -20 . . . (4)
16a + 4b + 4 = -28
16a + 4b = -32 . . . (5)
(4) x 4 => 16a - 8b = -80 . . . (6)
(5) - (6) => 12b = 48
b = 48/12 = 4
From (4), 4a - 2(4) = -20
4a = -20 + 8 = -12
a = -12/4 = -3
Therefore, the required polynomial is
y = -3x^2 + 4x + 4
Answer:
z < 5.28
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
Step-by-step explanation:
<u>Step 1: Define</u>
14.3 > 5(z - 2) - 2.1
<u>Step 2: Solve for </u><em><u>z</u></em>
- Distribute 5: 14.3 > 5z - 10 - 2.1
- Subtract: 14.3 > 5z - 12.1
- Add 12.1 on both sides: 26.4 > 5z
- Divide 5 on both sides: 5.28 > z
- Rewrite: z < 5.28
Here we see that any value <em>z </em>smaller than 5.28 would work as a solution to the inequality.
Given:
A line passes through the points (4,2) and (-16, -10).
To find:
The slope of the line.
Solution:
Slope Formula:
A line passes through the points (4,2) and (-16, -10). So, slope of the line is
Therefore, the slope of the line is 
.
X= -20
48=8-2x
Subtract 8 from both sides.
40=-2x
Divide both sides by -2.
X=-20
