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son4ous [18]
3 years ago
8

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

Mathematics
1 answer:
marusya05 [52]3 years ago
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
Y
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
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