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babunello [35]
2 years ago
8

Find f(x) if it is known that f(x+3)=4x+12.

Mathematics
2 answers:
MArishka [77]2 years ago
8 0

Solution:

we are given that

f(x+3)=4x+12

we have been asked to find f(x).

we can find the value of f(x) by re-writing the given function in the form of f(x+3) and thereafter we will replace (x+3) by x.

we can re-write the given function as below

f(x+3)=4(x+3)\\\\\Rightarrow f(x)=4x\\

Hence the expression representing f(x) is f(x)=4x+3.

Masteriza [31]2 years ago
3 0
I got x= -9/5 but I may have set up the equation wrong. I did x+3=4x+12.
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What is the distance between tow points (1,5)(-8,4)
Degger [83]

Answer:

\displaystyle d = \sqrt{82}

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>

  • Coordinates (x, y)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (1, 5)

Point (-8, 4)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formula]:                                                         \displaystyle d = \sqrt{(-8-1)^2+(4-5)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                   \displaystyle d = \sqrt{(-9)^2+(-1)^2}
  3. [√Radical] Evaluate exponents:                                                                       \displaystyle d = \sqrt{81+1}
  4. [√Radical] Add:                                                                                                 \displaystyle d = \sqrt{82}
6 0
2 years ago
A factory makes car batteries. The probability that a battery is defective is 1/14. If 400 batteries are tested, about how many
Rufina [12.5K]

Answer:

28.6, that is, about 29 are expected to be defective

Step-by-step explanation:

For each battery, there are only two possible outcomes. Either it is defective, or it is not. The probability of a battery being defective is independent of other betteries. So the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The probability that a battery is defective is 1/14.

This means that p = \frac{1}{14}

400 batteries.

This means that n = 400

How many are expected to be defective?

E(X) = np = 400*\frac{1}{14} = 28.6

28.6, that is, about 29 are expected to be defective

3 0
3 years ago
27. In the figure, AFJD, BGFE, CHGA, DIHB and EJIC are straight lines.<br> Find a + b + C + d + e.
aalyn [17]
It is just asking to find the sum of interior angles
So follow this rule 180(n-2)
180(5-2)
180(3)= 540
So in another words: a+b+c+d+e=540
5 0
3 years ago
A square has a side length of 5x and a perimeter of 60.<br> What is the value of x?
kozerog [31]

Answer:

x=3

Step-by-step explanation:

60/4=15\\15/5=3\\x=3

7 0
3 years ago
Equations<br> divison-<br> m+72=100<br> Help!!!
Mademuasel [1]

The solution to the equation, <em>m</em> + 72 = 100, is ...

m = 28.

6 0
2 years ago
Read 2 more answers
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