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3 years ago

Below is a proof showing that the sum of a rational number and an irrational number is an irrational number.

Mathematics

2 answers:

amid [387]3 years ago

6 0

Answer:

Step-by-step explanation:

x+(-a) is rational because it is the sum of two rational numbers. You can see them as fractions, if x and -a are rational numbers they can be represented by fractions and the sum of two fractions is a fraction, that is a rational number.

sp2606 [1]3 years ago

4 0

<span>B. it is the sum of two irrational numbers.</span>

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The sales tax in your city is 8.8%, and an item costs $63.50. How much tax would you pay on that item?

Lilit [14]

Step-by-step explanation:

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2 years ago

Any help with this greatly appreciated.

Anestetic [448]

Put the equation in standard linear form.

$x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}$

Find the integrating factor.

$\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5$

Multiply both sides by $\mu$ .

$(t+5) x'(t) + x(t) = 5(t+5)e^{5t}$

Now the left side the derivative of a product,

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Integrate both sides.

$(t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt$

On the right side, integrate by parts.

$(t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C$

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$\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}$

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2 years ago

Calculate the midpoint of the line segments joining the two points (-8, -7) and (4,9)

dmitriy555 [2]

Answer:

Step-by-step explanation:

To calculate the midpoint, you need to plug in the values of x and y into the midpoint formula.

M ( x1 + x2/2 , y1 + y2/2)

M [ -8 + 4/2 , -7 + 9/2]

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3 years ago

zubka84 [21]

Answer:

B: $2.50

Step-by-step explanation:

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3 years ago

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strojnjashka [21]

Answer: She makes $550

Step-by-step explanation:

This is because to find the answer you do 10000t imes 5.5%

And 5.5% is 0.055

So you do 10000 times 0.055

Which is 550

7 0

4 years ago

Read 2 more answers