Solve: sqrt(x+9) = x-3

Answers

Answer 1
The answer is (x-3) = 2 lol
Answer 2

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[tex] \sqrt{x + 9} = x - 3[/tex]

Sides gets power 2

[tex] ({ \sqrt{x + 9} })^{2} = ( {x - 3})^{2} [/tex]

[tex] |x + 9| = {x}^{2} - 6x + 9 [/tex]

_________________________________

[tex]x + 9 = {x}^{2} - 6x + 9[/tex]

Subtract sides 9

[tex]x + 9 - 9 = {x}^{2} - 6x + 9 - 9[/tex]

[tex]x = {x}^{2} - 6x[/tex]

Subtract sides x

[tex]x - x = {x}^{2} - 6x - x[/tex]

[tex] {x}^{2} - 7x = 0[/tex]

[tex]x(x - 7) = 0[/tex]

[tex]x = 0[/tex]

OR

[tex]x - 7 = 0[/tex]

[tex] x = 7[/tex]

_________________________________

[tex]x + 9 = - ( {x}^{2} - 6x + 9)[/tex]

[tex]x + 9 = - {x}^{2} + 6x - 9[/tex]

Subtract sides 9

[tex]x + 9 - 9 = - {x}^{2} + 6x - 9 - 9 \\ [/tex]

[tex]x = - {x}^{2} + 6x - 18 [/tex]

Subtract sides x

[tex]x - x = - {x}^{2} + 6x - 18 - x [/tex]

[tex] - {x}^{2} + 5x - 18 = 0[/tex]

Multiply sides by -1

[tex] {x}^{2} - 5x + 18 = 0 [/tex]

[tex]x = No \: \: solution[/tex]

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CHECK the roots :

[tex]x = 0[/tex]

[tex] \sqrt{0 + 9} ≠0 - 3[/tex]

[tex] \sqrt{9} ≠ - 3[/tex]

[tex]3≠ - 3[/tex]

Thus (( x = 0 )) is unacceptable.

+++++++++++++++++++++++++++++++++++++++

[tex]x = 7[/tex]

[tex] \sqrt{7 + 9} = 7 - 3[/tex]

[tex] \sqrt{16} = 4[/tex]

[tex]4 = 4[/tex]

Thus (( x = 7 )) is the only solution for x.

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Done...

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Related Questions

The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is the probability that you wait longer than one hour for a taxi? (b) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within next 10 minutes? (c) Determine xx such that the probability that you wait more than xx minutes is 0.10. (d) Determine xx such that the probability that you wait less than xx minutes is 0.90. (e) Determine xx such that the probability that you wait less than xx minutes is 0.50

Answers

Answer: a)0.025 b)0.63 c)23 d)1.053 e)6.93

Step-by-step explanation:

E(x)= 10

It is a continuous random variable, so calculating for ✓, we have

10=E(x)1/✓

✓=1/10=0.1

1)P(x>60)=1-F(60)=e^0.1x60=0.0025

2) Employing lack of memory property, we have, P(X<70|X>60)=P(X<10)= F(10)=1-e^-0.1x10= 0.63

3) for 0.1, x= -1/0.1 ln0.1= 23

4) for 0.9, x= -1/0.1 ln 0.9= 1.053

5) for 0.5, x -1/0.1 ln 0.5= 6.3

Tomika uses 619 inches of wire to make a necklace and 313 inches of wire to make a bracelet.
How many necklace and bracelet sets can she make if she uses 2813 inches of wire in all?
Enter your answer in the box.
sets

Answers

Answer:

2,796.

Step-by-step explanation:

First, I added 619 + 313, which is 932. Since she is able to use more, I multiplied it by two to get me 1,864. If I tried multiplying it by three, I would get 2,796, which is a perfect amount.  

When
When 7 is subtract from three times a certain number the result is 28 what is the number

Answers

Answer:

x=49

Step-by-step explanation:

you replace the unknown with a variable (x)

you subtract 7 three times, so it x-7-7-7=28 or x-21=28

you add 21 to both sides, then you get x=49

IM 18 MY number is 920-896-1733 if want to text ;0

Answers

Answer:

Don’t wanna

Step-by-step explanation:

y = 9 - 1
What is this ?

Answers

y=8

your teacher is introducing algebra


Which table is correct for y = -3/2X + 5

Answers

Answer:

we need the tables.

Step-by-step explanation:

What is the probability of
rolling a 6?
Simplify the fraction
Enter the number that belongs in the green box.

Answers

Answer:

1/6

Step-by-step explanation:

There are 6 different outcomes when rolling a fair dice.

You can roll a:

1

2

3

4

5

or

6

There is one outcome we want. Probability=number of desirable outcomes/total number of options.

1= number of desired outcomes

6-=total number of outcomes

1/6

3/4x +3/2x=9/4
What is the answer to this

Answers

x = 1 would be the answer

work: 3/4 + 3/2 (make denominators equal)

3/2 times 2 = 6/4

3/4 + 6/4= 9/4
The answer would be 1 or x=1

Six more than four times a number is equal to eight added to three times the same number. Find the number

Answers

6+4x=8+3x

-3x     -6

x=2

the number is 2

hi pls help! i'll give brainliest +30 points

Answers

Answer:

Option 3

Step-by-step explanation:

Because only the constant is changed.

Patricia bought 21 loaves of bread for $16.59.
including tax. How much does each loaf of bread
cost??

Answers

Answer:

Each loft was $0.70 cents?

Step-by-step explanation:

$16.59/ 21 =$0.70

I just read the including tax part. How much was the tax?

Answer:

$.84

Step-by-step explanation:

16.59 * .06 = .9954

.9954 + 16.59 = 17.5854

17.5854 / 21 = .8374

.8374 rounded to the nearest hundredth is .84

The sum of two consecutive even integers is 70. Find the integers

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Answer:

It is 34 and 36.

Step-by-step explanation:


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Answers

When we evaluate the quotient functions, (mn)(x) for x = -3

(mn)(-3) = 9 and (m/n) (x), x ≠ 0

How did we evaluate the quotient function?

To evaluate the quotient function (mn)(x) for x = -3, we  substituting x = -3 into the function mn(x).

This gives us (mn)(-3) = m(-3) × n(-3) = (-3)² × (-3) = 9.

We then need to evaluate (m/n)(x), x ≠ 0.

This is done by dividing the function m(x) by the function n(x). This gives us (m/n)(x) = m(x) / n(x) = x^2 / x = x. However, this expression is undefined when x = 0, because division by zero is undefine

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Analyzing Angle Pair Relationships Parallel lines p and q are cut by transversal r. On line p where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 1, 2, 4, 3. On line q where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 5, 6, 8, 7. m∠3 is (3x + 4)° and m∠5 is (2x + 11)°. Angles 3 and 5 are . The equation can be used to solve for x. m∠5 = °

Answers

Given:

Parallel lines p and q are cut by transversal r.

m∠3=(3x + 4)° and m∠5=(2x + 11)°.

To find:

The relation between ∠3 and ∠5, then find the measure of angle 5.

Solution:

Parallel lines p and q are cut by transversal r as shown in the below figure.

From the figure it is clear that ∠3 and ∠5 are alternate interior angle. So, the values of these angles are equal.

[tex]m\angle 3=m\angle 5[/tex]

[tex](3x+4)^\circ=(2x+11)^\circ[/tex]

[tex]3x+4=2x+11[/tex]

Therefore, the required equation to solve for x is [tex]3x+4=2x+11[/tex].

Isolate variable terms.

[tex]3x-2x=11-4[/tex]

[tex]x=7[/tex]

The value of x is 7.

Now,

[tex]\angle 5=(2x+11)^\circ[/tex]

[tex]\angle 5=(2(7)+11)^\circ[/tex]

[tex]\angle 5=(14+11)^\circ[/tex]

[tex]\angle 5=25^\circ[/tex]

Therefore, the measure of angle 5 is 25°.

This graph represents −2x+y=4.

Which ordered pair is in the solution set of −2x+y≥4?



(2, −1)

(−2, −1)

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(2, 1)

Answers

Answer:

-2,1

Step-by-step explanation:

Answer:

the answer is (-2,1)

What is the slope of the line on the graph?
10
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Enter your answer in the box

Answers

Answer:

Slope = -2

Step-by-step explanation:

use the formula y2-y1 over x2-x

Pick two points from the graph

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X= 3 and -3

Y= -6 and 6

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Convert the following fraction to a decimal: ⅖ *


Answers

2/5 as a decimal is 0.4
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Help me solve this problem please

Answers

the correct answer is (2,2) and (5,2)

7 - 3(5x - 10) - 67

Answers

Answer:

−15x+−30

Step-by-step explanation:

Distribute:

=7+(−3)(5x)+(−3)(−10)+−67

=7+−15x+30+−67

Combine Like Terms:

=7+−15x+30+−67

=(−15x)+(7+30+−67)

=−15x+−30

Answer:

Step-by-step explanation:

66

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43%.
2 3
is

Answers

Answer:

1. 2/3 = 66.66%2. 43%

Thank you ☺️

ANSWER IT ANSWER IT!

Answers

Answer:

A perfect square means that all side are EXACTLY equal. I hope this helps!

Step-by-step explanation:

In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number

Ajay says that if you take a square number and multiply it by its
square root, you will always end up with a cube number.
Show that Ajay is correct.

Answers

Example: What is 3 squared?

3 Squared== 3 × 3 = 9

"Squared" is often written as a little 2 like this:

This says "4 Squared equals 16"

(the little 2 means the number appears twice in multiplying, so 4×4=16)

Square Root

A square root goes the other direction:

3 squared is 9, so a square root of 9 is 3

It is like asking:

And electronics store chain sells headphones The company is about to introduce a new headphones model that is expected to sell very well across its various stores. The projected revenue and cost functions for the headphones are R(x)=-0.25x+25x and c(x)= -17+90. What is the profit function

Answers

Answer:

[tex]P(x) = -0.25x^2 + 42x - 90[/tex]

Step-by-step explanation:

Given

[tex]C(x) = -17x + 90[/tex]

[tex]R(x) =- 0.25x^2 + 25x[/tex]

Required

Determine the profit function.

Profit function is calculated as thus:

[tex]P(x) = R(x) - C(x)[/tex]

So, we have:

[tex]P(x) = -0.25x^2 + 25x -(-17x + 90)[/tex]

[tex]P(x) = -0.25x^2 + 25x + 17x - 90[/tex]

[tex]P(x) = -0.25x^2 + 42x - 90[/tex]

If h(x) = 20 +5, find h(2)

Answers

Answer:

I think the answer is 50

Step-by-step explanation:

thats how i learned in school i dont remember tho

Re-write the quadratic function below in Standard Form y = 2(x + 5)² + 3.​

Answers

Answer:

[tex]2x^{2} +20x+53[/tex]

Step-by-step explanation:

2(x^2 + 10x + 25) + 3

2x^2 + 20x + 50 + 3

2x^2 + 20x + 53

Write each decimal as a mixed number in simplest form.
6. 3.6

7. 10.4

8. 2.11

Answers

Answer:

3 and 3/5

10 and 2/5

2 and 11/10

Step-by-step explanation:

Write the equation of a line that is parallel to y=2/3x+7 and goes through the point (6,9).

Answers

Answer:

m1=m2 condition for parallelism

m1=m2= 2/3

= y-7/x_6

y=2/3x +3

A line passes through the points(-6,-3) and (6,-3). which of the following points are also on the line
A.(-3,0)
B.(6,0)
C.(0,-3)
D.(-6,0)

Answers

Answer:

C. (0, -3)

Step-by-step explanation:

The red point is (-6, -3)

The blue point is (6, -3)

The only answer that fits through the line that those two would make is (0, -3)

Please mark Brainliest! I need it to level up!!

Which situation requires the use of the cube root?
A. Determine the surface area of a cube given the side
B. Determine the volume of a cube given the side
C. Determine the side of the cube given the volume
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Answers

Answer:

C

Step-by-step explanation:

Mathematically, the volume of a cube of side L is given as;

V = L^3

Now, given V and we want to find L, what we shall simply do is to find the cube root of both sides

By finding the cube roots of both sides, we can easily get the value of the side of the cube in question

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Please help me

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Answer:

9990.

Step-by-step explanation:

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