The figure shows a carpeted room. How many square feet of the room are carpeted?

I NEED HELP ON THIS CONSTRUCTED RESPONSE! :(

Vikentia [17]

Answer:

Step-by-step explanation:

-12x - 0.4 > 0.2(36.5x + 80) - 55

-12x - 0.4 > 7.3x + 16 - 55

-19.3x > -38.6

x < 2

4 0

3 years ago

What is the completely factored form of f(x)=x3−7x2+2x+4?

sladkih [1.3K]

Answer:

The Factored form is

$f(x)=(x-1)(x-3-\sqrt{13} )(x-3+\sqrt{13} )$

Step-by-step explanation:

Given;

$f(x)=x^{3} -7\times x^{2} +2x+4$

To solve for x we factorize the right side of

$f(x)=x^{3} -7\times x^{2} +2x+4$

Let Substitute x for various values to check whether remainder is zero.

$f(1)=1^{3} -7\times 1^{2} +2\times 1+4$

Hence $x-1$ is a factor of the function.

Do synthetic division to find the quotient

$1$ $1$ $-7$ $2$ $4$

$1$ $-6$ $-4$

_____________________

$1$ $-6$ $-4$ $0$

We get remainder 0 and quotient as,

$x^{2} -(6\times x)-4$

By using Quadratic Formula;

$x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a}$

Plug 'a' , 'b' and 'c' value from $x^{2} -(6\times x)-4$ equation,

$x=\frac{-(-6)\pm\sqrt{-6^{2}-(4\times1\times -4 )} }{2\times1}$

$x=\frac{6\pm\sqrt{36+16 } }{2}$

$x=\frac{6\pm\sqrt{52} }{2}$

$x=3+\sqrt{13}$ and $x=3-\sqrt{13}$

The values of 'x' are $1$ , $3+\sqrt{13}$ and $3-\sqrt{13}$

So the Factored form is

$f(x)=(x-1)(x-3-\sqrt{13} )(x-3+\sqrt{13} )$

7 0

3 years ago

The water level as a river recedes after a flood is measured at regular intervals, and its height relative to normal, in inches,

kicyunya [14]

Answer:

7th measurement = -26

Step-by-step explanation:

The sequence is 16, 9, 2, –5, ...,

First term( a)= 16

Second term=9

Common difference (d) = 9-16

Common difference= -7

The sequence is a arithmetic progression

For AP's ,the terms formula is

Term(n) = a + (n-1)d

Where n represent the term to be found

In this case,we Are looking for the 7th term , so n= 7

Term(7) = 16+ (7-1)-7

Term(7)= 16 +6(-7).

Term (7) = 16-42

Term(7) = -26

7th term =-26

4 0

3 years ago

Which of the following is a method used to solve systems of equations? A. Substitution B. Graphing C. Gaussian elimination D. Al

Fed [463]

Graphing, Substitution Method and Elimination Method

5 0

4 years ago

5+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B16x%5E%7B2%7D%20-37x-2%20%7D%3D4x" id="TexFormula1" title="\sqrt{16x^{2} -37x-2 }=

bonufazy [111]

Answer:

Step-by-step explanation:

$\sqrt{16x^2-37x-2} =4x-5\\squaring~ both~sides\\16x^2-37x-2=16x^2-40x+25 ~[(a-b)^2=a^2-2ab+b^2]\\16x^2-37x-2-16x^2+40x-25=0\\3x-27=0\\3(x-9)=0\\x-9=0\\x=9$

4 0

4 years ago