⦁ Determine the zeros of f(x) = (x + 1)^2(x – 3)(x – 4). Indicate the multiplicity of any factors that occur more than once.

Answer:  [tex]2x^3-2x^2-13x+3[/tex]

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Work Shown:

I'm assuming you meant to say [tex](x - 3)(2x^2 + 4x - 1)[/tex]

Let [tex]y = x-3[/tex]

So,

[tex](x - 3)(2x^2 + 4x - 1)\\\\y(2x^2 + 4x - 1)\\\\y2x^2 + y4x - y\\\\2x^2(y) + 4x(y) - (y)\\\\2x^2(x-3) + 4x(x-3) - (x-3)\\\\2x^3-6x^2 + 4x^2-12x - x+3\\\\2x^3-2x^2-13x+3\\\\[/tex]

The basic idea is to use the distribution rule (line 3 and line 6) and then combine like terms.

Answer:

5 to 4

Step-by-step explanation:

when it's asking for a ratio it's basically division

chocolate/vanilla = 40/32 = 5/4

5/4 is the same as 5:4 or 5 to 4

Step-by-step explanation:

79×0.08 = 6.32 (tax)

79(price) + 6.32(tax) = 85.32

Answer:

Step-by-step explanation:

14 dived by 25 is 56%

Answer:

I believe the answer would be 20 miles max for one passenger.

Step-by-step explanation:

This is because if you create an equation out of this, knowing that only one passenger will be riding, you will get:

$3.00+$1.25x=$28       ($3 added too $1.25 times the number of miles (x) which equals the total amount you have ($28)).

x being the number of miles (so we need to calculate for x)

$3 + $1.25x = $28

-subtract 3 on both sides-

$1.25x=$28-$3

$1.25x=$25

-divide by 1.25 on both sides-

x=$25/$1.25

x=20 miles

Not sure if all calculations are correct, but I hope this helps :)!

Answer:

By finding the product of a point's x coordinate times the next point's y coordinate, then subtracting the y coordinate of the first point times the x coordinate of the second coordinate and dividing by two, you will find the area of the polygon.

Step-by-step explanation:

Answer:

  a) 4x -3y ≥ -24

  b) 2x +3y ≥ -12

  c) 4x -3y ≤ 12

  d) 2x +3y ≤ 24

Step-by-step explanation:

All of the given points are on the axes, so it is useful to know the intercept form of the equation for a line is ...

  x/a +y/b = 1 . . . . . . where a is the x-intercept and b is the y-intercept.

The boundary line for the first side is ...

  x/-6 +y/8 = 1

  4x -3y = -24 . . . . . . multiply by -24 to put in standard form

The graph shows the quadrilateral is to the right of this line, so its inequality is ...

  4x -3y ≥ -24

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The boundary line for side 2 has equation ...

  x/-6 +y/-4 = 1

  2x +3y = -12 . . . . . multiply by -12

The quadrilateral is to the right of this line, as well, so its inequality is ...

  2x +3y ≥ -12

__

We can see from the graph that the x-intercept of the boundary line for side 3 is x=3. The equation for that boundary line is ...

  x/3 +y/-4 = 1

  4x -3y = 12

The quadrilateral is to the left of this line, so its inequality is ...

  4x -3y ≤ 12

__

Apparently, side 4 is intended to use points already given. We assume it passes through (6, 4) and (0, 8). This boundary is parallel to side 2, so will have the same equation, but with a different constant.

  2x +3y = 2(0) +3(8) = 24

The quadrilateral is to the left of this line, so its inequality is ...

  2x +3y ≤ 24

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The second attachment shows a graph of the four inequalities with their shading.

_____

Additional comment

All of the inequalities are written in standard form, so the x-coefficient is positive for all of them. The direction of the inequality symbol can be chosen to select values of x that are greater than or less than those on the boundary line. If the shading is to be to the right, then larger x-values are required, and the inequality will have the form ax + by ≥ c (a > 0). If shading is to the left, then smaller x-values are required, and the inequality symbol points in the other direction.

The figure is a parallelogram, not a rectangle.

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

[tex]:\implies\sf{ \frac{36}{x} = - 9} \\ \\ :\implies\sf{ \frac{36}{ 9} = -x} \\ \\ :\implies\sf{4 = -x} \\ \\ :\implies\sf{x = -4}[/tex]

Answer:

I'm not sure but I'll try help you work it out

Step-by-step explanation:

You need to do 300 x 0.75

Then you need to do 0.75 + 0.75, 300 x 1.50

Now compare the answers

A reasonable domain could be a bake sale <3

Sorry I tried to help

Answer:

a) 3.6 × 10²

Time = distance / speed

So time = 1.08 × 10⁸ / 3 × 10⁸

= 1.08 × 10¹¹ / 3 × 10⁸ ( converted 10⁸ km to meter )

= 1.08 × 10³ / 3

= 0.36 × 10³

. = 3.6 × 10²

Time = 3.6 × 10²

Answer: If a person has a better credit, they have better chances of getting the job they had applied for. Getting the job means they get a stable income. Having a stable income helps a person to buy all essential needs.

Step-by-step explanation:

Answer:

w = 2.5

Step-by-step explanation:

Write these 2 equations to represent the problem:

[tex]l=w+5\\2w+2l=20[/tex]

where w is width and l is length. This can then be solved as a system of equatios. I'll solve by substitution, and as the [tex]l[/tex] is already solved for at the top:

[tex]2w+2l=20\\2w+2(w+5)=20\\2w+2w+10=20\\4w+10=20\\4w=10\\w=2.5[/tex]

If you just need the width, then you're already done there. I'll find  the other variable too, and then check it to be sure it's correct.

[tex]l=w+5\\l=(2.5)+5\\l=7.5[/tex]

Now, confirm that with the second equation:

[tex]2w+2l=20\\2(2.5)+2(7.5)=20\\5+15=20\\20=20[/tex]

The perimeter of a rectangle is the sum of its side lengths.

The width of the rectangle is 2.5 units

Represent the length with l and the width with w.

So, we have:

[tex]P =2 \times (l + w)[/tex] --- the formula of perimeter

The perimeter is 20 units.

So, we have:

[tex]20 =2 \times (l + w)[/tex]

Divide both sides of the equation by 2

[tex]10 =l + w[/tex]

The length is said to be 5 more than its width.

So, we have:

[tex]l =5 + w[/tex]

Substitute 5 + w for l in [tex]10 =l + w[/tex]

[tex]10 = 5 + w + w[/tex]

[tex]10 = 5 + 2w[/tex]

Subtract 5 from both sides

[tex]5 = 2w[/tex]

Divide both sides by 2

[tex]2.5 = w[/tex]

Rewrite as:

[tex]w =2.5[/tex]

Hence, the width of the rectangle is 2.5 units

Read more about perimeters at:

https://brainly.com/question/397857

Answer:

$44.68

Step-by-step explanation:

plus you have would have to find out what the money would be 10% off and then you add on the sales tax

Answer:

-2

Step-by-step explanation:

3 - 19 = 8(x)

-16 = 8(x)

-16/8 = x

x = -2

Answer:

I believe that it is -2

Step-by-step explanation

 I had this math question too  

Answer:

55:5 for the second one, 121:11 for the second one

Step-by-step explanation:

Answer:

55 and 121

Step-by-step explanation:

22/2=11

11=1

11*5=55

11*11=121

Answer:

1076

Step-by-step explanation:

I just need points lol

Answer:

Well, I think this is correct:

Well, if we know that a and b are parallel, that means they have the same slope but different y-intercept.  So, if c and a intersects, then c and b are bound to intercept, because when c intersects with a, it will also cross b, since it will be going in the same route...which will make it also intersect with b. (crossing.)

Sorry if I'm wrong.

Hope this helps! :)

Answer:

<A = 26°

Step-by-step explanation:

4x - 30 + 4x - 14 = 180

Supplementary angles sum together to make 180

=> 4x + 4x = 16x

=> -30-14 = -44

16x = 180+44

16x = 224

x = 224/16

x = 14°

4(14) - 30 = 26°

See attachment for answer and math work.

Answer:

7x-4y=29

Step-by-step explanation:

the answer should be that's it

Answer:

The value is [tex]\frac{1}{16384}[/tex]

Step-by-step explanation:

Here we need to find

[tex]\frac{x^{m+n}\cdot y^{n-m}}{x^{m-n}\cdot y^{n+m}}=x^{m+n-(m-n)}\cdot y^{n-m-(n+m)}\\\\=x^{2n}\cdot y^{-2m}\\\\=2^{2\cdot-1}\cdot 4^{-2\cdot3}\\\\=\frac{1}{2^2\times4^6} \\\\=\frac{1}{16384}[/tex]

Answer:

Line 1 is D

Line 2 is I

Line 3 is B

Line 4 is F

Step-by-step explanation:

Find the slope of each line to get these answers, and when you see an equation like y=3x+1 it means that 1 is the y intercept and 3 is the slope

Answer:

120 pounds

Step-by-step explanation:

24÷30 =0.8

0.8 x 150= 120 pounds

Answer:

answer is in an image here

imageshare.best/image.php?id=JS9NDO

Explanation:

copy n paste in browser

not a bot btw

Answer:

h,c

Step-by-step explanation:

In the "1s" place,

1₅ + 3₅ = 4₅

In the "5s" place,

2₅ + 4₅ = (6)₅ = (5 + 1)₅ = 10₅ + 1₅ = 11₅

In the "25s" place, we carry the leading 1 from the "5s" place,

3₅ + 3₅ + 1₅ = (7)₅ = (5 + 2)₅ = 10₅ + 2₅ = 12₅

In the "125s" place, we carry over the 1 again,

4₅ + 1₅ = (5)₅ = (5 + 0)₅ = 10₅ + 0₅ = 10₅

Putting everything together,

4321₅ + 343₅ = 10214₅

Answer:

[tex]x=-9\pm6i[/tex]

Step-by-step explanation:

[tex]6x^2+108x+707=5[/tex]

[tex]6x^2+108x+702=0[/tex]

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-108\pm\sqrt{(108)^2-4(6)(702)}}{2(6)}[/tex]

[tex]x=\frac{-108\pm\sqrt{-5184}}{12}[/tex]

[tex]x=\frac{-108\pm72i}{12}[/tex]

[tex]x=-9\pm6i[/tex]

Answer:

B

Step-by-step explanation:

A does not represent a function because the x-value of 3 appears twice, and by the defenition of a function, the x-value cannot appear twice for it to be considered a function. B could be a function because the x-values are not repeated.

Therefore the answer is B, only B is a function.