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

Substitute each given value of the variable to find which, if any, is a solution of inequality.

Answers

Given:

The inequalities are:

a) [tex]w<-8, w=-4.3, -5.3, -8.3, -9[/tex]

b) [tex]t>-25, t=-24, -25, -25.1, -27[/tex]

To find:

The solution of inequalities by substituting the given values.

Solution:

a) We have,

[tex]w<-8, w=-4.3, -5.3, -8.3, -9[/tex]

After substituting the given values one by one, we get

[tex]-4.3<-8[/tex] False statement.

[tex]-5.3<-8[/tex] False statement.

[tex]-8.3<-8[/tex] True statement.

[tex]-9<-8[/tex] True statement.

Therefore the solutions of [tex]w<-8[/tex] are [tex]w=-8.3, -9[/tex].

b)

We have,

[tex]t>-25, t=-24, -25, -25.1, -27[/tex]

After substituting the given values one by one, we get

[tex]-24>-25[/tex] True statement.

[tex]-25>-25[/tex] False statement.

[tex]-25.1>-25[/tex] False statement.

[tex]-27>-25[/tex] False statement.

Therefore, the solution of [tex]t>-25[/tex] is [tex]t=-24[/tex].

A ratio is a multiplicative comparison of two quantities expressed with the same units. The numbers in a ratio are called terms. A ratio can be written in several different ways. 5 dogs to 3 cats 5 to 3 5 : 3 5 over 3 Ratios can be written to compare a part to a part, a part to the whole, or the whole to a part. Millie types 28 words in 1 minute. How many words can Millie type in 5 minutes?

Answers

Try looking, how many words can she find in 1 minute, then try to calculate how you got that into 5! It's easy if you think about it!

good luck!

                                                                           -KitKat

What is the smallest perfect square ​

Answers

Answer:

Answer: 0 is smallest perfect square but if Any number that can be written as a POSITIVE integer to the power of 2. then 1 is the smallest perfect square number.

Step-by-step explanation:

Answer:

Answer: 0 is smallest perfect square but if Any number that can be written as a POSITIVE integer to the power of 2. then 1 is the smallest perfect square number.

Step-by-step explanation:

Which equation represents a line which is parallel to the line y = -4/5x + 8?
4x + 5y = -15
5y - 4x = -35
5x + 4y = 16
5x - 4y = -32

Answers

Answer:

id k i got 4x + 5y=40

Step-by-step explanation:


[tex] \frac{1}{2} \times \frac{3}{8} [/tex]

Answers

The answer is 3/16 or 0.1875 in decimal form.

What is an equation of the line that passes through the points (--8, 0) and (8, 4)?

Answers

Answer:

equation of a line =(y2-y1)/(x2-x1)=(4-0)/(8--8)=4/16=1/2 is your answer.

3/5
Every 3 out of 12 vehicles on a highway is a truck. How many trucks are expected
to be on a highway with 3,600 vehicles?
300
600
900
1,200

Answers

Answer: i hope these is the answer 900

Step-by-step explanation:

Answer:

900 trucks expected.

Step-by-step explanation:

3600/12 = 300

3 * 300 = 900

9 * 300 = 2700

Please help im almost done (this is 12 year old math)​

Answers

Answer:

1.) 12m = d

2.) 120

Answer:

d=12m

$120

Explained

part 1:

d=12m (dollars = $12 times the m (the number of mows))

part 2:

m=10

d=12 (10)

d=$120

Solve by using elimination.
2x+3y=12
-4x-6y=-24

Answers

Answer:

Hi! The answer to your question is (x,4-[tex]\frac{2x}{3}[/tex])

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆*: .。..。.:*☆☆*: .。..。.:*☆☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

☁️ Answer ☁️

2x+3y=12, -4x-6y=-24

I got:

x=x, y=4 - 2x/3

(Im not sure if I solved it correctly)

Hope it helps.

Have a nice day noona/hyung

can i please have help thank you

Answers

Answer:

37

Step-by-step explanation:

10x40 = 400

2(39+42)+ 40 x 4 + 41 + X = 400

162 + 160 + 41 = 400 - X

400 - 363 = X

X= 37

Answer:i dont know sr

Step-by-step explanation:

no hosting link just a simple answer to my question. please help only if you want a brainliest thank you.

Answers

Answer: 5

Step-by-step explanation:

PLEASE HELP AND EXPLAIN! :)
WORTH 48 POINTS!

Is (2, 6) a solution to this system of equations?

y = x + 4
y = 9x + 10

Answers

Answer:

x=-1/5

y=41/5

I am not able to explain to you how I achieved these results, but at least you can try and see if you can solve the equation.

Answer:

No, (2,6) is not a solution to this system of equations.

Explanation:

Okay so lets restate the question:

Is (2, 6) a solution to this system of equations?

y = x + 4

y = 9x + 10

First, you find the x and y intercepts from the equations stated above.

y=x+4

x intercept(s): (-4,0)

y intercept(s): (0,4)

So for the first equation, (2,6) is not a solution.

Now, we find the x and y intercepts for the second equation.

y=9x+10

x intercept(s): (-10/9,0)

y intercept(s): (0,10)

So for the second equation, (2,6) is not a solution.

Both equations do not have (2,6) involved.

And its 24 points not 48 :((((

answer this question for 25 points and brainliestt

Answers

Answer:

-10, square root of 100, square rout of 220, 11.5

Step-by-step explanation:

A person invested $140 in an account growing at a rate allowing the money to double
every 15 years. How long, to the nearest tenth of a year would it take for the value of
the account to reach $280?

Answers

Answer: 15 years

Step-by-step explanation:

$140 doubled is $280 which happens every 15 years

The question is in the png

Answers

Answer:

2 and 4 only

Step-by-step explanation:

hope it helped!!!


Help with math ASAP!!!

Answers

I think it’s B! Also have a great day

Solve the system by substitution.
5x + 9y = 21
-6y = x

Answers

5(-6y) + 9y = 21
-30y + 9y = 21
-21y = 21
divide both sides by -21.
y = -1

Answer : y = -1

A filter in the shape of a cone has a diameter of 3 inches and a height of 4 inches.
How much liquid can the filter hold without it overflowing?
A.
B.
C.
D.

Answers

Answer:

9.42 cubic inches

Step-by-step explanation:

We are to find the volume of the cone.

The formula is given as:

1/3πr²h

From the question,

Diameter = 3 inches, Radius = D/2 = 3/2

r = 1.5 inches

h = 4 inches

Hence, the volume of the cone =

1/3 × π × 1.5² × 4

= 9.42 cubic inches

Therefore, the filter can hold 9.42 cubic inches of liquid without overflowing.

8. Jackie converted the following decimals to fractions. Which decimal did she
convert incorrectly?*

0.005
0.3
0.625
0.8
Please hurry and answer

Answers

Answer:

B

Step-by-step explanation:

Answer:

it's 0.625

Step-by-step explanation:

Justin throw a football to his friend and the height of the football in meters above the ground after T seconds is modeled by f (t)=-4.9^2 + 30t+13 when did the football hit the ground

Answers

The football hits the ground at 6.53 seconds

The height function of the football is given as:

[tex]f(t) = -4.9t^2 + 30t + 13[/tex]

When the football hits the ground, f(t) = 0 i.e. the height of the football is 0.

So, we have:

[tex]-4.9t^2 + 30t + 13 = 0[/tex]

Using a calculator, we have:

[tex]t = \{-0.41, 6.53\}[/tex]

The value of time (i.e. t) cannot be negative.

So, we have:

[tex]t = 6.53[/tex]

Hence, the football hits the ground at 6.53 seconds

Read more about quadratic functions at:

https://brainly.com/question/11441586

What is the slope of a line perpendicular to the line whose equation is x+ 3y = -15 Fully simplify your answer.

Answers

Answer:

3

Step-by-step explanation:

We can find the slope of the given line in this two way:

1) the faster is calculate -a/b where a is the number the multiply x and b is the number the multiply y. In this case we have -1/3

2) the second method is rewrite the equation in slope intercept form and find the therm that multiply x

3y = -x-15

y = -1/3x - 5

Also in this case we have -1/3

Two perpendicular lines have the the product of the their slope that is -1

So the slope that we are finding is 3

In fact = 3 x -1/3 = -1

In Example 1, why is 9 a solution of x>5?

Answers

Answer:

Look below

Step-by-step explanation:

9 would be a solution of the inequality x>5 because x can represent any number, but because there is a > between x and 5, that means that whatever number x represents is greater than 5, and because 9 is greater than 5, it is a solution to the inequality.

Hope this helps :)

https://northeast.schoolobjects.com/eduphoria_webcontrols/attachmentwriter.aspx?orgguid=0cdcd836-79e1-43fd-b1f1-87815cd304ec&attid=b57be0e4-768f-4f58-b615-ebd56e104099 FIND SQ

Answers

Answer:

Links are never trusted sir

Step-by-step explanation:

copy and paste (●'◡'●)

how do you write length is twice the width as an expression. ​

Answers

Answer:

width=x

length =2x.....

Answer:

l = 2w

Step-by-step explanation:

note:

l = lenght

w = width

so lenght  is 2 times width is -

l = 2w

If a candy bars original price was $2 and the amount of the discount was $0.30 how much is the percent of discount off?

Answers

15% off........................................

IM GIVING BRAINLIEST!!!PLEASE HELP!!!I JUST KNOW ITS NOT A!!!

Answers

Answer:

C. In y^2-y=6, 6 should have been subtracted on both sides first.

Step-by-step explanation:

It is a quadratic equation so you subtract the 6 and create

y^2-y-6=0

Then you factor it to:

(y-3)(y+2)=0

The solutions then are:

y-3=0, y=3 and y+2=0, y=-2

{-2,3}

6. Harry deposited an equal amount into his savings account on two occasions. If he already had $450 in the account and had $565 after the deposits, how much was each deposit? ​

Answers

Answer:

$115

Step-by-step explanation:

Amount Harry had in the account = $450

He had $565 after the deposits.

We need to find the amount deposited by Harry.

Deposited amount = final amount-initial amount

= $565 - $450

= $115

So, each deposit is $115.

Answer:$57.50

Step-by-step explanation:

2x + 450 = 565

2x + 450 - 450 = 565 - 450

2x = 115

2x/2 = 115/2

x = 57.50

help me please I'll be doing more

Answers

Answer:

Step-by-step explanation:

1. 7 4/11 + 2 6/11 = 9 10/11

2. 5 1/12 + 6 3/12 = 11 4/12 = 11 1/3

3. 8 4/15 + 3 2/15 = 11 6/15 = 11 2/5

4. 6 1/9 + 2 3/9 = 6 4/9


Determine whether the series -20 + 100 - 500 + ... is convergent or divergent.
a. convergent
b. divergent
Please select the best answer from the choices provided

Answers

it's divergent, you can actually simplify this series by combining terms in pairs

Answer:

B

Step-by-step explanation:

practice on edg 2021

Ann has $ 1, $10, and $20 bills. She has 4 times as many $20 bills as $10 bills. She has 3 times as many $1 bills as $20 bills. She has a total of $204 . Drag and drop the number of $1, $10, and $ 20 bills she has.

Answers

Answer:

Ann has 24 $1 bills, 2 $10 bills, and 8 $20 bills.

Step-by-step explanation:

Given that Ann has $1, $10, and $20 bills, and she has 4 times as many $20 bills as $10 bills and 3 times as many $1 bills as $20 bills, taking a total of $204, to determine the number of $1, $10, and $20 bills she has, she needs to perform the following calculation:

1 = 3x20 = 3x4x10 = 12x10

20 = 4x10

10 = 10

(12 x 1) + (4 x 20) + 10 = 12 + 80 + 10 = 102

(24 x 1) + (8 x 20) + (2 x 10) = 24 + 160 + 20 = 204

So Ann has 24 $1 bills, 2 $10 bills, and 8 $20 bills.

Other Questions
How are you today? Have you had anything to eat? What's ur fav color? I'm just here to talk. I hope everyone has been staying safe! The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y 4 = y minus 4 equals StartFraction one-fourth EndFraction left-parenthesis x minus 9 right-parenthesis.(x 8). What is the slope-intercept form of the equation for this line?y = y equals StartFraction one-fourth EndFraction x minus 12.x 12y = y equals StartFraction one-fourth EndFraction x minus 4.x 4y = y equals StartFraction one-fourth EndFraction x plus 2.x + 2y = y equals StartFraction one-fourth EndFraction x plus 6.x + 6 Convert the angle 2/3 radians to degrees. who came up with an idea called the american system 33 points!!! How many months did the Incas have In there calendar? please answer if u know Spanish!! 3.1Discuss THREE contributing factors that led to xenophobia. Which revision correctly adds a dash to indicate a pause or break in the sentence?O The package-finally arrived nearly three months after it had been ordered.O The package finally arrived-nearly three months after it had been ordered.O The package finally arrived nearly-three months after it had been ordered.O The package finally arrived nearly three months-after it had been ordered. What geographic feature is caused by subducting plates on the ocean floor?peninsulatrenchesplateausoasis write each sum as a product of two factors 7g+ 14h + 21i What is the length of BC?512A.7B.12C.13D.17 PLEASE HELP i dont get this 23. (T) (1) - - : A tall (T) pea plant and a dwarf (t) pea plant were first cross - pollinated and then self pollinated. The given table shows the resuhads this experiment. Answer the following questions with the help of the table.(i) ? (Which filial generation does this result belong to?)(ii) ? ?What is a hybrid? What is the percentage of pea plants having hybridcharacter in this generation?(iii) ? (Which pair of genes indicate the pure tall plant?)TtHow does surfa0+TTTTtt.Tt tt5. 16. 24 Complete the Why do you think Community Health Workers serve as connectors to the community? The area of a rectangle is 96.3 calculate the width of the rectangle What three subgroups of the indigenous people of Southeast Asia..Han.Chams.Malays.Khmers Mary wants to find this product. 58 x 20 How can Mary find the product? A. 0 +16 + 100 B. 0 + 160 + 1000 . C. 58 + 16 + 100 D. 58 + 16 + 1000 Write the number 2.36 10-4 in expanded form. Texas had more POW camps than any other state. How many prisoners were held in the camps? What type of work did they do Why do you think the Title of Chapter 5 is D-Day?(A Mighty Long Way)