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Nutka1998 [239]
3 years ago
6

4x^2 - 35x - 99 / x^2 - 5x - 66 Simplify this expression and state any restrictions on the variable

Mathematics
2 answers:
Akimi4 [234]3 years ago
7 0

Answer:

4x+9/x+6

Step-by-step explanation:

arsen [322]3 years ago
6 0
\frac{4x^{2} - 35x - 99}{x^{2} - 5x - 66} = \frac{4x^2 - 44x + 9x - 99}{x^{2} - 11x + 6x - 66} = \frac{4x(x) - 4x(11) + 9(x) - 9(11)}{x(x) - x(11) + 6(x) - 6(11)} = \frac{4x(x - 11) + 9(x - 11)}{x(x - 11) + 6(x - 11)} = \frac{(4x + 9)(x - 11)}{(x + 6)(x - 11)} = \frac{4x + 9}{x + 6}
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A 12 foot ladder is placed against the side of the building. The base of the ladder is placed at an angle of 68° with the ground
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3 years ago
The number 3453 has two 3 why does each 3 have different value
Usimov [2.4K]
The two 3s have different place values. The 3 on the left is in thousands place while the 3 on the right is in the ones place. we can also look at this vc by separating each digit ( 3000 + 400 + 50 + 3)

while the digits are the same, their place determines the value
3 0
3 years ago
Read 2 more answers
Which function represents g(x), a reflection of f(x) = 6(one-third) Superscript x across the y-axis?
Rasek [7]

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis ⇒ 3rd answer

Step-by-step explanation:

Let us revise the reflection across the axes

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

∵ f(x)=6(\frac{1}{3})^{x}

∵ g(x) is the image of f(x) after reflection across the y-axis

- From the rule above reflection across the y-axis changes the sign of x

∴ g(x)=6(\frac{1}{3})^{-x}

∵ (a)^{-n}=(\frac{1}{a})^{n}

∵ (\frac{1}{a})^{-n}=(a)^{n}

∴ (\frac{1}{3})^{-x}=(3)^{x}

∴ g(x)=6(3)^{x}

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis

Learn more:

You can learn more about reflection in brainly.com/question/5017530

#LearnwithBrainly

7 0
3 years ago
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500th term of 24,31,38,45,52
tensa zangetsu [6.8K]
This looks like a simple arithmetic series. Each term is 7 greater than the previous term.

Therefore, the Nth term is 17 + 7N. 

For example, the first term is 17 + 7*1 = 17 + 7 = 24.

The second term is 17 + 7*2 = 17 + 14 = 31

etc...

And the 500th term is 17 + 7 * 500 = 17 + 3500 = 3517
3 0
3 years ago
1. Identify your variables using let statements.
Advocard [28]

The number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

<h3>How to find the number of each type of dish.</h3>

Let

  • x = number of chicken dish and
  • y = number of lobster dish
<h3>How to determine the equations for the linear system</h3>

Since it cost $40 per dish for chicken dish, the total cost of chicken dish is 40x.

Also, since it cost $70 per dish for lobster dish, the total cost of lobster dish is 70y

So, the total cost of dish is T = 40x + 70y

Also, we know that the total cost of dish is $13,570.

So, 40x + 70y = 13570  (1)

Also, there are going to be 250 guest at the dinner and thus 250 dishes.

So, the total number of dishes is x + y = 250

So, x + y = 250 (2)

So, the equations of the linear system are

40x + 70y = 13570  (1)

x + y = 250 (2)

<h3>How to determine the solution for the linear system</h3>

Since

40x + 70y = 13570  (1)

x + y = 250 (2)

From (2), x = 250 - y

Substituting x into (1), we have

40x + 70y = 13570  (1)

40(250 - y) + 70y = 13570  (1)

10000 - 40y + 70y = 13570  

30y = 13570 - 10000

30y = 3570

y = 3570/30

y = 119

Substituting y = 119 into x, we have

x = 250 - y

x = 250 - 119

x = 131

Therefore, the number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

Learn more about equation of linear system here:

brainly.com/question/13729904

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