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2 years ago

6x+9/x-5 x is not equal to 5 find inverse

Mathematics

1 answer:

algol [13]2 years ago

3 0

You have f(x)=(<span>6x+9)/(x-5) and want to find the inverse function? Please note that the parentheses are obligatory here.

1. Replace "f(x)" with y: y = </span>(6x+9)/(x-5)
<span>
2. Interchange the variables x and y: x</span> = (6y+9)/(y-5)

3. Solve this result for y: x(y-5) = (6y+9), or xy-5x = 6y+9. Then:

xy-6y = 9 + 5x, or y(x-6) = 9+5x
9+5x
Then y = --------------
x-6

Here x may not = 6, because division by zero would occur otherwise.

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Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −3? (1 point)

alisha [4.7K]

$- 22 > - 5x - 7 \geqslant - 3$
is the same thing as
$- 22 > - 5x - 7$
and
$- 5x - 7 \geqslant - 3$
Therefore, the first option is correct.

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3 years ago

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What is 4.2 divided by 20.076

faust18 [17]

Answer:

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Step-by-step explanation:

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3 years ago

Who started the problem correctly? The problem form is (-5) - (-1 3/4).

Veronika [31]

Answer:

Shane started the problem correctly

Step-by-step explanation:

We are given problem (-5) - (-1 3/4).

Mariah started the problem as (-5) + 1 - 3/4

Shane started the problem as (-5) + 1 + 3/4

We need to find who started the problem correctly.

The problem should be started by converting the mixed fraction into improper fraction i,e

$-5-(-1\frac{3}{4})\\=-5-(-1-\frac{3}{4} )\\=-5-(-\frac{7}{4})$

Now we will solve bracket by multiplying -1 with term inside the bracket i.e

$=-5+\frac{7}{4}$

$= \frac{-13}{4}$

Let's compare both the procedures now:

Mariah:

$(-5) + 1 - \frac{3}{4}$

$=(-5) - \frac{1}{4}$

$=\frac{-21}{4}$

Therefore, Mariah did not start the problem correctly.

Shane:

$(-5) + 1 + \frac{3}{4}$

$= -5 + \frac{7}{4}$

$= \frac{-13}{4}$

Therefore, Shane started the problem correctly.

6 0

2 years ago

Vern sold his 1964 Ford Mustang for $55,000 and wants to invest the money to earn him 3.6% interest per year. He will put some o

noname [10]

Answer: He should invest $44000 in fund A and $11000 in fund B.

Step-by-step explanation:

Let x represent the amount which he invested in fund A.

Let y represent the amount which he invested in fund B.

Vern sold his 1964 Ford Mustang for $55,000 and wants to invest the money to earn him 3.6% interest per year. He will put some of the money into Fund A that earns 2% per year and the rest in Fund B that earns 10% per year.. This means that

x + y = 55000

The formula for determining simple interest is expressed as

I = PRT/100

Considering fund A,

P = $x

T = 1 year

R = 2℅

I = (x × 2 × 1)/100 = 0.02x

Considering fund B,

P = $y

T = 1 year

R = 10℅

I = (y × 10 × 1)/100 = 0.1y

The interest that he wants to earn on the total amount in a year is 3.6%. The interest would be

I = (55000 × 3.6 × 1)/100 = 1980

Therefore,

0.02x + 0.1y = 1980 - - - - - - - - - -1

Substituting x = 55000 - y into equation 1, it becomes

0.02(55000 - y) + 0.1y = 1980

1100 - 0.02y + 0.1y = 1980

- 0.02y + 0.1y = 1980 - 1100

0.08y = 880

y = 880/0.08

y = 11000

x = 55000 - y = 55000 - 11000

x = 44000

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3 years ago

What is the truth about abc ? Somebody plz help me

Natasha2012 [34]

Tick first box. It is perpendicular
Tick second box. Since it is perpendicular, it is a right angle
Tick third box, the length on two sides of a triangle is the same.
ignore the last 2 answers.

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3 years ago