All categories

2 years ago

Find the small positive integer solution that solves the equation. if there is no solution, type NONE.

Mathematics

1 answer:

Degger [83]2 years ago

7 0

9514 1404 393

Answer:

x = 7

Step-by-step explanation:

The equation can be rewritten to ...

8x = 13n +4 . . . . for some integers x and n

x = (13n +4)/8

For x to be an integer, 13n must be an odd multiple of 4. Since 13 is an odd number, n=4 will do.

x = (13·4 +4)/8 = 56/8

x = 7

The graph shows a "trial and error" method of solution. Only values of x less than 13 need to be examined.

You might be interested in

The average distance in miles traveled in one hour if 660 miles can be covered in 1.5 hours

mariarad [96]

Answer:

440

Step-by-step explanation:

1.5 hours he 90 minutes

660/ 90=7.333

7.333*60 (which is how many minutes in an hour = 440 miles

6 0

3 years ago

I need help with my math work.

Lesechka [4]

There's not much math work here, they just want you to eyeball the graph and give the closest grid point to where the two lines meet.

Let's translate the question.

Solution to the system

That's the x and y values where the two lines cross. That's because the meeting point is the value of x and y that satisfies both equations.

Approximation ... to the nearest integer values

Where two integer grid lines cross is called a lattice point. It's a point with integer coordinates. Our solution, the meet of these two lines, doesn't fall exactly on a lattice point. The nearest integer values means the closest lattice point to our intersection of lines.

Eyeballing the graph, I'd say (x,y)=(2,3) is the closest point.

Answer: (2,3) second choice

6 0

3 years ago

Raymond has taken a position as the navigator on a speed boat racing team. The team entered a race that starts at Daytona Beach,

erik [133]

Using the rules of cosines, the measure of the turn between the second and third legs of the race is given by

$\cos^{-1}\left( \frac{180^2+160^2-140^2}{2\times180\times160} \right)=\cos^{-1}\left( \frac{32,400+26,600-19,600}{57,600} \right) \\ \\ =\cos^{-1}\left( \frac{39,400}{57,600} \right)=\cos^{-1}(0.6840)\approx47^o$

4 0

3 years ago

Read 2 more answers

Solve for x in the equation x2 + 4x-4=8.

iren [92.7K]

${x}^{2} + 4x - 4 = 8 \\ = > {x}^{2} + 4x - 4 - 8 = 0 \\ = > {x}^{2} + 4x - 12 = 0 \\ = > {x}^{2} + 6x - 2x - 12 = 0 \\ = > x(x + 6) - 2(x + 6) = 0 \\ = > (x - 2)(x + 6) = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 6$

Answer:

x = -6 or x = 2

Hope you could get an idea from here.

Doubt clarification - use comment section.

7 0

2 years ago

Solve for x (5x-3)/4 = x/3 + 1 and please show working out

Mila [183]

(5x-3)/4 = x/3 +1
5x-3 = 4x/3 +4
5x - 4x/3 = 7
(11/3)x = 7
x = 7/(11/3) = 21/11

4 0

3 years ago