All categories

4 years ago

Solve the equation: 12=19-√3x-11

Mathematics

2 answers:

blondinia [14]4 years ago

5 0

Step 1 :Isolate the square root on the left hand side :

Original equation
 12 = 19-√3x-11

 Isolate
 √3x-11 = -12+19

 Tidy up
 √3x-11 = 7

Step 2 :Eliminate the radical on the left hand side :

Raise both sides to the second power
 (√3x-11)2 = (7)2

 After squaring
 3x-11 = 49

Step 3 :Solve the linear equation :

Rearranged equation
 3x -60 = 0

 Add 60 to both sides
 3x = 60

 Divide both sides by 3
 A possible solution is :
 x = 20

Step 4 :Check that the solution is correct :

Original equation, root isolated

√3x-11 = 7

 Plug in 20 for x
 √3•(20)-11 = 7
 Simplify
 √49 = 7
 Solution is:
 x = 20

One solution was found : x = 20

Alekssandra [29.7K]4 years ago

4 0

The answer is x=20. You isolate the square root. Eliminate the radical on the left handside. And then solve it!

You might be interested in

What number is bigger 5.8 tenths or 0.58

77julia77 [94]

5.8 is bigger than 0.58

6 0

3 years ago

Find the mean of this set of numbers. 9, –6, –8, 11, –4, 10

Karolina [17]

The answer is A. You add all the numbers together and get 12 then you divide it by 6 and get 2

7 0

3 years ago

a group of scientists studied the amount of erosion at a beach. the scientists determined that the equation y=-0.5x+26 models th

Ahat [919]

Take into account that x represents the number of decades after 1950. Moreover, consider that -0.5x is a decrease in the values of y, each decade.

Then, you can conclude that each decade, that is, every 10 years, the shoreline reduces 0.5 feet.

Hnece, you have:

The shoreline is reduced by 0.5 foot every 10 years

4 0

1 year ago

Which value of x is a solution to this equation?

Ilya [14]

Answer:

Solve the equation:

2x² − 4x + 16 = 0
x² - 2x + 8 = 0
x² - 2x + 1 + 7 = 0
(x - 1)² + 7 = 0
(x - 1)² = -7

There is no solution as the square of the number can't be negative

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

Note if the equation was 2x² - 4x - 16 = 0, the solution would be:

2x² - 4x - 16 = 0
x² - 2x - 8 = 0
x² - 2x + 1 = 9
(x - 1)² = 3²
x - 1 = ± 3
x = -2, x = 4

In this case x = -2 is the correct choice

3 0

3 years ago

Read 2 more answers

Can someone find F(12). i really have no idea... Please and thank you?

posledela

Answer: 909.03

Step-by-step explanation:

We know that the equation is an exponential function, it can be written as y=ab^x

$100 &=a b^{6.5} \dots \mathrm{Equation \ 1} \\11 &= a b^{1} \\$

$\Rightarrow ab^1=11$

$\Rightarrow \frac{ab^1}{b}=\frac{11}{b};\quad \:b\ne \:0$

$\Rightarrow a=\frac{11}{b}$

a = 11/b, substitute it in equation 1

$100 &=a b^{6.5}$

$\Rightarrow 100=\left(\frac{11}{b}\right)b^{6.5}$

$\Rightarrow 100b=11b^\frac{11}{2}$

$\Rightarrow 11\sqrt{b^{11} } =100b$

$\Rightarrow \sqrt{b^{11} } =\frac{100}{11}}$

$\Rightarrow {b^{11} } =\frac{10000}{121}}$

$\Rightarrow {b} =\frac{\sqrt[11]{10000 \cdot 11^9} }{11}$

$\Rightarrow {b} = 1.49379$

a = 11/b

a = 11/(1.49379)

a = 7.36382

Equation: y = (7.36382)(1.49379)^x

Now plug in 12 for x:
$\Rightarrow { \left(7.36382\right)\left(1.49379\right)^{12}$

$\Rightarrow 7.36382\cdot \:1.49379^{12}$

$\Rightarrow 7.36382\cdot \:123.44530\dots$

$\Rightarrow 909.03$

Therefore, f(12) = 909.03 for the exponential function

6 0

2 years ago