Mathematics High School

Solve the following quadratic equation for all values of x in simplest form.
3(4x + 1)2 – 37 = 5

Answers

Answer 1

Answer:

Step-by-step explanation:

Add 37 to both sides (to combine like terms):

3(4x + 1)^2 = 42

Reduce this by dividing both sides by 3:

(4x + 1)^2 = 14

Taking the square root of both sides results in:

4x + 1 = ± √14, or

4x = -1 ± √14

Solve for x by dividing both sides by 4:

       -1 ± √14

x = ----------------

              4

Related Questions

A new car is purchased for $26,000 and over time its value depreciates by one half every 5 years. What is the value of the car years after it was purchased to the nearest hundred dollars?

Answers

Answer: $6,500

Step-by-step explanation:

Question says after 10 years.

The value of the car depreciates by 1/2 every year which is 50%, every 5 years.

In 10 years therefore, the car would have depreciated by half of its value, twice.

Use the future value formula:

= Amount * (1 + rate) ^ no. of periods

= 26,000 * ( 1 - 50%)²

= $6,500

Note: There are two periods because the depreciation is every 5 years and 10 years have gone by so the number of periods is: 10 / 5 = 2 periods

ahhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

I think the answer would be F(7) ,because :

Step-by-step explanation:

2 < 4 -> |8-2| + 6 = 12

7 ⩾ 4 -> 15

15>12 .

Preciso resolver isso hj

Answers

A é a resposta correta:

192 = 2⁶ × 3¹ = 2⁵ × 2 × 3

→   ⁵√192 =  ⁵√(2⁵ × 2 × 3) = ⁵√(2⁵) × ⁵√6 = 2 ⁵√6

Vera and her three sisters received the same amount of money to go to the school festival. Each girl spent $12. Afterward, the girls had $24 altogether.



Which equation can be used to determine the amount of money, m, each girl received?

Multiple choice question.

Answers

Answer:

Each girl (m) had $18.

Step-by-step explanation:

They each had $18.Then, they each spent $12.So, they each have $6; 6x4 = $24 left

The Equation to determine the amount of money, m, each girl received is 4m = 72 or m = 12(4) + 24

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Each girl spent $12.

Afterward, the girls had $24 altogether.

let each Girl received amount of $x.

So, the four spend = 12 x 4 = $48

Then, the total they have = 48 + 24 = $72

So, each of Girl have = 72/ 4 = $18.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

WILL GIVE BRAINILIEST! 14 POINTS! NO LINKS OR REPORT!!

A movie theater offer two different plans to see movies. Plan One has members join for $75 and then pay only $2 per movie. The second plan offers movies for $5.75 per movie. For what number of movies will the costs be the same for both Plan One members and Plan Two members?

Answers

Answer:

20 movies

Step-by-step explanation:

x = number of movies

(75 + 2x) = 5.75x

2x = 5.75x - 75

3.75x = 75

x = 20

how do i fiind the longitude and latitude with a ruler​

Answers

Answer:

measure it with the inches side.

Step-by-step explanation:

PLEASE HELP with question 7! BRAINLIEST to correct answer!!!!

Answers

Answer: rasie 13 to 3/4

Step-by-step explanation:

Raise 13 to 3/4 if this helps you

Given that p is a whole number, and 1/4 < 2/p < 1/3, what is the value of p?

Answers

Answer:

p = 6

Step-by-step explanation:

What are the domain and range of the exponential function below?
F(x) = 3^x + 2

Answers

Answer:

3 is the x

2 is the y

Step-by-step explanation:

2,3
coordinates plot it.

Answers

it should look like this

You have 4 hours, and 50 questions. If you have the same amount of time per question, how long will 1 question take?

Answers

4,8 minutes

Plz give brainliest

What is y +9 =2(x +5) in slope intercept form?

Answers

Answer:

y=2x+1

Step-by-step explanation:

the form us y=mx+c

Answer: y = mx + b. y = -7

Step-by-step explanation: Hope this helps.

HELP PLS: A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective.
A store clerk generates random numbers to simulate a random sample of this shipment. The clerk lets the numbers 1
through 300 represent defective MP3 players, and the numbers 301 through 5,000 represent working MP3 players.
The results are given.
13 2,195 3,873 525 900 1 67 1,094 1,472 709 5,000
Based on the sample, how many of the MP3 players might the clerk predict would be defective?

Answers

Answer: 1,000 players

Step-by-step explanation: The result has two values between 1 through 300

out of the 10 value in the sample so the clerk would predict 5,000 *[tex]\frac{2}{10}[/tex]=1,000 defective players.

solve 0.5 cos 30=3x​

Answers

Answer:

0.14433756

Step-by-step explanation:

sorry if im wrong

Don't tap to view steps it doesn't work..

I need help with that

Answers

Answer:

the triangle with 15 mini-squares

This chart shows the number of eggs laid each month by my pet chicken, Drakestail: During how many months of the year did Drakestail lay at least $16$ eggs?

Answers

21

Anonymous has the correct months, but the average is (21 + 23 + 22 + 24 + 15)/5 =

21 eggs

Answer:

7

Step-by-step explanation:

Jim rented a truck for one day. There was
base fee of $17.95, and there was an additional charge of 87 cents for each mile driven, Jim had to pay $153.67
when he returned the truck. For how many miles did he drive the truck?

Answers

Make an equation
Y = 17.95 + 0.87x
Y = total cost, x = miles
153.67 = 17.95 + 0.87x
135.72 = 0.87x
x = 156 miles

Answer:

Jim drove the truck 156 miles

Step-by-step explanation:

Represent the number of miles driven with x.

Then the formula for the total rental cost is C(x) = $17.95 + ($0.87/mile)x, and this comes to $153.67.  Solve for x:

$153.67 - $17.95 = ($0.87/mile)x, or

$135.72 = ($0.87/mile)x

Dividing both sides by ($0.87/mile), we get:

x = 156

Jim drove the truck 156 miles

Marques bought a pair of shoes online for $61. He used a coupon code to get a 20%
discount. The website also applied a 20% processing fee to the price after the
discount. How much was the discount, in dollars and cents?

Answers

Answer:

$9.76

Step-by-step explanation:

After the processing fee that was after the coupon, the total discount was 9.76.

Choose the graph with a slope of 1/2

Answers

Answer:

d has is the graph with the slope of 1/2.

Step-by-step explanation:

the rise over run from point to point is how you determine the slope.

i hope this helps :)

57:23


A medical researcher has two petri dishes containing viruses. Dish B has a population density of 1.2 viruses per square


millimeter. Dish A has an area of about 2,826 square millimeters


If both petri dishes have the same population density, approximately how many viruses are in Dish A?


O


O


O


O


2,355 viruses


3,391 viruses


23,550 viruses


33,912 viruses


Save and Exit


Neyli


Submit


Mark this and retum

Answers

Answer:

the number of viruses are in Dish A is 3,391 viruses

Step-by-step explanation:

The computation of the number of viruses are in Dish A is shown below:

Since there are 2826 square milimeters area

And, the population density of 1.2 viruses per square

So, the number of viruses in Dish A is

= 2826 × 1.2

= 3,391.2v viruses

Hence, the number of viruses are in Dish A is 3,391 viruses

The answer is B. 3,391 viruses

Good luck :)

The sum of the age of mother and daughter is 66 years.Mothers age is 5 times of daughters age.What is the age of daughter??

Answers

Answer:

I think it might be 13 or 14 I'm not completely sure though.

Step-by-step explanation:

_______
|/ |
| (_)
| \|/
| |
| / \
|
jgs_|___

Answers

Answer:

B

Step-by-step explanation:

help please urgentttt
In which two sports are the players’ height distributions most alike? Explain your reasoning.

Answers

Baseball and hockey

I GIVING BRAINLIEST!!!PLEASE HELP!!

Answers

Answer:

Goodnight

Just put the first variable for each number and substitute to see if you could match for the answers as in (-6, 6, -4 and 4) ..Let me know if you got through to your answer !

Here are the ingredients for making fish pie for 6 people.
Fish pie for 6 people
180 g flour
240 g fish
80 g butter
4 eggs
180 ml milk
Jill makes a fish pie for 3 people. Work out how much flour she needs.

Answers

Step-by-step explanation:

Given

6 people = 180g flour

1 person = 180/6 = 30g flour

3 people = 3 x 30 = 90g flour

Explanation
Step 1 = 180g for 6 people
Step 2 = first u need to find how much for one person u do that by dividing 180 by 6 which is 30
step 3 = now that u know 30 is for one person u times 30 by 3 = 90
Step 4 = so the answer is 90g

Which pair of Earth's sphere's interact the most when ocean waves break onto a beach?
atmosphere and blosphere
geosphere and atmosphere
hydrosphere and biosphere
geosphere and hydrosphere

Answers

Answer:

Step-by-step explanation:

The answer is geosphere and hydrosphere

Sarah earns $400 per week and spends 15% of her earnings on transportation. How much does Sarah spend on transportation every week? *

Answers

Answer:

60 dollars a week.

Step-by-step explanation:

Just take 15 percent of 400, then you get your answer

think of it like this: ?/400$ = 15/100. We are trying to find 15 % of 400, so that’s what the “?” represents.
thinking of it like fractions, cross multiply the numbers you have in this situation (400x15) =6,000
then you divide that answer by the number left (100)
(6,000 / 100) = 60

So the answer is 60$, 15% of 400$ is 60$

Noah will select a letter at random from the word “FLUTE.” Lin will select a letter at random from the word “CLARINET.”

1. What is the probability Noah chooses the letter E from the word FLUTE?

2. What is the probability Lin chooses the letter E from the word CLARINET?

3. Which person is more likely to pick the letter “E?” Explain your reasoning using your answers from questions #1 and #2.

Answers

Answer:

20% & 12.5%

Step-by-step explanation:

1. 1/5 = 0.2 or 20%

2. 1/8 = 0.125 or 12.5%

3. Noah is more likely to select 'E' because he has a higher percentage or probability of selecting it. 0.2 is greater than 0.125

Please mark brainliest

Please mark brainliest

help thank you very much​

Answers

Answer:

B: 76

Step-by-step explanation:

I have to put an explanation.I don't have an explanation.

A square living room in a home has an area of 110.25 square feet.
What is the side length of the living room?

Answers

Answer:

a = 10.5 feet

Step-by-step explanation:

Given that,

The area of a square room, A = 110.25 ft²

We need to find the side length of the living room. Let the side be x.

We know that,

The area of a square, [tex]A=a^2[/tex]

So,

[tex]a=\sqrt{110.25} \\\\a=10.5\ ft[/tex]

So, the side length of the living room is equal to 10.5 feet.

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