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AveGali [126]
3 years ago
5

F (x)=(3x+1)(x^-3x-6)

Mathematics
1 answer:
lina2011 [118]3 years ago
3 0
Replace <span><span>f<span>(x)</span></span><span>f<span>(x)</span></span></span> with <span>yy</span>.<span><span>y=3x−6</span><span>y=3x-6</span></span>Interchange the variables.<span><span>x=3y−6</span><span>x=3y-6</span></span>Solve for <span>yy</span>..<span><span>y=2+<span>x3</span></span><span>y=2+<span>x3</span></span></span>Solve for <span>yy</span> and replace with <span><span><span>f<span>−1</span></span><span>(x)</span></span><span><span>f<span>-1</span></span><span>(x)</span></span></span>.
<span><span>f<span>−1</span></span><span>(x)</span>=2+<span><span>x3</span></span></span>
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The 13-foot string is arranged into a rectangle. Let L denote the length of the rectangle,
soldi70 [24.7K]

The expressions for the width, W, and area, A, of the rectangle in terms of L are:

  • W = \frac{13}{2} - L
  • A = \frac{13L - L^{2} }{2}

The expression for the perimeter of a rectangle is given as:

P = 2(L + W)

where L is its length and W its width

a. Given that the perimeter of the rectangle is 13 feet, then;

13 = 2(L + W)

divide through by 2

\frac{13}{2} = L + W

So that;

W = \frac{13}{2} - L

The required formula for the width as a function of L is: W = \frac{13}{2} - L

b. Area of a rectangle can be expressed as;

A = L * W

substitute the expression for width in that of area to have

A = L * ( \frac{13}{2} - L)

  = \frac{13}{2}L - L^{2}

A = \frac{13L - L^{2} }{2}

The expression for the area A is: A = \frac{13L - L^{2} }{2}

Visit: brainly.com/question/10452031

5 0
2 years ago
Unit 2, Lesson 12
Solnce55 [7]

Answer:

the answer for a is 2 and 2/4 which is equal to 2 and 1/2

Step-by-step explanation:

7 0
2 years ago
Five times a number decreased by 18 minus 4 times the same number is -36. what is the number?
kaheart [24]

(5x - 18) - 4x = -36

Let's solve your equation step-by-step.

5x − 18 − 4x = −36

Step 1: Simplify both sides of the equation.

5x − 18 − 4x = −36

5x + −18 + −4x = −36

(5x + −4x) + (−18) = −36 (Combine Like Terms):

x + −18 = −36

x − 18 = −36

Step 2: Add 18 to both sides.

x − 18 + 18 = −36 + 18

x = −18


Answer: ========> x = -18 is the number




Hope that helps!!!! : )


3 0
2 years ago
Find C to form completing Square<br> <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B5x%20%2B%20C" id="TexFormula1" title="x^
postnew [5]

Answer:

\frac{25}{4}  (or 6.25)

Step-by-step explanation:

Let's do a simple square problem to see the relationship between the elements of the resulting equation...

(x+3)(x+3) = x(x+3) + 3(x+3) = x^{2} +3x + 3x + 9 = x^{2} + 6x + 9

As you see, the number of 'x' (6) is the double of the numeric part of the binomial expression (3), while the numeric-only part (9) is the square of the numeric part of the binomial expression (3).

So, if we look at the formula from the problem, we see the the number of 'x' is 5. To obtain the C value, we need to divide the 5 by 2... then get the square value of the result.

\frac{5}{2} * \frac{5}{2} = \frac{25}{4}  (or 6.25)

3 0
3 years ago
Vocabulary Check<br> Write the definition of each.<br> 5. bar graph<br> 6. scale
ra1l [238]
Bar chart definition: a diagram in which the numerical values of variables are represented by the height or length of lines or rectangles of equal width.

4 0
2 years ago
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