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Mariulka [41]
3 years ago
15

What are the solutions to the quadratic equation 4x^2-9x-9=0?

Mathematics
2 answers:
IrinaVladis [17]3 years ago
7 0

For this case we have the following quadratic equation:

4x ^ 2-9x-9 = 0

We can factor the equation to find the roots of the polynomial,

We have then:

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

Therefore, the solutions of the equation are given by:

Solution 1:

x-3 = 0\\x = 3

Solution 2:

4x + 3 = 0

x = -\frac{3}{4}

Answer:

The solutions to the quadratic equation are:

x = 3

x = -\frac{3}{4}

gavmur [86]3 years ago
4 0
X = 3, -
 \frac{3}{4}
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3. A company with loud machinery needs to cut its sound intensity to 44% of its original level. By how many decibels would the l
sergeinik [125]

Answer:   <em>3.   The correct option is:  A) 3.57 decibels.</em>

<em>6.   The correct option is:  B) ln(\frac{x^2}{c^5})</em>

Step-by-step explanation:

3.    Sound intensity is cut to 44% of its original level. That means, if the original sound intensity was 100, then now sound intensity will be 44.

So,  I_{0}= 100 and I= 44

Using the formula L= 10log(\frac{I}{I_{0}}), we will get.....

L= 10log(\frac{44}{100})\\ \\ L= 10log(0.44)\\ \\ L= 10(-0.3565...)=-3.565...\approx -3.57

<em>(Rounded to the nearest hundredth)</em>

So, the loudness would be reduced by 3.57 decibels.


6.    Given expression is:    2ln(x) - 5ln(c)

First applying the property m*log(x)= log(x^m) , we will get.....

ln(x^2)-ln(c^5)

Now using the formula, log(a)-log(b)= log(\frac{a}{b}), we will get....

ln(x^2)-ln(c^5) = ln(\frac{x^2}{c^5})

Thus, the answer as a single natural logarithm is   ln(\frac{x^2}{c^5})

8 0
3 years ago
The sum of three consecutive integers is 33. Find the numbers.
Rufina [12.5K]

Answer:

A

Step-by-step explanation:

x+x+1+x+2=33

3x+3=33

3x=30

x=10

so x+1 =11

x+2 =12

5 0
3 years ago
What is
san4es73 [151]
Specify, what are you needing?
4 0
3 years ago
Farhan orders one plate of seafood fried rice at a restaurant which offers at 25% discount. the Marked price of the seafood frie
ANTONII [103]

Answer:

The total amount of money he has to pay for the dish is $8.3861.

Step-by-step explanation:

Here, the marked price of the seafood fried rice  = $9.50

Now, discount on the marked price  = 25%

Calculating 25% of $9.50 = \frac{25}{100}  \times 9.50 = 2.375

So, the discount offered = $2.375

Now, the Selling Price of dish = Marked Price - Discount

                                                    =  $9.50 - $2.375   = $7.125

Now, here the service charge applied here  = 10%

Calculating 10% of $7.125 = \frac{10}{100}  \times 7.125 = 0.7125

So, the service charge applied  = $0.7125

So, the new Selling Price of dish = Selling Price + Service Charge

                                                    =  $7.125 + $0.7125   = $7.8375

Again, here the GST applied here  = 7%

Calculating 7% of $7.8375 = \frac{7}{100}  \times 7.8375 = 0.5486

So, the GST applied  = $0.5486

So, the new Selling Price of dish = Selling Price + GST

                                                    =  $7.8375 + $0.5486   = $8.3861

Hence, the total amount of money he has to pay for the dish is $8.3861.

5 0
3 years ago
Answer key for this
topjm [15]

Answer:

3 square root of 64 = 24 (clue #2)

9^2=81 (clue #4)

negative square root of 196 = -14 (clue #1)

(-11)^2= -121 (clue #3)

I hope this help! If i can get brainly I would appreciate it

3 0
2 years ago
Read 2 more answers
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