Answer:
<em>2.8 + 27.44k</em>
Step-by-step explanation:
<u>Algebraic Simplification</u>
The rules of algebra can be applied in some situations to make expressions simplified or expanded, according to the specific needs of each problem.
We are given the expression:
(1 + 9.8k)(2.8)
It's a sum and a product. We cannot add the independent term with the variable term, so we can only multiply the factor and the contents of the parentheses as follows:
(2.8)1 + (2.8)9.8k
Operating:
2.8 + 27.44k
Answer:
66 coolers
Step-by-step explanation:
C = 0.005x² - 0.3x + 17
When C = $19
19 = 0.005x² - 0.3x + 17
19 - 17 = 0.005x² - 0.3x
2 = 0.005x² - 0.3x
0.005x² - 0.3x - 2 = 0
x = -b ± √b² - 4ac / 2a
= -(-0.3) ± √-0.3² - 4*0.005*-2 / 2*0.005
= 0.3 ± √ 0.09 - (-0.04) / 0.01
= 0.3 ± √ 0.09 + 0.04 / 0.01
= 0.3 ± √ 0.13 / 0.01
= 0.3/0.01 ± √0.13/0.01
= 30 ± 0.36/0.01
x = 30 ± 36
x = 30 + 36 or 30 - 36
x = 66 or -6
Number of coolers can not be negative
Therefore, number of coolers produced when the cost is $19
is 66 coolers
Answer:
Step-by-step explanation:
<u>Use the Pythagorean Theorem</u>
The equation for the Pythagorean Theorem is 
* a and b are the lengths of the legs, and c is the hypotenuse.*
(To know which side is the hypotenuse look at longest side which is across the right angle).
a= x, b=8, c=9
Let's Plug in the side lengths:
Evaluate 8^2 and 9^2:
Subtract 64 from both sides:
Take the square root of both sides:
___________________________
Answer:
See below
Step-by-step explanation:
r=0 means there is zero correlation between the independent and dependent variables. Most likely, some other regression model will help to bring the value of r closer to -1 or 1 to show a strong correlation.
