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babymother [125]
3 years ago
9

Perform the requested operation or operations.

Mathematics
1 answer:
alukav5142 [94]3 years ago
4 0
f(x) = \frac{x-3}{5}
g(x) = 5x+3
g(f(x)) = 5(\frac{x-3}{5})+3 = x-3+3 = x

EDIT:
f(g(x))=\frac{(5x+3)-3}{5}=\frac{5x+0}{5}=\frac{5x}{5}=x
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Jared has a wooden board 11 ft long. He wants to cut it into two pieces so that the longer piece (y) is 4 ft less than 4 times t
patriot [66]

Answer:

the answer is x + y = 11 and y = 4x - 4

8 0
3 years ago
In which number does the 5 represent 5x 10,000?
lyudmila [28]
It would be 50,000, because 5*10,000=50,000.
6 0
3 years ago
If a and B are the zeros of the quadratic polynomial f(x) = x2- 5x + 4 find the value of 1/a+1/b-2ab
bearhunter [10]

Answer:

<h2>-27/4</h2>

Step-by-step explanation:

Given the quadratic polynomial given as g(x) = x²- 5x + 4, the zeros of the quadratic polynomial occurs at g(x) = 0 such that x²- 5x + 4 = 0.

Factorizing the resulting equation to get the roots

x²- 5x + 4 = 0

(x²- x)-(4 x + 4) = 0

x(x-1)-4(x-1) = 0

(x-1)(x-4) = 0

x-1 = 0 and x-4 = 0

x = 1 and x = 4

Since a and b are known to be the root then we can say a = 1 and b =4

Substituting the given values into the equation  1/a+1/b-2 ab , we will have;

= 1/1 + 1/4 - 2*1*4

= 1 + 1/4 - 8

= 5/4 - 8

Find the Lowest common multiple

= (5-32)/4

= -27/4

<em>Hence the required value is -27/4</em>

5 0
4 years ago
A triangle has a base of 10 centimeters and a height of 12 centimeters. A rectangle has a base of 10 centimeters and a height of
lina2011 [118]

Answer:  Triangle is 150 sq

Rectangle is 360 sq

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Perform the division and leave the result in trigonometric form.
Anettt [7]

Answer:

\frac{1}{2} ( cos40° + isin40°)

Step-by-step explanation:

To divide

\frac{r_{1(cosx_{1}+isinx_{1})  } }{r_{2}(cosx_{2}+isinx_{2})   }

= \frac{r_{1} }{r_{2} } [ cos(x₁ - x₂) + isin(x₁ - x₂)

Given

\frac{2(cos90+isin90}{4(cos50+isin50)}

= \frac{2}{4} ( cos(90 - 50)° + isin(90 - 50)°

= \frac{1}{2} ( cos40° + isin40° )

8 0
3 years ago
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