Out of 4 cards ( 2 3 4 5), here are the cards greater than 3: 4, and 5. That leaves you with a 2/4 chance of drawing one of them. (2 cards, 4 in total).

Then, picking a 4 out of 4 cards is a 1/4 chance; since that is one card out of 4 total possibilities.

1/4 + 2/4 = 3/4. Or, a 75% chance.

3 0

3 years ago

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Domain of the function f(x)=3x/4x^2-4

yaroslaw [1]

Answer:

the complete question in the attached figure

we have that

f(x)=3x/(4x²-4)

we know that

the denominator can not be zero

(4x²-4)=0

4x²=4

x²=1----> x=(+/-)√1

x1=1

x2=-1

the values of x=1 and x= -1 make the denominator zero, therefore they do not belong to the domain of the function

the answer is

the domain of the function is all real numbers except 1 and -1

8 0

3 years ago

Please could I have some help :)

nirvana33 [79]

Answer:

a) x = 128 degrees

b) Angle APD is the arc angle, which is equal to the central angle x subtended by the arc. Therefore angle APD = 128 degrees (and not 116 degrees)

Step-by-step explanation:

Given:

attached diagram

ABC is a straight line

Solution:

a) Find x

ABC is a straight line

angle ABD = supplement of CBD = 180-CBD = 180-116 = 64 degrees.

x is the central angle of the arc APD

so angle ABD is the inscribed angle which equals half of the arc angle =>

angle ABD = x/2 = 64 degrees

Solve for x

x/2 = 64

x = 2*64

x = 128 degrees

Angle APD is the arc angle, which is equal to the central angle x subtended by the arc. Therefore angle APD = 128 degrees (and not 116 degrees)

5 0

3 years ago

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Three polynomials are factored below, but some coefficients and constants are missing. All of the missing values of a, b, c, and

mariarad [96]

9514 1404 393

Answer:

(a, b, c, d) = (1, -4, 1, -2)
(a, b, c, d) = (1, -4, 1, 2)
(a, b, c, d) = (1, -4, 2, 6)

Step-by-step explanation:

Once you remove the common factor from the terms, you are looking for factors of the remaining constant term that have a sum equal to the coefficient of the linear term. These factors are the constants in the binomial factors.

1. 8 = (-4)(-2) ⇒ x^2 -6x +8 = (x -4)(x -2)

(a, b, c, d) = (1, -4, 1, -2)

2. -8 = (-4)(+2) ⇒ 3x^3 -6x^2 -24x = 3x(x -4)(x +2)

(a, b, c, d) = (1, -4, 1, 2)

3. -12 = (-4)(3) ⇒ 2x^2 -2x -24 = 2(x -4)(x +3) = (x -4)(2x +6)

(a, b, c, d) = (1, -4, 2, 6) or (2, -8, 1, 3)

3 0

3 years ago