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2 years ago

1.) 45r^3-15r^2 Factoring 2.) 9x^2-3x 3.) X^2+3x

Mathematics

1 answer:

Snowcat [4.5K]2 years ago

4 0

NOTES: Find the common factor of the terms and factor it out:

1. Answer: 15r²(3r - 1)

Step-by-step explanation:

45r³ - 15r² they both have 15 and r² as factors

$15r^2\bigg(\dfrac{45r^3}{15r^2}-\dfrac{15r^2}{15r^2}\bigg)$

= 15r²(3r - 1)

************************************************************************************

2. Answer: 3x(3x - 1)

Step-by-step explanation:

9x² - 3x they both have 13 and x as factors

$3x\bigg(\dfrac{9x^2}{3x}-\dfrac{3x}{3x}\bigg)$

= 3x (3x - 1)

************************************************************************************

3. Answer: x(x + 3)

Step-by-step explanation:

x² + 3x they both have x as a factor

$x\bigg(\dfrac{x^2}{x}+\dfrac{3x}{x}\bigg)$

= x(x + 3)

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

24X58-9=1,383

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Step-by-step explanation:

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1 year ago

What percent of 120 is 7.8?

lora16 [44]

Answer:

6.5%

Step-by-step explanation:

Is means equals and of means multiply

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2 years ago

In RSM camp, there are four counselors for every fifty seven students and three teachers for every five counselors.

Ray Of Light [21]

Answer:

Students : Counselors : Teachers = 285: 20 : 12

Step-by-step explanation:

In the camp, the ratio of:

( C: S ) Counselors : Students is 4 : 57

( T: C ) Teachers : Counselors is 3 : 5

To determine the ratio of - Students : Counselors : Teachers

Here given - C : S = 4 : 57

Multiplying both sides by 5, we get

C: S = 4 x 5 : 57 x 5 = 20 : 285

So, for every 20 counselors, there are 285 students ...... (1)

Similarly, given Teachers : Counselors is 3 : 5

Multiplying both sides by 4, we get

T : C = 3 x 4 : 5 x 4 = 12 : 20

So, for every 12 teachers, there are 20 Counselors ...... (2)

Hence, in both equation 1 and 2 the number of counselors is same = 20 .

Hence, both the ratios acne be combined.

So we get C : S = 20 : 285 and T : C = 12: 20

Inverting the values

⇒ S : C = 285 : 20 and C : T = 20 : 12

or, S : C : T = 285: 20 : 12

or, Students : Counselors : Teachers = 285: 20 : 12

Hence, for every 285 students there are 20 counselors and 12 teachers.

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3 years ago

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olga nikolaevna [1]

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3 years ago

1.) 45r^3-15r^2 *Factoring* 2.) 9x^2-3x 3.) X^2+3x

1.) 45r^3-15r^2 Factoring 2.) 9x^2-3x 3.) X^2+3x