Store A sells a box of 8 pencils for $0.89. Store B sells a box of 12 pencils for $1.25. Which store sells the better deal? Tell the unit rate for each store (rounding to nearest cent)

Answer:

[tex]\displaystyle \frac{dy}{dx} = 4[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]  

Basic Power Rule:

Step-by-step explanation:

*Note:

Treat k as an arbitrary constant.

Step 1: Define

Identify

[tex]\displaystyle y = 4x + k[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

They have no relation, except for the fact that they intersect. If the equations were instead y = +5/4x - 1/2 and y = -4/5x + 2, or y = +4/5 + 2 and y = -5/4x -1/2, then they would be perpendicular.

Option 3 is the right answer.

Step-by-step explanation:

For the given lines y = -4/5x+2 and y = -5/4x - 1/2

we have to identify whether lines are parallel or perpendicular.

As we know if two lines are perpendicular then gradients of two lines will in the form of

m1 m2=(-1)

and if the lines are parallel then the gradients of the lines will be same.

m1=m2

Here m1 = -4/5 and m2 = -5/4

Therefore

m1m2=(-4/5)(-5/4)=(+1)

and  

m1≠m2

So both the lines are neither parallel nor perpendicular to each other.

Option 3 is the right answer.

Answer:

Step-by-step explanation:

ABCD is a rhombus. If AB = 2x + 12 , AC = 7x - 3, ∠=12°, and ∠= (4y - 1)°.

CD = __ .

Answer:

x = 31

So 2x-7 = 55

x + 4 = 35

Step-by-step explanation:

[tex]2x-7+x+4=90\\3x-3=90\\3x=93\\x=31[/tex]

Answer:

GHK = 28

Step-by-step explanation:

Angle GHK and angle JHI are vertical angles

Vertical angles are congruent so

Because angle JHI = 28 then angle GHK also equals 28

Answer:

The GHK is 28

Step-by-step explanation:

Answer:

here is the step by step factorization process

Answer:

3x+6

Step-by-step explanation:

inverse means the opposite of the sign and the opposite of subtraction is addition so I used addition

The additive inverse of 3x − 6 is -3x + 6

The additive inverse of a number x is a number that when added to x gives a result of 0.

For the expression 3x - 6

The additive inverse is a number that can be added to the expression to get 0. Hence:

The additive inverse of 3x − 6 is -3x + 6

Find out more on additive inverse at: https://brainly.com/question/1097883

Answer:

(3,1) should be the answer

Step-by-step explanation:

Hope this helps!

The ordered pair at this point is (3,1)

Suppose the graph is drawn on the coordinate plane.

Let the shifting be (x,y) → (x+a, y+b)

Then, add 'a' to all x coordinates of the graph's points. Add 'b' to all y coordinates of the graph's points.

The resultant set of new points will be plotted.

Given;

From origin; move to right 3units

                     move upward 1unit

Moving to right 3units;

(0,0)= (3,0)

Move upward 1unit;

(3,0)= (3,1)

Therefore, the point on graph after shifts will be (3,1)

Learn more about graphs here:

https://brainly.com/question/26254258

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1) 56 students

2) 92 students

3) 20 students

4) 16

5) 14

6) 164

Hope this helped!

Mark brainliest if you want<3

Answer: 72π meters squared.

Step-by-step explanation: Given that the radius is 6 meters, use the sphere surface area formula to find the surface area of the half-sphere;

Answer:

Step-by-step explanation:

A-Yes

B-No

C-Yes

D-Yes

E-Yes

If consider the Pythagorean Theorem and its converse. A, C, D, and E are correct statements.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

In this case, statement A is correct because 6, 8, and 10 are possible side lengths for a right triangle.

Statement B is incorrect because 10, 15, and 20 are not possible side lengths for a right triangle.

Statement C is correct because the Pythagorean Theorem works only for sides of a right triangle.

Statement D is correct because if the sides of a right triangle are of lengths 8 and 15, its hypotenuse is 17.

Statement E is correct because the converse of the Pythagorean Theorem allows us to calculate the side lengths of right triangles.

Thus, the correct statements would be options A, C, D, and E.

Learn more about Pythagoras's theorem here:

brainly.com/question/343682

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Answer:

x2−x−6

Step-by-step explanation:

Answer:

(x-3)(x+2)

Step-by-step explanation:

Answer:

The slope is -1/2 and the y intercept is 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Break down the figure into a circle of diameter 7 and an 11 by 7 rectangle.

Area of circle = π3.5² = 12.25π ≈ 38.48 square meters

Area of rectangle = 11*7 = 77 square meters

Total area = 38.48+77 = 115.48 square meters

Answer:i think it’s G

Step-by-step explanation:I used Photomath for graphing

Answer:

G

Step-by-step explanation:

I did it and got it right

Answer:

49.65$

Step-by-step explanation:

(20.40 x 2) + 8.85 = 49.65 $

Answer:

it will take 4 months

Step-by-step explanation:

Answer:

What are u asking for its just a pic

Step-by-step explanation:

Answer:

#12

17.7....

#14

31.7...

Step-by-step explanation:

12.

tan-1 (25/78)

= 17.77132082

14.

sin-1 (10/19)

= 31.756856386

Answer:

(1 suptlimary)  ( 2. 41)     (3. alternate exterior)  (4. 149)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer: <FED , <DFE , <EDF

Step-by-step explanation:

Answer:

<FED

Step-by-step explanation:

I've done this problem before.

Answer:

B?

Step-by-step explanation:

Answer:

Therefore, option A,B and C cannot be the angles of triangles.

Step-by-step explanation:

Given that total angles in a triangle is 180° so you have to add up all the angles :

Option A,

45° + 45° + 45° = 135° (Not a triangle)

Option B,

60° + 75° + 35° = 170° (Not a triangle)

Option C,

60.5° + 59.5° + 59° = 179° (Not a triangle)

Option C,

65° + 60° + 55° = 180° (It is triangle)

Answer:

no this is wrong its souposed to be moved twice so it will look like this:

706.56

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

you divide 468 by 52

468/52 = 9

9

Step-by-step explanation:

468/52 = 9 tickets per person

Answer:

-1/3

Step-by-step explanation:

-1/2 is the answer and try to don't lose points next time.

Answer:

MK = 80

M= 10

K= 8                  

Answer:

w= -3, therefore the value of 9w-10= -37

Step-by-step explanation:

i hope this helps :)

Answer:

1200INCHES²

Step-by-step explanation:

the formula for the area of rectangle and rhombus is same so l*b will work....120*10=1200