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olasank [31]
3 years ago
15

Which equation represents a nonlinear function?

Mathematics
1 answer:
djverab [1.8K]3 years ago
5 0

<em>Answer and the Step-by-step explanation : -</em>

<em />

<em><u>1) x(y - 5) = 2</u></em>

<em />

<em>First you gotta open the brackets so then you'll get : -</em>

<em>xy - 5x = 2</em>

<em><u>Answer</u></em><em> : - " since xy is remaining the equation will not linear "</em>

<em />

<em><u>2) y - 2(x + 9) = 0</u></em>

<em><u></u></em>

<em> "y - 2x - 18 = 0 "</em>

<em> "Y = 2x + 18 "</em>

<em />

<em><u>Answer</u></em><em> : - "This is linear"</em>

<em />

<em><u>3) 3y + 6(2 - x) = 5</u></em>

<em />

<em>3y + 12 - 6x = 5</em>

<em />

<em>3y = 5 - 12 + 6x</em>

<em />

<em>3y = 6x - 7</em>

<em />

<em>Y = 2x - 7/3</em>

<em />

<em><u>Answer</u></em><em> : -This is linear </em>

<em />

<u><em>4) 2(y + x) = 0</em></u>

<em />

<em>2y + 2x = 0</em>

<em />

<em>2y = - 2x</em>

<em />

<em>y = - x</em>

<em />

<em><u>Answer</u></em><em> : - " This is linear "</em>

<em />

<em />

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My couch potato friend enjoys sitting in front of the TV and grabbing handfuls of 6 chocolates at random from his snack jar. Unb
Nikolay [14]

Answer:

There are 8008 possible outcomes are there the first time he grabs 6 chocolates

Step-by-step explanation:

The order in which the chocolates are chosen is not important. So the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

How many possible outcomes are there the first time he grabs 6 chocolates?

6 chocolates from a set of 16. So

C_{16,6} = \frac{16!}{6!(16 - 6)!} = 8008

There are 8008 possible outcomes are there the first time he grabs 6 chocolates

7 0
3 years ago
PLZ HELP ASAP DIVIDE LINE SEGMENTS
Yuri [45]
A (4,8)  and   b (7,2)   and   let  c (x,y)

A , B and C are col-linear ⇒⇒⇒ ∴ slope of AB = slope of BC
slope of AB = (2-8)/(7-4) = -2
slope of BC = (y-2)/(x-7)
∴ (y-2)/(x-7) = -2
∴ (y-2) = -2 (x-7)    ⇒⇒⇒ equation (1)

<span>The distance between two points (x₁,y₁),(x₂,y₂) = d
d = \sqrt{ (x2-x1)^{2} + (y2-y1)^{2} }</span>


The ratio of AB : BC = 3:2
AB/BC = 3/2
∴ 2 AB = 3 BC
2 * \sqrt{ (7-4)^{2} + (2-8)^{2} } = <span>3* \sqrt{ (x-7)^{2} +(y-2)^{2} }
eliminating the roots by squaring the two side and simplifying the equation
∴ 4 * 45 = (x-7)² + (y-2)²  ⇒⇒⇒ equation (2)
substitute by (y-2) from equation (1) at </span><span>equation (2)
4 * 45 = 5 (x-7)²
solve for x
∴ x = 9  or  x = 5
∴ y = -2 or  y = 6

The point will be (9,-2)  or   (5,6)
the point (5,6) will be rejected because it is between A and B

So, the point C = (9,-2)

See the attached figure for more explanations
</span>


5 0
2 years ago
QUESTION 1:
Romashka [77]

Q1

I like to use the standard form to write the equation of a perpendicular line, especially when the original equation is in that form. The perpendicular line will have the x- and y-coefficients swapped and one negated (remember this for Question 3). Thus, it will be

... 5x - 2y = 5(6) - 2(16) = -2

Solving for y (to get slope-intercept form), we find

... y = (5/2)x + 1 . . . . . matches selection C

Q2

The given equation has slope -3/6 = -1/2, so that will be the slope of the parallel line. (matches selection A)

Q3

See Q1 for an explanation. The appropriate choice is ...

... B. 4x - 3y = 5

Q4

The given line has slope -2, so you can eliminate all choices except ...

... D. -2x

Q5

The two lines have the same slope (3), but different intercepts, so they are ...

... A. parallel

8 0
3 years ago
Read 2 more answers
From 1990 to 2000, the population of Florida increased by 2.13% per year. The population (in millions) in the year 1990 was 16 E
belka [17]

Answer:

19 million

Step-by-step explanation:

So generally whenever we express a exponential function, it's in the form: y=a(b)^x

where a=initial value aka when x=0

in this case, b can be expressed as: 1+r, where r is the growth rate, which in this case is 2.13%, and expressing that as a decimal (divide by 100), r=0.0213, thus b=1.0213

This gives us the following equation: y=16(1.0213)^x

To kind of give you a intuitive reason as to why this makes sense, think of that 1.0213 wrapping around the previous value.

So when x=0, it's actually just 16, since any number (besides 0) to the power of 0, equals 1.

When x=1, we get: 1.0213(16), which can be expressed as a 2.13% increase from year 0

When x=2, we get: 1.0213(1.0213(16)), which can be expressed as a 2.13% increase from year 1

when x=3, we get: 1.0213(1.0213(1.0213(16))), which can be expressed as a 2.13% increase from year 2.

In other words, each year we're getting another 1.0213 to multiply by (very definition of an exponent).

So to calculate the population in 1997, we put in x=7, since it's 7 years after 1990

We get the following equation: y=16(1.0213)^7

Using a calculator this simplifies to approximately: 18.5436

Rounding this to the nearest integer would yield 19, and since the values are expressed in millions, the answer would be 19 million

4 0
1 year ago
suppose that x and y vary inversely and x=1 when y=12. write a function that models the inverse variation. graph the function an
larisa [96]

Answer:

y=12/x

Step-by-step explanation:

if y=12, and x=1 so

general formula y=12/x

for x=5 , y=12/5=2.4

you can graph by ploting points such as (1,12), (5, 2.4),...

6 0
2 years ago
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