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VikaD [51]
2 years ago
10

40 points. Factor the following polynomial.

Mathematics
1 answer:
madam [21]2 years ago
3 0

Answer:

A

Step-by-step explanation:

49y² - x² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

49y² - x²

= (7y)² - x²

= (7y - x )(7y + x) → A

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The mean sustained wind velocity, v, can be determined by the equation , where p is the air pressure, in millibars, at the cente
inn [45]

The mean sustained wind velocity has the equation:

v = 6.3 √(1013 - p)


If we are given with the mean sustained wind velocity of 64 m/s, then we can solve for the air pressure using the equation:

64 = 6.3 √(1013 - p)

64/6.3 = √(1013 - p)

10.1587² = 1013 - p

p = 910 millibars


hope this helps!!!!!!!!!!!!


8 0
3 years ago
Read 2 more answers
Rico thinks it's a perfect square triinomiall. Teresa says it's the difference of two squares. Who is
Naya [18.7K]

Answer: Rico is right.

(-1)(3x + 5)²

Step-by-step explanation: If it were the difference of two squares, the -30x would not be there.

It makes sense to factor out (-1) fry the trinomial, leaving all positive terms.

Then factor 9x² + 30x + 25 as

(3x + 5)²

7 0
2 years ago
How many math books and English books did Nicole purchase?
Ksju [112]
Create a system if equations to solve this.

First equation:
25m + 24e = 220

Second equation:
m + e = 9

Then you must solve the second equation for a variable.

Change m + e = 9 to e = 9 - m.

Then substitute (9 - m) for e in the first equation.

So 25m +24e = 220 becomes 25m + 24(9 - m) = 220.

Now you can solve the first equation because the only variable in it is m.

25m + 24(9 - m) = 220 (Original equation)
25m + 216 - 24m = 220 (Distribute)
m + 216 = 220 (Combine like terms)
m = 4 (Simplify)

Now plug in 4 for m in the second equation.

m + e = 9 (Original equation)
(4) + e = 9 (Substitute)
e = 5 (Simplify)

m represents Math Books and e represents English Books, so Nicole purchased 4 Math Books and 5 English Books.
6 0
3 years ago
Y = -3x + 11<br> y = -6x - 13
Marysya12 [62]

Answer:

x= -8 and so y=35.....solving equation

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
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