Lesson 4.02
A grocery store finds that the number of boxes of a new cereal sold increases each week. In the 1st week,
32 boxes of the cereal were sold. In the 2nd week, 56 boxes of the cereal were sold and in the 3rd week 80
boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic
sequence.
A) State the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in
week n.
B) Use this rule to calculate how many boxes of cereal will be sold during the 12th week.

Answer:

1) Factored Form: y = (x - 3)(x + 1)

  X intercepts: (-1, 0), (3, 0)

  Axis of Symetry: x = 1

  Vertex: (1, -4)

  Domain: All real numbers -  (-∞, ∞)

  Range: y ≥ 4

2) Facotred Form: y = (x - 8)(x + 1)

   X intercepts: (-1, 0), (8, 0)

   Axis of symetry: x = 3.5

   Vertex: (3.5, -20.25)

   Domain: All real numbers - (-∞, ∞)

   Range: y ≥ -20.25

Step-by-step explanation:

Answer:

Phhshh- Ez
It's: -90407945526160061369845453076660224 or for factor: (In image below

Step-by-step explanation:

(27−241)

15

Subtract 241 from 27 to get −214.

(−214)

15

Calculate −214 to the power of 15 and get −90407945526160061369845453076660224.

The length of the rectangular table the carpenter builds given the scale is 110 feet

A scale drawing is a smaller version of a larger image. The scale drawing is usually reduced at a constant dimension

Length of the table = (11 x 7 1/2) ÷ 3/4

(11 x 15/2) x 4/3 = 660/6 = 110 feet

To learn more about scale drawings, please check: https://brainly.com/question/26388230

Answer:

1/6

Step-by-step explanation:

Tell me if you need one

Answer:

first you write number 4,second the frequency you write number 5...for this data

Answer:

53.89%

Step-by-step explanation:

total no. obtainable = 80 + 100 = 180

total scores acquired = 22 + 75 = 97

percentage = (total acquired/total possible) × 100

= (97/180) × 100

= 53.89 %

Part A

Part B

Addtional Information:

Answer:

(a)  12

(b)  36

Step-by-step explanation:

Knowledge check: [tex]\sqrt{x} =\sqrt[2]{x}[/tex]

Apply the exponent rule:

[tex](\sqrt[n]{x})^n=x\quad\textsf{if}\:n\:\textsf{is odd or}\:x\geq 0[/tex]

Question (a)

[tex](\sqrt{6})^2 \times (\sqrt{2})^2=6 \times 2=12[/tex]

Question (b)

[tex](\sqrt[3]{3})^3 \times (\sqrt{12})^2=3 \times 12=36[/tex]

A right triangle with a 45 degree angle means the two short sides are the same, so y = 30

the hypotenuse is the length of the side x sqrt (2), so x =30sqrt(2)

answer: x = 30sqrt(2) and y = 30

Answer: 0.924

Step-by-step explanation:

Given

[tex]\frac{2.310x}{4y} *\frac{8y}{5x}[/tex]

Simplify  [tex]\frac{2.310x}{4y}[/tex] to [tex]\frac{0.5775x}{y}[/tex]

[tex]\frac{0.5775x}{y}*\frac{8y}{5x}[/tex]

Cancel y

[tex]0.5775x* \frac{8}{5x}[/tex]

Cancel x

[tex]0.5775* \frac{8}{5}[/tex]

Use the rule, [tex]a*\frac{b}{c} =\frac{ab}{c}[/tex]

[tex]\frac{0.5775*8}{5}[/tex]

Simplify

[tex]\frac{4.62}{5}[/tex]

Simplify

0.924

Answer:

600$ rent for 5 days,

around 185 miles a day, meaning you are paying 0.35$x85=29.75 extra a day.

adding up to 120 a day+29.75=149.75 a day.

149.75x5=748.75 for 5 days not including gas prices.

925/25=185 gallons of gas. 4 dollars per gallon, meaning that 185x4=740 extra dollars in gas

748.75+740=1488.75$ for the entire trip.

1488.75

Answer:

Not parallel  

Step-by-step explanation:

Could be   perpindicular    or   not parallel

Answer:

It will cost $21.25

Step-by-step explanation:

We can use ratios to solve

8.50          x

--------   = -----------

100 kg      250 kg

Using cross products

8.50 * 250 = 100 x

Divide each side by 100

8.50 * 250/100 = x

21.25 = x

It will cost $21.25

Answer:

21

Explanation:

To solve this problem, you substitute in the 5 for the x creating this equation: f(5)=6+3(5).

f(5)=15+6

f(5)=21

Answer:

The answer is the first matrix. Image attached.

Step-by-step explanation: Given that Dante is solving the system of equations:

In solving the above system of equations, Dante writes the row echelon form of the matrix. We are to select the correct row echelon of the matrix that he wrote.

We know that a matrix is said to be in row echelon form if the leading entry in each nonzero row is a 1 and each column containing a leading 1 has zeros everywhere else.

In the given options, these conditions are satisfied by the first option only. And also, if we write the solution from this matrix, we will have

r = -1,  s = 0  and  t = 3.

If we substitute these values in the given system, it will get satisfied.

Thus, the first matrix, attached herewith, is the correct matrix.

Answer:

7.093 cm

Step-by-step explanation:

[tex]4.5^2+x^2=8.4^2[/tex]

[tex]20.25+x^2=70.56[/tex]

[tex]x^2=50.31[/tex]

[tex]\sqrt{50.31}= 7.093[/tex]

Answer:

Surface area is the sum of all areas/faces of a solid, INCLUDING bases.

Lateral surface area is the surface area of a solid WITHOUT bases.

hope this helps :)

Answer:

16 and 25

Step-by-step explanation:

they are square numbers

1^2 = 1 .. etc.

this is a I

There is an error 2*2 is 4 lol realised I wrote tht whoops

★ 1st solve the given equation to find value of "s".

[tex]\sf{⇝4s+3=63} \\ \\ \sf{⇝arranging \: terms} \\ \\ \sf{⇝4s=63-3} \\ \\ \sf{⇝4s=60} \\ \\ \sf{⇝s=\cancel\frac{60}{4}} \\ \\ \sf{⇝s=15} \\ \\ [/tex]

★ substituting s= 15 to check whether the equation is true or not?

★ hence,the above equation is true !

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Answer: 18

Step-by-step explanation:

288 / 16 = 18

Answer:

C) 18 m

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the distributive property.

Use the foil method formula.

Distributive property:

⇒ A(B+C)=AB+AC

Foil method formula:

[tex]\Longrightarrow: \sf{(A+B)(C+D)=AC+AD+BC+BD}[/tex]

→ 2x*3x+2x*4-3*3x-3*4

Solve.

[tex]\Longrightarrow: \sf{2x*3x+2x*4-3*3x-3*4=\boxed{\sf{6x^2-x-12}}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

Step-by-step explanation:

6+3=9/50

9/50 x  100=18 percent

Answer:

3

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

an angle subtended by a chord to the center is twice to that subtended by the same chord to the circumference

Answer:

4, 8, 12, 13

In order to find the mean you must add all of the values together and then divide by the number of numbers. 4 + 8 + 12 + 13 = 37

Now we divide: 37 ÷ 4 = 9.25

So the mean is 9.25

Answer:

109

Step-by-step explanation:

the sum of 37 and 72 is equal to x

proof:  

37+72 = 109

three angles of a triangle form 180 degree

to find the angle which is not given,

180 - 109  = 71

as you can see, angle with the measure 71 degree and angle x form a straight line, which means their sum is 180

so,

x = 180 - 71

x = 109

that means ,

=>    37+72 = x

=>    109 = 109            [ 37+72 = 109, x = 109]

hope this helps :)

Answer:

Step-by-step explanation:

Find the value of x in this triangle .

We know that sum of all the interior angles of triangle is equal to 180° . Then ,

Therefore , Angle y = 71° .

Now , We know that Angle 3 and Angle 4 is equal to 180° because they are Linear pair . So ,

Therefore , value of Angle x is 109° .

Step-by-step explanation:

These are sides that will never meet and are always the same distance apart. Some shapes that have parallel sides include the parallelogram, the rectangle, the square, the trapezoid, the hexagon, and the octagon.