All categories

2 years ago

What is the error in the equation

Mathematics

1 answer:

dimulka [17.4K]2 years ago

4 0

Answer:

The fifth line contains the error.

Step-by-step explanation:

Line 1 is the equation.

Lines 2, 3, and 4 are correct.

The error is in the 5th line.

The square root of a negative number is not a real number, so if this problem is solved only with real numbers, there is no solution.

If imaginary numbers are allowed, then the last line should read:

$x = \pm\dfrac{i\sqrt{11}}{2}$

You might be interested in

Simplify 3x + 5x + 14x

navik [9.2K]

Simply collect all the like terms together
So..3+5+14 is 22x

3 0

3 years ago

Read 2 more answers

E) Natasha's parents want to support Natasha by saving $5000 for her college. They searched up for some investment options and c

Bas_tet [7]

Answer:

Amount she would have in 2 years at a simple interest of is

$5000 + ($5000 x 0.048 x 2) = $5480

Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :

$5000 x ( 1 +0.041/2)^4 = $5422.78

the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose

Step-by-step explanation:

Future value with simple interest = principal + interest

Interest = principal x interest rate x time

0.048 x 5000 x 2 = 480

future value = $480 + 5000 = $5480

The formula for calculating future value with compounding:

FV = P (1 + r)^nm

FV = Future value

P = Present value

R = interest rate

m = number of compounding

N = number of years

5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78

8 0

2 years ago

Amber went on a road trip over winter vacation. She recorded how far she had traveled in the table below in relation to the numb

svlad2 [7]

Answer:

Step-by-step explanation:

it shows every 4 hours, so:

560-336=224

224:4=56 per hour

6 0

2 years ago

A cone has a height 25 ft and a radius of 7 ft. Is a reasonable that the volume of this cone is 100 ft3? Why or why not?

Nostrana [21]

Answer:

Step-by-step explanation:

the radius squared is 49 times π, which is roughly 3 means the area of the base is roughly 150 ft².

This means that one third of the height cannot be more than 100 / 150 = 2/3 of a foot. That makes the height about 2 ft, much less than the reported 25 ft.

3 0

3 years ago

Madelyn has x nickels and y dimes, having a maximum of 15 coins worth no

aliina [53]

9514 1404 393

Answer:

2 nickels, 9 dimes

Step-by-step explanation:

When there are a number of overlapping shaded areas on the graph, I find it convenient to use the reverse of the inequalities. That makes the <em>unshaded</em> area the solution space. Here, the vertices of the triangular solution space are ...

(2, 9), (2, 13), (6, 9)

Any of the grid points within (or on) this triangle is a possible solution. One of them is (2, 9) corresponding to 2 nickels and 9 dimes.

Three solutions are shown:

(x, y) = (2, 9), (3, 10), (4, 11)

4 0

2 years ago