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jeka57 [31]
2 years ago
11

Given the polynomial function below, find F(-1).

Mathematics
1 answer:
mrs_skeptik [129]2 years ago
3 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

f(x) =  -  {x}^{3}  -  {x}^{2}  + 1

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

f( - 1) =  -  ({ - 1})^{3} -  ({ - 1})^{2} + 1 \\

f( - 1) =  - ( - 1) - (1) + 1

f( - 1) = 1  - 1 + 1

f( - 1) = 2 - 1

f( - 1) = 1

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is (( D )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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Find the length of a photograph whose width is 10 inches and whole proportions are the same as a 5-inch by 8-inch photograph.
Naily [24]

5 inch is the width, 8 inch is the length.

Find to scale between the two widths:

10 /5 = 2 the larger photo is 2 times larger,

Multiply the known length by 2:

8 x 2 = 16

The length would be 16

4 0
3 years ago
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If g(x)= square root of 3-5x, find the domain of g'(x).
BaLLatris [955]

Answer:

domain: x>3/5

Step-by-step explanation:

First we need to derive our function g(x) to get a new function g'(x)

To do this we will have to apply chain rule because we have an inner and outer functions.

Our G(x) = square root(3-5x)

Chain rule formula states that: d/dx(g(f(x)) = g'(f(x))f'(x)

where d/dx(g(f(x)) = g'(x)

g(x) is the outer function which is x^1/2

f(x) is our inner function which is 3-5x

therefore f'(x)= 1/2x^(-1/2) and f'(x) = -5

g'(f(x)) = -1/2(3-5x)^(-1/2)

Applying chain rule then g'(x) = 1/2 (3-5x)^(-/1/2)*(-5)

But the domain is the values of x where the function g'(x) is not defined

In this case it will be 3-5x > 0, because 3-5x is a denominator and anything divide by zero is infinity/undefined

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3 years ago
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The sum of two numbers is 28. one number is 14 more. find the numbers
ruslelena [56]
The numbers are:  "7 " and "21 " .
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Explanation:
_______________________________________
The numbers are:  "x"  and "x + 14" .

x + (x + 14) = 28 .  Solve for "x" ; and then solve for "x + 14" .
_______________________________________
 → x + (x + 14) = 28 ;

Rewrite as:

 →  x + x + 14 = 28 ;

 →  1x + 1x + 14 = 28 ;

 →  2x + 14 = 28 ; 
  
 Subtract "14" from each side of the equation;
 
 →  2x + 14 − 14 = 28 <span>− 14 ;

</span> →  2x = 14  ;

Divide EACH SIDE of the equation by "2" ;
     to isolate "x" on one side of the equation; & to solve for "x" ;

 →  2x / 2 = 14 / 2 ;

 →  x = 7 . 
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So;  one of the numbers is:  " 7 " .

The other number is:  " x + 14 " ; which equals: " 7 + 14 = 21".

The other number is:  "21 " .
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The numbers are:  "7 " and "21 " .
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pretty boring, I'm kind of tired to be honest. What ab you?

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Answer:

(1, 4, 6, 8, \frac{1}{2}, 10, 3, \frac{11}{2})

Step-by-step explanation:

We need to find union of given sets (1, 4, 6, \frac{1}{2}, 10) and (1, 3, \frac{11}{2}, 10, \frac{1}{2})

We know by definition that union of two given sets say A and B is set C with all the unique and common values given in set A and B.

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