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3 years ago

Real numbers are sometimes rational numbers

Mathematics

1 answer:

9966 [12]3 years ago

8 0

Answer:

False

Step-by-step explanation:

There are no real numbers that are considered rational or irrational numbers. The definition of a real number is that it's a combination of both rational and irrational numbers.

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Pls solve the simultaneous equation in the attachment.

siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

$\frac{x}{2}-\frac{y}{5}=1$ ----> equation A

$y-\frac{x}{3}=8$ ----> equation B

Multiply equation A by 10 both sides to remove the fractions

$5x-2y=10$ ----> equation C

isolate the variable y in equation B

$y=\frac{x}{3}+8$ ----> equation D

we have the system of equations

$5x-2y=10$ ----> equation C

$y=\frac{x}{3}+8$ ----> equation D

Solve the system by substitution

substitute equation D in equation C

$5x-2(\frac{x}{3}+8)=10$

solve for x

$5x-\frac{2x}{3}-16=10$

Multiply by 3 both sides

$15x-2x-48=30$

$15x-2x=48+30$

Combine like terms

$13x=78$

$x=6$

<em>Find the value of y</em>

$y=\frac{x}{3}+8$

$y=\frac{6}{3}+8$

$y=10$

The solution is the ordered pair (6,10)

Part b) we have

$xy=21$ ---> equation A

$x+5y=22$ ----> equation B

isolate the variable x in the equation B

$x=22-5y$ ----> equation C

substitute equation C in equation A

$(22-5y)y=21$

solve for y

$22y-5y^2=21$

$5y^2-22y+21=0$

Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

<em>Find the values of x</em>

For y=1.4

$x=22-5(1.4)=15$

For y=3

$x=22-5(3)=7$

therefore

The solutions are the ordered pairs (7,3) and (15,1.4)

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4 years ago

Find the following F distribution values from Table 4 of Appendix B.

lana [24]

No table?????????????

7 0

3 years ago

Show me how much to shade

Gnoma [55]

If you're talking about inequality graphs, you shade the area where any point in the shaded area can solve the inequality, if I remember correctly. I can't exactly show you how much to shade.

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3 years ago

Please help me please and thank you

Likurg_2 [28]

Answer:

f(x)= x^2 - 2, the one in red.

Step-by-step explanation:

To move a quadratic function up/down, you change the value at the very end of the formula.

So instead of f(x)= x^2 + 1, you would do f(x)= x^2 - 2, to move it down 3. This would be the one in red.

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3 years ago

Evaluate -x + 4y when x =

ale4655 [162]

Answer:

Step-by-step explanation:

-4/5+4(1)/3 = -4/5 + 4/3

L.C.M = 15

then -12+20/15 = 8/15

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3 years ago

Real numbers are sometimes rational numbers​

Real numbers are sometimes rational numbers