PLZ HELPPPPPP!!!!!!!!!

Find the inverse function of <img src="https://tex.z-dn.net/?f=y%3D3%5E%7Bx-2%7D" id="TexFormula1" title="y=3^{x-2}" alt="y=3^{x

kirill [66]

Step-by-step explanation:

Inverse of

y

=

x

+

3

x

−

2

is

y

=

2

x

+

3

x

−

1

Explanation:

As

y

=

x

+

3

x

−

2

x

y

−

2

y

=

x

+

3

or

x

y

−

x

=

2

y

+

3

or

x

(

y

−

1

)

=

2

y

+

3

or

x

=

2

y

+

3

y

−

1

Hence inverse of

y

=

x

+

3

x

−

2

is

y

=

2

x

+

3

x

−

1

Observe that each of the function is a reflection of the other in the line

x

=

y

.

graph{(y-(x+3)/(x-2))(y-(2x+3)/(x-1))(x-y)=0 [-10, 10, -5, 5]}

6 0

3 years ago

Find the value of c so that (x-5) is a factor of the polynomial p(x)

liubo4ka [24]

I think the question is

Find the value of c so that (x-5) is a factor of the polynomial

$p(x) = x^3 + 2x^2 + cx + 10$

The other factor is going to be some quadratic. We can say a few things about its coefficients but let's start by saying in general it's

$q(x)= ax^2 + bx + k$

$p(x) = (x-5)q(x)$

$x^3 + 2x^2 + cx + 10 = (x-5)(ax^2 + bx+k) = ax^3 + (b-5a)x^2 + (k-5b)x - 5k$

Equating respective coefficients,

$a=1$

$b-5a = 2$

$k - 5b = c$

$-5k = 10$

so we get

$b = 2 + 5 = 7$

$k = 10/-5 = -2$

$c = k - 5b = 2 - 5(7)= -37$

Answer: -37

Check:

$(x^2 + 7x - 2)(x - 5) = x^3 + 2 x^2 - 37 x + 10\quad\checkmark$

7 0

2 years ago

the length of a rectangle is 5 ft more than the width. The. Is 22 ft. Find the width of a rectangle.

musickatia [10]

Answer:

To the tenth = 2.8

Step-by-step explanation:

x*(x+5) = 22

2.8 * (2.8 + 5) = about 22

5 0

2 years ago

Find the value of y.<br> 24<br> 18<br> у<br> Answer:

stiv31 [10]

Answer:

12

Step-by-step explanation:

It has been going down by 6 because 24-6=18 and 18-6=12.

6 0

2 years ago

Which of the following inequalities is equivalent to 3-(w+2)>4+2w

Kay [80]

$3 - w - 2 > 4 + 2w \\ - w - 2w > 4 + 2 - 3 \\ - 3w > 6 - 3 \\ \frac{ - 3w}{ - 3} > \frac{3}{ - 3} \\ w < - 1$
The sign at the end changes because both sides of the equation are being divided by a negative number.

4 0

2 years ago

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PLZ HELPPPPPP!!!!!!!!!​

PLZ HELPPPPPP!!!!!!!!!