What are the solutions of this quadratic equation?

x^2 + 4 = 8x + 5

Answers

Answer 1

Answer:

x=4±sqrt(17)

Step-by-step explanation:

x^2+4=8x+5

x^2-8x-1=0

Use quadratic formula

x=(8±sqrt(64+4))/2

Simplify it

x=4±sqrt(17)


Related Questions

What's $10,100 Afghanistan converted into US$

Please answer with how you got your answer

Answers

Hi :)

10, 100 Afghani Afghani (currency name) is $1212 USD with the conversion you provided. Today it's like $117.41.

Answer:

112.29 usd

Step-by-step explanation:

1 dollar afgani is 0.011 dollars usd :)

If u like answer please consider hitting the heart and give 5 stars :)

plz help me i need help
part A inputs: 7 8 9 10 11 outputs: 8 9 10 11 12






What is the rate of change of the equation from Part A?


Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?




Is the relation in your data a function? Why or why not? Could the equation in the input and outputs represent a function? Why or why not? Explain your answer.

Answers

Answer:

inputs:outputs

7:8

output is equal to input plus one

Step-by-step explanation:

award brainliest

A survey was conducted to see which of four major sports American college students prefer to watch: baseball, basketball, football, or soccer. Of those
surveyed, 53% said they prefer football, 26% chose basketball, and 15% preferred baseball. Ifthere were 1,000 American college students in a room, hov-
many would you expect to prefer soccer?
9.10
B
D
6

Answers

There are 60 students that prefer soccer

The first step is to determine the percentage of students that prefer soccer The percentage of students that prefer soccer = 100 - (53% + 26% + 15% ) = 6%

6% of the students surveyed prefer soccer

The second step is to determine the number of students that prefer soccer

Number of students that prefer soccer = (percentage of students that prefer soccer / 100) x total number of students surveyed

[tex]\frac{6}{100}[/tex] × 1000 = 60 students

A similar question was solved here : https://brainly.com/question/2371435?referrer=searchResults

If grapes are 92% water and raisins are 20% water by weight, then how much did a quantity of raisins, which currently weighs 10 pounds, weigh when all the raisins were grapes

Answers

10 lbs of raisins contains 20% water by weight, so they contain

0.20 × (10 lbs) = 2 lbs

of water. This means the non-water portion of the raisins weighs 8 lbs. This weight stays the same throughout the drying process.

As grapes, they had a total weight of

8 lbs + w

where w is the water weight, and w happens to be 92% of this total weight. So

w = 0.92 × (8 + w)

Solve for w :

w = 7.36 + 0.92w

0.08w = 7.36

w = 92

Then the total weight of the grapes before they dried out is 100 lbs.

Can someone Solve this math problem for me I'm having some trouble.

27×26+98÷25?

Answers

Answer:

705.92

Step-by-step explanation:

hope it's help

#MASTER GROUP

# FIRST MASTER

# PHILIPPINES

we are 5 red marbles a blue marbles and travel marbles in a bag separate rows are performed with the results and table what is the experiment property of randomly during green marble red pen blue 1228a what is the experiments of purposive random drawing green apple by does it sell it for profit of randomly drawn a green marble see what would you expect to happen if Mars has an experiment performed explain your reasoning using complete sentences ​

Answers

Answer:

elon musk

Step-by-step explanation:

he is a god on earth who drinks apples while eating tables in the milk ecosystem when hulk killed superman in washington-nigeria.

Do Not Pay Any Less, Mrs. Mess Puzzle

Mrs Mess was buying a set of garden furniture.

The bill was seventy dollars.

She gave the attendant what she thought were

two $50 bills, (actually two $100 bills).

The attendant was sleepy and didn't notice either,

so he gave Mrs. Mess what he thought were

three $10 bills (actually three $50 bills).

Who ended up better off than they should?

Answers

Answer:

Step-by-step explanation:

She owes                                   70

She pays                     200

She gets                                   150

So the story is            200       220

She pays 200 and gets 220 including the furniture.

She 20 dollars to the good.

Help me plessss!!

Brainliest to the best answer

If you can with procedimento that i understand how to do that

Answers

Step-by-step explanation:

8(b ÷ 2) - (c + 4)

(Putting values of b = 1/2 and c = 1/4)

[tex] = 8( \frac{1}{2} \div 2) - ( \frac{1}{4} + 4)[/tex]

[tex] = 8( \frac{1}{2} \times \frac{1}{2} ) - ( \frac{1 + 16}{4} )[/tex]

[tex] = 8 \times \frac{1}{4} - \frac{17}{4} [/tex]

[tex] = 2 - \frac{17}{4} [/tex]

[tex] = \frac{8 - 17}{4} [/tex]

[tex] = - \frac{9}{4} (ans)[/tex]

Answer:

It is A). -9/4

Step-by-step explanation:

[tex]8(b \div 2) - (c + 4)[/tex]

when b is ½ and c is ¼ :

[tex] = 8( \frac{1}{2} \div 2) - ( \frac{1}{4} + 4) \\ \\ = 8( \frac{1}{4} ) - ( \frac{17}{4} )[/tex]

open brackets:

[tex] = \frac{8}{4} - \frac{17}{4} [/tex]

from LCM formular:

[tex] = \frac{8 - 17}{4} \\ \\ = \frac{ - 9}{4} [/tex]

What form of deductive reasoning is used in the given argument?

If it’s raining outside, I’ll wear my raincoat.
I am not wearing my raincoat.
It is not raining outside.

A.
law of detachment
B.
law of syllogism
C.
law of contrapositive
D.
identification of counterexample

Answers

Answer:

C.

law of contrapositive

Answer:

law of contrapositive

Step-by-step explanation:

How do you translate "Twelve decreased by a quarter of a number, x. in a variable expression​

Answers

Answer:

12 - (1/4)x

Step-by-step explanation:

quarter of x is (1/4)x

Now, minus that from twelve.

The length of a rectangle is 15 cm and the width is 8 cm which is the perimeter of the rectangle

Answers

Answer:

46

Step-by-step explanation:

Perimeter = 2(15 + 8)

Perimeter = 46

Answer:

46 cm

Step-by-step explanation:

To calculate the perimeter of a rectangle, you have to add the length with itself then add the width with itself. After that, you add both of the sums together to get the answer. For this particular question, this is what you have to do.

1.Add the length with itself 15+15=30

2.Add the width with itself 8+8=16

3. Add both sums 30+16=46

In conclusion, the perimeter of the rectangle is 46 centimeters.

Please help explanation if possible

Answers

Answer:

Step-by-step explanation:

Perimeter = 2W +  2L

160 = 2W + 2L

width = 16 feet less than length

W = L - 16   ------------(I)

Finding the dimensions of the court:

2W + 2L = 160

2*(L-16) + 2L = 160       {from (I) }

2*L - 2*16 + 2L = 160     {Distributive property}

2L - 32 + 2L = 160

2L + 2L - 32 = 160         {Combine like terms}

4L - 32 = 160              {Add 32 to both sides}

4L = 160 +32

4L = 192         {Divide both sides by 4}

L = 192/4

L = 48

W = 48 - 16

  W = 32

PLEASE HELP I WILL GIVE YOU A BRAINLY AND ALOT OF POINTS I HAVE A VERY LIMITED AMOUNT OF TIME PLSS

Answers

3x

x+3

x-3

x/3

3^x (write the x small and above the 3 the same way as the 3 is written with the x above)

Answer:

3xx + 33 - x3/xx^33^x

Step-by-step explanation:

2)

product means multiply 3*xSum means add x + 3Difference between means subtract. The first number is written first 3-xQuotient means divide 3/x. The first number is the numerator.Third power means x raised to the 3     x^3the xth power means 3^x

If there are 3.28 feet in a meter , how many are in the 110 meter dash?

Answers

Answer:

360.8

Explanation:
3.28*110

In 110 meter dash, there are 360.8 feet.

What is Simplification?

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given that, there are 3.28 feet in a meter

Since,

in 1 meter there are = 3.28 feet

Thus in 110 meters there are = 3.28 * 110 feet

In 110 meters, there are = 360.8 feet

Therefore, there are 360.8 feet in 110 meters dash.

Learn more about Simplification here:

https://brainly.com/question/28996879

#SPJ

22. Juan and Mary each earn $7 an hour at a part time job.
If on a certain day Juan works 34 hours and Mary works
21 hours, what is the total amount of their earnings that day?

Answers

Answer:

Juan- $238

Mary- $147

Step-by-step explanation:

if they earn $7 an hour then you would multiply that by how many hours they worked. So 34×7=238 for Juan and 21×7=147 for Mary.

find the HCF
eg. first expression = 4a -8
=4(a-2)

Answers

Answer:

Step-by-step explanation:

ab² + 2a²b + a³ = a(b² + 2ab + a²)

Here variable 'a' is common in all the terms. HCF = a

2) 2ab² = 2 * a * b *b

   4a²b = 2 * 2 *a * a * b

6a³        = 2 * 3 * a * a * a

HCF = 2a

2ab² - 4a²b - 6a³ = 2a(b² - 2ab - 3a²)

if (a+3,b-2=b-1,2a-3 then find the value of A and B

Answers

Answer:

a=5 and b=9

Step-by-step explanation:

(x, y) = (s, t) => x=s and y=t

Hence, a+3=b-1 and b-2=2a-3, solving we get a=5 and b=9

Identify next three numbers in this sequence: 3, 12, 6, 24, 18, …
options :
27, 13.5, 22.5
72, 36, 144
72, 66, 264
27, 21, 30

Answers

72, 36, 144

its skip a number times 2 times two
then the number you skipped, times two to get the one after the next one then times 3 then so on.

Divide.

2.463÷104


24,630

0.2463

0.0002463

I don't know.

Answers

Answer:

0.023682692307692

Step-by-step explanation:

Above one is correct

Answer:

none of those answers are right the answer is 0.0236826923

Step-by-step explanation:

An interger p is two-third of another and their difference is 10.find the two interferes

Answers

Answer:

30 , 20

Step-by-step explanation:

Let the other number  = x

[tex]p = \dfrac{2}{3}x\\[/tex]

x - p = 10    

Plugin p = (2/3)x in this equation,

[tex]x -\dfrac{2}{3}x=10\\\\\dfrac{3}{3}x-\dfrac{2}{3}x=10\\\\\dfrac{1}{3}x=10\\[/tex]

Multiply both side by 3

x = 10*3

x = 30

[tex]p=\dfrac{2}{3}*30\\\\p= 2 * 10[/tex]

p = 20

Answer:

30 and 20

Step-by-step explanation:

We have an integer p and another [tex]\frac{2}{3}[/tex] p , their difference is 10 , so

p - [tex]\frac{2}{3}[/tex] p = 10 ( multiply through by 3 to clear the fraction )

3p - 2p = 30 , that is

p = 30

and [tex]\frac{2}{3}[/tex] × 30 = 2 × 10 = 20

The 2 integers are 30 and 20

find the possible formula for the nth term of sequence 7 11 15 9​

Answers

Answer:

7, 11, 15, 19, 23, ... To get the terms in the original sequence, we need to add on 3 to each of the terms in the 4n sequence. Hence, the general formula for the nth term of the original sequence is 4n + 3.

hope this helped!!!

Look at image help plz!! Worth 30 points!

Answers

Answer:

t = Gx + a

Step-by-step explanation:

G = t - a/x             (Given)

G(x) = (t - a/x)x     (Multiply x on both sides)

Gx = t - a              (Simplify)

Gx + a = t - a + a  (Add a on both sides)

Gx + a = t             (Simplify)

plzz help............​

Answers

Answer: Choice A

[tex]\frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\[/tex]

====================================================

Proof:

Apply the derivative to choice A. The goal is to prove the derivative is equivalent to the given integrand.

[tex]y = \frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\\frac{dy}{dx} = \frac{4}{\pi}\left[\sin^{-1}(x)+\frac{x}{\sqrt{1-x^2}}-\frac{x}{\sqrt{1-x^2}}\right]-1\\\\\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-1\\\\[/tex]

It's far from obvious, but we can apply a bit of algebra like so

[tex]\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-1\\\\\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-\frac{\pi}{\pi}\\\\\frac{dy}{dx} = \frac{4\sin^{-1}(x)-\pi}{\pi}\\\\[/tex]

Next, we divide every term by 2. This is so we can replace the pi terms with pi/2

[tex]\frac{dy}{dx} = \frac{4\sin^{-1}(x)-\pi}{\pi}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\frac{\pi}{2}}{\frac{\pi}{2}}\\\\[/tex]

We do this to take advantage of the trig identity [tex]\sin^{-1}(x)+\cos^{-1}(x) = \frac{\pi}{2}[/tex]

So we'll be replacing every instance of "pi/2" with the left hand side of that equation just mentioned.

Therefore,

[tex]\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\frac{\pi}{2}}{\frac{\pi}{2}}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\left(\sin^{-1}(x)+\cos^{-1}(x)\right)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\frac{dy}{dx} = \frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\[/tex]

This shows that differentiating the expression in choice A leads to the given integrand.

If we reverse all of the steps mentioned, then we can show that:

[tex]\displaystyle\frac{dy}{dx} = \frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\\ \int\frac{dy}{dx}dx = \int\frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}dx\\\\\\y = \frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\[/tex]

since integrals and derivatives are tied together through inverse processes (one undoes the other more or less).

A city has a population of 240000 people. Suppose that each year the population grows by 5%. What will the population be after 8 years?

Answers

240000 * 1.05^8 = 354589

Answer:

354,589 people.

Step-by-step explanation:

Each year the population is 105% times the previous year.

105% = 1.05.

so in 8 years population will be:

240000*(1.05)^8

= 354,589.

Find XZ if Y is the midpoint of XZ, XY = 2a + 11, and YZ = 4a - 5

Answers

Answer:

XZ=54

Step-by-step explanation:

X___Y___Z

XY= YZ

2a+11=4a-5

4a-2a= 11+5

2a=16

a=16/2

a=8

XY=2a+11=2(8)+11=16+11=27

YZ=4a-5 = 4(8)-5=32-5=27

XZ=XY+YZ =27+27=54

I hope I helped you^_^

can someone please help me find the domain and range​

Answers

Answer:

the domains are x axis or intercepts and range is y axis or intercepts

how many questions I have to ask?​

Answers

Answer:

p is 16

Step-by-step explanation:

[tex]p \: \alpha {(q + 2)}^{2} [/tex]

introduce a constant on a right hand side:

[tex]p = k {(q + 2)}^{2} - - - eqn \: (a)[/tex]

[ when q is 1, also p is 1 ]

[tex]1 = k(1 + 2) {}^{2} \\ 1 = 9k \\ k = \frac{1}{9} [/tex]

substitute for k in eqn (a):

[tex]p = \frac{1}{9} (q + 2) {}^{2} [/tex]

so, when q is 10:

[tex]p = \frac{1}{9} (10 + 2) {}^{2} \\ \\ p = \frac{1}{9} (144) \\ \\ p = 16[/tex]

If p is true and q is false, the p->q is ____
true.
never
always
sometimes

Answers

Answer:

never

Step-by-step explanation:

p->q means if p is true, then q must also be true

but since q is false, p->q is never true

Answer: Never

Explanation:

The notation p -> q refers to a conditional statement.

Conditionals are only false when the first part (p) is true while the second part (q) is false. In other words, the template true --> false ultimately leads to a false statement. Otherwise, the entire thing is true.

In our case, we have something that fits the "true -> false" template, so that's why p -> q is never true when p = true and q = false.

find the square of 20.​

Answers

Answer:

400

Step-by-step explanation:

[tex] {20}^{2} = 20 \times 20[/tex]

that is equal to 400

Answer: 400

Step by step explanation:

20*20= (2*2)*(10*10)= 4*100=400

how about you solve X2+4x-20=0 in algebra 1 explanation on how you got the answer​

Answers

Answer:

x=−2+2√6 or x=−2−2√6

Step-by-step explanation:

Let's solve your equation step-by-step.

x2+4x−20=0

For this equation: a=1, b=4, c=-20

1x2+4x+−20=0

Step 1: Use quadratic formula with a=1, b=4, c=-20.

x=

−b±√b2−4ac

2a

x=

−(4)±√(4)2−4(1)(−20)

2(1)

x=

−4±√96

2

x=−2+2√6 or x=−2−2√6

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