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Serjik [45]
3 years ago
14

Can some one please tell me the answer to this question

Mathematics
1 answer:
Mama L [17]3 years ago
8 0
Give me more points, and I will ;)
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Below is a proof showing that the sum of a rational number and an irrational number is an irrational number.
ankoles [38]

Answer:

Step-by-step explanation:

To prove: The sum of a rational number and an irrational number is an irrational number.

Proof: Assume that a + b = x and that x is rational.

Then b = x – a = x + (–a).

Now, x + (–a) is rational because addition of  two rational numbers is rational (Additivity property).

However, it was stated that b is an irrational number. This is a contradiction.

Therefore, the assumption that x is rational in the equation a + b = x must be incorrect, and x should be an irrational number.

Hence,  the sum of a rational number and an irrational number is irrational.

4 0
3 years ago
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Mateo puts 6 gallons of gas in his ca and pays $15.<br><br>What is the cost of 1 gallon?
sweet [91]

Answer: 1 gallon costs 0.40 $

Step-by-step explanation: 6 gallons / 15$ = 0.4 gal/$

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3 years ago
Hey guys how do I stop crying my favorite teacher left yesterday for five months for the military he always is by my side and he
NeX [460]

Answer:

Step-by-step explanation:

I understand you hardships your going through. I believe you feel like you've lost your best friend, and I have gone through a similar experience when I was in 7th grade.

What I did was I wrote a journal everyday to let my teachers see my English improving day by day (he was my English teacher), because I wanted him to be proud of my progress once he came back.

This made me motivated to see how much time was left for my to see him coming back! I hope this helps.

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Q2. Do as directed(You can solve on a piece of paper and send picture in assignment) (4)
zepelin [54]

Step-by-step explanation:

true equation when x is replaced by 2, and is a false ... is written in terms of P, R, and T.” In some cases, before using a formula it may be ... (2) a number line graph, or (3) interval notation.

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2 years ago
Suppose it is found that a certain model of car sells y= -1.6(x-2)^2 + 4.8(x-2) + 16 cars per week, where x is the number of sho
Vilka [71]

Answer:

Approximately 4 shops would be the best number of shops which the car is sold, and the number of cars is 20.

Step-by-step explanation:

This is a quadratic function. Therefore, the first thing you need to do is assume some values for x, and then, calculate the value of y, (which would be the number of cars sold). In this way, you can do the graph.

Watch the following attachment, which is a document of excel, showing the graph and some values of x, that I assume

Now, even if you don't have the graph you can estimate the number of shops with the following expression of the summit:

X = -b / 2a

Where:

a: number that goes along with the x elevated.

b: number that goes along with the x, but without being elevated.

In this equation, the first thing we need to do, is rearrange it, that's because we have a (x-2) in the equation, and this could be really annoying.

First let's solve the (x-2)^2

(x-2)^2 = (x-2)(x-2) = x^2 - 2*2x + 2^2 = x^2 - 4x + 4

This is now multiplied by -1.6:

-1.6x^2 + 6.4x - 6.4

Now, multiply 4.8 by x-2:

4.8x - 9.6

Finally, let's arrange this:

-1.6x^2 + 6.4x - 6.4 + 4.8x - 9.6 + 16

-1.6x^2 + 11.2x - 6.4 - 9.6 + 16 = -1.6x^2 + 11.2x

This means that the graph do not have a "y" intercept, and the values of a and b are -1.6 and 11.2, therefore, we can estimate the best number of shops, calculating the summit of the graph (This is because s a quadratic function, and the graph is a parable, and the minimum or maximum point of the graph is reached in the summit)

Summit has X and Y values, the x value is (see formula above):

X = -11.2 / 2 * -1.6 = 3.5

and for the y value, just replace the X value in the equation:

Y = -1.6(3.5)^2 + 11.2(3.5) = -19.6 + 39.2 = 19.6

With this we can conclude that the best number of shops that sells this model of car, is 4 (rounded) and they all sell 20 cars (also rounded). See the graph below in the attachment.

Download xlsx
4 0
3 years ago
Read 2 more answers
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