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3 years ago

HELP PLS I FORGOT LOL TYSM!

Mathematics

1 answer:

Valentin [98]3 years ago

4 0

Answer:

A. The coefficients of the sum are whole numbers and the sum is a polynomial.

Step-by-step explanation:

The approach to demonstrate the closure property for the sum consists in defining what a polynomial is and demonstrate that the sum of two polynomials with integer coefficients is equal to a polynomial with integer coefficients. We proceed to show the proof below:

1) $5\cdot m -3$ , $2\cdot m + 4$ Given

2) $(5\cdot m -3)+(2\cdot m +4)$ Definition of addition

3) $(5\cdot m +2\cdot m ) +[(-3)+4]$ Definition of substraction/Associative and Commutative properties

4) $(5+2)\cdot m +1$ Distributive property/Definition of substraction

5) $7\cdot m +1$ Definition of addition/Result

Hence, the coefficients of the sum are whole numbers and the sum is a polynomial. The correct answer is A.

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The height h of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the funct

Vika [28.1K]

Answer:

D) h(3)-h(0)/3

Step-by-step explanation:

The average rate of change is found by subtracting the output values (finding the amount of change in the output values) and dividing it by the change in the input values.

The height in the 3rd second would be given by h(3). The original height would be given by h(0). The change in output values would be given by h(3)-h(0).

The change in input values is found by subtracting the two input values, in this case 3 and 0; 3-0 = 3.

This gives us

h(3)-h(0)/3

6 0

3 years ago

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We need a rock garden with a perimeter of 12 feet and an area of 8 square feet

xz_007 [3.2K]

Answer:

width 4

length 2

and it goes the other way aswell

Step-by-step explanation:

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3 years ago

Alicia wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 14 inches by 11 inches

kati45 [8]

Answer:

Since the footrest measures 1.54 square yards, Alice will not be able to cover it completely.

Step-by-step explanation:

Since Alicia wants to cover a footrest in the shape of a rectangular prism with cotton fabric, and the footrest is 14 inches by 11 inches by 13 inches while she has 1 square yard of fabric, to determine if she can she completly cover the footrest the following calculation must be performed:

1 square yard = 1296 square inches

14 x 11 x 13 = X

154 x 13 = X

2.002 = X

2.002 / 1.296 = 1.54

Thus, since the footrest measures 1.54 square yards, Alice will not be able to cover it completely.

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3 years ago

A polygon is regular if each of its sides has the same length. Find the perimeter of the regular polygon.

OleMash [197]

Answer: 6units

Step-by-step explanation:

Since it is a regular polygon, and it has 3 equal sides it means the polygon is a quadrilateral.

From the diagram,

5 - 2x = -4x + 9 ( side of quadrilateral )

Solving for x in the equation

-2x + 4x = 9 - 5 ( collection of like terms in simple linear equation )

2x = 4

Divide through by the coefficient of x which is 2

x = 2.

Therefore, the perimeter of the polygon which equals to the total length of the polygon is

Perimeter = 2 + 2 + 2

= 6units

7 0

3 years ago

Given the vector equation ????(t)=(4−3t)????+(−5+t)????+(3−t)????, rewrite this in terms of the parametric equations for the lin

Anit [1.1K]

Answer:

The parametric equations for the line.x(t)=

y(t)=

z(t)=

$\= r (t) = \left \{ {{x(t)= 4-3t} \atop {y(t)= -5+t}} \atop {z(t)=3-t}} \right \}$

Step-by-step explanation:

From the question we are told that

the given equation is

$\= r(t) = (4-3t) + (-5 + t) + (3-t)$

This given equation can be represented as

$\= r (t) = [4 -3t , -5+t,3-t]$

Generally this equation can be represented in terms of the parametric equations as follows

$\= r (t) = \left \{ {{x(t)= 4-3t} \atop {y(t)= -5+t}} \atop {z(t)=3-t}} \right \}$

This above equation is obtained by assigning each component of r(t) to each line

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3 years ago