Mark and his friends order two pizzas of the same size .•The first pizza is cut into 6 slices of equal size .•The second pizza is cut into 4 slices of equal size. Each person plans to take 2 slices of pizza. Mark concludes that he would get more pizza by taking 1 slice from each pizza, instead of 2 slices from the first pizza. Explain why Mark is correct. Be sure to include a number comparison by using > or < in you explanation.

Answer:

(x - 4)(x + 4)(x - 1)(x + 1)

Step-by-step explanation:

Given

[tex]x^{4}[/tex] - 17x² + 16

Use the substitution u = x², then

u² - 17u + 16

Consider the factors of the constant term (+ 16) which sum to give the coefficient of the u- term (- 17)

The factors are - 16 and - 1, then

u² - 17u + 16

= (u - 16)(u - 1) ← replace u by x²

= (x² - 16)(x² - 1) ← both factors are difference of squares

= (x - 4)(x + 4)(x - 1)(x + 1)

Answer: -18

Step-by-step explanation: x4-17x2+16= -18

i am not completely sure but here. i hope this helps god bless

Answer:

The Length of rectangle is 87 yards.

Step-by-step explanation:

Let width = w

Length = 3w-18

Perimeter of rectangle = 244 yards

We need to find length of rectangle.

First we need to find value of w

The formula used will be: [tex]Perimeter=2(length+width)[/tex]

Putting values and finding w

[tex]Perimeter=2(length+width)\\244=2(3w-18+w)\\244=2(4w-18)\\244=8w-36\\244+36=8w\\8w=280\\w=\frac{280}{8}\\w=35[/tex]

So, w= 35

The width of rectangle w = 35 yards

The length of rectangle l = 3w-18 = 3(35)-18 = 105-18 = 87 yards.

So, the Length of rectangle is 87 yards.

Answer:

y = 2x + 3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = 2

y-intercept b = 3

Step 2: Write function

y = 2x + 3

Slope intercept form : y=mx+b

answer: y=2x+3

You’re basically supposed to substitute

Dilations change the size of an object or image. In this case, a city map changes the city's size and makes it smaller so that it can be read.

The slope is m=2 in the first picture. Can be done by rise/run.

The second graph has an undefined slope. Using rise/run would get the run value = 0 and that'd make the slope undefined because the denominator cannot be 0.

Answer: no its not a function  

Step-by-step explanation: i searched it up and all of them said no, hopr thid helps :)

Step-by-step explanation:

Gradient = Coefficient of x = -1.

Answer........................

7

5

3

1

-1

Answer:1.5 i think

Step-by-step explanation:

Answer:

the scale factor is 2/3

Step-by-step explanation:

to find the scale factor plug in values to [tex]\frac{new}{old}[/tex]

the new figure is the one in which the scale factor is applied to, and the old is the original figure

so for new take any side from the dilated figure, I will pick HI, the size is 4

for old use what is congruent to HI, so OL, which is 6

plug this into your fraction and you get 4/6

this simplifies to 2/3

Answer:

(6,41)

x=6

y=41

Step-by-step explanation:

I did it algebraically to solve for x and y, and I also graphed both of them and found the point where they intersect. It’s in the image below.

Hope this helps! :)

Answer:

n = 0.38 rotation per second

Step-by-step explanation:

The device rotates according to the mathematical equation :

[tex]n=\dfrac{g^{0.5}}{2\pi r^{0.5}}[/tex] ...(1)

Where n is the rotational speed and is measured in rotations per second (s).

r is radius of the circulator and is measured in meters (m).

We need to find the rotational speed when radius is 1.7 m. Put r = 1.7 m in equation (1).

[tex]n=\dfrac{(9.8)^{0.5}}{2\pi \times (1.7)^{0.5}}\\\\=0.38\ \text{rotations per second}[/tex]

Hence, the rotational speed is 0.38 rotation per second.

Answer:

Sadly all my exes were horrible and cheated on me however, I will tell you what I would say if I lost my current partner

Step-by-step explanation:

I regret not being there so much. I regret not loving you enough. I regret not holding you enough and not kissing you enough. I regret not spoiling you enough. I regret everything except loving you. I wish I could've given you the world like my promise and that was the biggest mistake yet.  

Answer:

answer is 2.47

Incomplete question. However, let's work it out using an assumed set of data.

Assuming the list and value of items totaling $120.70 is:

Answer:

approximately 36%

Step-by-step explanation:

To find the percent of the bill spent on orange juice, we need to find the ratio of its cost to the total cost of Tabitha's shopping experience. We can use the basic formula:

[tex]\frac{item cost}{total cost} * 100[/tex]

[tex]\frac{43.7}{120.7} * 100=[/tex] 36%

In other words, the $43.7 she spent on orange juice made up 36% of the bill.

Answer:

distributive

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x5x7x8x2÷8=?

Answer:

y = 32

Step-by-step explanation:

y = 3x + 5

y = 3(9) + 5

y = 27 + 5

y = 32

Answer:

Step-by-step explanation:

You replace all the x's in the problem with 9.

3(9)+5

3(9)=27

27+5=32

Answer:

A) 10.6

Step-by-step explanation:

5w - 9 = 44

Add 9 to both sides.

5w = 53

Divide by 5.

w = 10.6

Answer:

y=-50x+-10

Step-by-step explanation:

I'm assuming you need this answer in the y=mx+b format.

Answer:

y = 4/1 - 2

Step-by-step explanation:

That is your words in slope intercept form

Answer:

D . No because it fails the vertical line test .

Step-by-step explanation:

The expression that can be used to determine the total amount of Joe spent on gasoline and oil is 2.85g + 3.15c.

The number of gallons of gasoline he bought is 3.0 gallons.

Joe bought g gallons of gasoline for 2.85 dollars per gallons and c cans of oil 3.15 dollars per can.

Therefore, the expression that can be used to determine the total amount of Joe spent on gasoline and oil is as follows:

total amount = 2.85g + 3.15c

where

Joe spent 15 dollars . He bought 2 cans of oil . The amount of gallons of gasoline he bought can be calculated as follows:

15 = 2.85g + 2(3.15)

15 = 2.85g + 6.3

15 - 6.3 = 2.85g

8.7 = 2.85g

g = 8.7 / 2.85

g = 3.05263157895

Therefore,

g = 3.0 gallons of gasoline

learn more on expression here: brainly.com/question/29177553

#SPJ1

1/3 so sorry if this is wrong

Answer:

https://brainly.com/question/11858927

Step-by-step explanation:

Use that Link ;)

Answer:

1. 180

2. x = 31

Step-by-step explanation:

1. the sum of the interior angles of every triangle is always 180

2. using what we know from problem 1, we can create an equation:

x + 10 + 2x - 5 + 2x + 20 = 180

add like terms: 5x + 25 = 180

subtract 25 from both sides: 5x = 155

divide both sides by 5: x = 31

Answer:

the answer is -4. :)

Step-by-step explanation:

Answer:

180 inches

Step-by-step explanation:

There are 36 inches in a yard.

And there are 5 yards.

SO, 36 x 5 = 180 inches.

Answer:

7 hours

Step-by-step explanation:

2 divided by 14

i hope this helped

Answer:

7 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area = 3.14r^2

Area = 3.14(5)^2

Area = 3.14(25)

Area = 78.5