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3 years ago

Are the following functions linear or nonlinear?

Mathematics

1 answer:

exis [7]3 years ago

8 0

Answer:

The chart is linear, the graph is not.

Step-by-step explanation:

Because the graph is curved and not straight, it is non-linear. You can also tell that this is non-linear because the rate of change, or slope, is inconsistent. The chart is linear because it has a consistent slope. I hope this helps, have a nice day. :-)

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Y=4x+3 table of ordered pairs

lara31 [8.8K]

Answer:

X:1 2 3 4 5 Y:7 11 15 19 23.

Step-by-step explanation:

We just need to put in the values of x into the equation: y = 4x + 3.

x = 1:

y = 4(1) + 3

= 4 + 3

y = 7

x = 2:

y = 4(2) + 3

= 8 + 3

y = 11

x = 3:

y = 4(3) + 3

= 12 + 3

y = 15

x = 4:

y = 4(4) + 3

= 16 + 3

y = 19

x = 5:

y = 4(5) + 3

= 20 + 3

y = 23

6 0

3 years ago

Please answer i need help

labwork [276]

Answer:

first answer is 9.84

Step-by-step explanation:

9.84 is the square root of 97, rounded to the nearest hundredth.

the legs measure 9 x 9 and 4 x 4 = 81 and 16.

81 + 16 = 97, so your answer is the square root of 27, which rounded to the nearest hundredth, equals 9.84. Rounding towards the nearest whole, 10 would be your best bet.

hope this helps!!

3 0

3 years ago

Solve for x: 8x + 2 + 4 = 2x - 6 X=?

muminat

Answer:

x = -2

Step-by-step explanation:

8x + 2 + 4 = 2x - 6

8x - 2x = - 6 - 2 - 4

6x = -12

x = -12/6

x = -2

8 0

3 years ago

A building meets the ground at a right angle. The top of a 10-foot ladder is placed against the bottom edge of a window in the b

jek_recluse [69]

Greetings from Brasil...

Its attached the diagram of the situation.....

5 0

4 years ago

The function y = 58. 7(1. 03)^t gives a country’s population, y (in millions), where t is the number of years since January 1994

GREYUIT [131]

Answer:

Approximate population ≈ 74.36 million.

Step-by-step explanation:

The given problem involves modeling of an exponential growth or decay function of a population.

<h2>Definition:</h2>

Exponential growth ( relative growth ) occurs when a population grows or increases exponentially by the same factor, over the same amount of time.
Exponential decay occurs when a population decreases continuously by a constant factor, over the same amount of time.

We can model the exponential growth of a population using the following Exponential Growth Model:

⇒ $\displaystyle\mathsf{P(t)\:=\:P_0 (1\:+\:r)^t }$

Where:

P( t ) = population after "t" years
P₀ = initial population
r = relative growth rate; positive "r" value means that the population is increasing; negative "r" value implies that the population is decreasing.
t = time (typically in years)

<h2>Solution:</h2>

Based from the given equation, $\displaystyle\mathsf{y\:=\:58.7(1.03)^t }$ , we can infer that:

⇒ $\displaystyle\mathsf{P(t)\:=\:P_0 (1\:+\:r)^t }$ or $\displaystyle\mathsf{y\:=\:P_0 (1\:+\:r)^t }$

Where:

P( t ) or y = population after "t" years
P₀ = initial population = 58.7
r = relative growth rate = 0.03 or 3% = the population is increasing (exponential growth).
t = time (typically in years) = 8 years (difference between January 2002 and January 1994).

Step 1: Substitute the given values into the Exponential Growth Model formula, and solve for P( t ) :

$\displaystyle\mathsf{P(t)\:=\:P_0 (1\:+\:r)^t }$

⇒ $\displaystyle\mathsf{P(8)\:=\:58.7 (1\:+\:.03)^8 }$

Step 2: Follow the order of operations, addition inside the parenthesis:

⇒ $\displaystyle\mathsf{P(8)\:=\:58.7 (1.03)^8 }$

Step 3: Follow the order of operations, applying the exponent into the parenthesis (do not round off the digits inside the parenthesis):

⇒ $\displaystyle\mathsf{P(8)\:=\:58.7 (1.266770081) }$

Step 4: Follow the order of operations, multiplying 58.7 (P₀) into the parenthesis:

⇒ $\displaystyle\mathsf{P(8)\:\approx \:74.35940378\quad or \quad 74.36\:\:million}$

<h2>Final Answer:</h2>

Therefore, the approximate population of the country in January 2002 is 74.36 million.

<h3>________________________</h3><h3>Keywords:</h3>

Exponential functions

Exponential growth

Exponential decay

Exponential growth model

____________________________

Learn more about exponential functions here:

brainly.com/question/25802424

7 0

3 years ago