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3 years ago

What is the answer to the first one

Mathematics

1 answer:

Vaselesa [24]3 years ago

7 0

Answer:
(3x +1)(x+2)
Explanation:
Use the new AC method to factor trinomials
y=3x^2+7x+2=3 (x=p)(x+q)
Converted trinomial y'=x^2+7x+6=(x+p')(x+q')
Factor pair of (6)-(1,6).This sum is 7=b
Then p'=1 and q'=6.Back to y, p=1/3 and q=6/3=2
y=3 (x+1/3)(x+2)
=(3x+1)(x+2)

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What is the solution to the linear equation?

Vikki [24]

Answer:

x=-5

Step-by-step explanation:

7 0

3 years ago

There are 120 five-digit numbers that can be made from the digits 1, 2, 3, 4, 5 if each digit is used once in the number. That s

Harman [31]

Answer:

41235

Step-by-step explanation:

There are 120 five-digit numbers that can be made from the digits 1, 2, 3, 4, 5 if each digit is used once in the number,

The total number of times where each number will occur or be at first place is calculated as:

4! = 4 × 3 × 2 × 1

= 24

Hence,

24th number = The last number where 1 is at first place

We can write this out as:

12345

12354

12435

12453

12534

12543

13245

13254

13425

13452

13524

13542 e.t.c.

48th number = The last number where 2 is at first place

72nd place = The last number where 3 is at first place.

This means, the 73rd number is the first number where 4 is at first place.

Therefore, the 73rd number based on pattern is 41235

8 0

3 years ago

The ratio of Dawn to Mandy's savings is 6 : 7. The ratio of Mandy to Belle's savings is 2 : 3. Find the ratio of Dawn to Belle's

Mila [183]

The savings are illustrations of ratio, and the ratio of Dawn to Belle's savings in the simplest ratio is 4 : 7

<h3>How to determine the ratio?</h3>

The given ratios are:

Dawn : Mandy = 6 : 7

Mandy : Belle = 2 : 3

Multiply the second ratio by 3.5.

So, we have:

Mandy : Belle = 2 * 3.5 : 3 * 3.5

Evaluate

Mandy : Belle = 7 : 10.5

So, we have:

Dawn : Mandy = 6 : 7

Mandy : Belle = 7 : 10.5

Mandy's ratios in both equation are the same.

So, we have:

Dawn : Mandy : Belle = 6 : 7 : 10.5

Remove Mandy's ratio

Dawn : Belle = 6 : 10.5

Simplify

Dawn : Belle = 4 : 7

Hence, the ratio of Dawn to Belle's savings is 4 : 7