3 years ago

The greater of two consecutive even integers is 6 less than three times the lesser. Find the integers.

Mathematics

1 answer:

Darya [45]3 years ago

8 0

Answer:

8, 10Step-by-step explanation:

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How to solve <img src="https://tex.z-dn.net/?f=log_%7By%7D%285y%29%20%3D%202" id="TexFormula1" title="log_{y}(5y) = 2" alt="log_

Natalija [7]

Answer:

y = 5

Step-by-step explanation:

Expand the logarithm:

$\log_y{(5)}+\log_y{(y)}=2\\\\\dfrac{\log{(5)}}{\log{(y)}}+1=2 \quad\text{change of base formula}\\\\\dfrac{\log{(5)}}{\log{(y)}}=1 \quad\text{subtract 1}\\\\\log{(5)}=\log{(y)} \quad\text{multiply by log(y)}\\\\5=y \quad\text{take the anti-log}$

_____

You can also take the antilog first:

5y = y²

y(y -5) = 0 . . . . . subtract 5y, factor

y = 0 or 5 . . . . . y=0 is not a viable solution, so y=5.

5 0

4 years ago

The perimeter of the shape is ______ feet.

Vika [28.1K]

Answer:

Step-by-step explanation:

1. add the side lengths

$10+4+4+2+2+4+4+6\\= 36 ft$

4 0

3 years ago

Read 2 more answers

(6+23) x (32-25) + 72 I just need to see what the answer is to check my work

Vlad1618 [11]

Answer:

275

Step-by-step explanation:

6+23=29 and 32-25=7

29 x 7 = 203

203 + 72 = 275

The final answer is 275.

Hope this helps!

7 0

3 years ago

Find the inverse of f(x)=4x+3

zhuklara [117]

$f(x) = 4x+3\\\\\text{Write f(x) as y = 4x+3}\\\\\text{Replace x with y,}\\\\x =4y +3\\\\\text{Solve for y:}\\\\ \implies x =4y+3\\\\\implies 4y = x-3 \\\\\implies y =\dfrac{x-3}4\\\\\implies f^{-1} (x) = \dfrac{x-3}4\\\\\text{This is the inverse of f(x)}$

4 0

2 years ago

7/8 as a decimal I got: .807 (repeating)

yan [13]

Answer:

the answer is .875

Step-by-step explanation:

u were close!! keep trying

8 0

3 years ago