5x-6 is equivalent. This is because 2 (x-1) becomes 2x-2, which makes the expression 3x+2x-2-4, which when put all together becomes 5x-6.
Answer:
(a) The least-square regression line is: 
.
(b) The number of households using online banking at the beginning of 2007 is 31.8.
Step-by-step explanation:
The general form of a least square regression line is:
Here,
<em>y</em> = dependent variable
<em>x</em> = independent variable
<em>α</em> = intercept
<em>β</em> = slope
(a)
The formula to compute intercept and slope is:
The values of ∑<em>X</em>, ∑<em>Y</em>, ∑<em>XY</em> and ∑<em>X</em>² are computed in the table below.
Compute the value of intercept and slope as follows:
The least-square regression line is:
(b)
For the year 2007 the value of <em>x</em> is 10.
Compute the value of <em>y</em> for <em>x</em> = 10 as follows:
Thus, the number of households using online banking at the beginning of 2007 is 31.8.
Step-by-step explanation:
7 X + 8 = X+12 + 3X+20
3 X = 24
X= 8
m< RPQ = 8+12 = 20
Some primitive triples are ...
(3, 4, 5)
(5, 12, 13)
(7, 24, 25)
(9, 40, 41)
One interesting characteristic of these is that the sum of the last two numbers is the square of the first number.
Any multiple of these will be a Pythagorean triple.
Now consider your list.
a) (10, 24, 26) = 2×(5, 12, 13) . . . IS a Pythagorean Triple
b) 2×(7, 24, 25) = (14, 48, 50), so (14, 48, 49) is NOT a Pythagorean Triple
c) 3×(3, 4, 5) = (9, 12, 15), so (9, 12, 16) is NOT a Pythagorean Triple
d) (9, 40, 41) . . . IS a Pythagorean Triple
e) 5×(3, 4, 5) = (15, 20, 25) . . . IS a Pythagorean Triple
The sets of side lengths that are Pythagorean Triples are ...
(10, 24, 26)
(9, 40, 41)
(15, 20, 25)
Answer:
- Sequon has more money after 4 weeks.
- It would take 5 weeks for their savings accounts to be equal.
Step-by-step explanation:
Daniel
Daniel starts with $50 and each week he adds $8. To find out the amount he has in any given week, the following formula would work:
= 50 + 8x
The x is the number of weeks and is multiplied by 8 because the amount of money he has increase by 8 every week.
After 4 weeks he would have:
= 50 + (8 * 4)
= 50 + 32
= $82
Saquon
Applying the same formula:
= 65 + 5x
After 4 weeks:
= 65 + (5 * 4)
= 65 + 20
= $85
Saquon has more money after 4 weeks.
<u>Number of weeks it would take for both of them to have the same amount.</u>
To find this out, equate both formulas and solve for x.
50 + 8x = 65 + 5x
8x - 5x = 65 - 50
3x = 15
x = 15/3
x = 5 weeks
<em>At 5 weeks they will both have:</em>
<em>50 + 8 * 5 = $90</em>
<em>65 + 5 * 5 = $90</em>
