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Licemer1 [7]
3 years ago
15

Is the gcf os a pair of numbers ever greater than both numbers ? explain with an example.

Mathematics
2 answers:
Ahat [919]3 years ago
6 0
The gcf of numbers can never be greater than both numbers, because in order to be a gcf, it must be a factor that both numbers have, so if one number does not have that then it is not a gcf.
VARVARA [1.3K]3 years ago
4 0

Answer:

No, G.C.F. of pair of numbers can never be greater than both numbers.

Step-by-step explanation:

G.C.F. (Greatest Common Factor) of pair of numbers is defined as the greatest factor of both the number that exactly divides both numbers.

For Example: G.C.F. of 14 and 21 =

36 = 2 × 2 × 3 × 3

48 = 2 × 2 × 2 × 2 × 3

Common Factors of 36 and 48 = 2 × 2 × 3 = 12

∴ G.C.F. = 12

As, we see that G.C.F. is factor of given number. So, it can never be greater than given numbers.

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Evaluate the function rule to find the range of each function for the domain.
aev [14]
F(x) = x^2 - 6x + 4               {-3, 0, 5}   (x, y) x is the domain, y is the range.

plug in the domain numbers into the equation to find the range.

y = x^2 - 6x + 4
y = -3^2 - 6(-3) + 4
y = 9 - (-18) + 4
y = 9 + 18 + 4
y = 31                        (-3, 31)

y = x^2 - 6x + 4
y = 0^2 - 6(0) + 4
y = 0 - 0 + 4
y = 4                       (0, 4)

y = x^2 - 6x + 4
y = 5^2 - 6(5) + 4
y = 25 - 30 + 4
y = -1                       (5, -1)

c. {-1, 4, 31}

hope this helped, God bless!
5 0
3 years ago
You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(1 on green die an
navik [9.2K]

Answer:

1) yes ; 2) 1/36 ; 3) 1/36 ; 4) 1/18

Step-by-step explanation:

Given the following :

Two fair dice : 1 green ; 1 red

A) Are the outcomes on the dice independent:

Yes, becomes the outcome of the green dice does not have any effect on the outcome of the red dice.

B) Find P(1 on green die and 5 on red die).

Probability = (number of required outcome) / (total possible outcomes)

Total outcomes of a dice = 6

P(1 on green) = 1 / 6

P(5 on red) = 1/6

P(1 on green die and 5 on red die) :

(1/ 6) × (1/6) = 1/36

C) Find P(5 on green die and 1 on red die)

P(5 on green) = 1/6

P(1 on red) = 1/6

Find P(5 on green die and 1 on red die):

1/6 × 1/6 = 1/36

D) Find P((1 on green die and 5 on red die) or (5 on green die and 1 on red die))

P(5 on green die and 1 on red die) = 1/36

P(1 on green die and 5 on red die) = 1/36

P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) =

P(5 on green die and 1 on red die) + P(1 on green die and 5 on red die)

= (1/36 + 1/36) = 2 /36 = 1/18

8 0
3 years ago
A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated
zysi [14]
Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)
8 0
3 years ago
PLZ HELP ASAP
svet-max [94.6K]
Answer is D:
e + 5 = 3e - 11

2e = 16
e = 8

Ella is 8 years old
Jamie is 8+5 = 13 years old
6 0
3 years ago
Answer this question pls!! (Will give Brainliest)
kvasek [131]
ANSWER:
22
(All you’re doing is plugging in the values into the formula)

4 0
3 years ago
Read 2 more answers
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