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3 years ago

What is the degree 3 polynomial that has zeros -3,2 and 5 and in which the coefficient of x^2 is -8?

1 answer:

3 0

For zeroes/roots r1,r2, r3
the facors of the polynomial is
(x-r1)(x-r2)(x-r3)

roots
-3,2,5
(x-(-3))(x-2)(x-5)
(x+3)(x-2)(x-5)
the coefient of the x term is -4
so mutliply the whole thing by 2

(2)(x+3)(x-2)(x-5)

expand
f(x)=2x^3-8x^2-22x+60

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Answer:

12 is the relation

Step-by-step explanation:

if you multiply 12 by your y factor you get your x fator

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2 years ago

A ball is thrown in the air from a ledge. Its height in feet is represented by f16(2-5x - 6), where x is the number of seconds s

Assoli18 [71]

Height in feet is represented by $f(x) = -16(x^2-5x-6)$

The height of the ball is 0 feet when it hits the ground.

So we replace height f(x) by 0 and solve for x to find the time taken to reach the ground

$f(x) = -16(x^2-5x-6)$

$0= -16(x^2-5x-6)$ ( divide by -16 on both sides)

$0=(x^2-5x-6)$

Now factor it

(x-6)(x+1) =0

x-6 =0 and x+1=0

x=6 and x=-1

Time cannot be negative so we ignore -1

x = 6 seconds

It will take 6 seconds for the ball to reach the ground.

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3 years ago

What are the coordinates of the centroid of a triangle with vertices

scoundrel [369]

$\bf ~~~~~~~~\textit{Centroid of a Triangle}\\\\
\begin{array}{llll}
P(x_1,y_1)\quad Q(x_2,y_2)\quad R(x_3,y_3)\\ \quad \\
\left(\cfrac{x_1+x_2+x_3}{3}\quad ,\cfrac{y_1+y_2+y_3}{3}\quad \right)
\end{array} ~~ \begin{array}{llll}
P(-4,-1)\quad Q(2,2)\quad R(2,-3)\\ \quad \\
\left(\cfrac{-4+2+2}{3}\quad ,\cfrac{-1+2-3}{3}\quad \right)
\end{array}$

6 0

2 years ago

Read 2 more answers

WILL GIVE BRAINIEST AND 100 POINTS TO CORRECT ANSWER

tresset_1 [31]

Answer: part a: area = bh part b: split it on its diagonals

Step-by-step explanation:

7 0

2 years ago

In a school of 1600 students, the ratio of teachers to students is 1:16.

a_sh-v [17]

Answer:

The number of teacher who joined the school is 20

Step-by-step explanation:

Teacher : Students = 1 : 16

Number of teachers = 1x

Number of students = 16x

16x = 1600

x = 1600/16

x = 100

Number of teachers at the beginning = 100

Now, after some teachers (let it be y) joining the school,

Teacher : students = 3:40

$\frac{100+y}{1600}=\frac{3}{40}\\\\40*(100+y)=3*1600\\\\4000+40y = 4800\\\\40y=4800-4000\\\\40y=800\\\\y=\frac{800}{40}\\\\y=20$

The number of teacher who joined the school is 20

4 0

2 years ago