Write a power that has a value greater than 140 and less than 145.

Answers

Answer 1
Answer:

Answer:

12^(2)

Step-by-step explanation:

To find: a power that has a value greater than 140 and less than 145

Solution:

Take x=12^(2)

Here,

12^(2)=144 and 140<144<145

That is 140<x<145

Therefore,

12^(2) has a value greater than 140 and less than 145.


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What's 27-18r using distributive property

Answers

The simplified form of expression is 9 (3 - 2r).

Used the concept of distributive property,

The distributive property states that an expression that is given in the form of A (B + C) can be solved as A × (B + C) = AB + AC.

Given that the expression is,

27 - 18r

Apply the distributive property on the expression and it can be written as,

27 - 18r

Since LCM {27, 18} = 9

So, take 9 as a common term,

27 - 18r = 9×3 - 9×2r

            = 9 (3 - 2r)

Therefore, the solution of the expression is, 9 (3 - 2r)

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The distributive property: a(b - c) = ab - ac

27 - 18r = 9·3 - 9·2r = 9(3 - 2r)

Which graph shows the end behavior of the graph of f(x) = 2x^6 – 2x^2 – 5?

Answers

For the given function, f(x) = 2x^6 - 2x^2 - 5, as x becomes extremely large in either the positive or negative direction, the function value grows without bound, heading towards positive infinity. This behavior is a characteristic of functions with even degrees and positive leading coefficients.  

Analyzing the end behavior of a function is a valuable tool in understanding how the function behaves as the input, denoted by 'x', approaches positive or negative infinity. In this case, we are given the function f(x) = 2x^6 - 2x^2 - 5 and tasked with determining its end behavior.

Degree of the Function: The degree of a function is the highest power of the variable it contains. In our function, the highest power of the variable 'x' is 6, as it appears in the term 2x^6.

Leading Coefficient: The leading coefficient is the coefficient of the term with the highest power. In our function, the leading coefficient is 2, associated with the term 2x^6.

With these pieces of information, we can deduce the end behavior of the function:

The degree of the function is 6, which is an even degree.

The leading coefficient is 2, and it's positive.

For a function with an even degree and a positive leading coefficient, the end behavior is as follows:

As x approaches positive infinity (+∞), the function value f(x) also approaches positive infinity (+∞).

As x approaches negative infinity (-∞), the function value f(x) also approaches positive infinity (+∞).

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What is the quantity of goods and services that sellers are willing and able to sell known as?

Answers

The answer would be supply

Answer:

C: Supply

Step-by-step explanation:

#PlatoFam !!!!

Which of the following equations is an equation formed when completing the square on y 2 - 12y = -27?(y - 6) 2 = -27
(y - 6) 2 = 9
(y + 6) 2 = 9

Answers

Answer:  The correct option is

(B) (y-6)^2=9.

Step-by-step explanation:  We are given to select the equation that is formed when completing the square on the following equation :

y^2-12y=-27~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be using the following formula :

a^2-2ab+b^2=(a-b)^2.

From equation (i), we have

y^2-12y=-27\n\n\Rightarrow y^2-2* x*6=-27\n\n\Rightarrow y^2-2* x* 6+6^2=-27+6^2\n\n\Rightarrow (y-6)^2=-27+36\n\n\Rightarrow (y-6)^2=9.

Thus, the required equation that is formed is(y-6)^2=9.

Option (B) is CORRECT.

Hello,

You should write y²-12y=-27 or y^2-12y=-27

y²-12y=-27
==>y²-2*6y+6²=-27+36
==>(y-6)²=9
(second answer)

Find the smallest number which must be added to the following numbers so as to make them a perfect square 4931

Answers

Answer:

110.

Step-by-step explanation

4900 = 70^2

71^2 = 5041

5041- 4931 = 110

Answer is 110

Consider a standard deck of 52 playing cards with 4 suits. If A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck, what is the intersection of A and B? (Remember that the black cards are spades and clubs.)

Answers

Answer: Intersection of A and B = 2

Step-by-step explanation:

Total cards = 52

Let A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck.

Total cards having 6 on them = 4

[There are 4 suits of two different colors red and black.]

Total  black playing card =26

Intersection of A and B = Black cards having 6 = 2

hence, Intersection of A and B = 2