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3 years ago

9

P（x）=x³-5x²+4x-3D（x）=x-1

1 answer:

snow_tiger [21]3 years ago

7 0

Answer:

hope this helps.

btw I used synthetic decision method

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Which expression correctly represents "nine less than the quotient of a number and four, increased by three"?

kogti [31]

Answer:9-x/4+3

Step-by-step explanation:

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3 years ago

What is the equation when y=5x+4 is reflected over the x-axis, y-axis & y=x?

tigry1 [53]

Answer:

A) $y=-5x-4$

B) $y=-5x+4$

C) $y=\frac{x-4}{5}$

Step-by-step explanation:

So we have the equation:

$y=5x+4$

Let's write this in function notation. Thus:

$y=f(x)=5x+4$

A)

To flip a function over the x-axis, multiply the function by -1. Thus:

$f(x)=5x+4\\-(f(x))=-(5x+4)$

Simplify:

$-f(x)=-5x-4$

B) To flip a function over the y-axis, change the variable x to -x. Thus:

$f(x)=5x+4\\f(-x)=5(-x)+4$

Simplify:

$f(-x)=-5x+4$

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

$f(x)=5x+4$

Switch:

$x=5f^{-1}(x)+4$

Subtract 4 from both sides:

$x-4=5f^{-1}(x)$

Divide both sides by 5:

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

And we're done :)

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2 years ago

|6x|+3=21 solve for X (absolute value)

Fudgin [204]

Answer:

$x=3\text{ or } x=-3$

Step-by-step explanation:

So we have the equation:

$|6x|+3=21$

First, subtract 3 from both sides:

$|6x|=18$

Definition of absolute value:

$6x=18\text{ or } 6x=-18$

Divide both sides by 6 for both equations:

$x=3\text{ or } x=-3$

And we're done!

6 0

2 years ago

Read 2 more answers

Factor the trinomial: x^2-x-12 x 2 − x − 12

aliya0001 [1]

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3 years ago

Read 2 more answers

Jay wants to make a box, with no lid (or top), out of a 10" x 6" rectangular piece of cardboard. If Jay cuts squares with dimens

LiRa [457]

Answer:

a. $V(x)=x(10-2x)(6-2x)$

b. $S(x)=4(15-x^2)$

Step-by-step explanation:

Dimensions of rectangular piece of cardboard= $10\times 6$

According to question

Length of box,l=10-2x

Breadth of box,b=6-2x

Height of box,h=x

a.

Volume of box= $l\times b\times h$

Substitute the values in the formula

Volume of box= $x(10-2x)(6-2x)$

$V(x)=x(10-2x)(6-2x)$

b.Surface area of box= $2(b+l)h+lb$

Because the box has no lid

Substitute the values in the formula

Surface area of box= $2(10-2x+6-2x)x+(10-2x)(6-2x)$

Surface area of box= $2(16-4x)x+60-20x-12x+4x^2$

Surface area of box= $32x-8x^2+60-32x+4x^2$

Surface area of box= $60-4x^2=4(15-x^2)$

Surface area of box, S(x)= $4(15-x^2)$

4 0

2 years ago