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3 years ago

Divide f(x) by d(x), and write a summary statement in the form indicated.

1 answer:

5 0

Hello,
Answer B.

x²+1=(x-i)(x+i)

$x^4+4x^3+x^2+4x+5=(x-i)(x^3+(4+i)x^2+(5+4i)x+5i)\\
=(x-i)(x+i)(x^2+4x+5)=(x^2+1)(x^2+4x+5) \\
by\ synthetic\ division.$

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Darcy ordered 18 boxes of red balloons and 12 boxes of blue balloons for a party.She ordered a total of 240 balloons. How many b

olga2289 [7]

Answer: 8 balloons per box
8x18 + 8x12 = 144+96 = 240

8 0

3 years ago

Explain-Carmen is making homemade root beer for an upcoming charity fundraiser.

NeTakaya

Answer:

1.5lb/ounces

Step-by-step explanation:

Given:

Mass of dry ice Carmen uses = 12lb

Mass of root beet = 8ounces

Unknown:

Ratio/Proportional constant for number of pounds to number of ounces of root beer extract = ?

Solution:

To solve this problem,

Ratio = $\frac{number of pounds of dry ice}{Ounce of root beer}$

Ratio = $\frac{12lb}{8ounces}$ = 1.5lb/ounces

6 0

3 years ago

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

Rzqust [24]

Answer:

a = 6 or 9

Step-by-step explanation:

The "a", "b", and "c" of the quadratic formula are the coefficients of a², a, and the constant term in the given equation:

... a = 2, b = -30, c = 108

Then the quadratic formula tells you the solutions are ...

... (-b ± √(b² -4ac))/(2a)

... = (-(-30) ± √((-30)² -4(2)(108)))/(2(2))

... = (30 ± √(900 -864))/4

... = (30 ± √36)/4

... = (30 ± 6)/4 = {24, 36}/4

... = {6, 9}

_____

The a variable should not be confused with the "a" that is used to name the coefficient of the square of the variable in the quadratic formula. If it is too confusing, rewrite one or the other. For example, you could write ...

... The solution to pa² +qa +r = 0 is ... a = (-q ± √(q²-4pr))/(2p)

where p=2, q=-30, r=108 in the given equation.

5 0

3 years ago

HELP PLEASE 5/12-(x-3)/6≤(x-2)/3 Solve with a step by step solution

zlopas [31]

Answer:x>3 1/6

Step-by-step explanation:

5/12-(x-3)/6 <(x-2)/3

5/12 *12-(x-3)/6*12<(x-2)/6*12

5-2(x-3)<4(x-2)

5-2x+6<4x-8

-2x+11<4x-8

-2x<4x-19

-6x<-19

-6x(-1)<-19(-1)

6x>19

x>19/6

x>3 1/6

just change all the inequality signs to a x is greater or equal to 3 1/6 and on the rest change to and < and equal sign only put > or equal sign on the last three lines

8 0

3 years ago

PLEASE HELP see picture 66 pts LOGARITHMIC

Nostrana [21]

Ln(x) should be the answer

4 0

3 years ago