Dan is buying pencils and erasers from the store. Pencils come in packages of 6, but erasers are sold in packages of 9. If Dan wishes to purchase the same number of pencils as erasers, what is the smallest number of erasers that he can buy?​

Looks like the equation is

[tex]g(x) + x \cos(g(x)) = x^3[/tex]

Differentiate both sides with respect to x, using the chain rule on the left side:

[tex]g'(x) + \cos(g(x)) - x \sin(g(x)) g'(x) = 3x^2[/tex]

Solve for g'(x) :

[tex]g'(x) (1 - x \sin(g(x))) = 3x^2 - \cos(g(x)) \\\\ g'(x) = \dfrac{3x^2 - \cos(g(x))}{1 - x \sin(g(x))}[/tex]

When x = 0, we have

[tex]g'(0) = \dfrac{0-\cos(g(0))}{1-0\sin(g(0))} = \boxed{-\cos(g(0))}[/tex]

(This is all you can say without providing the value of g (0).)

Answer:

1768 gallons will be left

Step-by-step explanation:

its far too long I worked so hard pls brainliest

.................

22

Step-by-step explanation:

fx is the addition of all the digits which are present in the column of the table called fx

Answer:

I'm pretty sure it is B

Step-by-step explanation:

Answer:

1020 Even

Step-by-step explanation:

541+479=1020 Ends in 0 ... even

Answer:

1020 even

Step-by-step explanation:

571 + 479

Answer:

a

Step-by-step explanation:

Answer:

range = 36

Step-by-step explanation:

The range is the difference between the maximum value and the minimum value. So the approximate max value is 44, and approx min value is 8, 44-8=36. Hope that helped :)

Answer:

426

Step-by-step explanation:

Answer:

they did the subtraction wrong it should be addition

Step-by-step explanation:

Answer:

y=32

Step-by-step explanation:

[tex]\frac{3}{2} y=48[/tex]

[tex]\frac{2}{3}[/tex]•[tex]\frac{3}{2} y[/tex]=[tex]\frac{2}{3}[/tex]•[tex]48[/tex]

[tex]\frac{1}{3}[/tex]•[tex]3y=\frac{2}{3}[/tex]•[tex]48[/tex]

[tex]y=\frac{2}{3}[/tex]•[tex]48[/tex]

[tex]y=2[/tex]•[tex]16[/tex]

y=32

Si hacen un reparto directamente proporcional a los capitales aportados, a María le corresponden $4444,44, a Pepe $5555,55, a Ana $6666,66 y a Miguel $13333,33.

Dado que María, Pepe, Ana y Miguel crean una empresa en sociedad aportando un capital inicial de 4.000, 5.000, 6.000 y 12.000 dólares, respectivamente, y las utilidades netas en el primer año fueron de 30.000 dólares, para determinar qué cantidad corresponde a cada uno si hacen un reparto directamente proporcional a los capitales aportados se debe realizar el siguiente cálculo:

Por lo tanto, si hacen un reparto directamente proporcional a los capitales aportados, a María le corresponden $4444,44, a Pepe $5555,55, a Ana $6666,66 y a Miguel $13333,33.

Aprende más en https://brainly.com/question/21892145

Answer:

96

Step-by-step explanation:

120/1.25=96

Answer: [tex]f= \frac{ C -4h -5p }{7}[/tex]

Isolate f

Subtract 5p from both sides

Subtract 4h from both sides

Divide both sides by 7

Answer:

let's call the entire length of the foot race we are looking for:  d

for distance.

We can then rewrite this problem as:

One-third of  d

is 5 miles. What is  d .

When dealing with fractions in this way the word "of" means to multiply. So we can write this problem in algebraic form as:

1 3 × d = 5

We can multiply each side of the equation by  

3  to solve for  d

while keeping the equation balanced:

3 × 1 3 × d = 3 × 5

3 3 × d = 15  1 × d = 15 d = 15

The length of the race is 15 miles.

Step-by-step explanation:

hope this helps

Answer:

Solution: (3, 2)

Step-by-step explanation:

It's easier to graph when the equation of the lines are in their slope-intercept form, y = mx + b.

x - 3y = -3

-3y = -x - 3

Divide both sides by -3:

[tex]\frac{-3y}{-3} = \frac{-x - 3}{-3}[/tex]

y = 1/3x + 1

where slope = 1/3

y-intercept = 1

x + y = 5

Subtract x from both sides to isolate y:

x - x + y = - x + 5

y = -x + 5

where slope = -1  

y-intercept, 5

I started by graphing the y-intercepts of each line. Then, I used the slope of each linear equation (rise over run) to plot the next points on the graph. In the attached screenshot of the graph, x - 3y = -3 is the blue line, while x + y = 5 is the green line. Their intersection occurs at point, (3, 2).

Therefore, the solution is (3, 2).

Please mark my answers as the Brainliest if you find my explanations helpful :)

Answer:

below

Step-by-step explanation:

A) 3x+2y=31 is line perpendicular with 2x-3y=12, slope= -3/2 vs 2/3 and intersect at (9 ,2)

B) 6x-9y=11 parallel to 2x-3y=12, has same slope of 2/3, no intersect

C) they have "positive type of slopes" to form parallel lines

9514 1404 393

Answer:

  A) (x, y) = (9, 2)

  B) no solution

  C) the same slope

Step-by-step explanation:

A) In the attached, the given equation is graphed in red. The paired equation is shown in blue. They intersect at the point (9, 2), which is the solution to this system of paired equations.

__

B) The line is parallel to its paired line, so there is NO SOLUTION.

__

C) Parallel lines have the same slope.

_____

Additional comments

A graphing calculator provides a quick and easy solution to a system of equations. There are many calculators and apps and on-line sites that can solve a system of equations for you.

For the pair of equations in part A, you can eliminate the y-variable by adding 2 times the first equation to 3 times the second equation:

  2(2x -3y) +3(3x +2y) = 2(12) +3(31)   ⇒   13x = 117   ⇒   x = 9

Substituting in the first equation gives ...

  2(9) -3y = 12   ⇒   6 -y = 4   ⇒   y = 2

__

For the paired equation in part B, the ratio of the x- and y-coefficients is 6/-9 = -2/3, the same as it is for the given equation. The constants are different (even after dividing the second equation by 3), so the lines are parallel (not coincident). This means the system of paired equations has no solution.

For 9 Kg ground ginseng needed =304.7

For  9 Kg golden chai needed =146.2

For the blend =225.5

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

given:

The blend, which costs $25.05 per kilogram.

For 9 Kg ground ginseng needed = 33.85* 9 =304.65 = 304.7

For  9 Kg golden chai needed = 16.25 * 9= 146.25=146.2

For the blend = 25.05 * 9= 225.45=225.5

Learn more about Unitary method here:

https://brainly.com/question/22056199

#SPJ2

9514 1404 393

Answer:

  3. yes: a[1] = -8, a[n] = a[n-1] +7; an = -8 +7(n -1)

  4. no (no common difference)

Step-by-step explanation:

An arithmetic sequence is one in which each term has the same difference from the term before it.

__

3. -1 -(-8) = 7; 6 -(-1) = 7; 13 -6 - 7. The differences are all 7, so the terms have a common difference. This sequence is arithmetic.

The general form of the recursive rule for an arithmetic sequence with first term a1 and common difference d is ...

  a[1] = a1; a[n] = a[n-1] +d . . . . . recursive rule

  a[1] = -8; a[n] = a[n-1] +7

The general form of the explicit rule for an arithmetic sequence is ...

  an = a1 +d(n -1)

  an = -8 +7(n -1)

__

4. The differences are ...

  8 -1 = 7; 27 -8 = 19; 81 -27 = 54 . . . the differences are not common

This sequences is not arithmetic.

Step-by-step explanation:

option A has the same value to that equation.

hope this helps you.

Answer:

a)-10-3

Step-by-step explanation:

-10+(-3)

=-13

-10-3

=-13

Answer:

completa la oracion!!!

etaStep-by-step explanation:

Answer:

a) a +b= 13, ab= 40

b) length= 8m, width= 5m

Step-by-step explanation:

Perimeter of rectangle= 2(length +width)

Area of rectangle= length ×width

a) Perimeter= 26m

2(a +b)= 26

Divide both sides by 2:

a +b= 26 ÷2

a +b= 13 ----- (1)

Area= 40m²

ab= 40 ----- (2)

b) From (1): a= 13 -b ----- (3)

Substitute (3) into (2):

(13 -b)(b)= 40

Expand:

13b -b²= 40

b² -13b +40= 0

Factorise:

(b -5)(b -8)= 0

b -5= 0 or b -8= 0

b= 5 or b= 8

Substitute into (3):

a= 13 -5 or a= 13 -8

a= 8 or a= 5

Since the length is usually the longer side of the rectangle, the length and the width of the rectangular garden is 8m and 5m respectively.

Answer:

Step-by-step explanation:

Perimeter = 2length + 2 width

   2a + 2b = 26 m

Divide the equation by 2

[tex]\dfrac{2a}{2}+\dfrac{2b}{2}=\dfrac{26}{2}\\\\[/tex]

a + b  = 13         --------------(I)

a = 13 -b

Area = length *width

a*b = 40 sq.m

ab = 40   ----------------(II)

Plugin a = 13 -b in the equation (II)

(13 - b)*b = 40

13*b - b*b = 40

13b - b² = 40

0 = 40 + b² - 13b

b² - 13b + 40 = 0

Sum = - 13

Product  = 40

Factors = (-8) , (-5)      {-8 + (-5) = -13 & (-5)*(-8) = 40}

b² - 8b - 5b + (-8)*(-5) = 40

b(b - 8) - 5(b - 8)= 0

( b - 8) (b - 5) = 0

b - 8 =0     ; b -5 =0

b= 8   ; b = 5

Length = 8 cm

Width = 5cm

vertex: (-2,-4)

axis of symmetry: x = -2

hope this helps :)

345$234$45% peo code ####

Answer:

27.825

Step-by-step explanation:

Sure!

To turn a fraction into a decimal you simply divide 33 by 40. The whole number - 27 - can stay.

27 33/40 = 27 + (33/40)

= 27 + 0.825

= 27.825

Mark brainliest if possible, have a nice day!

Answer:

7.56

Step-by-step explanation:

14x.50(the remainder after you subtract the percent from 100) = 7

8% of 7 is 0.56

7+0.56=7.56

Answer:

30 Percent  

Step-by-step explanation:

Answer:

The Answer will be 25%.

Answer:

Step-by-step explanation:

Interior angles of ΔABE are:

Sum of interior angles is 180°: