PLEASE HELP!


Simplify the polynomial. Fill in the blanks with the missing numbers.


5x−5+11x^2+4x−6x^2+8

Answer:

y = -2x - 5

Step-by-step explanation:

First rewrite the second equation into y = mx + b format:

x - 2y = 14  

2y = x - 14

y = x/2 - 14/2 (Divide both sides by 2)

y = 1/2x - 7

A line perpendicular to another has the negative reciprocal slope

So the slope of our first equation is -2. (Flip 1/2 = 2, then take the opposite)

Plug in the points (-1, -3) for the x and y coordinates.

x (x coordinate) = -1

y (y coordinate) = -3

slope (m) = -2

-3 = -1(-2) + b

-3 = 2 + b

-3 - 2 = b

b = -5

The equation of the line is y = -2x - 5. Hope this helps! :)

Answer:

y = -2x - 5  or 2x + y = -5

Step-by-step explanation:

Let's find the slope of the given line.  

-2y = -x + 14

y = 1/2(x) -7

m = 1/2

The slope of a line perpendicular is the negative reciprocal of 1/2, which is -2

Now use the point-slope form of a line

y + 3 = -2(x + 1)

y + 3 = -2x - 2

y = -2x - 5  or 2x + y = -5

Answer:

C = 3n

Step-by-step explanation:

Given that,

The fabric is $3 times the number of yards of fabric n.

We need to find an equation that gives the total cost c of n yards of fabric.

It means, the total cost of n yards of fabric is given by :

C = 3n

Where

n is yards of fabric.

Answer:

The product of its roots is 6.

Step-by-step explanation:

Let [tex]m\cdot x^{2}-(6\cdot m +1)\cdot x+(m^{3}+m^{2}+4) = 0[/tex], all roots are calculated by Quadratic Formula:

[tex]r_{1} = \frac{6\cdot m +1 + \sqrt{(6\cdot m + 1)^{2}-4\cdot m\cdot (m^{3}+m^{2}+4)}}{2\cdot m}[/tex] (1)

[tex]r_{2} = \frac{6\cdot m +1 - \sqrt{(6\cdot m + 1)^{2}-4\cdot m\cdot (m^{3}+m^{2}+4)}}{2\cdot m}[/tex] (2)

According to statement, we know that:

[tex]r_{1}+r_{2} = 7[/tex] (3)

By applying (1) and (2) in (3), we have the following expression:

[tex]\frac{6\cdot m +1}{m} = 7[/tex]

[tex]6\cdot m + 1 = 7\cdot m[/tex]

[tex]m = 1[/tex]

If we know that [tex]m = 1[/tex], then the roots of the polynomial are, respectively:

[tex]x^{2}-7\cdot x +6 = 0[/tex]

[tex]r_{1} = 6[/tex]

[tex]r_{2} = 1[/tex]

And the product of the roots is:

[tex]r_{1}\cdot r_{2} = 6[/tex]

The product of its roots is 6.

Answer:

Step-by-step explanation:

Width: x

Length: x + 3

Height: x + 3 + 4 = x + 7

Volume of prism = area of cross section x length

Area of cross section = width x height = x ( x + 7 ) = x² + 7x

Volume = (x + 4) x (x² + 7x)

= x³ + 7x² + 4x² + 28x

= x³ + 11x² + 28x

The algebraic expression which shows the volume of the prism is [tex]x^{3}+10x^{2} +21x[/tex].

Volume is basically amount of substance a container can hold in its capacity. Volume of rectangular prism is the product of length, breadth and height of prism.

We know that volume of rectangular prism is L*B*H.

We have been given that width is x cm.

According to question length will be x+3,

Height will be x+3+4

=x+7

Volume will be =x(x+3)(x+7)

Multiply the expressions,

=x([tex]x^{2}[/tex]+3x+7x+21)

=x([tex]x^{2}[/tex]+10x+21)

=[tex]x^{3} +10x^{2} +21x[/tex]

Hence volume of rectangular prism can be expressed as [tex]x^{3} +10x^{2} +21x[/tex].

Learn more about volume at https://brainly.com/question/463363

#SPJ2

Answer:

yes he is

Step-by-step explanation:

Answer:

should be $133.86

Step-by-step explanation:

46.56 divided by 8 to get money per hour, then multiplied by 23 to get money earned after 23 hours

Answer: 50 degrees

Step-by-step explanation:

Since the angle is 80 degrees, you need to subtract 80 from 30 to get f.

80-30= 50

Answer:

You simply take the values away from 180°.

a) 180-85-65 = 30°

b) 180-37-63=80°

c) 180-52-78=50°

d) 180-102-58=20°

e) 180-100-60=20°

f) 180-105-25=50°

g) 180-127-23=30°

Answer:

2

Step-by-step explanation:

4n-2n=4

2n=4

n=4/2

n=2

Answer:

I think its (2, 1) .

Step-by-step explanation:

the 2 represents the x axis

the 1 represents the y axis

Answer:

$1100 approx

Step-by-step explanation:

Given data

SImple interest = $55

Time= 5 months in years = 5/12= 0.42 years

rate= 12%

Let the sum be P, that is the principal

The expression for the interest is given as

SI=PRT/100

substitute

55= P*12*0.42/100

Cross multiply

5500=5.04P

P= 5500/5.04

P= 1091.2

Hence the Principal is $1100 approx

Answer:

final answer is 21

Step-by-step explanation:

since x+y=7 and xy=10

2+5=7 and 2(5)=10

so,

(5)3=15  

(2)3=6

15+6= 21

Answer:

1 19/270!

Step-by-step explanation:

Anywho If you need to simplify this stuff, Go to M.athway! It helps you simplify and other things!

So we take 6 out of each term so it is [tex]6(4+3v)[/tex] hope this helped.

Answer:

hey bby

Step-by-step explanation:

Answer: Option 3 40/41

Step-by-step explanation:

Sin of angle A means the opposite over hypotenuse. The opposite of Angle A is 40 and the hypotenuse is 41 so SinA is 40/41

Answer:

option 3:  [tex]\frac{40}{41}[/tex]

Step-by-step explanation:

SOH CAH TOA

sine = [tex]\frac{opposite}{hypotenuse}[/tex]

sine A = [tex]\frac{40}{41}[/tex]

Answer:

x = 1/2QN^2

Step-by-step explanation:

Answer:

only the circle graph

Step-by-step explanation:

Answer:

Only the graph

Step-by-step explanation:

Im not an expert or anything but the chart only shows numbers, which aren't useful, but the circle shows, under the 80-89, 44.4%, which is the useful one. hope that helps you

Answer:

1. 324 cm

Step-by-step explanation:

2. 150 cm

Answer:

4 years

Step-by-step explanation:

Given data

Principal P=$5000

Rate r= 7.5%

Final amount A=$6500

The expression for the simple interest is

A=P(1+rt)

Substitute

6500=5000(1+0.075*t)

6500=5000+375t

6500-5000=375t

1500=375t

t= 1500/375

t= 4 years

Hence, the time is 4 years

12.1 yd

12.14 yd; round and get 12.1 yd

I'm sorry, but what exactly are the expressions?

If you comment the expression under my answer, I'll edit my answer and actually answer it.

But nobody can answer an expression that doesn't exist-

to be honest i think your answer is 51°

Answer:

this is not an answer sorry, but someone answered me with a link and I opened it and it virused my phone

Answer:

Also not an answer

Step-by-step explanation:

I also got a virus on my phone. I had to get a whole new device.

Answer:

x = 51

Step-by-step explanation:

It looks like alt int. angles (correct me if im wrong)

3x - 40 = 2x + 11

x = 51

Answer:

99x88= 8712 square yards