1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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
You might be interested in
For an annual membership fee of $500, Mr. Bailey can join a country club that would allow him to play a round of golf for $35. W
Elodia [21]

Answer:

20

Step-by-step explanation:

let the number of rounds of golf played for the cost to equal be x.

-It costs $35/ round when the membership of $500 is paid, hence, total annual cost is:

500+35x

#When membership is not paid, the annual cost is expressed as:

55x

#Since the cost should be equal after x rounds, we equate the two to solve for x:

500+35x=55x\\\\500=20x\\\\x=25

Hence, Mr Bailey has to play 20 rounds of golf for the cost in both scenarios to be equal.

6 0
3 years ago
Send help my way please y'all so smart
Fofino [41]
Graph A is the correct one
3 0
2 years ago
Read 2 more answers
150 inches = ___ feet ___ inches ( please help asap )
PIT_PIT [208]
There are 12 inches in a foot, so divide 1590 by twelve. It equals 12.5. That is 12 feet and 5 inches!
3 0
3 years ago
Read 2 more answers
15 POINTS: A motorboat traveling downstream covers the distance between port M and port N in 6 hours. Once, the motorboat stoppe
pav-90 [236]

Answer: S=18

Step-by-step explanation:

D = distance between M and N  

S = speed of the boat  

S + 2 = speed down streem  

S - 2 = speed upstream  

T = time on the downstream leg until the boat made its turn  

9-T= time on the upstream leg  

6(S + 2) = D  

T (S + 2) = D - 40  

(9-T)(S-2) = D - 40  

now we have 3 equations and 3 uknowns  

lets multply everything out  

6S + 12 = D  

ST + 2T = D - 40  

9S - 18 - ST + 2T = D - 40  

add the second 2 together to get rid of the ST term  

9S - 18 + 4T = 2D - 80  

and lest subtract them from one annother  

2ST - 9S + 18 = 0  

if we can find T in terms of S we will have a quadratic equation, and will be able to use the quadratic formula / factor

9S - 18 + 4T = 2(6S + 12) - 80  

9S - 18 + 4T = 12 S + 24 - 80  

4T = 3S - 38  

T = 0.75 S - 9.5  

2S(0.75 S - 9.5) - 9S + 18 = 0  

1.5 S^2 - 28 S + 18 = 0  

S = 18, 2/3  

now it doesn't make sense for S to equal -2/3 as it suggests the boat moves backward when it is going up stream. (and that it travels downstream for negative time)  

S = 18

8 0
3 years ago
QUUESTION Today, everything at a store is on sale! The store offers a 20% discount.
julsineya [31]

Answer:

(x÷100)20

Step-by-step explanation:

x÷100 would be 1% so then to find 20% you would multiply by 20

6 0
3 years ago
Other questions:
  • Erin discovered a relationship between numbers. The Venn diagram shows how Erin sorted a group of numbers. Using the Venn diagra
    9·1 answer
  • Write an equation of the line with a slope of $2$ and $y$-intercept of $9$.
    6·1 answer
  • What are the 4th and 9th entries in the row 11 of Pascal's triangle?
    15·1 answer
  • What is the common denominator of 3/8 and 1/4
    7·2 answers
  • What is the solution to 4x-10 &gt;
    11·1 answer
  • What is the y-intercept of a line that has a slope of –3 and passes through point (0, –7)?
    13·2 answers
  • A tie rack contains 5 striped ties, 8 solid ties, and 6 polka dot ties. How many possible outcomes are there when choosing a tie
    10·2 answers
  • Solve 3x - 9x + 7 - 3 = -8.<br><br> a. 6<br> b. -6<br> c. 2<br> d. -2
    6·2 answers
  • Identify the inverse of f(x)=x^2-9
    9·1 answer
  • What algebraic expression is a product with a factor of 5
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!