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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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I NEED HELP!!!!!!!!!!!!!!!!!!!!!!

s344n2d4d5 [400]

Step-by-step explanation:

m<1= 62°

m<1=90°

180-70-65=45

m<1= 45°

180-90-30=60

m<1= 60°

3 0

3 years ago

Find the inverse of the function f(x) = x3 + 5

user100 [1]

Answer:

Step-by-step explanation:

$f(x) = {x}^{3} + 5$

To find the inverse of f (x) , equate f(x) to y

That's

y = f(x)

$y = {x}^{3} + 5$

<u>Next interchange the terms</u>

That's x becomes y and y becomes x

$x = {y}^{3} + 5$

<u>Next solve for y</u>

<u>Send 5 to the other side of the equation</u>

${y}^{3} = x - 5$

Find the cube root of both sides to make y stand alone

That's

$\sqrt[3]{ {y}^{3} } = \sqrt[3]{x - 5}$

$y = \sqrt[3]{x - 5}$

We have the final answer as

${f}^{ - 1} (x) = \sqrt[3]{x - 5}$

Hope this helps you

8 0

3 years ago

Which of the following represents the graph of f(x) = 3x2 - 12 ?

xxMikexx [17]

F(x) = 3x² - 12

Finding where the graph crosses the axes will help us to determine the correct graph

When x = 0,
f(0) = 3(0)² - 12
f(0) = -12

So we have one point (0, -12)

When y = 0
0 = 3x² - 12
12 = 3x²
4 = x²
√4 = x
x = ⁺/₋ 2

So the graph crosses the x-axis at -2 and 2 and the y-axis at -12

The correct graph is option A

8 0

3 years ago

Mean mode median range please help me

Anit [1.1K]

Answer:

Mean = 44.

Mean is the average.

Add all numbers:

(43 × 3) + (44 × 5) + (45 × 2) + 46

(129) + (220) + (90) + 46

= 485

Divide by number of points:

485 ÷ 11 = 44.090909 (09 repeating)

Round to 44.

Median = 44

Median is the middle-most number.

Line all the values up:

43, 43, 43, 44, 44, 44, 44, 44, 45, 45, 46

'Cross' numbers off from each side until you reach the middle- 44.

Mode = 44

Mode is the number that appears most often. 43 appears three times, 44 appears five, 45 appears twice, and 46 appears once. Five was the greatest reoccurrence. Therefore, 44 is the mode.

Range = 3

Range is the distance between the smallest value and the largest value.

Smallest number: 43

Largest number: 46

46 - 43 = 3

7 0

3 years ago

Which expression can be used to find the surface area of the following square pyramid?

telo118 [61]

Answer:

Step-by-step explanation:

The slant height of one side of this pyramid is 5, and the base of this side is 4. Thus, the area of one slant side is (1/2)(5)(4) = 10 units^2.

There are 4 such sides. Thus, the total slant surface area is 4(10 units^2), or 40 units^2.

If you also want to include the base area, the total would be

40 units^2 + 16 units^2 = 56 units^2.

8 0

3 years ago