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VikaD [51]
2 years ago
9

The equation 4x + 2 has a domain of {0,3,6), what is the range

Mathematics
1 answer:
ser-zykov [4K]2 years ago
3 0
<h3><u>Explanation</u></h3>
  • Domain and Range

Domain is basically an input while Range is an output. Domain is the set of all x-values while Range is the set of y-values.

\large \boxed {domain}  =  > \large \boxed{range}

From input to output. That means from if we substitute domain in the equation, we would get range.

  • Substitute x = 0,3 and 6 in the equation.

f(x) = 4x + 2 \\ f(0) = 4(0) + 2 = 0 + 2 = 2 \\ f(3) = 4(3) + 2 = 12 + 2 = 14 \\ f(6) = 4(6) + 2 = 24 + 2 = 26

We input the value of x that are given and we get the value of f(x) which is the output at the specified domain.

<h3><u>Answer</u></h3>
  • Range

\large \boxed{2, 14, 26}

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How to answer this? A farmer had 455 ducks and chickens. He sold 2/5 of the ducks and bought another 104 chickens. As a result,
julia-pushkina [17]

Answer:

(a) 25

(b) $4816

Step-by-step explanation:

Let's say the starting amount of ducks is d, and the starting amount of chickens is c. Since there are only ducks and chickens, we can say that d + c= 455.

Next, the farmer sells 2/5 of the ducks, so we subtract 2/5 of the ducks so that the ending duck amount is d - (2/5)d = (3/5) d

After that, the farmer buys another 104 chickens, so we add 104 chickens to the current amount of chickens to get the ending chicken number as 104+c

Given the ending duck and chicken count, we can say that the ending farm animal count (we can represent this as a) is (3/5)d + 104 + c = a

The number of ducks is 2/3 the total number of animals at the end, so (3/5)d = (2/3)a

Let's list our equations out so it is easier to solve:

d+c = 455

(3/5)d + 104 + c = a

(3/5)d = (2/3)a

We have three equations and need to solve for three variables. One common variable in all three equations is d, so it might help if we put everything in terms of d.

Starting with d+c=455, if we subtract d from both sides, we get c=455-d. We can substitute this in the second equation to get

(3/5)d + 104 + 455 - d = a

-(2/5)d + 559 = a

(3/5)d = (2/3)a

Next, we can substitute for a. If we multiply both sides by 3 and then divide by 2 in (3/5)d = (2/3)a , we get

(9/10)d = a

Substitute that in to the second equation to get

-(2/5)d + 559 = (9/10) d

-(4/10)d + 559 = (9/10) d

add (4/10)d to both sides to isolate the variable and its coefficient

(13/10)d = 559

multiply both sides by (10/13) to isolate the coefficient

d = 430

Therefore, the starting number of ducks is 430 and the starting amount of chickens is 455-430 = 25

For (b), 2/5ths of the ducks are sold, so this is (430) * (2/5) = 172. Each duck is sold for 28 dollars, so this is 172*28=$4816 as the total price

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2 years ago
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Tasya [4]
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4 0
3 years ago
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Volume=<br> Help me please thanks so much asap
hjlf

Answer:

600

Step-by-step explanation:

since it is a right triangle based pyramid, 2 of them will make a cube. so, it is bwh / 2.

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Naomi can spend up to $18.00 for a trip to the bowling alley. The cost per game is $3.25, and shoe rental for the day is $1.50.
Alja [10]

Answer:

The answer for this question is D

Step-by-step explanation:

because x represents the number of games which is unknown plus 1.50 for the shoe rental

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Or, if your money is earning a 5 percent interest rate, you'll double it in 14.4 years (72 divided by 5 equals 14.4). If your money is earning a measly 1 percent interest rate, it will take you—yep, you guessed it—a whopping 72 years to double it.

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