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3 years ago

8

The function f(x)=log 7x is increasing. True or false

1 answer:

enyata [817]3 years ago

6 0

That's true. As x increases, the log of 7 times x also increases. Therefore, the statement provided is true.

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In 79 CE, a volcano erupted near Pompeii. Within a day, the city was buried under nine feet of ash. How many inches of ash burie

larisa86 [58]

You just do 12 * 9 and get 108 inches

3 0

3 years ago

7. Are the ordered pairs below an arithmetic sequence or geometric

DochEvi [55]

Answer:

8. Arithmetic Progression

9. $f(9) = 300$

Step-by-step explanation:

Given

$\{(1,55)\ (2, 45)\ (3, 35)\ (4, 25)\}$

Solving (8): Arithmetic or Geometric

We start by checking if it is arithmetic by checking for common difference (d).

$d = y_2 - y_1 = y_3 - y_2 = y_4 - y_3$

This gives:

$d = 45 - 55 = 35 - 45 = 25 - 35$

$d = -10 = -10 = -10$

$d=-10$

<em>Because the common difference is equal, then it is an arithmetic progression</em>

<em></em>

Solving (8):

$f(n) = f(1) + f(n-1)$

To find f(9), we substitute 9 for n

$f(9) = f(1) + f(9-1)$

$f(9) = f(1) + f(8)$

We need to solve for f(8); substitute 8 for n

$f(8) = f(1) + f(8 - 1)$

$f(8) = f(1) + f(7)$

We need to solve for f(7); substitute 7 for n

$f(7) = f(1) + f(7 - 1)$

$f(7) = f(1) + f(6)$

We need to solve for f(6); substitute 6 for n

$f(6) = f(1) + f(6 - 1)$

$f(6) = f(1) + f(5)$

We need to solve for f(5); substitute 6 for n

$f(5) = f(1) + f(5 - 1)$

$f(5) = f(1) + f(4)$

From the function, f(4) = 25 and f(1) = 55.

So:

$f(5)=55 + 25$

$f(5)=80$

$f(6) = f(1) + f(5)$

$f(6) = 55 + 80$

$f(6) = 135$

$f(7) = f(1) + f(6)$

$f(7) = 55 + 135$

$f(7) = 190$

$f(8) = f(1) + f(7)$

$f(8) = 55 + 190$

$f(8) = 245$

$f(9) = f(1) + f(8)$

$f(9) = 55 + 245$

$f(9) = 300$

8 0

3 years ago

Explain how solving 2x+16=14 different from solving 2x+16=x+14

vladimir2022 [97]

The difference between 2x+16=14 than 2x+16=x+14 is that you would have to solve x in two different ways like finding the first equation another way than to the second equation ( I think ).

4 0

3 years ago

The bottom of a cylindrical container has an area of 10 cm². The container is filled to a height whose mean is 5 cm, and whose s

disa [49]

Answer:

μv = $50 cm^{3}$

σv= $3 cm^{3}$

Step-by-step explanation:

Volume is found by multiplying the area and height. Since we're given both area and height of 10 and 5 cm respectively then

μv =A.h= 10*5= 50 cm^{3}

The standard deviation of the volume will be

σv= 0.3*10= $3 cm^{3}$

5 0

3 years ago

X + y = -15<br> rewrite in y=mx+b

diamong [38]

Answer:

y = -x - 15

Step-by-step explanation:

x + y = -15

-x -x

y = -x - 15

:3

5 0

3 years ago