Im terrible at math please help

The least common multiple of 9 and 42 through prime factorization?

LUCKY_DIMON [66]

Answer:

3

Step-by-step explanation:

9= 3*3

42=3*7*2

7 0

2 years ago

Find the diameter and the radius of the circle 13yd

Reil [10]

Answer:

52

Step-by-step explanation:

This is because the formula is dr

6 0

2 years ago

What number gives a result of −5 when 9 is subtracted from the quotient of the number and 6?

My name is Ann [436]

Answer:

25

Step-by-step explanation:

If it gives a result of -4 then our equation will have .... = -4

If we subtract 9 from the quotient of a number and 5 we have x/5 - 9

Our equation is:

x/5 - 9 = -4 add 9 to both sides

x/5 = -4 + 9

x/5 = 5 multiply both sides by 5

x = 5(5)

x = 25

Check: 25/5 - 9 = 5-9 = -4

Answer checks as correct from information given

8 0

3 years ago

15 percent converted to a simply fractin work it a out if your gonna answer

Elza [17]

All percents are out of 100 so start with 15/100 and then simplify

3/20

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=4%20%20%20%7B%7D%5E%7Bx%20%7D%20%20%2B%206%20%7B%7D%5E%7Bx%7D%20%3D%209%20%7B%7D%5E%7Bx%7D%20%

Nookie1986 [14]

So, the value of x is 1.19

The question is an exponential equation

<h3>What is an exponential equation?</h3>

An exponential equation is a mathematical expression between two quantities in which one variable is raised to a power of the other variable.

Since $4^{x} + 6^{x} = 9^{x}$ ,

Dividing through by 4ˣ, we have

$\frac{4^{x} }{4^{x} } + \frac{6^{x} }{4^{x} } = \frac{9^{x} }{4^{x} } \\1 + (\frac{6}{4})^{x} } = (\frac{9}{4})^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3^{2} }{2^{2} })^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3}{2})^{2x} }$

Let y = (3/2)ˣ

So,

1 + y = y²

y² - y - 1 = 0

Using the quadratic formula to find y,

$y = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}$

where a = 1 b = -1 and c = -1

Substituting the values of the variables into the equation, we have

$y = \frac{-(-1) +/- \sqrt{(-1)^{2} - 4\times 1 \times (-1)} }{2\times 1}\\= \frac{1 +/- \sqrt{1 + 4} }{2}\\= \frac{1 +/- \sqrt{5} }{2}\\= \frac{1 - \sqrt{5} }{2} or \frac{1 + \sqrt{5} }{2}\\= \frac{1 - 2.236}{2} or \frac{1 + 2.236}{2}\\= \frac{- 1.236}{2} or \frac{3.236}{2}\\= -0.618 or 1.618$

Since y = (3/2)ˣ

Takung logarithm of both sides, we have

㏒y = ㏒(3/2)ˣ

㏒y = x㏒(3/2)

x = ㏒y/㏒(3/2)

x = ㏒y/㏒1.5

Since we do not have logarithm of a negative number, we use y = 1.618.

So, x = ㏒y/㏒1.5

x = ㏒1.618/㏒1.5

x = 0.2090/0.1761

x = 1.19

So, the value of x is 1.19

Learn more about exponential equation here:

brainly.com/question/11832081

#SPJ1

5 0

1 year ago