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tino4ka555 [31]
3 years ago
10

Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.

Mathematics
1 answer:
zavuch27 [327]3 years ago
3 0

Answer:

what are the excersises

Step-by-step explanation:

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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
PLS HELP ILL GIVE BRAINLIEST!
kodGreya [7K]

Hi there.

The answer is g(0) = 3.

Explanation:

Given three functions with specified domains. The first and three functions both do not have x = 0 as a part of the domain. We can clear both functions.

Our main function then is currently —

g(x) = 3

You might be wondering how are we gonna find the x-value if there is no x-term?

That is to do nothing. If there is no x-term to substitute then we answer only the constant.

g(0) = 3

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3 years ago
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Answer:

Step-by-step explanation:

56 1/2 because i did the math

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How many terms are in the expression 2x + 3x + 4 + 2y?
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Answer:

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Step-by-step explanation:

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. ... Examples of single terms: 3x is a single term.

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