Answer: 
<u>Step-by-step explanation:</u>
P(x) = x⁴ - 3x² + 4x + 5
g(x) = x² + 5
<u>_x²_- 8 </u>
x² + 5) x⁴ + 0x³ - 3x² + 4x + 5
-<u>(x⁴ + 0x³ + 5x²) </u> ↓ ↓
-8x² + 4x + 5
-<u>(-8x² + 0x - 40)</u>
4x + 45
Answer:
(1) Please find attached the graph of the data
(2) 160.396 m
(3) The correlation that exist is a straight line correlation
Step-by-step explanation:
The given data are;
Distance, Time
(m), (s)
50, 6.1
100, 12
150, 18.3
200, 25.2
250, 31.7
(2)
Based on the linear regression formula, we have;
The line is
y = 7.7581×x+5.234
When t = 20 s, we have
y = 7.7581*20+5.234 = 160.396 m
(3) The correlation that exist is a straight line correlation
Due to the nature of spheres, they are all similar to each other.
Answer: See attached, the top right
Step-by-step explanation:
<u>What is an outlier?</u> An outlier, in a data set, is a data value that is outside the overall pattern of distribution.
This means the answer to your question is the top right because the data value of 13 is outside the overall pattern, hence an outlier.
Inequality, in mathematics, statement that a mathematical expression is less than or greater than some other expression; an inequality is not as specific as an equation<span>equation,
in mathematics, a statement, usually written in symbols, that states the equality of two quantities or algebraic expressions, e.g., x+3=5. The quantity x
..... <span>Click the link for more information.</span> </span>, but it does contain information about the expressions involved. The symbols < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to) are used in place of the equals sign in expressions of inequalities. As in the case of equations, inequalities can be transformed in various ways. The direction of the inequality remains unchanged if some number is added to both sides or subtracted from both sides or if both sides are multiplied or divided by some positive number; e.g., subtracting 10 from both sides of the inequality x < 8 gives x − 10 < −2, and multiplying the inequality by 2 gives 2x < 16. Multiplication or division by a negative number reverses the sign of the inequality; e.g., if −2x < 8, then dividing both sides by −2 results in the inequality x > <span>−4.</span>
