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dimulka [17.4K]
3 years ago
6

Examples: Determine if the graph is a function. If it is, state the domain and range.

Mathematics
1 answer:
NemiM [27]3 years ago
5 0

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.Jan 8, 2019

Step-by-step explanation:

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A piggy bank contains pennies, nickels, and dimes. The number of dimes is 15 more than the number of nickels, and there are 140
amm1812

Answer:

Option D is correct.

There are 34 nickels in the piggy bank.

Step-by-step explanation:

A piggy bank contains pennies, nickels and dimes.

Let the number of pennies be p

Let the number of nickels be n

Let the number of dimes be d

Also, note that 1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

- The number of dimes is 15 more than the number of nickels.

d = 15 + n

- There are 140 coins altogether totaling $7.17.

p + n + d = 140

0.01p + 0.05n + 0.1d = 7.17

Bringing the 3 equations together

d = 15 + n (eqn 1)

p + n + d = 140 (eqn 2)

0.01p + 0.05n + 0.1d = 7.17 (eqn 3)

Substitute (eqn 1) into (eqn 2)

p + n + d = 140

p + n + (15 + n) = 140

p + 2n + 15 = 140

p = 140 - 15 - 2n = 125 - 2n

p = 125 - 2n (eqn 4)

Substitute (eqn 1) and (eqn 4) into (eqn 3)

0.01p + 0.05n + 0.1d = 7.17

0.01(125 - 2n) + 0.05n + 0.1(15 + n) = 71.7

1.25 - 0.02n + 0.05n + 1.5 + 0.1n = 7.17

0.1n + 0.05n - 0.02n + 1.5 + 1.25 = 7.17

0.13n + 2.75 = 7.17

0.13n = 7.17 - 2.75 = 4.42

0.13n = 4.42

n = (4.42/0.13) = 34

d = 15 + n = 15 + 34 = 49

p = 125 -2n = 125 - (2×34) = 125 - 68 = 57

Hence, there are 57 pennies, 34 nickels and 49 dimes in the piggy bank.

Hope this Helps!!!

7 0
3 years ago
What is the answer for f 6n-3(2n-5)?
wariber [46]

Answer:

f 6 n +−6 n +15

Step-by-step explanation:

f 6 n+(−3)(2 n)+(−3)(−5)

f 6 n +−6 n +15

4 0
2 years ago
Ricky spends $103. 19 in additional interest and charges on monthly payments as the result of a prior bankruptcy. If Ricky had b
erastova [34]

Answer:

C. 1,315.06

Step-by-step explanation:

................

5 0
2 years ago
Midsegment of triangle <br> Find X
Charra [1.4K]

Answer:

10 = x

Step-by-step explanation:

This is what is called the Midsegment Theorem, which states that the relation of a triangle's midpunkt is parallel to the triangle's third side, and the mid-segment length is half the third side length, so you would take half of 4x + 20 and set that expression equal to the midsegment:

2x + 10 = 3x

-2x - 2x

____________

10 = x

You then plug this back into both expressions above to get the double-segment of 60 and the mid-segment of 30. We can tell this is correct because 30 and 60 are relatively proportional to each other.

I am joyous to assist you anytime.

4 0
3 years ago
What is the measure of 1 (1 point) 45 60 120 125?
Nuetrik [128]

Answer:

120°

i finished the quiz and that what i got

and for the rest

1.b

2.d

3.a

4.c

and number 5 is the first answer that i wrote

Step-by-step explanation:

3 0
3 years ago
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