An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale. Let A be the amount of the sale in dollars and C be the charge of the online auction. Explain whether the solutions A=−5 and C=1.1 are viable.

The solutions are not viable because the amount charged is not a whole number.

The solutions are viable because the amount of the sale is an integer.

The solutions are viable because the amount charged is positive.

The solutions are not viable because the amount of the sale cannot be negative

Answer: 0

Step-by-step explanation:

Answer:

k

Step-by-step explanation:

k

Step-by-step explanation:

The factor of the polynomial is (x-2)

We know that dividing a third degree polynomial by a first degree factor will yield a quadratic of the form ax²+bx+c and possibly a remainder r,except that in this case r=0 since x-2 is a factor

We therefore equate

x³-4x²+3x+2=(x-2)(ax²+bx+c)+r

x³-4x²+3x+2=ax³+bx²+cx-2ax²-2bx-2c+r

We group terms on the RHS

x³-4x²+3x+2=ax³+x²(b-2a)+x(c-2b)-2c+r

By equating the terms on both sides,

ax³=x³,a=1

Next,

b-2a=-4

b-2(1)=-4

b-2=-4

b=-4+2

b=-2

Next,

c-2b=3

c-2(-2)=3

c+4=3

c=-1

Now we piece together our quotient quadratic using a=1,b=-2,c=-1 to obtain x²-2x-1

We now find the zeros of x²-2x-1

which are 1+√2 and 1-√2

The values of x are therefore 2,1+√2, and 1-√2

Note that I used this method in lieu of the famous polynomial division approach to teach someone also ;)

Answer:

2, 1 +/- sqrt2

or 2, 2.414, -0.414 (correct to the nearest thousandth).

Step-by-step explanation:

Let x = 2: then

f(2) = 8 - 16 + 6 + 2 = 0

So x = 2 is one  of the zeros.

So one factor of the function is x-2.

If we divide  the function by  (x - 2) we get:

x-2)X^3-4x^2+3x+2(x^2-2x-1

     x^3- 2x^2

            -2x^2+3x

            -2x^2+4x

                       -x+2

                       -x+2

                        .......

So x^2-2x-1= 0

x = [-(-2 +/- sqrt(4 - 4*-1)] / 2

x = (2 +/- sqrt8) / 2

= 1 +/-sqrt8/2

= 1 +/- sqrt2

Answer:

102

Step-by-step explanation:

1.2*85=102

Answer:

Step-by-step explanation:

A.85 pizzas * 20%= 17 additional pizzas for total of 102 pizzas

B. If you are using the 102 pizzas:

65/102= 63.73% of the 102 pizzas so a decrease.

If  you are going by the 85 pizzas:

65/85= 74.47% decrease from original 65 pizza

Answer:

Gabriella will make $61 more than Mila after 5 years

Step-by-step explanation:

Gabriella Data

Principal Amount P= $73,000

Rate r = 3% or 0.03

Compounded continuously

Time t = 5 years

The formula used is: [tex]A=Pe^{rt}[/tex]

Putting values and finding A

[tex]A=Pe^{rt}\\A=73000e^{0.03*5}\\A=73000e^{015}\\A=84813.899\\A\approx84814[/tex]

So, After 5 years Gabriella will have $84814

Mila Data:

Principal Amount P= $73,000

Rate r = 3% or 0.03

Compounded quarterly n = 4

Time t = 5 years

The formula used is:[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values and finding A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=73000(1+\frac{0.03}{4})^{4*5}\\A= 73000(1+0.0075)^{20}\\A= 73000(1.0075)^{20}\\A=73000(1.161)\\A=84753[/tex]

So, After 5 years Mila will have $84753

Now subtracting to find the difference 84814-84753 = 61

So, Gabriella will make $61 more than Mila after 5 years

9514 1404 393

Answer:

  5 + (-2)

Step-by-step explanation:

starting with: 5 - 2

step 1: 5 + ( )

step 2: 5 + (-2)

Answer:

Hope this helps!!!

Step-by-step explanation:

6(2−3)

Answer:

6(2n - 3)

Step-by-step explanation:

Answer:

the answer is -16.7

Step-by-step explanation:

i did the math 16 + .7 =-6.7  answer -16.7

Answer:

Sorry i would help but the paper is unclear

Step-by-step explanation:

Answer:

The 1st, the 4th, and the 5th ones are the answer :)

Step-by-step explanation:

Answer:

y = 6x - 2

Step-by-step explanation:

Let the equation of the line be y = mx + c

m = (10 - (-8))/(2 - (-1)) = 6

sub (2, 10):

10 = 6(2) + c

c = -2

therefore, the equation of the line is y = 6x - 2

This is a question on coordinate geometry/graphs. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

i think 70 words per minute

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Answer:

200 sheets

Step-by-step explanation:

Divide 5,000 by 25 to get 200 sheets of paper per box.

Answer:

750 pieces of paper

Step-by-step explanation:

can't

Answer:

The answer is D since it equals

x < -2

Answer:

Dw I gotchu. It's D because it' the most reasonable for this problem.

Answer:

3) Equation of line is: 5x-8y+34=0

4) Equation of line is: 5x+y+5=0

Step-by-step explanation:

3) Equation of line parallel to [tex]5x-8y+12=0[/tex] and through point (-2,3)

When two lines are parallel they have same slope.

Converting the given equation [tex]5x-8y+12=0[/tex] to Slope intercept form i.e [tex]y=mx+b[/tex]

[tex]5x-8y+12=0\\-8y=-5x-12\\y=-\frac{5x}{-8}-\frac{12}{-8}\\y= \frac{5x}{8}+\frac{3}{2}[/tex]

Now comparing with [tex]y=mx+b[/tex] we get value of m i.e 5/8 which is slope of line.

Now, finding y-intercept using point (-2,3) and slope 5/8

[tex]y=mx+b\\3=\frac{5}{8}(-2)+b\\3=-\frac{5}{4}+b\\b=3+\frac{5}{4}\\b=\frac{3*4+5}{4}\\b=\frac{12+5}{4}\\b=\frac{17}{4}[/tex]

So, y-intercept is b= 17/4

The required equation is:

[tex]y=mx+b\\y=\frac{5x}{8}+\frac{17}{4}[/tex]

Writing in Standard form

[tex]y=\frac{5x}{8}+\frac{17}{4}\\y=\frac{5x+17*2}{8} \\y=\frac{5x+34}{8} \\8y=5x+34\\5x-8y+34=0[/tex]

So, Equation of line is: 5x-8y+34=0

4) Equation of line perpendicular to [tex]x-5y+2=0[/tex] and through point (-2,5)

When two lines are perpendicular they have opposite slope i.e m=-1/m.

Converting the given equation [tex]x-5y+2=0[/tex]  to Slope intercept form i.e [tex]y=mx+b[/tex]

[tex]x-5y+2=0\\-5y=-x-2\\y=-\frac{x}{-5}-\frac{2}{-5}\\y= \frac{x}{5}+\frac{2}{5}[/tex]

Now comparing with [tex]y=mx+b[/tex] we get value of m i.e 1/5 which is slope of given line.

Slope of required line will be: m=-1/m = -5

Now, finding y-intercept using point (-2,5) and slope -5

[tex]y=mx+b\\5=-5(-2)+b\\5=10+b\\b=5-10\\b=-5[/tex]

So, y-intercept is b= -5

The required equation is:

[tex]y=mx+b\\y=-5x-5[/tex]

Writing in Standard form

[tex]y=-5x-5\\5x+y+5=0[/tex]

So, Equation of line is: 5x+y+5=0

Answer:

the answer is 5 over 6

Step-by-step explanation:

well, you Start the Fraction with 5 Over 8 and End the Fraction divide by three-fourths One-eighth Start the next Fraction 5 Over 6 and End the Fraction Three-fourths 1 and one-half and the answer is 5/6

Answer:

AB = 8

Step-by-step explanation:

A is between B and C. If BC= 8x + 5, AB= 2x + 4, and AC= 3x + 7, then find AB

Step 1

Find x

BC = AB + AC

8x + 5 = 2x + 4 + 3x + 7

Collect like terms

8x - 2x - 3x = +4 + 7 - 5

3x = 6

x = 2

Step 2

Find AB

= AB= 2x + 4

AB = 2(2) + 4

AB = 4 + 4

AB = 8

Answer:

33.6% of X = 26800

X = 26800 / 33.6%  

   = 26800 / 0.336

  = 79762

Note the answer is rounded

Step-by-step explanation:

33.6% of X = 26800

X = 26800 / 33.6%  

   = 26800 / 0.336

  = 79762

Note the answer is rounded

Answer:

2800 lightbulbs

Step-by-step explanation:

Divide 56 by 2% to cancel out the multiplication used to find the amount of defective lightbulbs.

Answer:

b

Step-by-step explanation:

edge 2020

Answer:

C this is a double blind study.

Step-by-step explanation:

Both groups in the experiment are blind (don't know they are in an experiment). If this answer is incorrect then its A.

Answer:

observational study

Step-by-step explanation:
the experimenters are not blind to their own tests.

Answer:

18

Step-by-step explanation:

The centroid of a triangle is located ⅓ of the distance from each side to the opposite vertex

So HF=⅓BF

So BF=3xHF=3x6=18

The area of the wreck site is 85 square m if Archaeologists are studying a shipwreck on the ocean floor.

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Archaeologists are studying a shipwreck on the ocean floor. The wreck site is roughly shaped like a parallelogram.

From the table:

The vertex of the P is (9, 2)

The vertex of the Q is (-8, 2)

The vertex of the R is (-7, 7)

The vertex of the S is unknown

From the distance formula we can find the distance between points P and Q:

The distance formula can be defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\rm PQ = \sqrt{(-8-(-9))^2+(2-2)^2}[/tex]

PQ = 17 units

[tex]\rm QR = \sqrt{(-7-(-8))^2+(7-2)^2}[/tex]

QR = 5.09 ≈ 5 units

The area of the wreck site = 17x5

The area of the wreck site = 85 square m

Thus, the area of the wreck site is 85 square m if Archaeologists are studying a shipwreck on the ocean floor.

Learn more about the parallelogram here:

brainly.com/question/1563728

#SPJ2

Answer:

157 degrees

Step-by-step explanation:

A linear pair is 180 degrees.

180-33 = 157

Answer:

m∠1 = 147°

Step-by-step explanation:

Since both angles are a linear pair, they both add up to 180°. This means that if m∠2 = 33°, then m∠1 would be 180°-33° which is 147°.

180°-33°=147°

Answer:

A

Step-by-step explanation:

Answer:

Thats not a full question.

Step-by-step explanation:

Answer:

0

Step-by-step explanation: