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3 years ago

20 POINTS!!!

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

3 0

Answer:

not proportional

Step-by-step explanation:

If it is proportional y/x = constant

y/x = 5/2 = 2.5

6/3 = 2

These are not the same so it is not proportional

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What is the sum or difference?

dlinn [17]

1. Ans: Option (B) $-6x^4$

Explanation:
Given: $2x^4 - 8x^4$
Take the common out:
=> $x^4(2 - 8)$

Hence: => $[tex]-6x^4$ [/tex] (Option B)

2. Ans: Option (D) $-3y^5$

Explanation:
Given: $6y^5 - 9y^5$
Take the common term(s) out:
=> $y^5(6-9)$

Hence: => $-3y^5$ (Option D)

3. Ans: Option (B) $9x^2 - 12x + 6$ quadratic trinomial

Explanation:
Given: $6 - 12x + 13x^2 - 4x^2$

The standard form of polynomial function must have the highest powered value at the start, then the second highest and so on.

=> $13x^2 - 4x^2 - 12x + 6$
=> $9x^2 - 12x + 6$ (Option B)

4. Ans: Option (C) $7.3x^2 + 0.8x + 1.3$

Explanation:
In order to find the total number of Common and Endler's guppies, you need to add both Common and Endler's guppies' polynomials, as follows:

Common guppies: $3.1x^2 +6.0x + 0.3$ 
Endler's guppies: $4.2x^2 - 5.2x + 1.0$
(add both)
-----------------------------------------------------------------
Total number: $7.3x^2 +0.8x + 1.3$
-----------------------------------------------------------------
Hence the ans is Option(C) $7.3x^2 + 0.8x + 1.3$

5. Ans: Option (D) $2x^2(133 - 18 \pi )$

Explanation:
First let's find the total area of the yard:
Total Area of the Yard = 14x * 19x = $266x^2$

Now the area of the circular fountain:
Area of the Circular Fountain = $\pi r^2$
Since, r=6x
Therefore,
Area of the Circular Fountain = $\pi (6x)^2 = 36 \pi x^2$

Now the final Area of the yard would be:
Final area of the Yard = Total Area of the Yard - Area of the Circular Fountain
Final area of the Yard = $266x^2$ - $36 \pi x^2$
=> Final area of the Yard = $2x^2(133 - 18 \pi)$ (Option D)

6. Ans: Option (A) $56x^2$

Explanation:
First let's find the total area of the lot:
Total Area of the lot= 6x * 10x = $60x^2$

Now the area of the stadium:
Area of the stadium = 1x * 4x = $4x^2$

Now the final Area of the lot would be:
Final area of the lot= Total Area of the lot - Area of the stadium
Final area of the lot= $60x^2$ - $4x^2$
=> Final area of the lot = $56x^2$ (Option A)

-i

4 0

3 years ago

Read 2 more answers

Solve for x. 5x^2 – 45 = 0

mamaluj [8]

5x^2-45=0

*Add 45 to both sides*

5x^2=45

*Divide both sides by 5*

x^2=9

*Take the square root of both sides*

x=+/-9

Hope this helps!!

3 0

3 years ago

Read 2 more answers

2 X. - 144 (Type your answer in factor

tresset_1 [31]

Answer:

(x+12) (x-12)

Step-by-step explanation:

12x12=144

6 0

3 years ago

Identify the property shown by the equation.

IceJOKER [234]

7 + (5 + 8) = (7 + 5) + 8 is showing associative property as it is in the form a + (b + c) = (a + b) + c.

Given: To identify the property for the following:

7 + (5 + 8) = (7 + 5) + 8

What are the different types of properties?

1. Commutative Property: Given two numbers a and b, then

a + b = b + a where a, b are some real numbers.

Note: It is commutative on the binary operator of addition (+).

2. Associative Property: Given three numbers a, b and c, then

(a + b) + c = a + (b + c) where a, b and c are some real numbers

Note: It is associative on the binary operator of addition (+).

3. Identity Property: Given some real number a. Then there exist some number (say for instance 1) within the real domain such that a × 1 = a.

For this demonstration above 1 is the identity element.

4. Distributive Property: Given three numbers a, b and c, then

a × (b + c) = a × b + a × c, where a, b and c are some real numbers.

Note: It is distribute over the binary operator of addition (+) and multiplication (×)

So, for the given question: 7 + (5 + 8) = (7 + 5) + 8, it is in the form of

a + (b + c) = (a + b) + c, which shows the associative property over the binary operator of addition.

Hence 7 + (5 + 8) = (7 + 5) + 8 is associative.

Know more about "properties of equation" here: brainly.com/question/5637942

#SPJ9

5 0

1 year ago

Which of the following sets represents the range of the function shown?{(–3, 4), (5, 11), (9, –1), (10, 13)}

Leni [432]

Range is all the y values in this case that would be...

{-1, 4, 11, 13}

Keep in mind that there are different ways to show range. The one I showed it just one of them

Hope this helped!

~Just a girl in love with Shawn Mendes

7 0

3 years ago

Read 2 more answers