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3 years ago

Can someone help with this math question please

Mathematics

1 answer:

hoa [83]3 years ago

5 0

The only point in the solution space is that of selection ...
C (1, 3)

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Kathy wants to paint the faces of her standard six-sided die so that each face is either red or blue. However, she does not want

Wittaler [7]

Answer:

The number of ways Kathy can paint her die is 52 ways

Step-by-step explanation:

The permutation and combination related question is answered as follows;

The number of faces in the six-sided die = 6

The number of colors available for painting the six-sided die = 2 colors

Therefore, we have, the total number of ways Kathy can paint her die, 'n', given as follows;

n = ₆P₂ + 2₄P₄ + 2₄P₃ + ₄P₂

Where;

₆P₂ = The number of ways of arranging 2 objects in 6 spaces = 30

₄P₄ = The number of ways of arranging 4 objects in 4 spaces = 1

₄P₃ = The number of ways of arranging 3 objects in 4 spaces = 4

₄P₂ = The number of ways of arranging 2 objects in 4 spaces = 12

∴ n = 30 + 2×1 + 2×4 + 12 = 52

The number of ways Kathy can paint her die, n = 52 ways.

6 0

3 years ago

State the horizontal asymptote of the rational function. For full credit, explain the reasoning you used to find the horizontal

Rzqust [24]

So here are the rules of horizontal asymptotes:

Degree of Numerator > Degree of Denominator: No horizontal asymptote
Degree of Numerator = Degree of Denominator: $y=\frac{\textsf{leading coefficient of numerator}}{\textsf{leading coefficient of denominator}}$
Degree of Numerator < Degree of Denominator: y = 0

Looking at the rational function, since the degree of the numerator is 2 and the degree of the denominator is 1 (and 2 > 1), this means that this function has no horizontal asymptote.

5 0

3 years ago

Solve this system of equations -2x+5y+4z=-4 -5x-y+z=-1 2y+2z=-4

Shalnov [3]

Answer:

x = -1, y = 2 and z = -4.

Step-by-step explanation:

-2x + 5y + 4z = -4 ......(A)

-5x - y + z = -1 .............(B)

2y + 2z = -4..................(C) Multiply (A) by 5 and (B) by -2:

-10x + 25y + 20z = -20 ....(D)

10x + 2y - 2z = 2 ..............(E) Adding D + E:

27y + 18z = -18 Dividing by 9:

3y + 2z = -2 ............(F) Subtract: (C) - (F):

-y = -2

y = 2.

Substitute for y is (C):

4 + 2z = -4

2z = -8

z = -4.

Substitute for y and z in (A):

-2x + 5(2) + 4(-4) = -4

-2x = -10 + 16 - 4 = 2

x = -1.

3 0

4 years ago

-4(2x-3) + 4x = 9x -4x +8 -4 answer this

shtirl [24]

Answer:

x = 8/9

Step-by-step explanation:

-4(2x-3) + 4x = 9x -4x +8 -4

2x*(-4) -3*(-4) + 4x = 9x - 4x + 8 - 4

-8x + 12 + 4x = 9x - 4x + 8 - 4 {Combine like terms}

-4x + 12 = 5x + 4

12 = 5x + 4x + 4

12 = 9x + 4

12- 4 = 9x

9x = 8

x = 8/9

5 0

3 years ago

What maths is used in locating a falling aircraft on the radar?

kvasek [131]

Answer:

I believe its Calculus

Step-by-step explanation:

6 0

3 years ago