The square of a number x is 115. The number x is between what two consecutive whole numbers?

The awnser I’m really have trouble finding a awnser

svlad2 [7]

$A = \pi r^2$
$C=2 \pi r$
$\pi r^2 = 50.24$
$\pi r^2/ \pi =50.24/ \pi$
$r^2 = 16$
$r=4$
$C = 2 \pi r$
$C = 25.13$

8 0

3 years ago

2x^3-x^2+x-2 factorize

bekas [8.4K]

Answer:

$(x-1)(2x^2+x+2)$

Step-by-step explanation:

Factorize:

$f(x)=2x^3-x^2+x-2$

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

$\implies f(1)=2(1)^3-1^2+1-2=0$

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

$\implies f(x)=(x-1)(ax^2+bx+c)$

Expanding the brackets:

$\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c$

$\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c$

Comparing coefficients with the original polynomial:

$\implies ax^3=2x^3 \implies a=2$

$\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1$

$\implies -c=-2 \implies c=2$

Therefore:

$\implies f(x)=(x-1)(2x^2+x+2)$

Cannot be factored any further.

4 0

2 years ago

Read 2 more answers

Please help its very hard

allochka39001 [22]

This histogram is skewed to the left and its distribution's center would be three (3).

<h3>What is a histogram?</h3>

A histogram is used to graphically represent a set of data points into user-specified ranges, especially through the use of rectangular bars.

In this scenario, we can infer the following about the histogram distribution's center, spread, and overall shape:

This histogram is skewed to the left.

Its distribution's center would be three (3).

The spread implies that more students are between 58-59 and 60-61 inches.

The shape shows that many of the values are at the lower end.

Read more on histogram here: brainly.com/question/21304143

#SPJ1

8 0

2 years ago

Which expression is a factor of this polynomial x^3+2x^2-9x-18

REY [17]

Answer: (x+2)

Step-by-step explanation:

4 0

3 years ago

You have just arrived at summer camp. And your cabin, the counselor has each camper perform the super secret handshake with ever

PSYCHO15rus [73]

Just try to follow my description. When two persons are in the cabin, there is only 1 handshake. When a third person comes, he will have to handshake the two people who came before him. So, there will be 2 handshakes. When a fourth person comes, he would make 3 handshakes with the 3 people who came before him. When the fifth person comes, he would make 4 handshakes with the 4 people who came before him. So, you see there is a pattern. The number of handshakes is 1 less than the total number of people inside the cabin. So, if there are 14 people in the cabin, the last person to come in would have to make 13 handshakes with the 13 people who came in first. Obtaining the sum of all the handshakes starting from the 2 handshakes initially to the 13 handshakes, the sum would be

Total handshakes = 2+3+4+5+6+7+8+9+10+11+12+13
Total handshakes = 90

Therefore, there will be a total of 90 handshakes made within the cabin of 14 people.

8 0

3 years ago