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aksik [14]
3 years ago
6

Which is a factor of 45x^4−5x^2? Show work.a. 5x+2 b. 9x−1 c. 6x+5 d. 3x−1

Mathematics
1 answer:
Lelu [443]3 years ago
7 0

Answer:

d. 3x - 1.

Step-by-step explanation:

45x^4−5x^2

The GCF is 5x^2 so we have:

5x^2(9x^2 - 1)

The expression in the parentheses is the difference of 2 squares so:

= 5x^2(3x - 1)(3x + 1)

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3 years ago
Emma had 10 Balls in a bag. The balls were numbers 1 through 10. She wanted to test the probability of drawing a ball that is a
Goryan [66]

Answer:

  • 30%
  • Unlikely

Step-by-step explanation:

<u>The balls - multiples of 3 are:</u>

  • 3, 6 and 9

<u>The probability of a multiple of 3 is:</u>

  • 3 out of 10 or
  • P = 3/10 = 30%

30% probability is in the range 0%-50% so this event is unlikely

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3 years ago
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Find the unit rate.<br> 1/3 kilograms : 2/3 foot.
Darya [45]

Answer:

0.5kg per foot

Step-by-step explanation:

1/3 : 2/3

1 : 2

1 kg is 2 feet

0.5 kg/foot

5 0
3 years ago
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The number of students in the period 7 study hall at jin's school is 4 times the number of students in jin's home room. how many
k0ka [10]
1/4 the students in study hall (per 7) = 16

16*4 = 64 students in study hall.

<span>Hope I helped! (Pick my answer as brainliest!)</span>
5 0
3 years ago
Solve.<br><br> −7x = x2 + 12
adelina 88 [10]

Answer:

x = - 4 , x = - 3

Step-by-step explanation:

- 7x = x^2 + 12

Take all terms to one side of equation.

x^2 + 7x + 12 = 0

Find which 2 numbers multiply to give 12 and add to give 7.

a × b = 12

a + b = 7

a = 4

b = 3

Split the middle term using these 2 numbers.

x^2 + 4x + 3x + 12 = 0

Factorise each pair of terms separately.

x ( x + 4 ) + 3 ( x + 4 ) = 0

Bring out common factor of ( x + 4 ) and factorise.

( x + 4 ) ( x + 3 ) = 0

Using the Null factor law, make the expressions in each pair of parentheses equal 0.

x + 4 = 0

x = - 4

AND

x + 3 = 0

x = - 3

THEREFORE:

x = - 4 , x = - 3

5 0
3 years ago
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