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Gnoma [55]
3 years ago
14

Will the point (2,6) be on the graph of y=3x

Mathematics
2 answers:
Olegator [25]3 years ago
4 0

Answer:

Yes, the point (2,6) is on the graph of y=3x

Step-by-step explanation:

y = 3x

For the order pair (2,6)

substitute with x = 2 at the given function.

3x = 3 * 2 = 6

So, the point (2,6) on the graph of y=3x

Also, see the attached figure.

Gre4nikov [31]3 years ago
3 0

Answer:

There will be on point in the graph

Step-by-step explanation:

when x=2

and y=3x

put x=2 into the equation

y=6

when y=6

and y=3x

put y=6 into the equation

x=2

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The population of a community, p(x), is modeled by this exponential function, where x represents the number of years since the p
NeX [460]

An exponential model is used to represent growth of a population

The population after 3 years is 2585

The function is given as:

\mathbf{P(x) = 2400(1.025)^x}

<em>3 years after</em>, means that x = 3

So, we have:

\mathbf{P(3) = 2400(1.025)^3}

Evaluate exponents

\mathbf{P(3) = 2400 \times 1.076890625}

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Approximate

\mathbf{P(3) = 2585}

Hence, the population after 3 years is 2585

Read more about population growth at:

brainly.com/question/3160736

5 0
2 years ago
Find the x-intercepts of the parabola with vertex (5,-4) and y-intercept (0,96). Write your answer in this form: (x1,y1),(x2,y2)
lesya692 [45]

Answer:

The x-intercepts are

(x1,y1)=(4,0)

(x2,y2)=(6,0)

Step-by-step explanation:

we know that

The equation of the given parabola is

(y-k)=a(x-h)^{2}

we have

the vertex is the point (5,-4)

substitute

(y+4)=a(x-5)^{2}

The y-intercept is the point (0,96)

substitute and solve for a

(96+4)=a(0-5)^{2}

100=a(25)

a=100/25=4

The equation of the vertical parabola is equal to

(y+4)=4(x-5)^{2}

Find the x-intercepts

Remember that

The x-intercepts are the values of x when the value of y is equal to zero

For y=0

4=4(x-5)^{2}

Simplify

1=(x-5)^{2}

Rewrite

(x-5)^{2}=1

square root both sides

(x-5)=(+/-)1

x=(+/-)1+5

x=(+)1+5=6

x=(-)1+5=4

therefore

The x-intercepts are

(x1,y1)=(4,0)

(x2,y2)=(6,0)

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