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

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!

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.

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.

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!

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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]

____________________________

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

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:

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:

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)

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

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 :)

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

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

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)

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

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.

m = – 3; (2, 2) help pls

Answers

Answer:

try  maltpling 3 *2*2

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]

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 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 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:

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

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                                    

factories x squared +5x / 6

Answers

Answer:

x(x+5)/6

Step-by-step explanation:

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

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

Answers

The answer must be standard

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...:)

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:


What is the approximate solution to this?

Answers

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