Follow the steps to solve the equation. Solve 3 sqrt x^2-7= 3 sqrt 2x+1

To solve the given equation,________ both sides.

100 points

Answers

Answer 1

Answer:

x = -2,4

(disclaimer plugging in -2 will give an imaginary number)

Step-by-step explanation:

3[tex]\sqrt{x^2-7}[/tex]=3[tex]\sqrt{2x+1}[/tex]

Divide both sides by 3

[tex]\sqrt{x^2-7}[/tex]=[tex]\sqrt{2x+1}[/tex]

Square both sides to cancel square roots

[tex]x^2-7=2x+1[/tex]

Move all the terms to the left side

[tex]x^2-2x-8=0[/tex]

Use the quadratic formula

[tex]x=\frac{2 +/- \sqrt{(-2)^2-4(1)(-8)}}{2(1)}[/tex]

which gives x= -2,4

OR factor the quadratic

(x-4)(x+2)=0

x= -2,4

Answer 2

The solution of the equation 3 sqrt x^2-7= 3 sqrt 2x+1 is,  x = -2,4

(disclaimer plugging in -2 will give an imaginary number)

What is 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. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

3√x²-7=3√2x+1

Divide both sides by 3

√x²-7=√2x+1

Square both sides to cancel square roots

x²-7=2x+1

Move all the terms to the left side

x^2-2x-8=0

Use the quadratic formula

x=2±√2-4(-8)/2

solving we get,

which gives x= -2,4

OR factor the quadratic

(x-4)(x+2)=0

x= -2,4

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Related Questions

I need help solving this

Answers

Step-by-step explanation:

f(x) = 4x²

g(x) = x + 1

= (fog)(x)

= f( g(x) g

= 4x²

= 4(x + 1)²

Option → C

S

If it takes someone t minutes to drive, run, or walk a mile, then their average speed s(t), in miles per hour, is

given by the formula

60

s(t) = 0

for t > 0

t

Find s(10) and s(12).

s(10) =

s(12) =

miles per hour

miles per hour

Answers

Answer:

The average speed here is 60 mph.

Step-by-step explanation:

We need to express the unit rate here.  That's the speed, which is defined as (distance) / (time):

                       1 mile

speed s(t) = ----------------

                       t (min)

We need to convert the unit of time (min) to the new unit of time (hrs):

                       1 mile           60 min

speed s(t) = --------------- * -------------- = 60 miles/hr = 60 mph

                       t (min)             1 hr

The average speed here is 60 mph.  This is not dependent on time, t, so we cannot calculate s(10) or s(12).  Because of this, s(t) = 60 mph.  The distance traveled in t hours is d(t) = s(t)*t.

Is 48 greater that 13/25?

Answers

Answer:

yes

Step-by-step explanation:

Help help help help math help help math help help

Answers

Answer:

They are not congruent.

Please help me help help me please help me out please please help please please help me please please help

Answers

Answer:

B

Step-by-step explanation:

An auditorium has 20 seats on the first row, 24 on the second row, 28 on the third row, and so on and has 30 rows of seats. How many seats are in the 30th row?

Answers

Answer:

136

Step-by-step explanation:

it adds for every time.

80 is 5% of what number?​

Answers

Answer:

1600

Step-by-step explanation:

1600 x 0.05 = 80

or

80 / .05 = 1600

Answer:

1600

Step-by-step explanation:

80 = 5 / 100 * x

80 * 100 = 5 * x

80 * 20 = x

x = 1600

Lisa's rectangular living room is 23 feet wide. If the length is 4 feet less than twice the width, what is the area of her living room?

Answers

The length is

2w - 4

Plug in the width

2(23) - 4

Length = 42

Area: length • width

42 • 23 = 966 ft^2

Which ordered pairs in the form (x, y) are solutions to the equation

4x−5y=24

Select each correct answer.


(1, −4)

(4, 8)

(6, 0)

(−9, −12)

Answers

Answer:

Step-by-step explanation:

Substitute the given points (x, y )

For (x= 1, y= -4)

     4x−5y = 24

4*1 −5* -4 = 24

    4 + 20 = 24

          24 = 24

For (x= 4, y= 8)

     4x−5y = 24

 4*4 −5*8 = 24

     16 -40 = 24

         -24 = 24 ❌

For (x= 6, y= 0)

     4x−5y = 24

4*6 −5* 0 = 24

       24 -0 = 24

          24 = 24

For (x= -9, y= -12)

       4x−5y = 24

4*-9 −5*-12 = 24

    -36 + 60 = 24

              24 = 24

possible answers: 1, 2, 3, or 4

Answers

Answer:

1

Step-by-step explanation:

BECAUSE 173.45 is a decimal and you must use a calculator to provide the answer trust me

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{173.45 = 1.7345\times10^?}[/tex]

[tex]\mathsf{1.7345\times10^? = 173.45}[/tex]

[tex]\mathsf{It\ cannot\ be: 1.7345\times10\bold{^1}\ because\ that \ gives\ you\ \boxed{\bf 17.345}}\\\large\textsf{\bf Option A isn't your answer.}[/tex]

[tex]\mathsf{173.45\neq17.345}[/tex]

[tex]\mathsf{It \could \ possibly \ be: 1.7345\times10\bold{^2}\ because\ it \ gives\ you\ \boxed{\bf 173.45}}\\\large\textsf{\bf Option B. could possibly be your answer.}[/tex]

[tex]\mathsf{173.45=173.45}[/tex]

[tex]\mathsf{It \ cannot\ be: 1.7345\times10\bold{^3}\ because\ it\ gives\ you \ \boxed{\bf 1,734.5}}\\\large\textsf{\bf Option C. isn't your answer.}[/tex]

[tex]\mathsf{173.45\neq1,734.5}[/tex]

[tex]\mathsf{It\ cannot\ be: 1.7345\times10\bold{^4}\ because\ it\ gives\ you \ \boxed{\bf 17,345}}\\\large\textsf{\bf Option D. isn't your answer}[/tex]

[tex]\mathsf{173.45\neq 17,345}[/tex]

[tex]\large\text{Based on the information we have now, we have met your answer}[/tex]

[tex]\huge\boxed{\heartsuit\ \mathsf{= 173.45 =1.7345\times10\boxed{\bf^{2}}\ \heartsuit}}[/tex]

[tex]\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{Option\ B.\ 2}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

$10.50 marked down 60%​

Answers

Answer:

orange -> green

Step-by-step explanation:

You will will get 4.2

5(10-1)
48÷*4+4)
20-(4-(10-8)
40÷4-(5-3)
show your work​

Answers

Answer:

1. 45

2. 6

3. 120

4. -20

Step-by-step explanation:

1. First you take 10-1=9x5=45

2. First you take 4+4=8 then 48/8=6

3. First you take 10-8=2x4=6x20=120

4. First you take 5-3=2-4=-2/40=-20

I hope this helped!

Robert took a math test and got 36 correct and 14 incorrect answers. What was the percentage of correct answers?

Answers

Answer:

72% correct

Step-by-step explanation:

Determine the solutions for the equation x2 + 3x + 5 = 0

Answers

Answer:

x2 +3x + 5=0

x(2+3)=5-0

x(5)=5

5x=5

5x\5=5\5

x=1

Which angle is supplementary to the angle DCF in this diagram.

Answers

The measure of BCF is 45 degrees showing it is the angle supplementary to the angle DCF

Supplementary angles

Questions are known to be supplementary if the sum of the angles is 180 degrees.

From the given diagram, the measure of the angle DCF is 135 degrees

Determine the measure of the supplementary angle

<x = 180. - 135

<x = 45 degrees

From the diagram, you can see that the measure of BCF is 45 degrees showing it is the angle supplementary to the angle DCF

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How many gallons are in 20 quarts?

1 gallon = 4 quarts

Answers

there are 5 gallons in 20 quarts

Answer:

5 gallons are in 20 quarts

Step-by-step explanation:

1gal=4 quarts

20 divided by 4 is 5

can anyone heelp me plzzzz plzzzz

Answers

Answer:

no entiendo :C

Step-by-step explanation:

PLS FOR THE LOVE OF ALL THINGS HOLY HELP ME

Answers

Answer:

1. 2 2. 24 3. 8 4. 240

Step-by-step explanation:

1. 1 pen costs 2 dollars

2. 12*2=24

3. 40/5=8

4. 8*30=240

Please please help please help me please please help me out

Answers

Answer:

y=1/3x+2

Step-by-step explanation:

Solve the equation by factoring. Check your solution. If there are multiple solutions, list the solutions from least to greatest separated by a comma. 6x2−2x=0

Answers

Answer:

  x = 0, 1/3

Step-by-step explanation:

The greatest common factor is 2x. Factoring that out, we have ...

  2x(3x -1) = 0

The solutions will be the values of x that make the factors 0.

  x = 0

  3x -1 = 0   ⇒   x = 1/3

The solutions are x = 0, 1/3.

_____

Check

x = 0   ⇒   6·0² -2·0 = 0   ⇒   0 - 0 = 0 . . . true

x = 1/3   ⇒   6(1/3)² -2(1/3) = 0   ⇒   6/9 -2/3 = 0 . . . true

Sam has a budget of $24 to buy ham and cheese to make sandwiches. If he bought only ham, he could buy 8 lb. If he bought only cheese, he could buy 3 lb. Let x represent the amount of ham and y represent the amount of cheese. Write an equation in standard form to model the different amounts of ham and cheese he can buy.

Answers

Answer:

Step-by-step explanation:

Solve for y.

-2+2(6y+7)=9y
y=

Answers

Y=-4
-2+12y+14=9y
12+12=9y
12y=9y-11
3y=-12
Y=-4

Answer:

y=-4

Step-by-step explanation:

Distribute:

−2+12+14=9

Add the Numbers:

12+12=9

Rearange the Terms:

12+12=9

Subtract 12 from both sides:

12+12−12=9−12

12=9−12

Subtract 9y from both sides:

12−9=9−12−9

3=−12

Divide both sides of the equation by the same term:

3y/3=12/3

Answer:

=−4

Kendra owns a restaurant. She charges 8.20 for 2 eggs and toast. And 14.05 for 4 eggs and 3 toasts. How much does it cost for 3 eggs and 4 toast.


HELP ME PLS I BEG

Answers

Step-by-step explanation:

For 3 eggs, it would cost 24.6

For 4 toasts, it would cost 32.8

Does this help?

What is the value of -2(8-(-2))
-8(17-12)
?
1 )
-2
02
O4

Answers

Answer:

C. 2

Step-by-step explanation:

[tex]\frac{-8(17-12)}{-2(8-(-2))}[/tex]

Subtract inside the parenthesis inside the numerator.

[tex]\frac{-8(5)}{-2(8-(-2))}[/tex]

Multiply -8 and 5 in the numerator.

[tex]\frac{-40}{-2(8-(-2))}[/tex]

Rewrite the denominator knowing that x - (-y) = x + y.

[tex]\frac{-40}{-2(8+2)}[/tex]

Add inside the parenthesis in the denominator.

[tex]\frac{-40}{-2(10)}[/tex]

Multiply -2 and 10 in the denominator.

[tex]\frac{-40}{-20}[/tex]

Rewrite the fraction knowing that (-x)/(-y) = x/y.

[tex]\frac{40}{20}[/tex]

Divide 40 by 20 to get: 2.

I need help on all three problems

Answers

So for the first one you just have to see how much the cost goes up per day

How do you do and simplify 8/9 + (-5/6)
Over
1/6

These are fractions btw

Answers

Answer:

5 89/100

Step-by-step explanation:

If there is a negative sign in the denominator of any of the fractions, shift the negative sign(s) to the numerator:

-5/6=5/6

Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:

5/6÷1/6=5/6×6/1

Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

(5 × 6) / (6 × 1) =30 / 6

The Greatest Common Factor (GCF) of 30 and 6 is 6. The result can be simplified by dividing both the numerator and denominator by 6.

30/6= (30 ÷ 6) / (6 ÷ 6) = 5

therefore..

-5/6÷1/6= 5

qns

8/9 + {(-5/6) / (1/6)} = 8/9 + 5 = 5 8/9

Combine the whole numbers and fractions together:

(0 + 5) + (8/9+0)

The whole numbers part is:

0 + 5 = 5

For the fractions part:

The Least Common Multiple (LCM) of 9 and 1 is 9. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:

8/9+0=8/9+0 × 9=8/9+0/9

Now that the fractions have like denominators, add the numerators:

8/9+0/9=(8+0)/9=8/9

Put the whole number and fraction together:

5 +8/9=5 8/9

The result is:

8/9+5=5 8/9

three and fourteen thousandths written as a decimal

Answers

Answer:

0.314

Step-by-step explanation:

Answer:

3.0014

Step-by-step explanation:

from 5x² - 6x + 8, subtract 3x² - 2x - 4​

Answers

Answer:

Step-by-step explanation:

2x squared-4x+4

Answer:

-2

Step-by-step explanation:

HOPE THIS HELPS

Let f(x)=x2
If g(x) is the graph of f(x) shifted left 6 units, write a formula for g(x)

Answers

Answer:

g(x)=x2-6 aaàaaàaaaaaaaaaaaaaaaaaaaaaaa

F(x)=x2+6
Left is +/ right is -

Use the frequency table below to find the average score students earned on a
test.
Score
Frequency
65
6
70
10
75
16
80
12
85
8
90
6

Answers

So you would multiply the frequency to the score because finding the average is adding everything. then you add those numbers up. then, add up the frequency to get your divisor. After you divide you take your number and round to the hundreth or tenth

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