PLEASE HELP!! Algebra 2

PLEASE HELP!! Algebra 2

Answers

Answer 1

Answer:

No

Edit:

Yes, based on original equation. (Credit to greenpumpkin for correction)

Step-by-step explanation:

For this problem, we simply need to find the values of x that can make the equation true.  So, let's begin by isolating the "x" variable.

sqrt(2x + 13) = x + 5

[sqrt(2x + 13)]^2 = (x + 5)^2

2x + 13 = x^2 + 10x + 25

0 = x^2 + 8x + 12

Note, we can remove the sqrt method by squaring both sides of the equation.  Doing this, we see we have a quadratic equation meaning we can apply the quadratic formula to find solutions for x.

[-b +/- sqrt( b^2 - 4(a)(c) ) ] / 2a

Let a = 1, b = 8, and c = 12

[-8 +/- sqrt( (8)^2 - 4(1)(12) ) ] / 2(1)

= [-8 +/- sqrt( 64 - 48 ) ] / 2

= [-8 +/- sqrt(16) ] / 2

= [ -8 +/- 4 ] / 2

So, x = [ -8 + 4 ] / 2  and x = [-8 - 4 ] / 2

x = [-4] / 2 = -2  and x = [-12] / 2 = -6

Hence, the two values of x that can solve this quadratic equation are x = -2 and x = -6.

Therefore, we know that x = -6 is not extraneous, meaning it is a solution to our equation.

Cheers.

----------------------------------------------------

Edit:

Plugging the value of -6 back into the original equation, we get the following:

sqrt(2x + 13) = x + 5

sqrt(2(-6) + 13) = (-6) + 5

sqrt (1) = -1

1 != -1

Given that 1 cannot equal negative 1, we can say that x = -6 is an extraneous solution. (Credit to greenpumpkin for correction)


Related Questions

Laura has 160 pounds of green beans at her vegetable stand. If she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?

A
18.75%

B
81.25%

C
23.07%

D
16%

Answers

Given:

Laura has 160 pounds of green beans at her vegetable stand.

She sells 10 pounds of green beans every hour.

To find:

The percent decrease in green beans after 3 hours.

Solution:

We have,

Beans sold in 1 hour = 10 pounds

So, Beans sold in 3 hours = 30 pounds

Decrease in green beans after 3 hours is 30 pounds.

Now,

[tex]\%\text{Decrease}=\dfrac{\text{Decrease in green beans after 3 hours }}{\text{Initial amount of green beans}}\times 100[/tex]

[tex]\%\text{Decrease in green beans after 3 hours}=\dfrac{30}{160}\times 100[/tex]

[tex]\%\text{Decrease in green beans after 3 hours}=\dfrac{300}{16}[/tex]

[tex]\%\text{Decrease in green beans after 3 hours}=18.75\%[/tex]

Therefore, the correct option is A.

Please help me out quickly

Answers

Answer:

I dont see the stuff I think my internet is slow but I will help you when its up again im using hotspot just remind me

Step-by-step explanation:

A house has increased in value by 36 percent since it was purchased. If the current value is 306000 what was the value when it was purchased?

Answers

Answer:

$225,000

Step-by-step explanation:

Step-by-step explanation:

To calculate the percentage change we will apply the formula:

p= N-O/O *100

p is the increased percentage

N is the current value

O is the old value.

Substitute the values in the formula:

36 = 306,000 - O/O *100

Divide both the sides by 100

36/100 = 306,000 - O/O *100/100

36/100 = 306,000 - O/O

Now multiply O at both sides

36/100 * O = 306,000-O/O * O

At R.H.S O will be cancelled by O

At L.H.S 36/ 100 = 0.36

0.36 O= 306,000-O

Combine the like terms:

0.36 O+O =306,000

1.36 O = 306,000

Divide both the terms by 1.36

1.36 O/ 1.36 = 306,000/1.36

O= $225,000

Therefore  when the house was purchased its value was $225,000....

A computer manufacturer has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by where x is the number of days since the start of the job. Find the expenditure if the job takes 8 days.

Answers

Answer:

The expenditure would be $ 8600

Step-by-step explanation:

If the cost is given by the function

C(x)= 10x + 6   where x is the number of days

The cost for 1 day would be

C(1)= 16 *100 = 1600 $  ( the expenses are in hundreds of dollars)

Then Putting x= 8 in the given equation we get

C(8)= 10(8) + 6  

= 86

Multiplying 86 by 100 because expenditure rate per day  is in hundreds of dollars

The expenditure would be $ 8600

A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 12 feet more than the length of the shortest side.Find the dimensions if the perimeter is 136 feet​

Answers

x - the shortest side

2x

x + 28

The sum of these must be equal to the perimeter of the flower bed, so

x + 2x + x + 28 = 184

4 x + 28 = 184  Combined like terms

4x = 156  Subtracted 28 from both sides

x = 39  Divided both sides by 4.

So the dimensions are 39 feet, 78 feet, and 67 feet

Can someone help me please

Answers

Answer:

krkk4k4k

Step-by-st man this really is an annoying question

Evaluate the following expression. y + 9 when y = 12

Answers

Answer:

21

Step-by-step explanation:

y+9 = ?

y=12

12+9=21

Answer:

3

Step-by-step explanation:

If x2 = 10, what is the value of x?

Answers

Answer:

The value of x is 5

Step-by-step explanation:

5 x 2 = 10

Answer~

x= ±[tex]\sqrt{10} =[/tex] ± 3.1623

simplifyied~

x = 5

Which of the fractions is equivalent to 2/5 ?
5/2
4/25
12/15
4/10

Answers

Answer is
The fourth option
4/10

Answer:

4/10

Step-by-step explanation:

4/10 simplifies to 2/5

4/2 = 2

10/2 = 5


A local store has a puppy that weighs 88 ounces. How many pounds does the puppy weigh given that 1 pound = 16 ounces?

Answers

Divide 88 by 16

88/16 = 5.5

It weighs 5.5 pounds

Answer:

5.5

Step-by-step explanation:

if you divide 88 ounces by 16 it will give yout he answer of 5.5.

88/16 = 5.5

What happens when a barrel goes over the waterfall?

a. The barrel speed stays the same

b. The barrel slows down.

c. The barrel speeds up.

d. The barrel stops


PLEASE SEND HELP!! I NEED THE ANSWER.......QUICK!!! WILL GIVE THE BRAINLEST!

Answers

I think it c because it will go down faster because of gravity

How many terms are in this expression?,,,, -2x + 3y - 4

Answers

There are 3 terms in this expression.

Hope that helps!

Jeremy wants to give a 20% gratuity to his cab driver. His fare is $35.50. What is the total amount he will pay the driver?

Answers

Answer:

$42.60.

Step-by-step explanation:

You multiply 35.50 by .20 (that's decimal version of 20%) which equals 7.10. Then you add 35.50+7.10=42.60


Help me please don’t lie to me

Answers

Answer:

1. yes

2. no

Step-by-step explanation:

1. 3x - 4y ≥ 18

3(2) - 4(-3) = 6 + 12 =18

18≥18 this is a solution

2. 4x + y < 0

4(1) + (-4) = 4 - 4 = 0

0 equals 0, 0 cannot be less than 0, they are the same

xoxo, your highness...

the amount of sod needed to cover the circular green on a golf course?

Answers

Answer:

you would need just over 261 pounds of seed for 1 acre.

Step-by-step explanation: For example, if the recommended seeding rate for a specific blend of grasses is 6 pounds per 1,000 square feet, multiply 6 by 43.56 to get 261.36. Thus you would need just over 261 pounds of seed for 1 acre.

please help solve this.​

Answers

N=-9
N=-8
I think that’s the answer am not sure but there

Iron makes up 4.5% of the Earth's crust. Which is another way to write 4.5% of a value?

Answers

Answer:

0.045 or 9/2

Step-by-step explanation:

Juanita drive 40 miles in 48 minutes At this rate, she will drive _______ miles in 6 minutes

Answers

The answer is 5 miles

Please help!! I just need help with question 40!!

Answers

Answer:

a. 70%

b. 6 more times

c. subtract from 100% with percentages, subtract from 1 with decimals.

Step-by-step explanation:

a. To find the percentage of red and yellow, skip back the decimal point two times: 0.26 > 26%     0.04 > 4%

Add all of the percentages together to get 70%

b. To find how many times more students said red than yellow, divide yellow from red. It shows you how many times yellow can go into red, giving you the correct answer.

0.26 ÷ 0.04

26 ÷ 4

6

c. 14% + 26% + 40% + 4% = 84%

100% - 84%

16%

(do the same thing with decimals and pick your favorite method)

:)

Complete the first step in the solution
4x= 24 4x/ = 24/

Answers

4x6=24. i hope this helps if not im sorry

PLEASE HELP! IMAGE ATTACHED

Answers

The answer is c
Your welcome

how many minutes is 40% of 120 minutes?​

Answers

40% of 120 should be about 48 minutes

Answer:

48 mins

Step-by-step explanation:

40 x 120 /100

= 48

What’s 1/2 divided by 6 plz help

Answers

Answer:

3

Step-by-step explanation:

Because .5÷6=3

and .5 is 1/2 as a decimal

6 / 1/2 = 3
6 / 0.5 =3
0.5 = 1/2

A chemist has 100 ml of 25% acid solution. how much of the solution does she need to drain and replace with 70% acid solution to obtain 100 ml of 60% acid solution?

Answers

Answer:

The proportion of acid at 70% that the chemist must use will be 77.8%, while the remaining 22.2% will be acid at 25%.

Step-by-step explanation:

Since the chemist has 100 ml of solution with 25% acid, and wants to obtain a solution of 60% acid by mixing the first with another 70% acid solution, to determine how much of each solution the chemical should use necessary to perform the following calculation:

70 x 1 + 25 x 0 = 70

70 x 0.9 + 25 x 0.1 = 65.5

70 x 0.8 + 25 x 0.2 = 61

70 x 0.7 + 25 x 0.3 = 56.5

Therefore, the proportion to be used is between 70% and 80% of acid at 70%, and 20% to 30% of acid at 25%.

70 x 0.75 + 25 x 0.25 = 58.75

70 x 0.76 + 25 x 0.24 = 59.2

70 x 0.77 + 25 x 0.23 = 59.65

70 x 0.78 + 25 x 0.22 = 60.1

Thus, the proportion should be between 77 and 78% of acid at 70% and 22 and 23% of acid at 25%.

70 x 0.778 + 25 x 0.222 = 60.01

Thus, finally, the proportion of acid at 70% that the chemist must use will be 77.8%, while the remaining 22.2% will be acid at 25%.

QUESTION 2
Solve the equation for exact solutions.
arccos x + arccos 2x = arccos
1/2

Answers

The third one is the correct answer

solve the equation 4p + 2 =22,using a double number line

Answers

Answer:

the answer is 5

Step-by-step explanation:

Does anyone know the answer to this question

Answers

The answer is B.16! all you have to do is take 1.19 and multiply it by 16 to get under 20 (16•1.19=19.04):)

What is the slope of the given table?
-2
-4
1/2
2

Answers

(-4, 7), (-2,3)
(y2-y1)/(x2-x1)
(3-7)/(-2+4) = -4/2 = -2
The slope is -2

What is the interval used in the frequency chart shown below?

Answers

A.4

took the test

╰(*°▽°*)╯(☞゚ヮ゚)☞

Answer:

the answer is a i got a hundred on that tes a year ago

Step-by-step explanation:

at a pet store at the mall there are 21 dogs, 13 cats, 12 rabbits, 5 hamsters, and 3 ferrets. What percent of the animals mare rabbits

Answers

Answer:

28.57%

Step-by-step explanation

I added all the animals together and got the precentage of rabbits

Hopefully its right :)

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