Answer:
1.5
Step-by-step explanation:
Note there is a common ratio between consecutive terms, that is
768 ÷ 1536 = 0.5
384 ÷ 768 = 0.5
192 ÷ 384 = 0.5
96 ÷ 192 = 0.5
This indicates that the terms form a geometric sequence with
= a
where a is the first term and r the common ratio
Here a = 1536 and r = 0.5, thus
= 1536 × 
= 1.5
Answer:
gradient = - 
, y- intercept = 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + 4y = 5 ( subtract 3x from both sides )
4y = - 3x + 5 ( divide terms by 4 )
y = - x + ← in slope- intercept form
with slope m = - and y- intercept c =
The perimeter of the rectangle based on the factors given is 46.
<h3>How to calculate the perimeter?</h3>
The area of the rectangle is given as (x² + 13x - 90). This will be:
= (x² + 13x - 90)
= x² + 18x - 5x - 90
= x(x + 18) - 5(x + 18)
= (x - 5)(x + 18)
The sides of the rectangle are 5 and 18. The perimeter will be:
= 2(l + w)
= 2(5 + 18)
= 46
The area of the rectangle is given as (x² + 24x - 81.
= (x² + 24x - 81)
= x² + 27x - 3x - 81
= x(x + 27) - 3(x + 27)
= (x - 3)(x + 27)
The sides are 3 and 27. The perimeter will be:
= 2(l + w)
= 2(27 + 3)
= 60
= (x + 1)² + 3(x + 1) + 2
= (x + 1)(x + 1) + 3x + 3 + 2
= x² + x + x + 1 + 3x + 5
= x² + 5x + 6
Learn more about factors on:
brainly.com/question/219464
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Using the data presented in the problem, you are asked to
predict the probability that future customers will cancel their preorders. To find
the probability, you have to divide the number of people who cancelled their
preorders by the total number of people who preordered.
35 people / 140 people = .25 or 25% probability that the
future customers will cancel their preorders.
Divide 14 by 25. Then you should get a decimal number. take the decimal number and multiply by 100 and done!
