Evaluate: 3y + 1 = 13 + 4y **What do you move first?!**

balu736 [363]

Answer:

yes. 2 is an only even prime number. 

Step-by-step explanation:

Prime number means a number that can be exactly divisible by 1 and itself is called prime number. 

2 is divisible by 1 and 2

prime number has only two factors. 

FOR Example: 13

 HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

6 0

2 years ago

Read 2 more answers

Find two numbers whose sum is 25 and the sum of whose reciprocals is 1/6

Katen [24]

Answer:

10 and 15

Step-by-step explanation:

Let 'x' and 'y' are the numbers we need to find.

x + y = 25 (two numbers whose sum is 25)

(1/x) + (1/y) = 1/6 (the sum of whose reciprocals is 1/6)

The solutions of the this system of equations are the numbers we need to find.

x = 25 - y

1/(25 - y) + 1/y = 1/6 multiply both sides by 6(25-y)y

6y + 6(25-y) = (25-y)y

6y + 150 - 6y = 25y - (y^2)

y^2 - 25y + 150 = 0 quadratic equation has 2 solutions

y1 = 15

y2 = 10

Thus we have :

First solution: for y = 15, x = 25 - 15 = 10

Second solution: for y = 10, x = 25 - 10 = 15

The first and the second solution are in fact the same one solution we are looking for: the two numbers are 10 and 15 (since the combination 10 and 15 is the same as 15 and 10).

5 0

3 years ago

The graph below shows the solution to which system of inequalities?

Archy [21]

Answer:

C

Step-by-step explanation:

The horizontal line, y=2, is solid and shaded above, so it represents

$y \geqslant 2$

The slanted line, y=x is dashed and shaded below, so it represents y<x.

3 0

1 year ago

A certain right triangle has area 30 in. squared . one leg of the triangle measures 1 in. less than the hypotenuse. let x repres

Brut [27]

A) The length of the longer leg is x-1

b) Based on the area, the other leg is 2*30/(x -1). Based on the Pythagorean theorem, the other leg is √(x^2 -(x -1)^2).

c) Equating the two expressions for the shorter leg, we have
.. 60/(x -1) = √(2x -1)
.. 3600/(x -1)^2 = (2x -1)
.. (2x -1)(x^2 -2x +1) = 3600
.. 2x^3 -5x^2 +4x -3601 = 0

d) There is one positive real root, at x=13. A graphical solution works well.

The three sides of the triangle are 5 in, 12 in, 13 in.

_____
5-12-13 is a well-known Pythagorean triple. It is the next smallest one after 3-4-5.

6 0

2 years ago

Suppose the x-axis of a density graph represents someone's height in inches. If the area under the density curve from 60 inches

masha68 [24]

OPTION A 75% is the correct answer

6 0

2 years ago