Need help with math.

Answer:

miguel did

Step-by-step explanation:

i just did this

Answer:

D=4

Step-by-step explanation:

a. The solution of the equation x + 2 = √3x + 10 is x = -3 or x =2.

b. Extraneous solution is x= -3.

c. Extraneous solution does not satisfy original equation.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

As given in the question,

Given equation :

x + 2 = √3x + 10

a. Squaring both the sides

( x + 2 )² = ( √3x + 10 )²

⇒ x² + 4x + 4 = 3x + 10

⇒ x² + x - 6 =0

⇒ x² + 3x -2x -6 =0

⇒ ( x+ 3) ( x -2) =0

⇒ x= -3 or x = 2

b. Extraneous solution:

x = -3

-3 + 2 = √3(-3)+ 10

⇒ -1  ≠ 1 extraneous solution.

x= 2

2+ 2 =√3(2) +10

⇒4 = 4 not extraneous.

c. Extraneous solution does not satisfy original equation

Therefore, the solution of the equation is x = -3 or x=2and its extraneous solution is x =-3. Extraneous solution does not satisfy original equation.

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The complete question is :

Use the equation below to answer these questions.

x + 2 = √3x + 10

a) What is the solution to the equation?

b) What is the extraneous solution? Why?

c) In general, what is an extraneous solution?

Answer: Choice C

Domain:  x < -2

Range: y > 1

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

Explanation:

When going from the original function [tex]f(x)[/tex] to its corresponding inverse [tex]f^{-1}(x)[/tex], or vice versa, the roles of x and y swap places. The inverse undoes whatever the original function does.

This swap means that the domain and range also swap as well. The original domain x > 1 becomes the range y > 1 for the inverse. The range y < -2 in the original becomes x < -2 which is the domain of the inverse.

The domain and range of the inverse functions are:

We know that two functions are inverses if:

f( g(x)) = x

g( f(x)) = x

So, the domain of f(x) is the range of g(x), and the range of f(x) is the domain of g(x).

Then the domain and range of the inverse function are:

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Answer:

103

Step-by-step explanation:

I think

Answer:

(2x-1) (2x+2)

4^2+2−2

Hope This Helps!!!

Answer:

x = 2

Step-by-step explanation:

Answer = 1.8

Step 1) 3 ÷ 2.7 = 0.900

Step 2) 0.900 x 2 = 1.8

Time taken by the person to walk the boardwalk to the end and back is 0.9 hours.

Given that, The Coney Island Boardwalk is 2.7 miles long.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

A person walks at the average speed of 3 mph.

We know that, speed = Distance/Time

= 2.7/3

= 0.9 hours

Hence, time taken by the person to walk the boardwalk to the end and back is 0.9 hours.

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Answer:

Well you got 1/4 + 1/12

So we have to have the same denominator in order to solve this

So by finding a common multiple, you would be able to solve this

So in this case is the common multiple.

we already have a 12 so we leave that be.

We need to convert 1/4 to x/12

To Do that we multiplying it by 3

so 3/12 + 1/12

Now add normally and keep the denominator

4/12

or 1/3

Answer:

[tex]\sf \cfrac{1}{4}+\cfrac{1}{12}[/tex]

First find the Least Common Denominator (LCM) of 4, 12.

Join the denominators.

Answer:

4 x 10^6

Thanks! Have a great day! :)

Answer:

7/10

Step-by-step explanation:

Try 7/10

(7/10)^2=49/100

Answer:

C≈13.19 cm

Step-by-step explanation:

The circumference of a circle equation is C=2πr. Use the circumference of a circle equation and substitute the radius for 2.1. Then, you can calculate 2·π·2.1. The answer to the circumference of a circle is about 13.1946. Finally, you round to the nearsest hundredths place, so the answer is about 13.19 cm.

Work

C=2πr

C= 2·π·2.1

C≈13.1946≈13.19

Answer:

SAS

Step-by-step explanation:

The triangles are similar by SAS. Two side lengths are given, and we know that vertical angles are congruent.

It is not SSS because we do not know the side lengths of FG and BC.

It is not AA because we do not know two angle measurements.

Answer:

36

Step-by-step explanation:

9+9+9+9=36 or 9 times 3

HOPE IT HELPS Y'ALL:)

Answer:

2y = 12 is a function

Step-by-step explanation:

In the graph of a function, the value of the x-value in an ordered pair can not be use only once.  The graph in the other problems shows that the same x-value was used more than one time.

Answer:

Step-by-step explanation:

four times the sum of a number and 9 is 16

4 *(x + 9) = 16

4x + 36 = 16

4x = 16 - 36

4x = -20

x = -5

---------------

4 * (-5 + 9) = 16

16 = 16

true

Answer:

-7=h

Step-by-step explanation:

−3=h+8÷2

−3=h+4

−3-4=h+4-4

-3-4=h

-7=h

[tex]y=mx +c ,~~\text{Where m is the slope.}\\\\y= -2x+17 ~~\text{In this case m= -2, c =17}[/tex]

Answer:

It should be the last one because rigid transformations doesn't change in size just where it is

SAS................

.........................

Answer:

B, C, F

Step-by-step explanation:

There are 5 cupcakes in store B worth 6.95

to find out each cupcake, you divide 6.95 by 5

the answer is 1.39, which is lower than 1.45!

same concept for the others

Hope this helps and a thank won't hurt! :)

Answer:

The solution is (2,-2)

Step-by-step explanation:

please look at the image below.

Answer:

x^2+3=h

to make x the subject of the formula,move 3 to the other side making it negative

x^2 = h + 3

to take out the square,take the square root of both sides.

√x^2 = √ h + 3

x = √ h + 3.

you can ask me questions privately when confused .

Answer:

what?

Step-by-step explanation:

The solution of the expression (- 3 - x) (x + 42) (x - 16) will be;

⇒ - x³ - 29x² + 564x + 2,496

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ (- 3 - x) (x + 42) (x - 16)

Now,

Solve the expression as,

⇒ (- 3 - x) (x + 42) (x - 16)

⇒ (- 3x - 156 - x² - 42x) (x - 16)

⇒ (- x² - 45x - 156) (x - 16)

⇒ - x³ + 16x² - 45x² + 720x - 156x + 2,496

⇒ - x³ - 29x² + 564x + 2,496

Thus, The solution of the expression (- 3 - x) (x + 42) (x - 16) will be;

⇒ - x³ - 29x² + 564x + 2,496

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Answer:

$4,800.00 might be the answer if I did it right.

Answer:  x=-1-2 square root 7

Step-by-step explanation:

Answer:

its 1/4 .............1/2/2=1/4

I hope it helped u

Answer:

1/4

Step-by-step explanation:

the way you do this is by multiplying 1/2 by 1/2