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3 years ago

Given the function f(x) = 3x + 1, what is the value of f(-2/3)? show work

Mathematics

1 answer:

Marta_Voda [28]3 years ago

7 0

Answer:

f(-2/3) = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 1

f(-2/3) is x = -2/3

Step 2: Evaluate

Substitute: f(-2/3) = 3(-2/3) + 1
Multiply: f(-2/3) = -2 + 1
Add: f(-2/3) = -1

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Answer:

mean = 2.55

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Step-by-step explanation:

Probability of babies who are boys

P = 0.51

Then we have q = 1-p

= 1-0.51

= 0.49

We have n = 5

We calculate the mean as:

= 0.51x5

= 2.55

Therefore mean = 2.55

The standard deviation

= √variance

= √npq

= √0.51x5x0.49

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2 years ago

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Answer:

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Step-by-step explanation:

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38000+500x= salary

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2 years ago

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Masteriza [31]

Answer:

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2 years ago

Afla un numar,stiind ca: a)jumatatea treimii lui este 25; b)sfertul jumatatii lui este 48; c)treimea sfertului sau,marita cu 17

aalyn [17]

Answer:

(a) 150

(b) 384

(c) 84

(d) 261

(e ) 480

Step-by-step explanation:

(a)

Let 'a' be a number such that the half of his third is 25; i.e.

$\dfrac{1}{2}\times(\dfrac{1}{3}a)=25\\\\\dfrca{1}{2\times3}a=25\\\\\dfrac{1}{6}\times a=25\\\\a=25\times6\\\\a=150$

Hence, the number is 150.

(b)

Let 'b' be the number such that the quarter of his half is 48 i.e.

$\dfrac{1}{4}(\dfrac{1}{2}b)=48\\\\\dfrac{1}{8}b=48\\\\b=48\times8\\\\b=384$

Hence the number is 384.

(c)

Let 'c' be the number such that the third quarter or, increased by 17 is 80.

$\dfrac{3}{4}c+17=80\\\\\dfrac{3}{4}c=80-17\\\\\dfrac{3}{4}c=63\\\\c=\dfrac{63\times4}{3}\\\\c=\dfrac{252}{3}\\\\c=84$

Hence, the number is 84.

(d)

Let 'd' be the number such that its triplet, reduced by 28 is 755

$3d-28=755\\\\3d=755+28=783\\\\d=\dfrac{783}{3}\\\\d=261$

Hence the number is 261.

Let 'e' be the number such that double his third, increased by 80 is 400.

$\\2\dfrac{1}{3}e+80=400\\\\\dfrac{2}{3}e=400-80=320\\\\e=\dfrac{320\times 3}{2}\\\\e=\dfrac{960}{2}\\\\e=480$

Hence, the value of the number is 480.

4 0

3 years ago

The expression below can be used to find the area of a triangle with a base of 4.5 in. and a height of 2.1 in. One-half (n) (2.1

bekas [8.4K]

Answer:

Step-by-step explanation:

4.5

4 0

3 years ago

Given the function f(x) = 3x + 1, what is the value of f(-2/3)? show work ​

Given the function f(x) = 3x + 1, what is the value of f(-2/3)? show work