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zlopas [31]
3 years ago
8

Is this linear relationship proportional or non-proportional? Y = 2/3 x

Mathematics
1 answer:
frez [133]3 years ago
5 0
Proportional, with a ratio or rate of change 2/3
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What divisor is represented by the synthetic division below?  –5 5 x + 5 x – 5
Tju [1.3M]
For this case, the dividend is given by:
 2x ^ 3 + 10x ^ 2 + x + 5

 We note that the following numbers:
 2, 10, 1, 5
 They are the coefficients of the polynomial and they are in the upper part of the division.
 The number -5 is the opposite value of the divisor constant.
 Therefore, the divisor is given by:
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 Answer:
 
The divisor is:
 
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4 0
3 years ago
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How many perfect cubes are there between 2 to 200 ?<br> ANSWER fast
Mekhanik [1.2K]

Answer:

Three

Step-by-step explanation:

The perfect cubes between 2 to 200 are

{3}^{3}  = 27 \\  \\  {4}^{3}  = 64 \\  \\  {5}^{3}  = 125 \\

Hence, there are only three perfect cubes 27, 64 and 125 between 2 to 200.

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3 years ago
When analyzing three linear functions, Michele noticed that they all intersected at the point (5, 3). What conclusion can Michel
xz_007 [3.2K]

Answer: option B. it has the highest y-intercept.

Explanation:

1) point -slope equation of the line

y - y₁ = m (x - x₁)

2) Replace (x₁, y₁) with the point (5,3):

y - 5 = m (x - 3)

3) Expand using distributive property and simplify:

y - 5 = mx - 3m ⇒ y = mx + 5 - 3m

4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept

⇒ slope = m

⇒ b = 5 - 3m = y - intercept.

Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.

Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).

7 0
3 years ago
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6 0
2 years ago
Find the length of the base of a square pyramid if the volume is 128 cubic inches and has a height of 6 inches
Len [333]

Answer: a = 8

Step-by-step explanation:

Volume of a square based pyramid is given as

\frac{a^{2}h }{3} .

where a is the length of the side and h is the height.

Substituting into the formula , we have

V = \frac{a^{2}h }{3}

128 = a^{2}h /3

384= a^{2} X 6

Divide through by 6

384/6 = a^{2}

64 = a^{2}

Therefore :

a = \sqrt{\frac{64}{1} }

a = 8

6 0
3 years ago
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