All categories

2 years ago

Consider the following polynomial.

Mathematics

2 answers:

nasty-shy [4]2 years ago

8 0

Answer:(x-6)(x+7i)(x-7i)

Step-by-step explanation:

(x-6)(x^2+49)=(x-6)(x^2-(-49)

(x-6)(x^2-(7i)^2)

(x-6)(x+7i)(x-7i)

vfiekz [6]2 years ago

3 0

Answer:

The equivalent factored form of this equation is (x² + 49)(x - 6)

Step-by-step explanation:

x³ - 6x² + 49x - 294

First, group the first and second terms together and group the last two terms together.

(x³ - 6x²) + (49x - 294)

Find the greatest common factor of both parentheses and factor them.

x²(x - 6) + 49(x - 6)

Now, since the two terms in the parentheses are the same, then we have factored the equation correctly.

So, the factored form of the equation is (x² + 49)(x - 6)

You might be interested in

Find the average value of the function on the given interval. f(x)=2 ln x; [1,e]

JulijaS [17]

Answer:

$f_{avg}=\frac{1}{e-1}$

Step-by-step explanation:

We are given that a function

$f(x)=2lnx$

We have to find the average value of function on the given interval [1,e]

Average value of function on interval [a,b] is given by

$\frac{1}{b-a}\int_{a}^{b}f(x)dx$

Using the formula

$f_{avg}=\frac{1}{e-1}\int_{1}^{e}lnx dx$

By Parts integration formula

$\int(uv)dx=u\int vdx-\int(\frac{du}{dx}\int vdx)dx$

u=ln x and v=dx

Apply by parts integration

$f_{avg}=\frac{1}{e-1}([xlnx]^{e}_{1}-\int_{1}^{e}(\frac{1}{x}\times xdx))$

$f_{avg}=\frac{1}{e-1}(elne-ln1-[x]^{e}_{1})$

$f_{avg}=\frac{1}{e-1}(e-0-e+1)=\frac{1}{e-1}$

By using property lne=1,ln 1=0

$f_{avg}=\frac{1}{e-1}$

8 0

2 years ago

Big Big School has 25,000 students. Each student takes 2 classes a day and each teacher teaches 4 classes. Each class has 10 stu

mojhsa [17]

Answer: 1,250

Step-by-step explanation:

Given: The total number of students in the school= 25,000

Since each class has 10 students , therefore, the number of classes in the school= $\frac{25000}{10}=2500$

Also, Each student takes 2 classes a day, thus the number of classes taken by total teachers in a day = $2\times2500=5000$

Also, each teacher teaches 4 classes.

Then the number of teachers in the school = $\frac{5000}{4}=1250$

Hence, the number of teachers are at Big Big School = 1,250

4 0

3 years ago

A 16-foot ladder is placed against the side of a building. The bottom of the ladder is 8 foot from the base of the building. In

OLEGan [10]

8 feet
Hope I helped!

5 0

3 years ago

Read 2 more answers

PLS HELPPPP TY!!!!! pls no stupid answers...

devlian [24]

Answer:

g) 8.50 per pound

Step-by-step explanation:

22.10/2.6

4 0

3 years ago

Read 2 more answers

A bathroom shower streams

antiseptic1488 [7]

Answer:

Step-by-step explanation:

7 0

3 years ago