All categories

2 years ago

Write an equation for the polynomial graphed below

Mathematics

1 answer:

Anit [1.1K]2 years ago

6 0

The expression for the polynomial graphed will be y(x) = (x + 3)(x - 1 )(x - 4 ).

<h3>How to factor the polynomial?</h3>

From the graph, the zeros of the polynomial of given graph are:

x = -3

x = 1

x = 4

Equate the above equations to zero

x + 3 = 0

x - 1 = 0

x - 4 = 0

Multiply the equations

(x + 3)(x - 1 )(x - 4 ) = 0

Express as a function gives;

y = (x + 3)(x - 1 )(x - 4 )

Hence, the factored form of the polynomial will be y = (x + 3)(x - 1 )(x - 4 ) .

You might be interested in

How much money would you need to put in the bank if you get a simple interest rate of

spin [16.1K]

Here,
Time: 4 years
Rate: 5%
Simple interest:500$
So, principal:?
We know,
SI=P*T*R/100
500=P*4*5/100
500=20P/100
20P=50000
P=50000/20
P=2500$
So 2500$ is needed to make atleast 500$ interest in 4 years with 5% rate

3 0

3 years ago

Evaluate 5(a•4)+ b, 1 when a=-andb=12. 3 O A) 14 3 OB) 17 2 O C) 18 3 OD) 27 HELP ASAP

svetlana [45]

Evaluate 5(a•4)+ b, when a = 1/3 and b=12

The Answer is

C. 18 2/3

hope it's help hshshs

3 0

3 years ago

Find a parabola with equation y = ax2 + bx + c that has slope 5 at x = 1, slope −11 at x = −1, and passes through the point (2,

azamat

By "slope" I assume you mean slope of the tangent line to the parabola.

For any given value of x, the slope of the tangent to the parabola is equal to the derivative of y :

$y=ax^2+bx+c\implies y'=2ax+b$

The slope at x = 1 is 5:

$2a+b=5$

The slope at x = -1 is -11:

$-2a+b=-11$

We can already solve for a and b :

$\begin{cases}2a+b=5\\-2a+b=-11\end{cases}\implies 2b=-6\implies b=-3$

$2a-3=5\implies 2a=8\implies a=4$

Finally, the parabola passes through the point (2, 18); that is, the quadratic takes on a value of 18 when x = 2:

$4a+2b+c=18\implies2(2a+b)+c=10+c=18\implies c=8$

So the parabola has equation

$\boxed{y=4x^2-3x+8}$

6 0

3 years ago

Employer A is offering you a position for $350000 per year l. Employer B is offering the same job for $18.00 per hour. Assuming

ss7ja [257]

Answer:

Depends

Step-by-step explanation:

In order to see which annual salary is higher, we must calculate the annual salary of B to compare to A. To do this, if B offers $18.00 an hour for 40 hours a week, that's $720 a week. Now to convert this to annual, multiply the weekly earnings by the 52 weeks in a year. Employer B offers $720 × 52 weeks = $37,440 annually. Assuming you didn't have a typo, $350,000 is $312,560 greater meaning A pays more. If you did have a typo, and meant that Employer A offered $35,000, then Employer B would pay more.

5 0

4 years ago

I need help on this question.

BartSMP [9]

Answer:

(c - a, b)

Step-by-step explanation:

7 0

3 years ago