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3 years ago

Is 21 3/7 a rational or an irrational number?

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

3 0

Answer:

Rational

Step-by-step explanation:

This number is rational because it can be expressed as a ratio between two numbers.

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Describe the nature of the roots for this equation.<br> 3x^2+x-5= 0

m_a_m_a [10]

Answer:

<h2>This equation has no natural roots.</h2>

Step-by-step explanation:

$3x^2+x-5=0\\\\\text{Use the quadratic formula for}\ ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{For the given equation:}\\\\a=3,\ b=1,\ c=-5\\\\b^2-4ac=1^2-4(3)(-5)=1+60=61\\\\x=\dfrac{-1\pm\sqrt{61}}{(2)(3)}=\dfrac{-1\pm\sqrt{61}}{6}\notin\mathbb{N}$

4 0

3 years ago

Read 2 more answers

Carol's starting pay for her summer job is $10.25 per hour. Carol earns exactly 3 raises this summer.

kvv77 [185]

She starts off with $10.25 and gets a raise of $0.50, so she earns $10.75 per hour. Then she gets a raise of 10%, so then 10.75 x 0.10 = 1.075, so she earns $11.825 per hour. Then her third raise is $0.50 so she earns $12.325 per hour. The raise for next summer is 5%, so 12.325 x 0.05 = 0.61625, so she earns $12.94125.
She will earn about $12.94 per hour starting off next summer.

6 0

3 years ago

Please heeeeeeeeeeeeeeeeeeeeeeeeeelp

hram777 [196]

B) x=2 and y=14 i’m pretty sure lol

5 0

3 years ago

{ y = - 4x-23-4x-3y=13

sleet_krkn [62]

For this case we have the following system of equations:

$y = -4x-23\\-4x-3y = 13$

We solve by the substitution method:

We substitute the first equation in the second equation:

$-4x-3 (-4x-23) = 13$

We apply distributive property considering that $- * - = +:$

$-4x + 12x + 69 = 13\\8x + 69 = 13$

We subtract 69 from both sides of the equation:

$8x = 13-69\\8x = -56$

We divide by 8 on both sides of the equation:

$x = \frac {-56} {8}\\x = -7$

We look for the value of the variable y:

$y = -4 (-7) -23\\y = 28-23\\y = 5$

Thus, the solution of the system is $(x, y): (-7,5)$

Answer:

$(x, y): (-7,5)$

7 0

4 years ago

M+(-9.5)=-7.8 how do you do this problem

krok68 [10]

M + (-9.5) = -7.8

First, simplify your brackets. / Your problem should look like: $m + -9.5 = -7.8$
Second, change addition to subtraction. / Your problem should look like: $m - 9.5 = -7.8$
Third, add 9.5 to both sides. / Your problem should look like: $m = -7.8 + 9.5$
Fourth, simplify. / Your problem should look like: $m = 1.7$

Answer: m = 1.7

3 0

3 years ago

Is 21 3/7 a rational or an irrational number?​

Is 21 3/7 a rational or an irrational number?