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Mice21 [21]
3 years ago
12

Determine the approximate ordered pair for f(x) = g(x). the graph of two linear functions negative 4 times x plus 15 times y equ

als negative 300 and 20 times x plus 4 times y equals negative 20

Mathematics
1 answer:
melisa1 [442]3 years ago
3 0

Answer:

  (x, y) ≈ (2.848, -19.241)

Step-by-step explanation:

I find it much easier to work with the problem statement when math expressions are written using numbers and symbols. We assume you have ...

  -4x +15y = -300

  20x +4y = -20

Dividing the second equation by 4 and subtracting the x-term gives ...

  y = -5-5x

Substituting that into the first equation, we get ...

  -4x +15(-5-5x) = -300

  -79x -75 = -300

  x = -225/-79 = 2 67/79 ≈ 2.8481

Substituting this into the equation for y gives ...

  y = -5(x +1) = -5(3 67/79) = -19 19/79 ≈ -19.2405

The approximate solution is ...

  (x, y) = (2.8481, -19.2405)

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Consider the functions m and n:


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The domain of any polynomial function is all real numbers. To determine the Range of this function, let c be a value in the range:

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so if we want the function to produce c, we just set x=3+c, check:

n(3+c)=(3+c)-3=c.

This means that the Range of n is all real numbers.


What this means, is that the input (x) of the function n(x) can be any real number, and the output (n(x)) can also be any number.

so let n(x)=a, consider m(a):

m(a)=(a+5)/(a-1), clearly a≠1, this means n(x)=x-3≠1, that is x≠-4
 

This means that the domain of the composed function, m(n(x)) =  say f(x), 

is all Real numbers except 4.


Check: letting x be 4, would mean n(4)=4-3=1

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Answer: Any function with domain R-{4}, has the same domain of (mon)(x) 

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3 years ago
Solve the equation. 5x + (2x + 40) = 180. What are the two angle measures of this supplementary angle?
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Step-by-step explanation:

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8 0
3 years ago
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the ratio of strawberries to grapes in the fruit salad is 3:9. the ratios of strawberries to honey dew is 6:14. if there 36 grap
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Answer:

12 strawberries

Step-by-step explanation:

Represent strawberry with S, grape with G and honeydew with H

Given

S : G = 3 : 9

S : H = 6 : 14

Required

Solve for S when G = 36

To do this, we make use of the first ratio

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Substitute 36 for G

S : 36 = 3 : 9

Convert to fractions

\frac{S}{36} = \frac{3}{9}

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Multiply both sides by 36

36 * \frac{S}{36} = \frac{1}{3} * 36

S = \frac{1}{3} * 36

S = \frac{36}{3}

S = 12

<em>Hence, there are 12 strawberries</em>

4 0
2 years ago
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