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vodomira [7]
3 years ago
14

Determine which relation is a function.

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
5 0
Functions can only have 1 value of 'x'.

Option A is not a function because it has two -5's

Option B is not a function because it has two -2's.

Option C is a function.

Option D is not a function because it has two 6's.
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What is the justification for each step in the solution of the equation?<br><br> 4(4x+6)−7=77−4x
zepelin [54]

Answer:

20x + 17 = 77    --> Addition Property of Equality:

You are adding (Addition Property) 4x to both sides of the equal sign (Equality).

20x = 60           --> Subtraction Property of Equality:

You subtracted (Subtraction Property) 17 from both sides of the equal sign (Equality).

x = 3                  --> Division Property of Equality:

You divided (Division Property) 20 from both sides of the equal sign (Equality) to completely isolate the variable x.

~

6 0
2 years ago
A species of beetles grows 32% every year. Suppose 100 beetles are released into a field. How many beetles will there be in 10 y
siniylev [52]

Given that a species of beetles grows 32% every year.

So growth rate is given by

r=32%= 0.32


Given that 100 beetles are released into a field.

So that means initial number of beetles P=100


Now we have to find about how many beetles will there be in 10 years.

To find that we need to setup growth formula which is given by

A=P(1+r)^n where A is number of beetles at any year n.

Plug the given values into above formula we get:

A=100(1+0.32)^n

A=100(1.32)^n


now plug n=10 years

A=100(1.32)^{10}=100(16.0597696605)=1605.97696605

Hence answer is approx 1606 beetles will be there after 20 years.


Now we have to find about how many beetles will there be in 20 years.

To find that we plug n=20 years

A=100(1.32)^{20}=100(257.916201549)=25791.6201549

Hence answer is approx 25791 beetles will be there after 20 years.



Now we have to find time for 100000 beetles so plug A=100000

A=100(1.32)^n

100000=100(1.32)^n

1000=(1.32)^n

log(1000)=n*log(1.32)

\frac{\log\left(10000\right)}{\log\left(1.32\right)}=n

33.174666862=n

Hence answer is approx 33 years.

4 0
3 years ago
Read 2 more answers
How many computers must the AB Computer Company sell to break even? Let x be the number of computers.
Eduardwww [97]

Answer:

The Company AB must sell 116 computers to break even

Step-by-step explanation:

we have

R(x)=1.5x -----> equation A

C(x)=145+\frac{1}{4}x ----> equation B

where

C is the cost function

R is the revenue function

x is the number of computers sold

we know that

Break even is when the cost is equal to the revenue

so

equate equation A and equation B

1.5x=145+\frac{1}{4}x

Solve for x

subtract 1/4x both sides

1.5x-\frac{1}{4}x=145

1.5x-0.25x=145

1.25x=145

Divide by 1.25 both sides

x=116

therefore

The Company AB must sell 116 computers to break even

7 0
3 years ago
Mia is 6.93936 × 106 minutes old. Convert her age to more appropriate units using years, months, and days. Assume a year has 365
ASHA 777 [7]
Ella is 13 years, four months, and 19 days old. 
6 0
3 years ago
Read 2 more answers
A sail boat has a sail in the shape of an isosceles triangle. the base of the triangle is 16 feet in length. the height of the s
lapo4ka [179]

Answer:

160 feet^2

Step-by-step explanation:

base x high x 1/2

hope i'm right

3 0
2 years ago
Read 2 more answers
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