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Leviafan [203]
3 years ago
13

If the domain of f(x) = x^2 + 1 is limuted to {0,1,2,3} what is the maximum value of the range?

Mathematics
1 answer:
katrin2010 [14]3 years ago
8 0

Answer: 10

Plug in the given x values and see which result is the largest

Plug in x = 0 ---> x^2+1 = 0^2 + 1 = 1

Plug in x = 1 ----> x^2 + 1 = 1^2 + 1 = 2

Plug in x = 2 ----> x^2 + 1 = 2^2 + 1 = 5

Plug in x = 3 ---> x^2 + 1 = 3^2 + 1 = 10

The range is therefore {1, 2, 5, 10} which is just the set of possible outputs.

We see that y = f(x) = 10 is the largest output of the range if the domain is restricted to the set {0, 1, 2, 3}

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A tree cast a 24 foot shadow. A 5 foot person cast an 8 foot shadow. How tall is the tree ?
zheka24 [161]
<span>5/8:x/48=
8x=240=30 ft</span>
7 0
2 years ago
Read 2 more answers
Suppose you budgeted $2800 for fuel expenses for the year. How many miles could you drive if gas were $2.70 per gallon and your
Julli [10]

Answer:

29037.036 miles

Step-by-step explanation

There are two possible ways to solve this problem.

The first option starts with the $2800 dollars for the years. You first want to divide this by $2.70, because it will give you the amount of gallons of gas you can buy with that money.

2800/2.70 = 1037.037

This means you can buy 1037.037 gallons of gas in the year. Now you need to convert this to miles by multiplying by the amount of miles per gallon.

1037.037 x 28 = 29037.036 gallons

The second way to look at this is dimensional analysis. If you have learned this, then continue on reading this, but if you haven't I might only confuse you. I only suggest this because it can make it a little easier.

For the dimensional analysis, you need to start with what you are given and move to what you need to know, so you will start with the $2800 dollars and move to gallons. $2.70 per gallon and 28 miles per gallon are your conversion factors.

Set it up like this:

2800 dollars  * \frac{1 gallon}{2.70 dollars} * \frac{28 miles}{1 gallon}  = 29037.036 miles

This allows the equation to be more organized, and you can check your work by canceling the units.

Hope this helps.

3 0
2 years ago
The most recent census for a city indicated that there were 919,716 residents. The population of the city is expected to increas
OLEGan [10]

Answer:

1,474,951.

Step-by-step explanation:

Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.

P(t)=P_o(1+r)^t,$ where \left\{\begin{array}{lll}P_o=$Initial Population\\r$=Growth rate\\$t=time (in years)\end{array}\right\\P_o=919,716\\r=3.7\%=0.037\\$t=13 years

Therefore, the population of the city in 13 years time will be:

P(t)=919,716(1+0.037)^{13}\\\\=919,716(1.037)^{13}\\\\=1,474,950.9\\\\\approx 1,474,951

The population be at that time will be approximately 1,474,951.

3 0
3 years ago
5b^2+3b-4 how do I find (x,y)?
GrogVix [38]

Answer:

DONT TRUST THE LINK OF OTHER USER AND REPORT

5 0
3 years ago
Write the equation of the line that passes through the points (1, -7) and (-6, -9).
jek_recluse [69]

Answer:

y = 2/7 x - 51/7

Step-by-step explanation:

Equation of the line

(y-y1)/(y2-y1) = (x-x1)/(x2-x1)

(y-(-7)/(-9-(-7) = (x-1)/(-6-1)

(y+7)/-2 = (x-1)/-7

(-y-7)/2 = (-x+1)/7

-y-7 = -2/7 x + 2/7

-y = -2/7x +2/7 + 7

y = 2/7 x - 2/7 - 7

y = 2/7 x + (-2-49)/7

y = 2/7 x - 51/7

3 0
3 years ago
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