\sqrt{7+\sqrt{2+\sqrt{x+1} } } =3

Answers

Answer 1

First make note of the domain of the left hand side.

• √(x + 1) is defined for x + 1 ≥ 0, or x ≥ -1.

• √(2 + √(x + 1)) is defined for 2 + √(x + 1) ≥ 0. If x ≥ -1, then this condition is satisfied.

• √(7 + √(2 + √(x + 1))) is defined for 7 + √(2 + √(x + 1)) ≥ 0. This condition is also satisified automatically if x ≥ -1.

Now solve the equation. Taking the square of both sides of

√(7 + √(2 + √(x + 1))) = 3

yields

7 + √(2 + √(x + 1)) = 3² = 9

√(2 + √(x + 1)) = 2

Squaring both sides again gives

2 + √(x + 1) = 2² = 4

√(x + 1) = 2

And once more,

x + 1 = 2² = 4   ⇒   x = 3


Related Questions

y = one-fourth x minus 6 be determined? Explain.

Answers

Answer:

Step-by-step explanation:

For a given function f(x), we define the domain as the set of the possible inputs of the function and the range as the set of the outputs of the function.

We will see that both domain and range are the set of all real numbers.

D = (-∞, ∞)

R = (-∞, ∞)

Here we have the function:

The first thing we need to do is find the domain.

We start by assuming that the domain is the set of all real numbers and then we try to find some given values of x that cause some undefined operation, and then we remove these values of x from the domain.

Where this would be something like a zero in the denominator or something like that. We also could have specific restrictions to the domain that are applied in some specific cases (for example if x represents a length we should remove the negative values from the domain).

Here we can see that we do not have any indetermination, thus the domain is the set of all real numbers.

Now to study the range we need to see the general function, we can see that as x tends to negative infinity y will also tend to negative infinity, while when x tends to infinity y will also tend to infinity.

Then the range will also be the set of all real numbers.

Find the value of the variables.

Answers

Answer:

x = 90 degrees

y = 50 degrees

Step-by-step explanation:

The angle where x lies is a right angle, and right angles = 90 degrees. A triangle adds up to 180 degrees, so you add 90 and 40 together and then subtract that from 180 degrees.

4 apples, 2 bananas, and 5 pearsWhat is the ratio of pears to all fruit?

Answers

Answer:

[tex]\frac{5}{11}[/tex]

Step-by-step explanation:

five pears out of eleven fruit total

hope this helps!

Answer:

5 : 11

Step-by-step explanation:

total fruit = 4 + 2 + 5 = 11

Then the ratio of

pears : all fruit

= 5 : 11

ms. cox and her three friends are dining at a restaurant. the food they order cost %80. the bill includes an additional 15% service charge. how much does each person pay if they share the bill equally

Answers

did i hear help i will help you soooooooo oooooooooo

Multiply the monomials:
3x^7, 4x^2 and -5x^3​

Answers

Given monomials are 3x⁷ , 4x² and -5x³

On multiplying them then

⇛ (3x⁷)×(4x²)×(-5x³)

⇛(3×4×-5) × (x⁷×x²×x³)

⇛ -60×x^(7+2+3)

Since , a^m × a^n = a^(m+n)

⇛-60 × x¹²

⇛ -60x¹² Ans.

also read similar questions: Multiplying Polynomials by Monomials: 2x (5x-2) = 10x-4x...

https://brainly.com/question/21877934?referrer

Find the product of the monomial and the polynomial: 4x^3y^3*(3x^3-7xy^2+2xy-y)..

https://brainly.com/question/20695867?referrer

[tex]3x^7 .4x^2.(-5)x^3=3.4.(-5).x^{7+2+3}=-60x^{12}[/tex]

ok done. Thank to me :>

The cattle at the Clinton Farm are fed 1/4 of a bale of hay each day. The horses are fed 2 times as much hay as the cattle. How many bales of hay are the horses fed each day?

Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

1/2 of a bale

Step-by-step explanation:

1/4 times 2 equals 1/2

Which equation represents a line which is parallel to the line y = -7/2x-3

Answers

You do not have the options listed, but I will tell you what the line needs:

[] A parallel line will need the same slope.

- The slope is our m in y = mx + b

[] What will this be for our problem:

- [tex]y=\frac{-7}{2}x-3[/tex]

- Our slope is [tex]\frac{-7}{2}[/tex]

[] So what will the line look like:

- [tex]y=\frac{-7}{2}x +?[/tex]

- Since you do not have the options listed, I cannot tell you the answer, but I can tell you the answer will have a slope of [tex]\frac{-7}{2}[/tex]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

PLEASEEEE HELP FOR BRAINLIST!!!!!!!!!

Answers

Same thing as before!

First, we can get rid of d(x) simply by looking at it because we can tell it's linear (it's a straight line). If we look at the table, we can see a(x) is also linear because it has a steady rate of growth. b(x) and c(x) both represent exponential growth. The curved shape of b(x) shows us this is exponential growth, and the exponent in c(x) tells us it's also exponential.

Anyone Can you please check the already done one, and the rest I just need help!!! please:

Answers

Answer:

yes your math seems about right but wait for someone else to respond also because im not completely sure

Step-by-step explanation:

please help i will give brainliest

Answers

[tex]\text{Given that,}\\\\\text{Width,}~ w = 3x-2\\\\\text{Length,}~ l = x+5 \\\\\\\text{Perimeter} =2(w+l) = 2(3x-2+x+5) = 2(4x +3) = 8x +6[/tex]

Can anyone help me with this

Answers

Answer:

  47.2°

Step-by-step explanation:

Triangles PRQ and SRQ are congruent by HL. In these right triangles, the acute angles are complementary.

angle PRQ  = angle SRQ = 90° -42.8° = 47.2°

The measure of angle PRQ is 47.2°.

A red die is tossed and a green die is tossed.what is the probability that a red die shows an even number or the green die shows an even number? Make sure your answer is reduced

Answers

Answer: 75%

Step-by-step explanation:

Since there are 3 even numbers on each die and 3 odd, each dice has a 50% chance of showing an even number.

An easier way to think about this might be what are the chances that both dice show odd, because that is the only scenario where neither show an even number.

To do this, simply multiply the chances together:

[tex]0.5 * 0.5 = .25[/tex]

Therefore, there is a 25% chance that both die will be odd, meaning there is a 75% chance that one or both of the dice show an even number

How would you describe the graph for the equation lxl=2 ?

Answers

Two units down, line of symmetry at x=0, decreasing from negative infinity to 0, increasing from 0 to infinity

solve for x (x-6)^2-5=0

Answers

Answer:

x=6+√5 or x=6−√5

HELPPP ITS DUE TMRRRRRRRRR

Answers

Answer: I think that it's -125/27

Step-by-step explanation: Convert into a complex fraction (-5/3)^3 and then cube the 5 and 3 and don't change the negative sign.  The answer then is -125/27

Hope it helps.

If the human heart beats an average of 68 beats in
a minute, how many times will it beat in 84 minutes?
А
5,712
B 5,612
152
5,702

Answers

5,712
Because you just have to multiply
A.5,712 if the human heart beats an average of 68 beats in a minute

What number comes in the blank?
20 x 47 x 5 = ____ x 100

Answers

Answer:

47

Step-by-step explanation:

20*47= 940

940*5=4,700

47*100=4,700

The correct answer should be 47.

20 x 47 x 5 = 100 x __
100 x 47 = 100 x __

heyyyy I rlly need help on this homework question its overdue and i need to turn it in :(

Tell whether the given value is a solution of the inequality 5+j>8.

Answers

Answer:

j>3

Step-by-step explanation:

hope this helps sorry if it doesn't have a great rest of your night :)❤

J>3 have a great day

Solve with elimination:
10a + 4b = 18
7a + 14 = b
solve for b

Answers

b=7a+14
Might help not sure if it’s correct
So first we want to plug in The equation for b

10a+4(7a+14)=18

(we use the distributive since we have 4 times of b)

when we solve it, we get a is -1

plug in -1 for a

7(-1)+14=7

b=7

plug it back in

10(-1)+4(7)=18

18=18

Hope this helps! :)

Hey can yall help me asap

Answers

Answer:

4 pieces of fruit

Step-by-step explanation:

48 divided by 12 = 4

28 divided by 7 = 4

1.
How fast is the area of a square increasing when
the side is 3 m in length and growing at a rate of
0.8 m/min?
A. 4.8 m2 /min
B. 1.875 m²/min
C. 3.25 m2 /min
D. 5.5 m² /min

Answers

Using implicit differentiation, it is found that the area of the square is increasing at a rate of:

A. 4.8 m²/min

The area of a square of side length l is given by:

[tex]A = l^2[/tex]

Applying implicit differentiation, the rate of change is given by:

[tex]\frac{dA}{dt} = 2l\frac{dl}{dt}[/tex]

The side is 3 m in length, hence [tex]l = 3[/tex].Growing at a rate of  0.8 m/min, hence [tex]\frac{dl}{dt} = 0.8[/tex]

Then:

[tex]\frac{dA}{dt} = 2l\frac{dl}{dt} = 2(3)(0.8) = 4.8[/tex]

Hence, option A is correct.

To learn more about implicit differentiation, you can take a look at https://brainly.com/question/25608353

Plzzzz help meeeeee plzzzzz

Answers

Answer:

i need points sorry

Step-by-step explanation:

What is an equation of the line that passes through the points (-6, -4)(−6,−4) and (3, 8)(3,8)?

Answers

Answer:

y = 4/3x + 4

Step-by-step explanation:

-4 - 8 / -6 - 3

-12 / -9

4/3 is slope

y = 4/3 x + b so we need to find b

Put one of the points in for y and x.

-4 = 4/3 (-6) + b

-4 = -8 + b

4 = b

y = 4/3x + 4

Gravitational energy_____.
A. is a type of potential energy
B. Is the energy of an object position
C. Is stored energy
D. All of the above
SOLVE QUICKLY PLEASE!!

Answers

Answer:

A. is the type of potential energy

Step-by-step explanation:

examples of gravitational potential energy : a raised in weight , a yoyo,water in a dam,a car parked on a hill

Find the 12th term of the geometric sequence 5,–25, 125, ...

Answers

Answer:

244140625

5¹²

it is a sequence of numbers in which each term is obtained by multiplying the preceding term by a constant. In other words, the ratio between a term and its preceding term is constant. And that constant is common ratio. Therefore, 12th term is 244140625.

An arts academy requires there to be 4 teachers for every 100 students and 5 tutors for every 60 students. How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 144 standents​?

Answers

Answer: 25 students per teacher and 12 students per tutor. They need 2.4 tutors for the school

Help me: Solve: z^4 = -4

All answers should be in the format a+bi where a and b are real numbers

Answers

z²-2i=0

Answer:

Solution given:

z⁴=-4

doing square root on both side

[tex]\sqrt{z⁴}=\sqrt{2²*-1}[/tex]

we know i²=-1

substituting i² we get

z²=[tex]\sqrt{2²*i²}[/tex]

z²=2i

z²-2i=0 is a required answer. where

z² and 2 is real number.

Answer:

  z = {-1 -i, -1 +i, 1 -i, 1 +i}

Step-by-step explanation:

Using Euler's formula, we can write the equation as ...

  z^4 = 4e^(i(π +2πn)) . . . . . . where n is any integer

Then the 4th root is ...

  z = (√2)e^(i(π +2πn)/4 = (√2)e^(i(π/4 +nπ/2)) . . . . . for n = 0–3

  z = √2(cos(π/4+nπ/2) +i·sin(π/4 +nπ/2)) . . . . . for n = 0–3

  z = ±1 ±i

  z = {1 +i, -1 +i, -1 -i, 1 -i}

_____

Additional comment

Values of n are only needed in the range 0–3, because the answers repeat for values other than those.

the sample space is 1,2,3,4,5,6 find p less than 0

Answers

Answer:

boom bam bam boom bam ba

Please help other people are saying different answers and I 'm confused

Answers

Answer:

x ≈ 35.6

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos16° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{37}[/tex] ( multiply both sides by 37 )

37 × cos16° = x , then

x ≈ 35.6 ( to the nearest tenth )

A=6,500(1.0175)^4t

How long would the person need to leave their money in the bank until it reaches $20,100? Round the nearest whole number!​

Answers

The time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years

Given the exponential equation expressed as:

[tex]A=6500(1.0175)^{4t}\\[/tex]

Given that A = 20100, Substituting into the expression will give;'

20100 = 6500(1.0175)^4t

20100/6500 = (1.0175)^4t

3.0923 =  (1.0175)^4t

Taking the ln of both sides

ln3.0923  = 4tln(1.1075)

4t = ln3.0923 /ln(1.1075)

4t = 1.12891/0.1021

4t = 11.05690

t = 11.05690/4

t = 2.76

t ≈ 3 years

Hence the time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years

Learn more on compound interest here: https://brainly.com/question/24274034

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