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3 years ago

13

What are the roots of x in - 10x2 + 12x - 9 = 0?

2 answers:

Leya [2.2K]3 years ago

8 0

Answer:

Thus, The two roots of the given quadratic equation are : x = 0.5225 or x = -1.7225

Step-by-step explanation:

The quadratic equation is given to be :

10x² + 12x - 9 = 0

A = 10 , B = 12 , C = 9

Now, using the discriminant rule :

$x=\frac{-B\pm\sqrt{B^2-4AC}}{2A}\\\\\implies x=\frac{-12\pm\sqrt{144+360}}{20}\\\\ \implies x =\frac{-12\pm 22.45}{20}$

So, x = 0.5225 or x = -1.7225

Thus, The two roots of the given quadratic equation are : x = 0.5225 or x = -1.7225

ivann1987 [24]3 years ago

3 0

SORRY FOR CUTTING AND HANDWRITING

HOPE THIS WILL HELP YOU

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Please don’t just comment for points

masha68 [24]

1. no because 2x+10 is not equal to 2x+7
2. no. you cant add una like terms so 4x+4 doesn’t equal 8x
3. yes. the terms still retain their same value although they are not in the same order
4. yes. when u distribute the -3, you get -3x-6 which is of course equal to -3x-6

7 0

3 years ago

2. Find the common difference and the recursive formula. a. 22, 19, 16, 13, …

Musya8 [376]

Answer:

The common difference d is d = -3

The recursive formula is: $\mathbf{a_n=a_{n-1}-3}$

Step-by-step explanation:

We need to find the common difference and the recursive formula.

a. 22, 19, 16, 13, …

First we will find common difference

The formula of arithmetic sequence is: $a_n=a_1+(n-1)d$

where a_n is nth term, a_1 is 1st term and d is the difference

Looking at the sequence we get: a_1=22, a_2=19

Using these values we can find d, the common difference

$a_n=a_1+(n-1)d\\put\:n=2, a_2=19, a_1=22\\19=22+(2-1)d\\19=22+d\\d=19-22\\d=-3$

So, the common difference d is d = -3

Now, we will find the recursive formula:

The recursive formula is of type: $a_n=a_{n-1}+d$

We have found common difference d = -3

So, the recursive formula will be:

$a_n=a_{n-1}+d\\a_n=a_{n-1}+(-3)\\a_n=a_{n-1}-3$

The recursive formula is: $\mathbf{a_n=a_{n-1}-3}$

6 0

3 years ago

The Balance of your checking account is $751.You write checks for $49,$36,and $125.You then Deposit $148 from your paycheck.What

olganol [36]

Answer:

your new balance is $689.

Step-by-step explanation:

1.) subtract 49 from 751, then subtract 36 from that amount then 125 from that amount.(your balance at this point should be 541.)

2.) add 148 to 541 which should make you nee balance be 689

8 0

4 years ago

3. Askating rink charges a group fate of $9 plus a fee to rent each pair of skates. A family rents 7 pairs of skates and pays a

ddd [48]

Answer:

$3

Step-by-step explanation:

Let the rental is x

<u>The total is, the equation:</u>

7x + 9 = 30
7x = 21
x = 3

Each skate rental is $3

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PSYCHO15rus [73]

<span>3780 i hope this helps you</span>

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