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S_A_V [24]
4 years ago
15

Can somebody help me with all three problems please

Mathematics
1 answer:
Lerok [7]4 years ago
8 0

1. x^{2} -10x +25 = 0

These two numbers are: -5 and -5

-5 + (-5) = -10

-5 * -5 = 25

so...

(x - 5)(x - 5)

To find the roots set the factored numbers equal to zero and solve for x:

x - 5 = 0

x = 5

2. x^{2} + 9x = -14

This equation needs to be equal to zero, so bring -14 to the other side by adding 14 to both sides

x^{2}+9x+14 =0

Find two numbers that the sum is equal to 9 AND the multiplication of the numbers is 14

These numbers are 7 and 2

7 + 2 = 9

7*2 = 14

so...

(x + 2) (x + 7)

To find the roots set the each of the factored numbers equal to zero and solve for x:

x + 2 = 0

x = -2

x + 7 = 0

x = -7

3. 3x^{2} = 6x

This equation needs to be equal to zero, so bring 6x to the other side by subtracting 6x to both sides

3x^{2} -6x = 0

In this equation you can factor out a 3 and an x:

3x (x - 2)

To find the roots set the each of the factored numbers equal to zero and solve for x:

3x = 0

3x/3 = 0/3

x = 0

x - 2 = 0

x = 2

Hope this helped!

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There are 16 people in a running race. The first 3 people to finish the race will he given prizes. How many different ways can t
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Answer : 3, 360 ways

Total number of people running the race = 16

We have three slot to be filled for first, second and third

Any person can take the first position irrespective of the arrangement

one out of the 16 people can come first

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7 0
1 year ago
Molly is making Strawberry infused water for each ounce of strawberry juice she uses three times as many ounces of water she wan
snow_tiger [21]

Answer:

The Total of <u>16 ounces</u> of Strawberry juice and <u>48 ounces</u> of water is used for making 64 ounces of Strawberry infused water.

Step-by-step explanation:

Let the amount of Strawberry juice in ounces be 'j'

Let the amount of water in ounce be 'w'

Given:

For each ounce of strawberry juice she uses three times as many ounces of water.

It means that amount of water in ounce is 3 times of amount of strawberry juice in ounce.

framing the equation we get;

w=3j

Now we need how many ounces of strawberry juice and how many ounces of water does she need to make 64 ounces of strawberry infused water.

We know that Total Strawberry infused water is equal to sum of amount of Strawberry juice in ounces and the amount of water in ounces

Framing in equation form we get;

j+w=64

But we know w=3j

hence,

j+3j= 64\\\\4j=64\\\\j=\frac{64}{4} = 16 \ ounces

Hence amount of Strawberry juice = 16 ounces

Amount of water = 3j = 3\times16 =48 \ ounces

Hence The Total of <u>16 ounces</u> of Strawberry juice and <u>48 ounces</u> of water is used for making 64 ounces of Strawberry infused water.

5 0
3 years ago
Can someone help me
Sever21 [200]
The correct answer is x^2-6x+8
4 0
3 years ago
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