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2 years ago

The product of a rational and irrational number is _____ rational

Mathematics

1 answer:

Maksim231197 [3]2 years ago

3 0

Answer:

The product of any rational number and any irrational number will always be an irrational number. This allows us to quickly conclude that 3π is irrationa

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I. Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x2<br> + 1. Compute the following:<br><br> 1. f(g(-1))

aleksandrvk [35]

F(g(-1))
g(-1) = 3(-1) = -3
f(-3) = 2(-3) -1 = -6 -1 = -7

3 0

2 years ago

keith is an independent filmmaker . hes planning to serve pizza and sub sandwiches at his first film debut . the number of sandw

tamaranim1 [39]

Answer:

35 sandwiches

Step-by-step explanation:

62÷2=31

31+4=35

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2 years ago

Can someone help explain this to me?

o-na [289]

Step-by-step explanation:

A. y-5=-4x+4

y=-4x+4+5

y= -4x +9

(0,9)(9/4,0)

8 0

2 years ago

Simplify the following radical <br> Sqrt 126x^13

fenix001 [56]

Answer:

$\large\boxed{\sqrt{126x^{13}}=3x^6\sqrt{14x}}$

Step-by-step explanation:

$Domain:\ x\geq0\\\\\sqrt{126x^{13}}=\sqrt{9\cdot14\cdot x^{12+1}}\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\sqrt{9\cdot14\cdot x^{12}\cdot x^1}=\sqrt{9\cdot14\cdot x^{6\cdot2}\cdot x}\\\\\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{and}\ (a^n)^m=a^{nm}\\\\=\sqrt9\cdot\sqrt{14}\cdot\sqrt{(x^6)^2}\cdot\sqrt{x}\\\\\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=3\cdot\sqrt{14}\cdot x^6\cdot\sqrt{x}=3x^6\sqrt{14x}$

3 0

2 years ago

Suppose f varies directly as g, and f varies inversely as h. Find g when f = 12 and h = 10, if g = 198 when h = –11 and f = –6.

sattari [20]

Answer:

360

Step-by-step explanation:

f varies directly as g

f = kg where k is the constant of variation

f varies inversely as h

f = kg/h

We know g = 198 when h = –11 and f = –6. Substituting in

-6 = k*198/(-11)

-6 =k*(-18)

Dividing each side by -18

-6/-18 = k*-18/-18

1/3 =k

Our equation is

f = 1/3 g/h

Letting f = 12 and h = 10

12 = 1/3 g/10

Multiply each side by 10

12*10 =1/3 g/10*10

120 = 1/3 g

Multiply each side by 3

120*3 =1/3 g *3

360 =g

5 0

2 years ago