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3 years ago

How many solutions does the system have?

Mathematics

1 answer:

Mrac [35]3 years ago

3 0

Answer:

A Exactly one solution

Step-by-step explanation:

$\left \{ {{6x-3y=9} \atop {6x+y=9}} \right.\\\\\left \{ {{6x-3y=9} \atop {-6x-y=-9}} \right\\\\Then, \\\\-4y=0\\\\\\ y=0\\\\$

Putting y=0 at second equation, we have

$-6x=-9\\\\x=\frac{9}{6} =\frac{3}{2}$

The unique solution is $(\frac{3}{2} , 0)$

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In July 2005, the internet was linked by a global network of about 353 million host computers. The number of host computers has

aalyn [17]

Answer:

$N(t) = 37.1(1.38)^t$

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

$N(t) = N(0)(1+r)^t$

In which N(0) is the initial value and r is the rate of change, as a decimal.

37.1 million in July 1998

This means that $N(0) = 37.1$

$N(t) = 37.1(1+r)^t$

In July 2005, the internet was linked by a global network of about 353 million host computers.

This is 2005 - 1998 = 7 years, so $N(7) = 353$ . We use this to find r.

$N(t) = 37.1(1+r)^t$

$353 = 37.1(1+r)^7$

$(1+r)^7 = \frac{353}{37.1}$

$\sqrt[7]{(1+r)^7} = \sqrt[7]{\frac{353}{37.1}}$

$1 + r = (\frac{353}{37.1})^{\frac{1}{7}}$

$1 + r = 1.38$

The formula is:

$N(t) = 37.1(1.38)^t$

5 0

3 years ago

NEED HELP on this one ASAP

Rudiy27

Answer:

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4 years ago

If UV ≅ UX and WX=23, what is VW?<br><br> VW =

Bumek [7]

Answer:

z = 3

Step-by-step explanation:

Δ UWV and Δ UWX are similar triangles , thus corresponding angles are congruent , that is

∠ UWV = ∠ UWX , substitute values

9z - 24 = z ( subtract z from both sides )

8z - 24 = 0 ( add 24 to both sides )

8z = 24 ( divide both sides by 8 )

z = 3

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3 years ago

Four new students have to be assigned a tutor. there are seven possible tutors and none of them will accept more than one studen

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28 tutoring assignments can be done

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3 years ago

What is the value of x, round to the nearest degree?

Nutka1998 [239]

Answer:

The value of x is

44.415308597193,

44 rounded.

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4 years ago