solve x= √x+7 +5
check for extraneous solutions

(pls show work)

Answers

Answer 1

Answer:

x = 9

Step-by-step explanation:

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

[tex]x=\sqrt{x+7} +5[/tex]

Step 1: Flip the equation.

[tex]\sqrt{x+7} +5=x[/tex]

Step 2: Add -5 to both sides.

[tex]\sqrt{x+7} +5-5=x-5[/tex]

Step 3: Solve Square Root.

[tex]\sqrt{x+7} =x-5[/tex]

[tex]{x+7} =(x-5)^2[/tex] (Square both sides)

[tex]x+7=x^2-10x+25[/tex]

[tex]-x^2+11x-18=0[/tex]

[tex](-x+2)(x-9)=0[/tex] (Factor left side of equation)

[tex]-x+2=0[/tex]   or  [tex]x-9=0[/tex] (Set factors equal to 0)

x = 2 or x = 9

x = 2 (Doesn't work on the original equation)

x = 9 (Works in the original equation)

Answer:

x = 9


Related Questions

i inserted a picture can you please help i dont get it thanks :)

Answers

Answer:

3V/pi r2=h

Step-by-step explanation:

pi is piπ


QUESTION: Use the two way table below to answer the question: How
many chemical engineers chose science as their favorite subject? *

The table shows the results of a survey about what the engineers said their favorite subject was in middle school

Answers

Answer:

B.91

Step-by-step explanation:

Because it says so on the table.

Find the area of the rhombus

Answers

Answer:

area of rhombus=d1×d2=1/2(5+5)×(10+10)=1/2 10×20=100m²

The area of the rhombus is 100 m².

We have,

The area of a rhombus.

Area = (diagonal A* diagonal B) / 2 _____(1)

Now,

From the figure,

Diagonal A = (5 + 5) = 10 m

Diagonal B = (10 + 10) = 20 m

Substitute the values in (1).

Area of the rhombus.

= 1/2 x (10 x 20)

Simplify the expression.

= 1/2 x 200

= 100 m²

Thus,

The area of the rhombus is 100 m².

Learn more about Rhombus here:

https://brainly.com/question/27870968

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Over a two hour time period a snail moved 50 inches. How far is this in yards? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.

Answers

Answer:

1.3 yards

Step-by-step explanation:

Answer:

1 7/18 yards or 1 14/36 yards.

Step-by-step explanation:

There are 36 inches in a yard, so you divide 50 by 36.

You get a variety of answers depending on what form you want it in:

1 yard 1 foot and 2 inches.

1 yard and 14 inches.

These two answers take two forms as fractions of 36:

1 14/36 yards

or simplified: 1 7/18 yards.

7515.904 rounded to nearest tenth

Answers

Answer:

7515.9

Step-by-step explanation:

Tenth is basically like 1 decimal point.

0-4 round dowm 5-9 round up

if AK= 29 what is KP?

Answers

Answer:

29/2

Step-by-step explanation:

29/2(centriod theroum)

if my answer helps please mark as brainliest

Which of the following are accurate factors of 4x2 + 5.0 – 21 when multiplied together? Select the two correct answers.
(2 points)
(40 - 7)
0 (x + 2)
(52 -3)
0 (+3)

Answers

Answer:

First and last

Step-by-step explanation:

(4x - 7) (x + 3)

FOIL

4x^2 + 5x - 21

PLEASE HELP !!! ILL GIVE BRAINLIEST!! *DONT SKIP* ILL GIVE 40 POINTS.

Answers

Answer:

The point on the graph is 4,21.

The left side or y is 3 every time and under or x is 1 each time.

1st point is 0,3 I think.

Step-by-step explanation:

Answer:

(4,21)

Step-by-step explanation:

x is the bottom line and y is the straight line (x,y) (I think)

algebra
3(x — 5) + 2(3х + 1) = 45

Answers

Answer:

Step-by-step explanation:

Work out the value of 3 \times(3^2 + 4) - 83×(32+4)−8.845

The first three terms of a geometric sequence are as follows.
-7, 14, -28
Find the next two terms of this sequence.
Give exact values (not decimal approximations).
-7, 14, -28, CI

Answers

-7,14,-28,56,-112

an = a1(r)^n-1

a4 = -7(-2)^4-1

a4 = -7(-2)³

a4 = -7(-8)

a4 = 56

an = a1(r)^n-1

a5 = -7(-2)^5-1

a5 = -7(-2)⁴

a5 = -7(16)

a5 = -112

#CarryOnLearning

Water has a density of 1g/cm3, corn syrup has a density of 1.38 g/cm3, corn oil has a density of 0.925 g/cm3, and glycerol has a density of 1.26 g/cm3. If you put all 4 liquids together in a container, what order would the layers of liquid be, starting from the bottom to the top? Explain your answer.

Answers

from bottom to top - corn syrup, glycerol, wafer and corn oil at the top, because the densiest ones sink

Maliha thinks of a number x write an expression for the number Maliha gets when she multiples the number by 3

Answers

Answer:

3x

Step-by-step explanation:

Answer:

3x = y

Step-by-step explanation:

Sylvia set a goal of saving at least $200 in a savings account.
She currently has $60 in the account. If she invests $5 of her weekly allowance per
week, how many weeks will it take her to reach her goal?
Write the inequality to the problem.

Answers

Answer:

60+5x>200

Step-by-step explanation:

This is the answer

HELP EASY IF YOU KNOW SPANISH

Answers

Answer:

14 is "Yo tengo"

15 is Qué tienes en tu mochila?

An atom of a certain element has 21 protons, 21
electrons, and a mass number of 45. How many
neutrons are in this atom?

Answers

45-21=24 neutrons :)

As the generally accepted mass of an electron is 0. So, to find the mass of neutrons, minus the protons from the total mass.

the graph represents the x^2+y^2=8. Use the graph to answer questions 6,7,8.

6. look at the graph of the equation x^2+y^2=8. give its domaim and range

7. use algebraic means to show that x^2+y^2=8 is not a function. Explain your process.

8. is there any value(s) of the domain of x^2+y^2=8 that passes the verticle line test? if so, name the value(s) and state whether or not the existence of this value makes this relation a function. You can use Desmos to help you explore this idea, if needed.

Answers

Using the concepts of domain and range, we have that:

6. Both the domain and the range of the relation are [-2.826, 2.826].

7. The relation is not a function, as each value of x is associated with two values of y, that is: [tex]y = \pm \sqrt{8 - x^2}[/tex].

8. From item 7, we get that there are no points that pass the vertical line test.

What are the domain and the range of a function?

The domain of a function is the set that contains all the values of the input. In a graph, it is represented by the values of x.The range of a function is the set that contains all the values of the output. In a graph, it is represented by the values of y.

Hence, from the graph of the circle, for item 6, both the domain and the range of the relation are [-2.826, 2.826].

A relation is a function only if each value of x is related to only one value of y. Solving the equation of the circle for y, we have that:

x² + y² = 8.

y² = 8 - x²

y = ±sqrt(8 - x²).

Hence each value of x is related to two values of y, meaning that it is not a function, and for item 8, there are no points that pass the vertical line test.

More can be learned about domain and range of functions at https://brainly.com/question/10891721

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3/5 - 3/10

Help for points

Answers

Answer:

3/10

Step-by-step explanation:

3/5 - 3/10 = 6/10 - 3/10 = 3/10



Jollibee employs a total of 10 cashiers and 15 kitchen crews. The manager selects a team of 2 cashiers and

4 kitchen crews for a graveyard shift. In how many ways can the manager select a team?

Answers

Answer:

The manager can select a team in 61425 ways.

Step-by-step explanation:

The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In how many ways can the manager select a team?

2 cashiers from a set of 10.

4 kitchen crews from a set of 15. So

[tex]T = C_{10,2}*C_{15,4} = \frac{10!}{2!(10-2)!}*\frac{15!}{4!(15-4)!} = 45*1365 = 61425[/tex]

The manager can select a team in 61425 ways.

How many shirts do they have altogether
Lee has 7x - 12 shirts and Bruce has
11x + 3 shirts. How many shirts do they
have altogether?

Answers

Answer:

18x - 9

Step-by-step explanation:

[tex](7x - 12) + (11x + 3)\\7x - 12 + 11x + 3\\18x - 9[/tex]

the answer is..
18x - 9
explanation-

11x + 3
7x - 12 (combine like terms)

combine the x’s
11x + 7x = 18x

combine the other numbers!
-12 + 3 = -9

put them together (bc you can’t further any math they are different)
18x - 9

9.
A line has equation 6x + 2y + 9 = 0
(a) Find the gradient of the line.
(b) Find where the line crosses the y-axis

Answers

Search in safari I need points

Find the a10 for the sequence a n =(3)(2)^ n

Answers

The answer would be 1536

Please help with my question

Answers

Answer:

the answer is: A

Step-by-step explanation:

31/2×12/3=3 2/6

I got 4 2/6, hoped I help

PLEASE HELP ME!!!!! I NEED HELP ASAP!!! Thank you

Answers

Answer

the answer is 90 (C)

Step-by-step explanation:

Beth = x

Caroline = 60 + x (because if Beth has 60 less than Caroline then Caroline has 60 more than Beth)

Since the ratio = 1/3 ( another way of writing 1:3) then x/60+x = 1/3

3x = 60 + x

3x - x = 60

2x = 60

x = 60/2

x = 30 (Beth has 30 stickers)

Caroline has 60 + x stickers = 60 + 30 = 90

3x^2yz^3-9x^3y^2z^2+12x^2y^3z^2

Answers

3×2=692047 82837=284749×2484r133.e9274

Which graph represents the function f(x) = [x] — 4?

Answers

I’m not seeing no image but I hope this helps you

Which angle is complementary to <4?

<2
<1
<6
<3

Answers

The answer would be 3

Hope this helps

Have a great day/night

Answer:

<2

Step-by-step explanation:

Clearly <4 and <5 are complementary,

Since <5 is equal to <2 as Vertically Opposite Angles.

Choose the three rectangles that have a perimeter of 36 inches.

Answers

Step-by-step explanation:

The three rectangles that have perimeter of 36 inches are

A. C. and D

Just check by using the formula of perimeter of rectangle ; 2 (L + b)

Hope it will help :)

Home Depot sells an $1850 gas grill on the installment plan. The installment agreement includes a 20% down payment and 12 monthly payments of $160.

What is the total cost of the grill on the installment plan?

Answers

Answer:

Total cost of the grill installment plan = 2290

Step-by-step explanation:

370 + 1920 = 2290

Calculate the area of the circle below.
Is the radius or diameter given? diameter
The area of the cirle is :
32 in

Answers

Answer:

The area of the circle is 100.48; the diameter is shown.

Step-by-step explanation:

The formula for finding the area of a circle is 3.14 (or pi) multiplied by the diameter.  3.14*32= 100.48

The radius is half of the diameter, or half of the circle. However, this drawing shows the whole distance of the circle, so the diameter is shown.

The length of the base of a right triangle is 18 cm and a height is 9 cm what is the area of the triangle

Answers

The answer is 81cm^2.
The formula is height multiplied by base divided by 2.
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