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n200080 [17]
3 years ago
9

F(x)=3x-3g(x) 3x^3+5Find F(-3) and g(-2)

Mathematics
2 answers:
sergij07 [2.7K]3 years ago
8 0

Answer:

f(-3) = -12

g(-2) = -19

Step-by-step explanation:

1.

f(x) = 3x - 3

One is asked to find (f(-3)), substitute (-3) into the given function (f) in place of (-3), and solve to evaluate,

f(-3) = 3(-3) - 3

Simplify,

= -9 - 3

= -12

2.

g(x) = 3x^3+5

The problem asks one to find (g(-2)), subtitute (-2) into the function in place of (x) and solve to find tis value,

g(-2) = 3(-2)^3+5\\

Remember any number raised to an exponent is equal to the base (the number that is being raised to the exponent) times itself the number of times that the exponent indicates,

=3(-8)+5\\=-24+5\\=-19

astra-53 [7]3 years ago
4 0

Answer:

f(-3) = -12

g(-2) = -19

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Functions
  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = 3x - 3

g(x) = 3x³ + 5

f(-3) is <em>x</em> = -3 for function f(x)

g(-2) is <em>x</em> = -2 for function g(x)

<u>Step 2: Evaluate</u>

f(-3)

  1. Substitute in <em>x</em> [Function f(x)]:                                                                           f(-3) = 3(-3) - 3
  2. Multiply:                                                                                                             f(-3) = -9 - 3
  3. Subtract:                                                                                                            f(-3) = -12

g(-2)

  1. Substitute in <em>x</em> [Function g(x)]:                                                                         g(-2) = 3(-2)³ + 5
  2. Exponents:                                                                                                        g(-2) = 3(-8) + 5
  3. Multiply:                                                                                                            g(-2) = -24 + 5
  4. Add:                                                                                                                   g(-2) = -19
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Brilliant_brown [7]

Answer:

Step-by-step explanation:

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D and E are both true.

5 0
3 years ago
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when tom simplified the expression -2.6 + (-5.4), he got 2.8 what mistake did tom likely make? pls help me
olga_2 [115]

Answer:

2.6 and 5.4 are both the same sign, he should add them and then take that negative sign from (-5.4), so the answer would be -8.0.

5 0
3 years ago
Can someone smart please help me?
ollegr [7]
Hello! 

For a:

How I would do this, is I would first say if all 46 animals (heads) were chickens, how many legs would there be? Each chicken has 2 legs, so 46 * 2 = 92. The total amount of legs is 96 as stated in the question, so if all of the animals were chickens, the farmer would be 4 legs short.

Now to add rabbits into the equation. Rabbits have 4 legs, and chickens have 2. You want to find the difference between the two, because as you add rabbits to the animals the farmer has, then you have to take away chickens at the same time. 4-2 = 2, so for each rabbit you replace, you add 2 legs. 

Since the farmer is 4 legs short with all chickens, then you just divide that 4 by the 2 legs you add by replacing a chicken with a rabbit.

4 / 2 = 2 rabbits

So that means there are 2 rabbits. Since there are 46 heads in total, if 2 are rabbits, that means there are 44 chickens.

So there are 44 chickens and 2 rabbits.

b)

You can follow the same steps: I'm assuming all are child tickets for now:

3.05 * 100 = $305

And now you find how much money short you are.

498.6 - 305 = 193.6

Next, you find the difference in the ticket costs.

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7 0
3 years ago
I need help learning how to solve <br> -p-4p&gt;-10
Zepler [3.9K]

combine like terms: -5p > -10

divide by -5 on both sides: p > 2

4 0
3 years ago
Plz help me plz I need help I will mark brainlest for the answer​
Alexxx [7]

Answer:

2/3

Step-by-step explanation:

Simplifying the Complex Fraction

Convert Mixed Numbers to Fractions

56114=5654

Method 1 : LCD Multiplication

The LCD for 6 and 4 is 12

Multiply top and bottom by the LCD

12×5612×54=1015

convert to mixed numbers and

reduce fractions where possible

=1015=23

Method 2 : Fraction Division

Divide the top fraction by the bottom

(multiply top by reciprocal of bottom)

56÷54

=56×45

=2030

convert to mixed numbers and

reduce fractions where possible

=2030=23

6 0
3 years ago
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