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BARSIC [14]
3 years ago
11

Find the real solutions of the equation. (2x-6)^2 + 4(2x -6) +3 = 0

Mathematics
1 answer:
miskamm [114]3 years ago
7 0

Answer:

(

2

x

−

6

)

2

+

4

(

2

x

−

6

)

+

3

=

0

Simplify the left side.

Tap for more steps...

(

2

x

−

6

)

2

+

8

x

−

21

=

0

Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

Substitute the values  

a

=

4

,  

b

=

−

16

, and  

c

=

15

into the quadratic formula and solve for  

x

.

16

±

√

(

−

16

)

2

−

4

⋅

(

4

⋅

15

)

2

⋅

4

Simplify.

Tap for more steps...

x

=

4

±

1

2

The final answer is the combination of both solutions.

x

=

5

2

,

3

2

Step-by-step explanation:

You might be interested in
What is 3x+4y=16 for x
sergiy2304 [10]
3x + 4y = 16           Write original equation     
3x + 4y - 4y = -4y + 16          Subtract 4y from each side
3x = -4y +16                    Simplify
3x/3 = -4y/3 + 16/3      Divide each side by three
x = -4y/3 +16/3             Simplify

I hope this helps!

4 0
3 years ago
Eamon wants to buy a new baseball glove that costs $50. he has $14 and earns $6 per hour cleaning yards. How many hours must he
konstantin123 [22]

Answer:

The answer is that he would have to work 6 hours to have enough money to buy the glove.

Step-by-step explanation:

1: Find the amount he needs to earn by subtracting $14 from $50: 50 - 14 = 36. So he needs to earn $36.00.

2: Since you have to find the amount of hours, you can divide $6 from $36 to get the amount of hours he needs to work: 36 / 6 = 6. Eamon only gets $6.00 per hour so he would have to work 6 hours to get the $36.00.

3 0
3 years ago
Read 2 more answers
300 juniors at Central High School took the ACT last year. The scores were distributed normally with a mean of 24 and a standard
Usimov [2.4K]

Answer:

150 students

Step-by-step explanation:

According to statement we have the following information

number of juniors=n=300

mean score=24

standard deviation score=4

The number of students that score above 24 is determined by

Number of students score above 24=number of juniors* P(student score above 24)

P(student score above 24)=P(x>24)=P(x-mean/sd>24-24/4)=P(z>0)=0.5.

Students score above 24=np=300*0.5=150

Hence there are 150 students scored above 24.

4 0
4 years ago
What is the correct inverse function for f(x) = e2x ?
Lena [83]
To solve this problem you must appy the proccedure shown below:

 1. You have the following function given in the problem above:

 f(x)=e^2x

 2. You can rewrite is:

 y=e^2x

 3. Interchange the variables, as below:

 x=e^2y

 3. The inverse of an exponential function is the logarithm function. Thereforem you have:

 ln(x)=ln(e^2y)
 ln(x)=2y

 4.Then, you have:

 y=ln(x)/2

 Therefore, the answer is: 

 f^-1(x)=ln(x)/2
 
5 0
3 years ago
Find the area of the square if the circumference of the circle is 32.97 in
Ivanshal [37]

Answer: 86.5 in²

Step-by-step explanation: Circumference is2·pi·r= 32.97 in.

Radius r = 32.97 in/ 2pi = 5.247 in. Area is pi·r²

4 0
3 years ago
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