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3 years ago

Write an expression to describe the relationship in each table 10,12,15. 7,9,12

Mathematics

1 answer:

lesya [120]3 years ago

5 0

Answer:

there is a pattern of 2 , 3 in each set of numbers

Step-by-step explanation:

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(1/27)^x-6=27 Could I please have a step by step as well? Much appreciated!

Andrei [34K]

Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if logb (x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

$0 = x - 7$

9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

Therefor, the answer is x = 7.

5 0

3 years ago

52 lbs is equal to how many kg

Butoxors [25]

1 lb = 0.45 kg
52 lb= 0.45 * 52
52 lb= 23.4 kg

4 0

3 years ago

Read 2 more answers

Show that 4x - x? – 7 is always negative. Help

Verizon [17]

Question No 7

Answer:

Please check the explanation.

Step-by-step explanation:

Show that 4x - x² - 7 is always negative.

Given

4x - x² - 7

4x - x² - 7 is always negative because:

-x²-7 will alwas be negative for all the values of x,

The value of - x² - 7 will always be less than 4x for all the values of x

Hence, 4x - x² - 7 is always negative

For example,

let suppose we enter x = 1

$4(1)-1^{2} -7\\=4-1-7\\=4-8\\=-4$

let suppose we enter x = -1

$4(-1)-(-1)^{2} - 7\\= -4 - 1 - 7\\= -12$

6 0

3 years ago

if the air temperature is 20°c and the relative humidity is 55 percent, will the dew point be reached if the temperature drops t

OlgaM077 [116]

Answer:

Your dew point would be at 10.

Step-by-step explanation:

8 0

3 years ago

A circle with radius 2 in and the center the origin can be mapped on to a circle with radius 4 and center (3,6) through which tr

kolezko [41]

Because it is the best an the s

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3 years ago

Write an expression to describe the relationship in each table 10,12,15. 7,9,12​

Write an expression to describe the relationship in each table 10,12,15. 7,9,12