Help me with #9 please!!

Solution :

Given :

[tex]$f(x)=x^3-x^2-18x+19$[/tex]

By using the remainder theorem, if f(x) is divided by (x-k) and the remainder is 'r', then

[tex]$f(x)=(x-k)q(x)+r$[/tex]

Here, k = 4

Therefore, divide the f(x) with (x - 4) to find the q(x) and r.

           __________________

[tex]$x-4$[/tex]    |    [tex]$x^3-x^2-18x+19$[/tex]         |      [tex]$x^2+3x-6$[/tex]

            [tex]$x^3-4x^2$[/tex]

         ------------------------------------

                    [tex]$3x^2-18x$[/tex]

                    [tex]$3x^2-12x$[/tex]

          -------------------------------------

                          [tex]$-6x+19$[/tex]

                          [tex]$-6x+24$[/tex]

          -------------------------------------

                                  [tex]$-5$[/tex]

Therefore,

q(x) =  [tex]$x^2+3x-6$[/tex]

  r = -5

[tex]$f(x)=(x-4)(x^2+3x-6)-5$[/tex]

[tex]$f(4)=(4-4)(4^2+3 \times 4-6)-5$[/tex]

       [tex]$=-5$[/tex]

Answer:

8

Step-by-step explanation:

10-2 = 8

The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first, order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

(I found this explanation online)

Answer:

5

Step-by-step explanation:

Take the cubed root of 125. In other words what number is multiplied by itself three times to get 125.

5x5x5= 125

Answer:

Step-by-step explanation:

Find solutions on the web

Factor using difference of cubes and set each factor equal to  

y=5,

Answer:

The answer is yes, 1:1.6

Step-by-step explanation:

If you divide 6.4 by 4 and 3.2 by 2, you get 1.6. Hoped this helped. :)

Answer:

mask

Step-by-step explanation:

1st: (20,110)

2nd: (95,10)

Hope this helps!

Answer:

No image please add it on your next question.

Answer:

y = 17 - p

Step-by-step explanation:

Given y = (204 - 12p) /12

we need to simplify

To do so all we have to do is divide what is inside of the parenthesis by 12

204/12=17

-12p/12=-p

we're left with y = 17 - p

Answer: -7

Step-by-step explanation: y+3x=8x-7

subtract 3x from both sides y=5x-7

y=Mx+b

b=-7

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bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

choice c has a value of .9, so c

Step-by-step explanation:

i hope this helps

Answer:

V = 72 ft³

Step-by-step explanation:

V = (3 x 8 x 2) + (4 x 2 x 3) = 72 ft³

Answer:

Try 1,152

Step-by-step explanation:

I think you have to multiply all the numbers and get 1,152. I'm not that good at math but.

Answer:

44.4

Step-by-step explanation:

7 4/10x5=37

37+7 4/10=44.4

Answer:

-89

Step-by-step explanation:

-89

-89= 10(-7) - 19   ----------->  -70 - 19

Answer: 4 hours

Step-by-step explanation:

Given

Auto charge a fixed amount of $35

and $7 per hour

Rafa bill was $63

Suppose Rafa travels for x hours. So, we can write

[tex]\Rightarrow 63=35+7x\\\Rightarrow 28=7x\\\Rightarrow x=4\ \text{hour}[/tex]

Answer:

3/8 is 3 divided by 8

Step-by-step explanation:

Three is in the numerator and eight is in denominator and so it is 3 divided by eight

Answer:

4

Step-by-step explanation:

The graph is moved up by 4, that is why it says +4 in the equation

Answer:

I'm pretty sure it's A

Step-by-step explanation:

If not i'm sorry but after reviewing the question i believe it is A

Hope this helps

Answer:

5 days

Step-by-step explanation:

Martina has 15 pounds of flour at her bakery

She uses 1/5 of the flour to make cookies everyday

1/5 × 15

= 3

Hence the number of days used to make the cookies can be calculated as follows

= 15/3

= 5

Answer:

i think someone can figure this out, but if they cant just say somthing like a or f

Step-by-step explanation:

Answer:

2 is the simplified fraction for 8/16. Simplify 8/16 to the simplest form.

Step-by-step explanation:

What is 8/16 Simplified? - 1/2 is the simplified fraction for 8/16. Simplify 8/16 to the simplest form. Online simplify fractions calculator to reduce 8/16 to the lowest terms quickly and easily.

Answer:

0.5 or 1/2

Step-by-step explanation:

nothing can futher be simplified

Answer:

Any point greater Than 0 and less than 180°

Step-by-step explanation:

Obtuse angle measures are angles which measures angles in the range between 0° and 180°. Angles which lies between these range are called obtuse angles. Hence, from the question, if the ray of points measured does not point to 0° or 180°; then, the ray of angle points could have pointed to any angle between greater Than Zero less than 180.

Hence the points could 10 and 120 or any other values which meets the obtuse angle condition.

Answer:

173-degree angle (any angle larger than 90 degrees is obtuse and why are there favorite numbers all of a sudden????)

145-degree angle (there really is no reason to choose 2 certain numbers)

Step-by-step explanation:

any angle larger than 90 degrees is obtuse, so there you go my children.

Answer:

C.   g(x) = 3[tex]x^{2}[/tex]

Step-by-step explanation:

f(1) = 1    and    g(1) = 3    

g(1) is 3 times more than f(1)

So, g(x) = 3[tex]x^{2}[/tex]

Answer:

210.7

Step-by-step explanation:

7x8 (and multiply that by 3 for the 3 sides)

7x6.1 (times 2 for the 2 sides and divided by 2 because it is a triangle)

Answer:

120 cm^2.

Step-by-step explanation:

The area of one triangle = 1/2 * base * height

= 1/2 * 8 * 6

= 1/2 * 48

= 24 cm^2

So area of the pentagon = 5 * 24

= 120 cm^2.

Answer:

Volume fomlua is LxWxH, just multiply the numbers with a calculator:)

-43/204

Step-by-step explanation:

−5/12 × 17/17 + 7/34 × 6/6 =

= −85/204 + 42/204

= −85 + 42/204

= −43/204

Answer: I handdbbdhddhdndnndnddnndjdjdjdjdjdjdjdjdjdjdjdjdjdjdjd

Step-by-step explanation: