Find the nth term of this quadratic sequence <br> 2, 8, 18, 32, 50,

Jamaal bounces on a trampoline. His height, as a function of time, is modeled by = -16x^2+20x+4.

AlladinOne [14]

Answer:

B. The function is nonlinear.

Step-by-step explanation:

A linear function graphs as a straight line. It is a polynomial function of degree 1. Any function that is not a linear function is a nonlinear function.

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<h3>degree</h3>

The function given is a polynomial function of degree 2. (Its highest-degree term is x^2, which has an exponent of 2.)

<h3>categorization</h3>

Since the degree is not 1, the function is nonlinear.

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<em>Additional comment</em>

A polynomial function will never be "linear at some points and nonlinear at other points." Such a description might apply to a piecewise-defined function.

3 0

3 years ago

A city has a population of 245,600 which is 110% of the population from the previous year. What was the population the previous

MrMuchimi

<h2>Answer:</h2><h2>The city population last year = 2233 approximately</h2>

Step-by-step explanation:

The current population of the city = 245,600

Rate of increase = 110 %

The population in previous year = ?

Let x be the population of previous year

x(110%) = 245600

x = $\frac{245600}{110}$

= 2232.7

The city population last year = 2233 approximately

4 0

3 years ago

Find ln 0.985 using a calculator and round to four decimal places.

uysha [10]

Answer:

-0.1511

Step-by-step explanation:

ln(0.985) is about -0.151136, which, rounded to four decimal places, is -0.1511. Hope this helps!

6 0

3 years ago

Read 2 more answers

Rectangle ABCD is shown with diagonal AC drawn. Point F is on AC and point E on DC such that FE is perpendicular to DC. Prove tr

777dan777 [17]

Triangle ABC is similar to triangle CEF.

<u>Explanation:</u>

<u></u>

Diagram is inserted for the reference.

ABCD is a rectangle.

ABC is a right angled triangle because all the angles of the rectangle are 90◦ - (a)

CEF is a right angled triangle because FE is perpendicular to DC – (b)

In triangles ABC and CEF,

1. Angle ABC = Angle CEF = 90◦ (Both are right angles from a and b)

2. Angle BCA = Angle EFC (Alternate angles on parallel lines are equal on intersection)

Hence using Similarity property of AA (Angle, Angle), Triangle ABC and CEF are similar.

<u></u>

5 0

3 years ago

Y-6=4(x+5) what is y and x intercept?

Law Incorporation [45]

Answer:

x = $(-\frac{13}{2} ,0)$ y = (0,26)

Step-by-step explanation:

First find the x intercept

To find the x intercept, substitute 0 for y and solve for x.

$(0)-6=4(x+5)$

Rewrite the equation as $4(x+5)=(0)-6$

$4(x+5)=(0)-6$

Subtract 6 from 0.

$4(x+5)=-6$

Divide each term in $4(x+5)=-6$ by 4.

$\frac{4(x+5)}{4} =\frac{-6}{4}$

Cancel the common factor of 4.

$x+5=\frac{-6}{4}$

Simplify $\frac{-6}{4}$

$x+5=-\frac{3}{2}$

Subtract 5 from both sides of the equation.

$x=-\frac{3}{2} -5$

To write $-5$ as a fraction with a common denominator, multiply by $\frac{2}{2}$

$x=-\frac{3}{2}-5$ · $\frac{2}{2}$

Combine $-5$ and $\frac{2}{2}$ .

$x=-\frac{3}{2} +\frac{-5*2}{2}$

Combine the numerators over the common denominator.

$x=\frac{-3-5*2}{2}$

Simplify the numerator.

$x=\frac{-13}{2}$

Move the negative in front of the fraction.

$x=-\frac{13}{2}$

x = $(-\frac{13}{2} ,0)$

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Find the y-intercepts.

To find the y-intercept(s), substitute in 0 for x and solve for y.

$y-6=4((0)+5)$

Add 0 and 5.

$y-6=4 *5$

Multiply 4 by 5.

$y-6=20$

Add 6 to both sides of the equation.

$y=20+6$

Add 20 and 6.

$y=26$

y = (0, 26)

7 0

3 years ago

Find the nth term of this quadratic sequence 2, 8, 18, 32, 50,