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madreJ [45]
3 years ago
11

Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be written using fun

ction notation
Mathematics
2 answers:
natka813 [3]3 years ago
5 0
Question: Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be written using function notation.  Answer: This function can be written using the following function notation: f(x)=__ x + 4 ; f(x)= -3x+4
Dima020 [189]3 years ago
3 0
9x + 3y = 12
3y = - 9x + 12
y = -9/3 x + 12/3
y = -3 x + 4

y = f(x)

Thus, f(x) = - 3x + 4


 



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the volume of a triangular prism is 42 cubic centimeters. what is the volume of a similar prism that is twice as large as large
Dmitriy789 [7]

Answer:

The volume of the similar prism is 336\ cm^{3}

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x----> the volume of the larger prism

y----> the volume of the smaller prism

so

z^{3}=\frac{x}{y}

In this problem we have

z=2 -----> the scale factor

y=42\ cm^{3}

substitute and solve for x

x=42(2^{3})=336\ cm^{3}

3 0
3 years ago
If an architect wants to draw a plan for a house that is 75 ft by 80 ft, and his paper is 10 in. by 17 in., what is the best sca
drek231 [11]
The best scale factor to make use of every inch of the paper would be that 1 inch represents 7.5 feet.
7 0
3 years ago
Can anybody help me with number 20....just number 20 plz?....thank u
MatroZZZ [7]
The property used in #20 was called 'the distributive property'.

This property gets rid of the parenthesis and also gets the expression more simple. 

x(y+b)
x*y + x*b              ⇔ Notice the change here? 

Answer would be: Distributive property 

6 0
4 years ago
In 2007 the population of the town of Cartersville was 24,455. The population growth can be represented by the formula P = 24,45
Triss [41]
P = 24455 (1.03)x
30,000/24455 (1.03) < x
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3 0
3 years ago
Simplify (4x+5y)(2x-3y)+3xy<br><br> Help
amid [387]

Answer:

8x² - 15y² + xy

Step-by-step explanation:

(4x + 5y) (2x - 3y) + 3xy

multiplying the terms in brackets

(4x) (2x - 3y) + (5y) (2x - 3y) + 3 xy

multiplying with each terms inside the bracket

(4x)(2x) - (4x) (3y) + (5y) (2x) - (5y) (3y) + 3xy

doing the product each of the pair of terms

8x² - 12xy + 10xy - 15y² + 3xy

taking the sum of terms with coefficient "xy"

8x² - 15y² -2xy + 3xy

8x² - 15y² + xy


3 0
3 years ago
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