Answer:
a. x = -9 or x = -2
b. -5(x - 4)
c. x = -3 or x = 5
d. x = ±7
Step-by-step explanation:
a. First person;
y = x² + 11x + 18
y = x² + 9x + 2x + 18
y = x(x + 9) + 2(x + 9)
y = (x + 9)(x + 2)
y = x = -9 or x = -2
b. Second person;
y = -5x + 20
The common factor is 5.
y = -5(x - 4)
c. Third person;
y = x² - 2x - 15
y = x² - 5x + 3x - 15
y = x(x - 5) + 3(x - 5)
y = (x + 3)(x - 5)
y = x = -3 or x = 5
d. Fourth person;
y = x² - 49
Applying the difference of squares formula;
(a² - b²) = (a - b)(a + b)
y = x² - 49 = x² - 7² = (x - 7)(x + 7)
y = (x - 7)(x + 7)
y = x = ±7
<span>Definition: The number of square units it takes to exactly fill a sector of a circle.
Do you want the exact equation? arc length is </span>Area= rl/2 and arc length is the same as sector area
<span>a) Yes, because the total will be $48
hope i helped</span>
Answer:
Choice 2.
Step-by-step explanation: do 3x^2+10x-8, distribute AC -(15x+4), and you would get -15x-4. Combine like terms, and get 3x^2-5x-12
Answer:
Hence, the set that represent a negative linear association between x and y is:
Set A.
Step-by-step explanation:
We are given 4 sets of data as:
<u>Set A </u>
x 1 2 3 4 5 6 7 8 9
y 10 9 8 7 6 5 4 3 2
<u>Set B </u>
x 1 2 3 4 5 6 7 8 9
y 3 4 5 6 7 8 9 10 11
<u>Set C </u>
x 1 2 3 4 5 6 7 8 9
y 8 6 5 4 3.5 3 2.5 2 2
<u>Set D </u>
x 1 2 3 4 5 6 7 8 9
y 1 2.5 2.5 3 4 5 6 8 9
We are asked to determine the set which represent negative linear association between x and y?
- Clearly in Set B and Set D the values of y keeps on increasing as the value of x increases; hence they both represent a positive linear association between x and y.
- In set C the relationship is non-linear though it is negative.
- Clearly in Set A we could see that the the y is related to x as:
y=11-x or y= -x+11.
Hence, clearly we could see that the relationship is linear and also negative as the value of y keeps on decreasing with increasing x.
Hence, the set that represent a negative linear association between x and y is:
Set A.