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3 years ago

Is f(x) = 2x – 3 a function

Mathematics

1 answer:

vesna_86 [32]3 years ago

3 0

Answer: yes

Step-by-step explanation:

If you graph the function on desmos or a graphing calculator, you will see that it passes the vertical line test.

The graph is a function when no one x value has two y values, this is why we use the vertical line text to see if the graph is a function.

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In a group of 120 pupils , 80 can play drums and 25 play piano . How many pupils can play both instruments if there are 3 pupils

soldier1979 [14.2K]

Answer:

12 pupils

Step-by-step explanation:

<u>Number of pupils can play either instrument:</u>

120 - 3 = 117

<u>Number of those can play both:</u>

117 - (80 + 25) = 12

3 0

3 years ago

A child grew 3 1/4 inches one year and 4 3/4 inches the next year. How many inches did the child grow over the two years?

Marianna [84]

let's firstly convert the mixed fractions to improper fractions, and then use the LCD, which in this case is 4, to sum them up.

$\bf \stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}}~\hfill \stackrel{mixed}{4\frac{3}{4}}\implies \cfrac{4\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{19}{4}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{13}{4}+\cfrac{19}{4}\implies \stackrel{\textit{using the LCD of 4}}{\cfrac{13+19}{4}}\implies \cfrac{32}{4}\implies 8$

5 0

3 years ago

Read 2 more answers

A pot is being used to boil off 1 kg of water. The specific energy required to cause the phase change is 2297 kJ/kg. Assuming th

lana66690 [7]

Answer:

It will take 58 seconds

Step-by-step explanation:

If you have 1 kg of water in the jar, half of it will be 0.5 kg.

To vaporize half of the water (0.500 kg) the energy supply needed is

$2297 kJ/kg*0.5kg=1148.5 kJ$

If the stove is supplying 20 kJ/s, the time its needed is

$\frac{1148.5 kJ}{20\frac{KJ}{s} }=57.425 s$

It will last at least 58 seconds to vaporize half of the water.

6 0

3 years ago

What is the greatest common factor between 24 & 28

Elis [28]

24:
1 and 24
6 and 4
2 and 3 2 and 2

So 24 = 1 X 2^3 X 3

28:
1 and 28
7 and 4
2 and 2

So 28 = 1 X 2^2 X 7

Therefore the greatest common factor of 24 and 28 is 2.

7 0

3 years ago

Harold bought 3 pounds of red apples and 4.2 pounds of green apples from a grocery store, where both kind of apples are $1.75 a

Nitella [24]

12.60 because 3x1.75=5.25 and 4.2x1.75=7.35 and if you add 5.25 and 7.35 it equals 12.60

5 0

3 years ago