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3 years ago

Which number produces a rational number when added to 1/4?

Mathematics

2 answers:

AleksandrR [38]3 years ago

8 0

<span>Since 0.25 is a rational number, you need to add another rational number. Any rational number will do.

</span>

Musya8 [376]3 years ago

8 0

Answer:

The answer is option B : 0.44

Step-by-step explanation:

When you add fractions, the answer is always rational.

A rational number is in the form of $\frac{p}{q}$ , where $q\neq 0$ .

We also know ,

Rational number + irrational number = irrational number

Now $\sqrt{6}$ is an irrational number and when we will add it to $\frac{1}{4}$ , it will produce irrational number.

Similarly, $\pi$ and 1.4142135.. will also produce irrational numbers.

So, we have been left with 0.44, which is the answer.

0.44 can be written as $\frac{44}{100}$ or $\frac{22}{50}$ or $\frac{11}{25}$

When we add $\frac{1}{4}$ to any of the fraction, it will always produce a fraction or rational number.

$\frac{1}{4}+\frac{11}{25}$ = $\frac{25+44}{100} =\frac{69}{100}$ which is a rational number.

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Between which two ordered pairs does the graph of f(x) = one-halfx2 + x – 9 cross the negative x-axis?

Anit [1.1K]

Answer:

Step-by-step explanation:

we have that

$f(x) = x^2 + x - 9$

Using a graph tool

see the attached figure

The function represent a vertical parabola that open up

the vertex is a minimum-------> is the point (-0.5, -9.3)

The x-intercepts are the points when the y coordinate is equal to zero

The x-intercepts are the points (-3.5, 0) and (2.5, 0)

the function cross the negative x-axis at point

therefore, the answer is

(-4, 0) and (-3, 0)

6 0

3 years ago

Read 2 more answers

Nivyana and Ana are selling their apparel to earn money for a cruise. Knitted scarves are $50 each in Mittens are $25 per pair.

Katarina [22]

Answer:

The number of knitted scarves is 10

The number of knitted mitten is 20

Step-by-step explanation:

Given as :

The cost of each knitted scarves = $50

The cost of pairs of mittens = $25

Total number of scarves and mitten bought = 30

The total money invested to pay for items = $1000

Let The number of knitted scarves = k

Let The number of mitten = m

<u>Now, According to question</u>

The total money invested to pay for items = cost of each knitted scarves × number of knitted scarves + cost of pairs of mittens × number of mitten

i.e $1000 = $50 × k + $25 × m

Or, 40 = 2 k + m

i.e 2 k + m = 40 ........A

And

Total number of scarves and mitten bought = number of knitted scarves + number of mitten

i.e k + m = 30 ...........B

Now, solving eq A and eq B

So, (2 k + m ) - ( k + m ) = 40 - 30

Or, (2 k - k) + ( m - m) = 10

Or, k + 0 = 10

∴ k = 10

So, The number of knitted scarves = k = 10

Put the value of k into eq B

∵ k + m = 30

So, m = 30 - k

or, m = 30 - 10

∴ m = 20

The number of knitted mitten = m = 20

Hence, The number of knitted scarves is 10 and The number of knitted mitten is 20 . Answer

7 0

3 years ago

Integrate the following. ∫<img src="https://tex.z-dn.net/?f=5x%5E%7B4%7D%20dx" id="TexFormula1" title="5x^{4} dx" alt="5x^{4} dx

Vadim26 [7]

Answer:

$\displaystyle D) {x}^{5} + \rm C$

Step-by-step explanation:

we would like to integrate the following Integral:

$\displaystyle \int 5 {x}^{4} \, dx$

well, to get the constant we can consider the following Integration rule:

$\displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx$

therefore,

$\displaystyle 5\int {x}^{4} \, dx$

recall exponent integration rule:

$\displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1}$

so let,

$n = 4$

Thus integrate:

$\displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)$

simplify addition:

$\displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)$

reduce fraction:

$\displaystyle = {x}^{5}$

finally we of course have to add the constant of integration:

$\displaystyle \boxed{ {x}^{5} + \rm C}$

hence,

our answer is D)

7 0

2 years ago

Read 2 more answers

Can anyone help me please

7nadin3 [17]

Answer:

noqijauaajajajajabbaababbaa

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3 years ago

As of october 28th chris has only paid $50 of the $180 senior dues which is due by december 20th chris had to quit his job becau

valentina_108 [34]

Answer:

Step-by-step explanation:

I believe that the best advice in this scenario would be to fully pay off the senior dues and with the $48.56 that is left pay back as many lost books as possible. This would leave you owing $6.44 for lost books which you can ask Chris can ask his parents or work a small side gig to earn that money. The more important payment to make is the senior dues which have an actual due date unlike the lost books and can actually cause you trouble if not paid on time.

6 0

2 years ago