Simplify each sum or difference. State any restrictions on the variables.19) (-3x)/(x^2 - 9) + 4/(2x-6)

Answers

Answer 1

Answer: Simplify 4
2x-6

1.1 Pull out like factors :

2x - 6 = 2 • (x - 3)

-3x Simplify ——3 over x2 -9———— x2 - 9

Answer 2

Answer: (-3x)/(x^2 - 9) + 4/(2x-6) = (-3x)/[(x-3)(x+3)] + 4/[2(x-3)] = (-3x)/[(x-3)(x+3)] + 2/(x-3) =
(-3x + 2x + 6)/[(x-3)(x+3)] = (-x+6)/[(x-3)(x+3)];

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Over what invterval is the Graph of the polynomial function f(x)=x^3 -6x^2+3x+10

Answers

Answer:

if 45 do is my she 78

Step-by-step explanation:m 829 -318 =29+87/982

What is the square root of 64

Answers

Positive 8 and negative 8 both are.

the square root of 64 is 8 or -8
because 8²=64 and (-8)²=64

A, B & C lie on a straight line. BD = CD. ∠ BCD = 70° and ∠ BAD = 10°. Work out x

Answers

Answer:

x= 100

Step-by-step explanation:

straight line = 180⁰

180-(70+10)= 100

Create two different situations: one in which you use combinations and one in which you use permutations. Include specific details and an explanation about what makes each situation either a combination or permutation.

Answers

Combination:

Choose two out of three different colors of paints a color

Answer: 3x2/2 = 3 different colors

If the colors are a, b and c, the different combinations are:

ab = ba
ac = ca
bc= cb.

Permutation

Choose two out of three rectangular pieces of fabrics,each of different solid colors, to make flags with horizontal colors.

3x2 = 6.

If the colors are a, b, c the permutations are

ab
ba (they are different because the fabrics are in different positions)

ac
ca

bc
cb

Total: 6 different flags with two colors out of three available.

The first situation is a combination because the order in which you use the colors make no difference. The second one is permutation because the order makes a difference.

Rewrite 163/4 in as many different ways as you can

Answers

There's an infinite number of ways we can rewrite 16 3/4, some of them being:

16 3/4
16 6/8
16 12/16
16 24/32
16.75
67/4
335/20
670/40
etc.

I hope it will help you ;)

$16 (3)/(4) =16.75=16 (12)/(16)$
thats all I can think of.

Can you please factor this equation completely. 5x³-20x²-60x please show all work (its a 5 point question)

Answers

firs we convert into a trinomial squared, then factorize
5x³ - 20x² - 60x
= 5x(x^2 - 4x - 12)
= 5x(x - 6)(x + 2)

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Persons younger than 18 years old are not eligible to vote. Let a be age in years. Which inequality models this situation? A. a < 18 and a may be a negative number B. a < 18 and a must be a positive number C. a > 18 and a may be a negative number D. a > 18 and a must be a positive number

ProblemThe formula for the remaining volume of fuel in a car's tank is I-E\cdot DI−E⋅DI, minus, E, dot, D, where III is the initial volume of fuel, EEE is the fuel efficiency, and DDD is the distance traveled.Carson drove a distance of 120120120 kilometers. He initially had 303030 liters of fuel, and his car's fuel efficiency is 100100100 cubic centimeters per kilometer.What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?

Marlon asks a friend to think of a number from 5 to 11. What is the probability that Marlon’s friend will think of the number 9?

How do I solve this?