Given the equation −4square root of x minus 3 = -12, solve for x and identify if it is an extraneous solution.
A. x = 0, solution is extraneous
B. x = 0, solution is not extraneous
C. x = 12, solution is extraneous
D. x = 12, solution is not extraneous

Answers

Answer 1

Answer:

D.    x = 12, solution is not extraneous

Step-by-step explanation:

-4√(x - 3) = -12

Divide both sides by -4

√(x - 3) = 3

Square both sides

x - 3 = 9

add 3 to both sides

x = 12

To see if it's extraneous plug into original problem

-4√(12 - 3) = -12

-4√(9) = -12

-4 * 3 = -12

-12 = -12

not extraneous


Related Questions

f(x)=x^2-5 find f(7)

Answers

Answer:

44

Step-by-step explanation:

substitute the 7 into the equation for x

f(x) = [tex]x^{2}[/tex] - 5

f(7)  = [tex]7^{2}[/tex] - 5

f(7) = 49 - 5

f(7) = 44

Answer:

f(7) = 44

Step-by-step explanation:

To evaluate the function f(x)=x^2-5 at x = 7, replace each instance of 'x' in this function by 7:

f(7) = 7^2 - 5 = 49 - 5 = 44

So:  f(7) = 44

Use the number line to find the measure of SV please help

Answers

Answer:

8

Step-by-step explanation:

count up from where s is (-7) to where v is (1) there are 8 numbers in between them. making that he length

Answer:

S= -7 to V= 1 so your answer is 8

Find the value of x in the isosceles triangle shown below.

Answers

x²+16=20
x²=4
x=sqrt(4)
x=2

Hope this helps!!

Can anyone help me out

Answers

Answer:

12k^5 +24k⁴+30k³

Step-by-step explanation:

the area = 6k³(2k²+4k+5)

= 12k^5 +24k⁴+30k³

10 POINTS!!!! no work needed so just answer this 2 question hurry.

Answers

Answer:

Q19 - x = 7

Q20 - x = 24

Step-by-step explanation:

Q19.

75 + x + 8 = 90°

83 + x = 90°

x = 90 - 83

x = 7

{CHECK: 75 + 7 + 8 = 90°}

Q20.

3x - 6 + x = 90°

4x - 6 = 90°

4x = 96

x = 96 / 4

x = 24

{CHECK: 3(24) - 6 + 24 = 90°}

hope this helps...

have a great day ahead ;)

please help i will give brainliest thank you

Answers

Answer

MULTIPLY 2.2 & 5.5

Step-by-step explanation:

A tiger eats about 15 pounds of food per day. A large dogs eats about 18 ounces of food per day. How many more pounds of food does a tiger eat per day?
A) 12 3_4pounds
B) 13 1_2pounds
C) 13 7_8pounds
D) 14 1_9pounds

Answers

Answer:

B

Step-by-step explanation:

C
There are 16 ounces in a pound, so a tiger eats 240 ounces. A tiger eats 222 ounces more than a large dog, which is equal to 13 7/8 pounds.
Hope this helps!!

The diagram shows squares 1,2, and 3 constructed on the sides of a right triangle. Which statement about the squares must be true?

Answers

Answer:

Option D.

Step-by-step explanation:

Remember the Pythagorean theorem.

For a triangle rectangle of catheti A and B, and hypotenuse H, we have:

A^2 + B^2 = H^2

Now, also remember that for a square of sidelength L the area is:

area = L^2

First, you can see that square 1 has a side length equal to one of the catheti, and the same for square 2. While square 3 has a side lenght equal to the hypotenuse of the triangle.

If we define:

A = length of the smaller cathetus

then the area of square 1 is:

A^2

B = length of the larger cathetus.

The area of square 2 is then:

B^2

H as the length of the hypotenuse:

The area of square 3 is:

H^2

And by Pythagorean theorem we know that:

A^2 + B^2 = H^2

We can replace these by:

area of square 1 + area of square 2 = area of square 3.

Then the correct option is D.

The diagram below is a kite. Find the slope of each side of the kite then use that information to explain why the kite is NOT a
parallelogram
Your answer might look like this (you can copy-paste the sentences below and fill in the blanks)
The slope of the side AB is The slope of the side CD is_
The slope of the side BC is
The slope of the side AD is
Finding the slopes tell me that the kite is NOT a parallelogram because

Answers

Step-by-step explanation:

the answer is in the above image

please give me brainliest

If AGHJ ~ ALMK, with a scale factor of 5:6,
find the perimeter of AGHJ.

Answers

Answer:

35

Step-by-step explanation:

Perimeter of LMK = 14 + 11 + 17

Perimeter of LMK = 42

Perimeter GHJ/ Perimeter LMK = 5/6

Perimeter GHJ / 42 = 5/ 6                      Cross Multiply

6*Perimeter GHJ = 42 * 5

6*Perimeter GHJ = 210                           Divide by 6

Perimeter GHJ = 210/6

Perimeter GHJ = 35

(12 POINTS)If you can’t help out it would mean so much ty!!!

Answers

Pretty sure it’s the third one. It already says the initial height, 25 feet, so u plug that in for the third term. Although it says the initial speed of 70 miles per hour, you’re supposed to have it in feet per second as states in the first part. To turn 70 miles to feet, multiply by 5280. This gives you 369600 feet. It also needs it in seconds, not hours. So divide 369600 by 60 as there are 60 seconds in an hour. You get 6160. Plug that in for the second term and u should get the third one.

The width, w , of a rectangle is 4 less than 6 times the length, r that would find the area.

Answers

Answer:

Width = w

Length = 4w + 6

Area = 130 in2

Area = W X L = 130

So, w X (4w + 6) = 130

4w2 + 6w = 130  by distributing

-130           -130

4w2 + 6w - 130 = 0

Step-by-step explanation:

Answer:

Area = 6L² - 4L

Step-by-step explanation:

Let length be L

Given Width, w is 4 less than 6 times length :

That is ,

6 times length = 6 L

4 less than 6 times length means = 6L - 4

Therefore Length  =  L

               Width = 6L - 4

Area = Length x Width

       = L x ( 6L - 4)

       = 6L² - 4L

The perimeter of the square below is 36 yards. What is the length of each side?

Answers

Answer:

A square has all its four sides equal. So the length of one side is equal to the perimeter devided by four

Answer:

9 yards

Step-by-step explanation:

A square has 4 congruent sides

Given the perimeter, the sum of the 4 sides is 36 yards, then

length of side = 36 ÷ 4 = 9 yards

ZA and ZB are complementary angles. If m A = (2x – 13) and m
ZB = (4x - 5), then find the measure of ZB,

Answers

Answer:

43º

Step-by-step explanation:

complementary angles total 90

(2x - 13) + (4x - 5) = 90

Combine like terms

6x - 18 = 90

6x = 72

x = 12

ZB = 4x - 5

ZB = 4(12) - 5

ZB = 43º

Which table shows a function that is decreasing only over the interval (–1, 1)?

Answers

Answer:

A

Step-by-step explanation:

first graph

Answer:

A

Step-by-step explanation:

first graph


This square and a triangle have the same area.
8 cm
? cm
9 cm
What is the length of one side of the square??
cm

Answers

Answer:

[tex]18cm[/tex]

Step-by-step explanation:

A of triangle =

[tex] \frac{1}{2} bh[/tex]

[tex] \frac{1}{2} \times 9 \times 8[/tex]

[tex] = 36cm2[/tex]

A of square=

[tex]s2[/tex]

[tex]36 = s2[/tex]

[tex] \sqrt{36cm2} = \sqrt{s2} [/tex]

[tex]18cm = s[/tex]

A boat sails due south from a port at a steady speed of 9km/h. The wind blows the boat due west at a speed of 3km/h. How far is the boat from the port after one hour?

I need to figure this out with the formula a2 + b2 = c2
We are solving for c2 - the hypotenuse.

Answers

Answer:

10

Step-by-step explanation:

a^2+b^2=c^2

9^2+3^2=c^2

81+9=c^2

100=c^2

c=10

When you find the surface area of a cube, you ________ the length of the cube and
multiply by 6

Answers

Answer:

The word for the blank would be "square".

Step-by-step explanation:

Since the area of a face of a cube would be square its side length, the total surface area of a cube would be that times 6.

Hope this helped!

Answer:

square

Step-by-step explanation:

the area of a cube is found by squaring the length

WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing

Answers

Answer:

Step-by-step explanation:

sorry dont know ut

I believe the answer is D

What are the apparent coordinates of the midpoint of ab

Answers

Answer:

A. [tex](-1,-2)[/tex]

Step-by-step explanation:

Hope this helps you.

( -4, 1 ) and ( 2 , -5 )

Now,

mid point = ( 2 - 4 )/2 , ( -5 + 1 )/2

= ( -2 /2 ) , ( -4 /2)

= ( - 1, - 2 )

A ( - 1, - 2 )

I hope it's help you...

Mark me as brainliest...

The solution of the equation3^×=2 is

Answers

Answer:

x = log 2 / log 3

x=0.63092

Step-by-step explanation:

3^×=2

Take the log of each side

log 3^×= log2

We know that log a^b = b log a

x log 3 = log 2

Divide each side by log 3

x = log 2 / log 3

x=0.63092

Answer:

x ≈ 0.63093

Step-by-step explanation:

[tex] \small \sf \: 3 {}^{x} = 2[/tex]

Take the log of both side

[tex] \small \sf \: log 3 {}^{x} = log 2[/tex]

Use log a( a ^ x ) = x to simplify the equation

x log 3 = log 2

Divide each side by log 3

x = log 2 / log 3

x ≈ 0.63093

PLEASE HELP! Find code (answer)

Answers

Answer:

code = 56

Step-by-step explanation:

E = GCF(22,30) = 2

F = LCM(3,8) = 24

Given

3 * (7+10) = G +30 => 51 = G + 30 => G = 21

5 * (3+H) = 15 + 45 => 3+H = (60/5)  = 12 => H = 12 - 3 = 9

Sum E + F + G + H = 2 + 24 + 21 + 9 = 56

Answer:

code would be 56

Step-by-step explanation:

hope this helps mate !

HOW DO YOU DO THIS I KNOW ITS EASY BUT I FEEL LIKE IM DOING IT WRONG

Answers

Answer and Step-by-step explanation:

We're given an isosceles triangle, because it says the two side are congruent. That means the base pairs are congruent as well, meaning the other angle (not x) is 75.

We know that the sum of a triangle's angles is 180, so if we subtract the known angles, we can find x.

180 - 75 - 75 = x

30 = x

So, x = 30.

#teamtrees #PAW (Plant And Water)

We know that a triangles full degree is 180 and we can see that this triangle is symmetrical. So first you add 75 to 75 and get 150, then you subtract 150 from 180 and get 30.

x=30

Can I please have a brainliest? I want to rank up

Select the correct answer. The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30 pages, what can you conclude? A. About 60% of the books have fewer than 150 pages. B. About 16% of the books have fewer than 150 pages. C. About 95% of the books have more than 150 pages. D. About 16% of the books have more than 150 pages.

Answers

Answer:

c

Step-by-step explanation:

Solve for x:
5 + 3x = 8x - 15

Answers

Answer:

4 =x

Step-by-step explanation:

5 + 3x = 8x - 15

Subtract 3x from each side

5 + 3x-3x = 8x-3x - 15

5 = 5x -15

Add 15 to each side

5+15 = 5x -15+15

20 = 5x

Divide each side by 5

20/5 = 5x/5

4 =x

Can someone please help

The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake

Answers

Answer:

The answer is below

Step-by-step explanation:

The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake, . Which equation could be used to find the intensity of an earthquake with a Richter scale magnitude of 4.8 in reference to an earthquake with an intensity of 1?

Solution:

The Richter magnitude scale was developed in 1935 by Charles F. Richter. The Richter scale is used to measure the strength of earthquakes.

The magnitude of an earthquake (M) using a Richter scale is given by:

[tex]M=log(\frac{I}{I_o} )\\\\Where\ I\ is\ the\ intensity\ of\ the \ earthquake,I_o\ is \ the\ intensity\ of\\the\ reference\ earthquake.\\\\Given\ that\ M=4.8,I_o=1.\ Hence:\\\\4.8=log(\frac{I}{1} )\\\\4.8=log(I)\\\\I=e^{4.8}\\\\I = 121.5[/tex]

Use long division to find the quotient below.
(2x² - 5x-3) + (x-3)
O A. X-1
B. X+1
O C. 2x-1
O D. 2x + 1

Answers

Answe

Đáp án: A

Step-by-step explanation:

A ball is thrown from an initial height of 4 feet with an initial upward velocity of 30 feet per second. Find all values of t for which the ball's height is 17 feet.

Answers

Answer:

0.43 seconds

Step-by-step explanation:

Given Data

Initial height= 4feet

initial velocity u= 30ft per second

Final height = 17 feet

The distance travelled is the

Final-initial height

=17-4

=13ft

Hence the time taken is calculated using the expression below

Speed= distance/time

30=13/t

t= 13/30

t= 0.43 seconds

Hence the time taken is 0.43 seconds

a car company reduced the amount of cars produced from 500000 to 420000. what is the percent decrease in the amount of car produced?

Answers

Decrease = 500000 - 420000 = 80000
Percent decrease = 80000 / 500000 x 100% = 16%

Use of word “amount” is irritating as in English this only used for measurements.
“Number” of cars would be better grammar.

pls say the answer :( pls say it

Answers

Refer to the pic ...(◕ᴗ◕✿)✌️✌️

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