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3 years ago

X=4 what is the domain and what is the range and is it a function?

1 answer:

7 0

The domain is the numbers you can use for x

so the domain is 4

the range is the possible y values we get from that domain
we get all real numbers because it goes up and down infinitey

domain is 4
range is all real numbers

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Determine what type of model best fits the given situation:

lyudmila [28]

Let value intially be = P

Then it is decreased by 20 %.

So 20% of P = $\frac{20}{100} \times P = 0.2P$

So after 1 year value is decreased by 0.2P

so value after 1 year will be = P - 0.2P (as its decreased so we will subtract 0.2P from original value P) = 0.8P-------------------------------------(1)

Similarly for 2nd year, this value 0.8P will again be decreased by 20 %

so 20% of 0.8P = $\frac{20}{100} \times 0.8P = (0.2)(0.8P)$

So after 2 years value is decreased by (0.2)(0.8P)

so value after 2 years will be = 0.8P - 0.2(0.8P)

taking 0.8P common out we get 0.8P(1-0.2)

= 0.8P(0.8)

$=P(0.8)^{2}$ -------------------------(2)

Similarly after 3 years, this value $P(0.8)^{2}$ will again be decreased by 20 %

so 20% of $P(0.8)^{2} \frac{20}{100} \times P(0.8)^{2} = (0.2)P(0.8)^{2}$

So after 3 years value is decreased by $(0.2)P(0.8)^{2}$

so value after 3 years will be = $P(0.8)^{2} - (0.2)P(0.8)^{2}$

taking $P(0.8)^{2}$ common out we get $P(0.8)^{2}(1-0.2)$

$P(0.8)^{2}(0.8)$

$P(0.8)^{3}$ -----------------------(3)

so from (1), (2), (3) we can see the following pattern

value after 1 year is P(0.8) or $P(0.8)^{1}$

value after 2 years is $P(0.8)^{2}$

value after 3 years is $P(0.8)^{3}$

so value after x years will be $P(0.8)^{x}$ ( whatever is the year, that is raised to power on 0.8)

So function is best described by exponential model

$y = P(0.8)^{x}$ where y is the value after x years

so thats the final answer

3 0

3 years ago

An appliance store sells an oven for 25% off the original price. The sale price is $251.85, not including tax. What is the price

never [62]

$335.8
Take 251.85/75 and you get 3.358, multiply by 100 and you get your answer

5 0

1 year ago

qaws [65]

Answer:

(-2, 0.5) first

Step-by-step explanation:

X (-4, 1) → X' (-4*0.5, 1*0.5)

X'(-2, .5)

5 0

2 years ago

He spent $___ on gas?

Basile [38]

Answer:

Step-by-step explanation: 15 minus 6.2 is 8.8 thats how much he needs to fill upp if it is 3.50 a gallon you would multiply to get 30.8 thats how much money he spent on gas

7 0

3 years ago

What appears to be the range of the part of the exponential function graphed on the grid?

Natali [406]

The domain of a function is the set of x values for which it is defined. The range of the given graph will be -2≤x<7.

<h3>What is the domain and range of a function?</h3>

The domain of a function is the set of x values for which it is defined, whereas the range is the set of y values for which it is defined.

As it can be seen that the value on the y-axis is defined for every value of x between -2 to 7, also the value of x is also defined for x=-2.

Hence, the range of the given graph will be -2≤x<7.

Learn more about Domain and Range:

brainly.com/question/1632425

#SPJ1

6 0

1 year ago