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rjkz [21]
3 years ago
7

1. y = 3(x - 4)2 - 2

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
8 0

Answer:

y = 3x - 12

Step-by-step explanation:

You might be interested in
A town doubles it’s size every 35 years if the population is currently 5,00, what will be the population be in 140 years?
Doss [256]

Answer:

8,000

Step-by-step explanation:

after 35 years 1000

after 70 2000

after 105 4000

qfter 140 8000

i might be wrong but hope this helped there is probs a faster way to do this tho.

5 0
3 years ago
Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
Natali [406]

Answers:

  • Total equation:  x+y = 80
  • Legs equation:  2x+4y = 248
  • How many ducks? 36
  • How many cows? 44

====================================================

Further explanation:

  • x = number of ducks
  • y = number of cows

x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.

That equation can be solved to y = 80-x after subtracting x from both sides.

The legs equation is 2x+4y = 248 because...

  • 2x = number of legs from all the ducks only
  • 4y = number of legs from all the cows only
  • 2x+4y = total number of legs from both types of animals combined

We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248

------------

Let's plug y = 80-x into the second equation and solve for x.

2x+4y = 248

2x+4( y ) = 248

2x+4( 80-x ) = 248

2x+320-4x = 248

-2x+320 = 248

-2x = 248-320

-2x = -72

x = -72/(-2)

x = 36

There are 36 ducks

Now use this x value to find y

y = 80-x

y = 80-36

y = 44

There are 44 cows.

------------

Check:

36 ducks + 44 cows = 80 animals total

36*2 + 44*4 = 72 + 176 = 248 legs total

The answers are confirmed.

5 0
2 years ago
How would you symplify 5 and the square root of 90?<br><br> Please show steps
myrzilka [38]
First you have to find the square root of 90 which is about 9.5
now multiply, divide, add, or subtract 5 from 9.5 to get your answer.
8 0
3 years ago
What is the mass of 2.5 moles of carbon dioxide?
GarryVolchara [31]

Answer:

110 grams

Step-by-step explanation:

CO2 molecule is made up of Carbon (atomic mass =12) and oxygen (atomic mass=16).

So first finding the mass of 1 molecule of CO2 which is equals to

= mass of 1 carbon atom + masses of 2 oxygen atom, we get

= 12+(16*2)= 12+32= 44 a.m.u.

Now 1 molecule of CO2 has mass 44 amu so mass of 1 mole CO2 will be 44 grams.( 1 a.m.u.=1.6729*10^-33 grams. 1 mole = 6.022*10^23, so 44 a.m.u.=73.6076*10^-33 grams approx. For one mole CO2, 73.6076*10^-33*6.022*10^23 which is approximately equals to 44 grams. )

1 mole CO2= 44grams, so 2.5 moles = 44*2.5= 110 grams

So our answer is 110 grams.

lowkey hope this helped you, good luck whatever you need it for Imaooo

3 0
3 years ago
benny has a total of 64 quarters and pennies in his pocket. these coins total $4.00 how many pennies are in Benny's pocket
levacccp [35]
I think its 14 quarters and 50 pennies
8 0
4 years ago
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