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4 years ago

The graph of a function must be linear if it has what characteristic?

Mathematics

2 answers:

mario62 [17]4 years ago

3 0

The graph of a function must be linear if x is not squared in the function

kotykmax [81]4 years ago

3 0

Answer:

Slope of linear graph function will be constant.

Step-by-step explanation:

Linear function graph:The equation of linear graph function is given by

$f(x)=mx+b$

The degree of linear graph function is one.

Differentiate w.r.t x

Then, we get

$y'=m$

Slope of linear function is m.m is constant.

Therefore, if a graph is graph of linear function then it will have constant slope m.

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Four brothers have ages which are consecutive even integers. If the product of the ages of the two middle brothers is 528, how o

exis [7]

Answer:

The oldest brother is of age $26$ years.

Step-by-step explanation:

As the age of four brothers are consecutive even integers.

We assume that the ages are $x,(x+2),(x+4),(x+6)$ as their respective ages.

And the age of the youngest brother $x$ yrs.

Age of the oldest brother $(x+6)$ yrs.

According to the question

Product of two middle brother that is $(x+2)(x+4) =528$

So we will arrange this in our equation and solve the quadratic.

$(x+2)(x+4) =528$

$x^{2}+4(x)+2(x)+8 =528$

$x^{2}+4(x)+2(x)+8-528=0$

$x^{2}+6(x)-520=0$

Solving the quadratic by using middle term splitting or directly with quadratic formula we can find the value of 'x' .

Here it is solved with quadratic formula:

Comparing with standard equation $ax^{2}+b(x)+c=0$ ,here $a=1,b=6\ and\ c=-520$ .

$x= \frac{-b \pm \sqrt{b^2-4ac} }{2a} = \frac{-6 \pm \sqrt{6^2-4\times \ (-520)} }{2\times 1}$

$x=20,-26$

We will work with the positive value of (x) so the the age of the youngest brother $=(x)=20$ yrs.

And the age of the the oldest brother $=(x+6)=(20+6)=26$ years.

The age difference is of $(26-20)=6$ years.

4 0

4 years ago

janet completed 8 math problems in 10 minutes. How long per question did janet spend(in minutes and seconds)?

Dominik [7]

It would take 1.25 minutes to complete each problem because 10 divided by 8 equals 1.25

5 0

3 years ago

Read 2 more answers

Fully condense the expression. Assume that all variables represent positive numbers. (log x -2 log y+ 3 log z) (10 points)

AfilCa [17]

Answer: The required condensed expression is $\log\dfrac{xz^3}{y^2}.$

Step-by-step explanation: We are given to fully condense the following logarithmic expression assuming that all variables represent positive numbers :

$E=\log x-2\log y+3\log z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We will be using the following properties of logarithms :

$(i)~\log a^b=b\log a,\\\\(ii)~\log a+\log b=\log(ab),\\\\(iii)~\log a-\log b=\log\dfrac{a}{b}.$

Therefore, from expression (i), we get

$E\\\\=\log x-2\log y+3\log z\\\\=\log x-\log y^2+\log z^3\\\\=\log(xz^3)-\log y^2\\\\=\log\dfrac{xz^3}{y^2}.$

Thus, the required condensed expression is $\log\dfrac{xz^3}{y^2}.$

5 0

3 years ago

Find negative square root of 16

denpristay [2]

Answer:

-4

-4×-4=16

Step-by-step explanation:

5 0

3 years ago

Ack can someone help

Sergio039 [100]

Answer:

I think the surface area is 382.

7 0

3 years ago