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3 years ago

Solve using the Quadratic Formula.

Mathematics

1 answer:

sveticcg [70]3 years ago

4 0

A) x=5+/-73 is the answer I think

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Suppose y = 48 + 3(2n - 1) is an explicit representation of an arithmetic sequence for integer values n ≥ 1. Find the xth partia

omeli [17]

$a_n=48+3(2n-1)$

The formula of the sum of the arithmetic sequence:
$S_n=\dfrac{a_1+a__n}{2}\cdot n$
calculate:
$a_1=48+3(2\cdot1-1)=48+3=51$
substitute
$S_n=\dfrac{51+48+3(2n-1)}{2}\cdot n=\dfrac{99+6n-3}{2}\cdot n=\dfrac{96+6n}{2}\cdot n=3n^2+48n$
Your answer is:
$\boxed{f(x)=3x^2+48x}$

5 0

3 years ago

Read 2 more answers

I need help with finding the circumference of a circle.

lozanna [386]

Answer:

circumference of circle = 2×radius of a circle.

hope it helps.

stay safe healthy and happy.

5 0

2 years ago

Read 2 more answers

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function

Aloiza [94]

The ball's maximum height is 30.25 feet.

<h3>What is quadratic equation?</h3>

A quadratic equation in math is a second-degree equation of the form ax² + bx + c = 0. Here a, b, are the coefficients, c is the constant term, and x is the variable.

Given:

h= -16t²+36t+10

Differentiate w.r.t. 't',

h' = -32t+36

When h=0, that will be the maximum height

32t= 36

t= 9/8

t= 1.125 sec.

So, The maximum height is

h(1.123)= -16(1.125)² + 36*1.125+10

h(1.125) = 30.25 feet.

Learn more about this concept here:

brainly.com/question/10335037

#SPJ1

5 0

1 year ago

Which of the following is a solution of x2 + 2x + 8?

zubka84 [21]

Using the quadratic equation we get:
$\frac{ - 2 + - \sqrt{4 - 32} }{2} = \frac{ - 2 + - \sqrt{ - 28} }{2}$

Factoring out 2 we get
$\frac{ - 2 + - 2\sqrt{ - 7} }{2} = - 1( + - ) \sqrt{ - 7}$
Factoring out the imaginary number:
$- 1 + \sqrt{7} i \: (and) \: - 1 - \sqrt{7} i$
So b.

4 0

2 years ago

Use the formula d = ( r − c ) t to find c if d = 6 , r = 4 , and t = 2 . c=

Minchanka [31]

First, we are going to want to plug in the values we are given. In this case, we will end up with the equation:

$6 = (4 - c) 2$