What is the possible degree of a polynomial if it has a root of -3 with multiplicity of 2 and, a root of 4 with a multiplicity of 1?

Explanation:

(I). 5/6 (4X+8) = (3/8) X - (1/4)

→ [{5(4X) + 5(8)}/6] = (3/8)X - (1/4)

→ [{20X + 40}/6] = (3/8)X - (1/4)

→ [{(20X/6) + (40/6) = (3/7)X - (1/4)

Now,

shift all variables fraction on LHS and constant fraction on RHS.

→ [(20X/6) - (3X/7)]= -(1/4) - (40/6)

Take the LCM of LHS denominator of 6&7 is 42.

→ [(140X - 18X)/42] = -(1/4)-(40/6)

→ [(122X)/42] = -(1/4)-(40/6)

Again take the LCM of the denominator in RHS i.e 4&6 is 12.

→ [(122X)/42] = (-12 - 80)/4

→ [(122X)/42] = (-92)/4

By doing Cross multiply the fraction, we get

→ 4(122X) = 42(-92)

→ 488X = -3 864

→ X = -3 864÷488

Therefore, X = -3864/488

Answer: Hence, the value of X for the given problem is -3864:488.

Explanation:

ii)Given algebraic equation is: 5(3p-5)+4p=5p-6(p+4)

→ 15p - 25 + 4p = 5p - 6p + 24

Shift all variables in LHS and constant on RHS.

→ 15p + 4p +6p = 25+24

→ 19p + 6p = 49

→ 25p = 49

Shift the number 25 from LHS to RHS.

Therefore, p = 49/25.

Answer: Hence, the value of P for the given algebraic equation is 49/25.

Answer:

k < 3  should do it

Step-by-step explanation:

Answer:

1.375 decimal to fraction.

2/7 Fraction to Decimal

Step-by-step explanation:

Answer: $2.67

Step-by-step explanation:

$8.90 - $6.23 = $2.67

Brainliest? Im just trying to get to a higher rank

Answer: 12° can be a possible angle of rotational symmetry

Answer:

2p/q

2q/p

q/p=2

p/q =2

Step-by-step explanation:

Here are some possible answers. The way your statement is formated in does not ask a question nor does it provide enough information for one to deduce what the question was.

Answer:

2 dashes to the left

Step-by-step explanation:

just plot a point two dashes to the left

Answer:

120

Step-by-step explanation:

5x6 = 30

30x4= 120

Answer:

i guess it's will be C

Step-by-step explanation:

Answer:

Step-by-step explanation:

tanθ = opp/adj

θ = arctan(1.5 / 4)

θ  = 20.55604521958346...

θ = 20.6°

Answer

20.56

Step-by-step explanation:

tan∅=opposite/adjacent

=1.5÷4

=0.375

then to get ∅ find the tan inverse of 0.375 you'll get 20.55604...

put it in two decimal point...20.56°

Answer:

Every eight weeks, James skis 64 miles and swims 96 miles.

Step-by-step explanation:

12×8=96

8×8=64

Answer: (2,4)

Step-by-step explanation:

Vertex

|0-2| = 0

|-2| = 0

The graph is shifted 4 units up so therefore (2,4) is the vertex

Answer:

i haven't done this in years but i'm pretty sure -19 meters

Step-by-step explanation:

193/42

Answer:

The answer is b

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 1/2

Problem 1

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Explanation:

The first task is to determine the function for f(x). Because it's linear, it's in the form y = mx+b. Let's find the slope m.

Select any two columns to pick out (x,y) points from the f(x) function. I'll pick the first two columns to select the points (-6,15) and (-4,11). Apply the slope formula to these two points to get...

m = (y2-y1)/(x2-x1)

m = (11-15)/(-4-(-6))

m = (11-15)/(-4+6)

m = -4/2

m = -2

Then use this m value along with any of the points of the table to determine the y intercept b. I'll use the point (-6,15)

y = mx+b

b = y-mx

b = 15-(-2)*(-6)

b = 15-12

b = 3

The y = mx+b equation becomes y = -2x+3 and that leads directly to the function f(x) = -2x+3.

Repeat all of those steps but do so for g(x) this time. I'll skip those steps over but you should get the function g(x) = 5x-6.

The y intercepts of f(x) and g(x) found were 3 and -6 respectively. Subtract those values to find the y intercept of h(x) = (f-g)(x) = f(x)-g(x).

So we get 3-(-6) = 3+6 = 9 which leads to the location (0, 9).

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Problem 2

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

Explanation:

Through trial and error, the factor by grouping method, or using your graphing calculator, factor the denominator to get

g(x) = x^3+2x^2-x-2 = (x+2)(x+1)(x-1)

The factors (x+2), (x+1) and (x-1) lead to the roots of x = -2, x = -1, and x = 1 in that order. Those three roots of g(x) will make g(x) = 0 and cause a division by zero error in the denominator. So we must kick out those three values from the domain. Every other real number is allowed in the domain. So that's how we get the notation for choice A. It starts off saying x is a real number. Then it goes onto say that -2, -1 and 1 aren't allowed.

So overall the domain is described as: "x can be almost any real number except x cannot be -2, cannot be -1, and it cannot be 1".

Side note: We don't involve the numerator function at all.

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Problem 3

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

Explanation:

The height is x, which we can factor out like this

2x^3-5x^2-3x

2x^2*x - 5x*x - 3*x

x(2x^2-5x-3)

Effectively you would use the distribution rule in reverse.

Now let's factor the remaining expression in the parenthesis.

I'll use the factor by grouping method.

2x^2-5x-3

2x^2-6x+1x-3

(2x^2-6x) + (1x-3)

2x(x-3) + 1(x-3)

(2x+1)(x-3)

Therefore, the full factorization is

x(2x+1)(x-3)

which shows we have the dimensions of x, (2x+1) and (x-3). The order doesn't matter so we could easily have (2x+1) the length and (x-3) the width, or we could have it the other way around.

You can verify that (2x+1)(x-3) expands out to 2x^2-5x-3 using either the FOIL method or the box method.

Answer:

Step-by-step explanation:

Look at the picture.

(x, y)

left 1 unit: (5 - 1 = 4)

up 1 unit: (0 + 1 = 1)

Answer:

c:(-2)-(-10)

Step-by-step explanation:

When two minus symbols are next to each other in an expression, they become a plus sign.

a: 10-(-2)

   10+2

     12

b: (-10)-(-2)

     -10+2

        -8

c: (-2)-(-10)

     -2+10

        8

d: (-2)-10

      -12

C.

-2 - -10= 8

The negative stays the same. The two dashes in between 2 and 10 become pluses.

10 - 2 = 8

The bigger number positive or negative is the dominant passing down their + or - to the value.

Answer:

13

Step-by-step explanation:

add 3/4 and 3/4 to get 6/4 then get 1/2 times the bottom and the top but 2 to get 2/4 so then do 6/4 - 2/4 to get 4/4 or 1

add 10,8 to get 18 then subtract 6 to get 12 then all the 1 and you get your answer. Hope this helped

Answer:

13

Step-by-step explanation:

Convert 10 3/4

to an improper fraction.

43/4 + 8 3/4 − 6 1/2

Convert 8 3/4

to an improper fraction.

43/4 + 35/4 − 6 1/2

Convert 6 1/2

to an improper fraction.

434 + 354 − 132

Combine fractions.

78/4 + −13/2

Simplify each term.

39/2 − 13/2

Combine fractions.

13

Answer:

x=3/2 Espero que esto te ayude

Answer:

x=3/2

hope this helps mate

Answer:

Factors of 20 and 10: P ∪ Q

Factors of 20 but not 10: U ∩ (P ∪ Q)c

Neither factors of 20 or 10: (P ∪ Q)c

Answer: mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

Please Like!

Answer:

b part 20 t or i think c part 2t +6

Answer:

2.5 feet for each bow

Step-by-step explanation:

15/6= 2.5

Answer:

49

Step-by-step explanation:

3x + 34

x = 5

3 * 5 + 34

15 + 34

49

Answer:

(2,2)

Step-by-step explanation:

The solution to a system is the point on the graph where both lines intersect.