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3 years ago

Bill and Lisa are surveying their classmates about their summer reading. Their questions are given below:

1 answer:

7 0

It is my unprofessional opinion that the answer will be c.
my reasoning is because Lisa is asking for a percentage from a set amount<span />

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The length of a quarter is 0.955 inch. Round the length of a quarter to the nearest tenth of an inch./8925047/32fb89d7?utm_sourc

m_a_m_a [10]

0.2387528472385828522

7 0

2 years ago

Finding a polynomial of a given degree with given zeros

galben [10]

Since f(x) is a polynomial with 3rd degree, then it will have 3 roots (zeroes)

One of them is real and the other two are complex conjugate roots

Since the real root is 4, then

x = 4

Since the complex root is (1 - i), then

The other root will be the conjugate of it (1 + i)

x = (1 - i)

x = (1 + i)

To find f(x) we will multiply the three factors of it

We can get the factors from the zeroes

$x=4$

Subtract 4 from both sides

$\begin{gathered} x-4=4-4 \\ x-4=0 \end{gathered}$

The first factor is (x - 4)

$\begin{gathered} x=1-i \\ x-(1-i)=(1-i)-(1-i) \\ x-1+i=0 \end{gathered}$

The second factor is (x - 1 + i)

The third factor is (x - 1 - i)

$f(x)=(x-4)(x-1+i)(x-1-i)$

We will multiply them to find f(x)

$\begin{gathered} (x-1+i)(x-1-i)= \\ x^2-x-ix-x+1+i+ix-i-(i^2)= \\ x^2-2x+1-(-1)= \\ x^2-2x+1+1= \\ x^2-2x+2 \end{gathered}$

Multiply it by (x - 4)

$\begin{gathered} f(x)=(x-4)(x^2-2x+2) \\ f(x)=x^3-2x^2+2x-4x^2+8x-8 \\ f(x)=x^3-6x^2+10x-8 \end{gathered}$

The answer is

$f(x)=x^3-6x^2+10x-8$

5 0

11 months ago

What are the zeros of the function y = x2 + 10x – 171, and why?

vagabundo [1.1K]

To find the zeros, you have to factor the equation.
y=(x+19)(x-9)
This is because 19*-9=-171 and 19-9=10.
Now to make x=0, you have to make the equation
x+19=0
and x-9=0
To solve, isolate x on both equations.
This makes x=-19 and x=9.

5 0

2 years ago

Subtract. Write your answer as a fraction in simplest form. 3 3/4 - 7/8

vfiekz [6]

I find that fractions can be tricky, so I convert them to decimals before subtracting.

3 3/4 = 3.75

7/8 = 0.875

3.75 - 0.875 = 2.875

Knowing that 0.875 = 7/8, we now know that our answer is 2 7/8.

Hope this helps!

8 0

2 years ago

Read 2 more answers

Pls help and show work i am screwed if i don’t do well on this

Aleks [24]

Answer:

x = - 2

Step-by-step explanation:

The axis of symmetry passes through the vertex, is a vertical line with equation equal to the x- coordinate of the vertex, that is

equation of axis of symmetry is x = 1

The zeros are equidistant from the axis of symmetry, on either side

x = 4 is a zero and is 3 units to the right of x = 1, so

3 units to the left of x = 1 is 1 - 3 = - 2

The other zero is therefore x = - 2

5 0

2 years ago