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kherson [118]
3 years ago
11

Please show your work thank you

Mathematics
1 answer:
tester [92]3 years ago
4 0
1) replace "f(x)" with "y:"

y = 7 / (6x -5)

2) Interchange "x" and "y:"

x = 7 / (6y - 5)

3)  Solve this new equation for y:

x(6y - 5) = 7, or 6xy - 5x = 7, or      6xy = 7 + 5x.

                 7+5x
Then y = ------------
                   6x
                                -1
4) Replace y with " f   (x)."

  -1            7+5x
f     (x) = -----------   (answer)
                    6x
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Which equation demonstrates the additive identity property?
xxMikexx [17]

Answer:

See Explanation

Step-by-step explanation:

<em>The options are not given; however, you can take a clue from my explanation to answer your question</em>

Let x be a real number;

Additive identity property implies that; adding x to 0 or 0 to x gives x;

In other words;

x + 0 = x

0 + x = x

Note that x can be replaced with any real number; Take for instance

1 + 0 = 1

0 + 2.5 = 2.5

3 + 0 = 3

There are uncountable number of examples;

<em>However, take note that adding 0 to a given digit results in the exact digit and that's the implication of addition identity property</em>

7 0
3 years ago
Read 2 more answers
Which expression is equivalent to this expression? x(2x+3) Question 1 options: 2x2+3 2x2+3x 2x2−3x 3x + 3
sleet_krkn [62]

Answer:

2x^2+3x is the expression which is equivalent to  x\left(2x+3\right).

In other words:

x\left(2x+3\right)=2x^2+3x

Step-by-step explanation:

Given the expression

x\left(2x+3\right)

solving

x\left(2x+3\right)

\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac

a=x,\:b=2x,\:c=3

=x\cdot \:2x+x\cdot \:3

=2xx+3x

=2x^2+3x            ∴  2xx=2x^2

Thus,

x\left(2x+3\right)=2x^2+3x

Therefore, 2x^2+3x is the expression which is equivalent to  x\left(2x+3\right).

8 0
3 years ago
Guided Practice
frez [133]

Answer:

A. 15, 20, and 25

Step-by-step explanation:

Note that 3-4-5 is a pythagorean triple via following:

\sqrt{ (3^2 + 4^2 )} = 5^2

Dividing 15, 20, and 25 by 5 nets you the pythagorean triple 3-4-5.

7 0
3 years ago
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Orlando buys a shirt for $15 and a pair of jeans for $32.50. If the sales tax is 8%, what is the total price Orlando pays for th
scoray [572]
$15 + $32.50 + 8% = $51.30

15 + 32.50 = 47.50

8% × 47.50 = 3.80

47.50 + 3.80 = 51.30
5 0
2 years ago
Read 2 more answers
The figure below shows a shaded rectangular region inside a large rectangle:
pshichka [43]

Answer:

b. 58%

Step-by-step explanation:

Calculate the area of the entire rectangle using the formula A = lw.

The lowercase "L" is for length.

"w" is for width.

The lighter square is 10 units long by 5 inches wide.

A = lw

A = (10 in)(5 in)   Multiply

A = 50 in²

Calculate the area for the shaded rectangle, 7 inches by 3 inches.

A = lw

A = (7 in)(3 in)    Multiply

A = 21 in²

Calculate the area for the non-shaded region by subtracting the shaded area from the total area.

50 in² - 21 in² = 29 in²

The chance that a point in the large rectangle will NOT be in the shaded region is 29/50.

Convert this fraction to decimal form by using a calculator. Divide the top number by the bottom number.

29/50 = 0.58

0.58 is in decimal form. To convert it to a percentage, multiply the number by 100.

0.58 = 58%

Therefore the probability that a point chosen inside the large rectangle is not in the shaded region is 58%.

5 0
3 years ago
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