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3 years ago

Given f (X) = 4x +6 find f (x) = 54

Mathematics

2 answers:

Archy [21]3 years ago

5 0

hello

f(x) = 54

4x + 6 = 54

4x = 54 -6

4x = 48

x = 12

good day

Nikitich [7]3 years ago

3 0

Answer:

x = 12

Step-by-step explanation:

Step 1: Define

f(x) = 4x + 6

f(x) = 54

Step 2: Substitute variables

54 = 4x + 6

Step 3: Solve for <em>x</em>

<u>Subtract 6 on both sides:</u> 48 = 4x

<u>Divide both sides by 4:</u> 12 = x

Step 4: Check

<em>Plug in x to verify it is a solution.</em>

f(12) = 4(12) + 6

f(12) = 48 + 6

f(12) = 54

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The bookstore sells packages of 15 pens

AlexFokin [52]

Considering the definition of least common multiple, this means that smallest number of packages of each they can buy is 60.

<h3>Least common multiple</h3>

A number is a multiple of another when it contains it exactly n times. In other words, the multiples of a number are the ones you get when you multiply one number by another.

The least common multiple allows us to know what is the smallest number that is a multiple of a certain set of numbers.

One procedure for calculating the least common multiple is to break each number into prime factors. Then the common and uncommon factors are raised to the highest exponent, which must be multiplied.

<h3 /><h3>Smallest number of packages</h3>

To calculate the smallest number of packages of each they can buy, you calculate the least common multiple.

First, the decomposition of the numbers into prime factors is carried out:

15= 3×5

12= 2×2×3= 2²×3

Then, the least common multiple is calculated as 2²×3×5

Solving, the least common multiple between 12 and 15 is 60.

Finally, this means that smallest number of packages of each they can buy is 60.

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8 0

2 years ago

Is the relationship linear, exponential, or neither?

kati45 [8]

Answer:

Neither linear nor exponential

Step-by-step explanation:

To check for a linear relationship. Find slope.

slope= (-1 - (-2)) / ( 5 - 2) = 1/3

check other points

slope = (1 - (-1) )/ (8 - 5) = 2/3

check more

slope = (4 - 1) / (11 - 8) = 3/ 3 = 1

Nope.

try assuming an exponential:

y = c * (a^x)

-2 = c* (a^2); -2/c = a^2

-1 = c *(a ^5); -1/c = a^5

1 = c * (a^8), 1/c = a^8

(-2/c)^4 = a^8 = 1/c

16/(c^4) = 1/c

c^3 = 16, then a = root (-2/ cube-root(16) )

The change from negative to postive would not work for y = c(a^x)

so...

assume y = a^x + k

-2 = a^2 + k

-1 = a^5 + k

... I would say neither..

6 0

3 years ago

What does the point (2, 120) represent on the graph?

Nonamiya [84]

from the given graph the point (2,120) shows that the heartbeat of and active bear is 120 in 2 minutes.

8 0

3 years ago

Read 2 more answers

What is a possible solution for x+6≥10

ira [324]

Answer:

4,5,6

Step-by-step explanation:

*The sign of ≥ means that it must be greater or equal to 10 in this case

1). 3 isn't a possible solution due to 9 being less than 10

3+6_10

9_10

9<10

2). 4 is a possible solution due to the sum of 4 and 6 being equal to 10

4+6_10

10_10

10=10

3). 5 is a possible solution due to the sum of 5 and 6 being larger than 10

5+6_10

11_10

11>10

4).6 is a possible solution due to the sum of 6 and 6 being larger than 10

6+6_10

12_10

12>10

Hope this helped! (:

6 0

3 years ago

Connor and Angie helped take attendance during their schools practice fire drill if the actual count was between 77 and 89 inclu

wel

Answer:

The most absolute error is 12

Step-by-step explanation:

The formula for absolute error is given by the following relation;

Absolute error, Δx = Value measured, x₀ - Exact (actual) value, x

Δx = x₀ - x

Since the actual count is between 77 and 89, the maximum absolute error will be where the actual value = 77 and the measured value = 89 and vice versa, giving an absolute error of 89 -77 = 12.

The most absolute error = 12.

4 0

3 years ago