Solve the equation √7x-6=x-2. Identify any extraneous solutions. Show your work

Answers

Answer 1
√7x-6=x-2
(√7x-6)^2=(x-2)^2
7x - 6 = x^2 - 4x + 4
x^2 - 11x + 10
(x - 1)(x - 10) = 0

x = 1 and x = 10

√7(1)-6 = 1-2 is false, so 1 is an extraneous solution

√7(10)-6 = 10-2 is true, so it is a solution.

Related Questions

5. A factory produces 1000 cans of juices in 5 days. How many cans will it produce in 15
days?

Answers

Answer:

3000

Step-by-step explanation:

How do you write 2,020 in scientific notation?

Answers

Answer:

a x 10b or 2.02 x 10³

Step-by-step explanation:

Have a great day!

I NEED HELP ON NUMBER 2 PLEASEEEEE

Answers

Answer:

523.5miles

Step-by-step explanation:

Marcus traveled 65mph for 3.5hrs and 74mph for 4hrs. To find his total traveled distance we need to multiply the mph by the number of hours.

65x3.5=227.5mi

74x4=296mi

Add the number of miles together.

227.5+296=523.5miles

Hope this helps :)

Translate sum of 4 and the quotient of n and 9

Answers

Step-by-step explanation:

The quotient of n and 9:

n / 9

Sum of 4 and the quotient:

4 + (n/9)

If there is 1/4 ounces of yeast in every 2 and 1/4 teaspoons and you need 2 teaspoons how many ounces of yeast is needed

Answers

Answer:

It's probably 1/4

Step-by-step explanation:

What is hypothesis and axioms?​

Answers

Answer:

Hypothesis-  scientific prediction that can be tested or verified

Axioms- statement which is assumed to be true

Step-by-step explanation:

State of the two triangles are congruent. If they are, state how you know.
See picture for full problem. Please and thank you!

Answers

Answer:

in the quest the double angle sign means they are congruent as well as they have a common side if you label them.

factories x squared +5x / 6

Answers

Answer:

x(x+5)/6

Step-by-step explanation:

How many sides does a regular polygon have if each interior angle measures 176^{\circ}

Answers

Answer:

90 sides

Step-by-step explanation:

There is a relationship between number of sides and interior angle measure of regular polygons:

S = 180(n - 2), where S- sum of interior angles, n - number of sides

We have now:

176n = 180(n - 2)176n = 180n - 3604n = 360n = 90

It's equilateral polygon

Sum of interior angles=176n.

n is no of sides

[tex]\\ \sf\longmapsto (2n-4)90=176n[/tex]

[tex]\\ \sf\longmapsto 180n-360=176n[/tex]

[tex]\\ \sf\longmapsto 180n-176n=360[/tex]

[tex]\\ \sf\longmapsto 4n=360[/tex]

[tex]\\ \sf\longmapsto n=4[/tex]

Complete the sentences to tell about the number 55.
The factors of 55 are ________________________________________. I know that
55 is a (prime / composite) number because ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Answers

Answer:5 10 15 and so on

Step-by-step explanation:it is numbers that are in the 55 times table

Answer:

Factors of 55: 1, 5, 11 and 55.

Prime Factorization of 55: 55 = 11 × 5.

What is a vector quantity ?

Answers

Answer:

Vector, in physics, a quantity that has both magnitude and direction.

Answer:

Vector in physics, a quantity that has both magnitude and direction.

m = – 3; (2, 2) help pls

Answers

Answer:

try  maltpling 3 *2*2

Step-by-step explanation:

my bibi’sister need a answer she don't know the answer, she need your help​

Answers

13. 12008.

14. 59286.

15. 21459.

16. 80478.

17. 130567.

18. 11100.

19. Seventy-two thousand, one hundred eighty.

20. Eighty thousand, seven hundred eighty-six.

Hope This Helps...:)

if angle a = x+33 and angle d = 2x what is angle a

Answers

The answer must be standard


What is the approximate solution to this?

Answers

6x=In(6)
x= 1
- x In (6)
6

Rewrite x2 - 8x + 13 = 0 in the form (x -a)2= b, where a and b are integers, to determine the a and b values.
O a = 4 and b = 3
O a = 3 and b = 2
O a= 2 and b = 1
O a = 1 and b = 4

Answers

Answer:

a =4 and b= 3

Step-by-step explanation:

Stare at it for a bit. You have the squre of x, then(ignoring the minus sign) 2 times x times 4. What's left is the square of 4, which is 16; you have 13, you are 3 short. Let's add them to both sides:

[tex]x^2-8x+13+3=3 \rightarrow x^2-8x+16 = 3\\(x-4)^2 = 3[/tex]

so a =4 and b= 3

Find the perimeter of the rectangle

Answers

Answer:

Perimeter: 4x+14

Step-by-step explanation:

The Formula for perimeter is P = 2L + 2W

So apply it:

L = x+7

W = x

[tex]P=2x+2\left(x+7\right)[/tex]

[tex]P=4x+14[/tex]

if there are 60 millions barrels and 34% gas and 29% diesel how many barrels are there total

Answers

Answer:

gas barrels = 20,400,000

diesel barrels = 17,400,000

other barrels =  22,200,000

Step-by-step explanation:

Total barrels = 60,000,000

gas = 34%   of the barrels

diesel = 29% of the barrels

others = 37% of the barrels     100% - 34% - 29% = 37%

How many of each type of barrels?

60,000,000 ×  34% = gas barrels ;   60,000,000 × .34 = 20,400,000

60,000,000 × 29% = diesel barrels; 60,000,000 × .29 = 17,400,000

60,000,000 × 37% = other barrels;   60,000,000 × .37 = 22,200,000

 Check: Total  barrels  60,000,000                                 = 60,000,000                                    

Please help!

Find the difference quotient (f(x + h) - f(x))/h where h ne0 , for the function below . f(x) = 2x ^ 2 - 9 Simplify your answer as much as possible .

Answers

The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].

In this exercise we must apply the definition of derivative, which is described below:

[tex]f'(x) = \lim_{x \to 0} a_n \frac{f(x+h)-f(x)}{h}[/tex] (1)

If we know that [tex]f(x) = 2\cdot x^{2}-9[/tex], then the derivative of the expression is:

[tex]f'(x) = \lim_{h \to 0} \frac{2\cdot (x+h)^{2}-9-2\cdot x^{2}+9}{h}[/tex]

[tex]f'(x) = 2\cdot \lim_{h \to 0} \frac{x^{2}+2\cdot h\cdot x + h^{2}-2\cdot x^{2}}{h}[/tex]

[tex]f'(x) = 2\cdot \lim_{h \to 0} 2\cdot x + h[/tex]

[tex]f'(x) = 4\cdot x[/tex]

The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].

We kindly invite to check this question on derivatives: https://brainly.com/question/23847661

Solve the equation.

2x+4+8x=24

Answers

2x + 4 + 8x = 24

2x + 8x = 24 - 4

10x = 20

x = 20 ÷ 10

x = 2

____

Hope it helps!

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂ ❤

Answer:

[tex]\boxed{\boxed{\sf x=2}}[/tex]

Step-by-step explanation:

[tex]\sf 2x+4+8x=24[/tex]

Combine like terms:

[tex]\sf 2x+8x+4=24[/tex][tex]\sf 10x+4=24[/tex]

Subtract 4 from both sides:

[tex]\sf 10x+4-4=24-4[/tex][tex]\sf 10x=20[/tex]

Divide both sides by 10:

[tex]\sf \cfrac{10x}{10}=\cfrac{20}{10}[/tex][tex]\sf x=2[/tex]

____________________________

If x=5 and y=3 find the value of x+2y

Answers

Answer:

x=5

y=3

then ,

x+2y= 5+2 *3

= 5+6

= 10

A half gallon of milk costs $1.89. Based on this price, about how much would 12 gallons of milk cost?

Answers

Answer:

45.36

Step-by-step explanation:

pleas mark brainlest

Answer:

$22.68

Step-by-step explanation:

$1.89 times 12

please help me answer this question!

Answers

Answer:

equation: y = -5/4xslope: -5/4point: (0, 0)

Step-by-step explanation:

The slope is found using the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (0 -5)/(0 -(-4)) = -5/4

  slope = -5/4

The second point can be used to keep it simple.

  point: (0, 0)

Point-slope equation:

  y -0 = -5/4(x -0)

  y = -5/4x . . . . . . . simplified

What is a good estimate for 280% of 30? Explain.

Answers

Answer:

84

Step-by-step explanation:

Calculator:280÷100×30=84

Answer:

84

Step-by-step explanation:

3x-4y=
3x−4y=
\,\,9
9
-5x+4y=
−5x+4y=
\,\,-23
−23

Answers

Answer: (7,3)

Step-by-step explanation:

[Please check]:   I decoded the equations as follows:

3x-4y=9 and −5x+4y=-23

We can solve this by either of two methods:  Algebra and graphing.

Algebra:

Add the two equations:

  3x-4y=9

−5x+4y=-23

-2x = -14

   x = 7

Use x=7 to solve for y:

3x-4y=9

3(7)-4y=9

21 -4y = 9

-4y = -12

y = 3

----

The solution is (7,3)

======

Graphing:

See the attached graph.  The lines intersect at (7,3)

Please help I don’t understand this

Answers

Answer:

The area is 24

Step-by-step explanation:

Divide the quadrilateral into 4 triangles (two identical at the top and two identical at the bottom).

Then find the area of each triangle and add it all together

Area of Triangle= (base x height)/2

(3 x 3)/2  +  (3 x 3)/2  + (5 x 3)/2  + (5 x 3)/2

this equation gives us 24 as the area

Find the first 5 terms of the sequence a1= -4, an = 3an-1 -2 for n > 1.

Answers

Answer:  -4, -14, -44, -134, -404

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

Explanation:

The notation [tex]a_1 = -4[/tex] tells us that the first term is -4.

To generate the next term, we'll use the recursive rule [tex]a_n = 3*a_{n-1}-2[/tex] which is probably better written as [tex]a_n = 3*(a_{n-1})-2[/tex]. That rule says: "Whatever the previous term is, multiply by 3 and subtract off 2 to get the next term".

This means,

2nd term = 3*(1st term) - 2 = 3*(-4)-2 = -143rd term = 3*(2nd term) - 2 = 3*(-14)-2 = -444th term = 3*(3rd term) - 2 = 3*(-44)-2 = -1345th term = 3*(4th term) - 2 = 3*(-134)-2 = -404

Therefore, the first five terms are: -4, -14, -44, -134, -404

A comic book store is having a sale. You can buy 20 comic books for 35$. What is the cost of 8 books during the sale?

Answers

Answer:

$14

No explanation yet.

Answer:

$14

Step-by-step explanation:

14 dollars

How to solve absolute value inequalities khan academy.

Answers

Answer:

Step-by-step explanation:

I cant even see anything can you reupload your answer, please?

A student earned $175 last week. She worked 35 hours. How much did she earn per hour?

DO NOT GIVE A LINK AS AN ANSWER

Answers

Answer:

should be 5

Step-by-step explanation:

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