A baker is folding up open-topped boxes to package up her baked goods. She has

flat, rectangular pieces of cardboard that are 10 inches by 6 inches. She wants to

maximize the volume of the box. What size squares should she cut from the corners

of the cardboard?

-3x+12x

Divide it all by three

-x+4x

Answer:

The answer is 9x

Step-by-step explanation:

-3x + 12x

12x - 3x = 9x

Answer:

the answer is ​

x=±3,±√​2

​

​​ ı

Step-by-step explanation:

(x​^2−9)(x​2+2)=0

Step-by-step explanation:

U=ar^(n-1)

r=6/2=3

a=2

U=2(3)^n-1=6^n-1

[tex]\text{Simplify:}\\\\(3x^2-4x+2)-(2x^2-4x-5)\\\\3x^2-4x+2-2x^2+4x+5\\\\x^2-4x+2+4x+5\\\\x^2+2+5\\\\x^2+7\\\\\boxed{\text{Two terms}}[/tex]

Answer:

functions f(x) and g(x) share one root in common that of x=2 and each have another different root

Step-by-step explanation:

Notice that function g(x) has for roots the values x = -1 and x = 2, (these are the crossings of the x axis that you see in the graph)

On the other hand, the function f(x) has two roots that are obtained by factoring it out:

[tex]f(x)=x^2+x-6\\f(x)= x^2-2x+3x-6\\f(x)=x(x-2)\,+\,3(x-2)\\f(x)=(x-2)\,(x+3)[/tex]

Therefore it has roots at x=2 and x= -3

So functions f(x) and g(x) share one root in common that of x=2 and each have another different root

Answer:

Speed = 410 miles/hour

Step-by-step explanation:

Speed = Distance / Time

Distance = 1640 miles, Time = 4 hours

Speed = 1640/4

Speed = 410 miles/hour

Answer:

3:11 and 6:22

Step-by-step explanation:

Answer: 2:14, 12:6, and 2:1

Step-by-step explanation:

2:1 and 12:6 are equal because you can multiply the 2 and 1 in 2:1 by 6 to get to 12:6.

But 2:14 is not equal to the ratio 2:1, because you can't multiply 2 and 1 to any one number to equal the ratio 2:14.

Answer:

(a) 11.64%

(b) 8.15%

Step-by-step explanation:

Airborne airlines has an annual interest of payment= $102

Principal payment= $1,000

Time to maturity= 20 years

Current price of the bond= $880

The formular for calculating the yield on maturity is

[ Annual interest payment+Principal payment-(price of the bond/number of years to maturity)] / 0.6(price of the bond) + 0.4(principal payment)

(a) [102+(1000-880)/20)]/ [0.6(880) + 0.4(1000)]

= [102+ (120/20)]/ [528+400]

= [102+6]/ 928

= 108/928

= 11.637%

= 11.64% ( to 2 decimal places)

(b) Kd= Yield(1-T)

Kd= 11.64(1-0.30)

Kd= 11.64×0.7

Kd= 8.145%

Kd= 8.15%( to 2 decimal places)

Hence the yield to maturity on the new issue is 11.64% and the aftertax cost of debt is 8.15%

Answer:

[tex]\£8:\£32[/tex]

Step-by-step explanation:

[tex]\frac{40}{1+4}[/tex]

[tex]\frac{40}{5}[/tex]

[tex]=8[/tex]

[tex]1:4[/tex]

[tex]1 \times 8:4 \times 8[/tex]

[tex]8:32[/tex]

Answer:

Tim gets £8

Sam gets £32

Step-by-step explanation:

Ratio is 1:4

So, Total parts are 1+4 = 5

Dividing it by total parts

= [tex]\frac{40}{5}[/tex]

= £ 8

So, Tim gets £8

But,

Sam gets 4(£8)

= Sam gets £32

Answer:

180 pages

Step-by-step explanation:

Answer: 180 pages

Step-by-step explanation:

Let the equation be

x - 7/9x = 40

9x - 7x = 360

x = 360 / 2 = 180

The book has total 180 pages

Means he has read (180 - 40) = 140 pages

Hello!

The cost of the book is $150.

CP = [tex]\frac{SP(100)}{100 + PP}[/tex]

Basically, what this formula is saying is that to find the cost price (CP), we must multiply the sale price (SP) by 100, and divide the product by the sum of 100 + profit percentage (PP).

CP = [tex]\frac{180(100)}{100 + 20}[/tex]

CP = [tex]\frac{18000}{120}[/tex]

CP = 150

Answer:

$150

Step-by-step explanation:

let cp=x

(20/100*x) +x=180

1/5x+x=180

6x/5=180

6x=180*5

x=(180*5)/6

x=150

Answer:

A

Step-by-step explanation:

49-45 = 4 wrong

4/49 = 0.08163

        = 8.16%

Answer:

A) 8.16

Step-by-step explanation:

1) Subtract 49-45

2) Divide 4/49 and multiply by 100

3) Then multiply by 100

Hope this helped

Answer:

x = 4.5 or rounded 5

Step-by-step explanation:

Because they are equal you can make the equation:

x/2 = 18/8

this means that 8 divided by 2 equals (4)

what 18 divided by x is (4)

this means 4 times x = 18

4x = 18

/4    /4

x = 4.5 ft

Answer:

(x+3)(x-3)

Step-by-step explanation:

It is a difference of squares so it is sqrt of x^2 gives x and sqrt of 9 gives +3, -3.  So we get (x+3)(x-3).

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the line first find the slope

Slope of the line using points

(-2,2)and(-3,-9) is

[tex]m = \frac{ - 9 - 2}{ - 3 + 2} = \frac{ - 11}{ - 1} = 11[/tex]

Then use the formula

y - y1 = m(x - x1)

where

m is the slope

( x1 , y1) can be any of the points

Equation of the line using point (-2,2) and slope 11 is

y - 2 = 11 ( x + 2)

y - 2 = 11x + 22

11x - y = - 2 - 22

We have the final answer as

Hope this helps you

Answer:

-6/7

Step-by-step explanation:

5-6x=8x+17

-8x -8x

5-14x =17

-5 -5

-14x =12

/-14 /-14

12/-14 = -6/7

Answer:

6a^5

Step-by-step explanation:

3a^2*2a^3

3×2+a^2×a^3

6a^5

Answer:

The answer is 6a⁵.

Step-by-step explanation:

You have to use Indices Law,

[tex] {a}^{m} \times {a}^{n} \: ⇒ \: {a}^{m + n} [/tex]

So for this question :

[tex]3 {a}^{2} \times 2 {a}^{3} [/tex]

[tex] = (3 \times 2) \times ( {a}^{2 + 3}) [/tex]

[tex] = 6 \times {a}^{5} [/tex]

[tex] = 6 {a}^{5} [/tex]

Answer:

create a graph

Step-by-step explanation:

you have to make a line on the graph using the function

Answer:

A circular test track for cars has a circumference of 3.5km . A. car travels around the track from the southernmost point to the.

Step-by-step explanation:

Step-by-step explanation:

4x-7=-2x+12

Add 2x

6x-7=12

Add 7

6x=19

Divide 6

x = 19/6

19/6 = 3 1/6

x = 3 1/6

Answer:

Answer:

T. S. A. =2πrh+2πr2

V=Bh

V = Base×h

V= (lw) × h

V= lwh

Answer:

5 ounces

Step-by-step explanation:

Mr. Landry prepares 30 pounds of cake batter each morning and he uses half of the cake batter to make large cupcakes.

This means that he uses 15 pounds of cake batter.

He makes 48 cupcakes with the batter.

Therefore, the number of pounds of batter he uses per cake is:

15 / 48 = 0.3125 pounds

We have to convert it to ounces.

1 pound = 16 ounces

=> 0.3125 pounds = 16 * 0.3125 = 5 ounces

He uses 5 ounces of cake batter for each cake.

Answer:

5 ONCES

Step-by-step explanation:

sry i had caps on but i did the math

Answer:

– 21x^3 y – 9x^2 y^2 e) is your answer

Step-by-step explanation:

Solve the following system for A and B:

{A = 7 x^2 + 3 x y

B = -3 x y

Express the system in matrix form:

(1 | 0

0 | 1)(A

B) = (7 x^2 + 3 x y

-3 x y)

Write the system in augmented matrix form and use Gaussian elimination:

(1 | 0 | 7 x^2 + 3 x y

0 | 1 | -3 x y)

Collect results:

Answer: {A = 7 x^2 + 3 x y  , B = -3 x y

then we multiply the results (7 x^2 + 3 x y) ( -3 x y) =  – 21x^3 y – 9x^2 y^2

Answer: Since it is not a perfect square my answer is the square root of 261 or 16.16  which is rounded to the nearest hundredth.

Step-by-step explanation:

10^2 + b^2 = 19^2

100  + b^2 =  361

-100              -100

b^2 = 261

b= [tex]\sqrt{261}[/tex]

Yes, with sides 8,9 and 12 triangles can be formed.

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

From the triangle property, the sum of the two sides of the triangle should be greater than the third side.

From the given data the sum of the two sides is greater than the third side.

8 + 9 > 12

17 > 12

Hence, with sides 8,9 and 12 triangles can be formed.

To know more about triangles follow

https://brainly.com/question/17335144

#SPJ2

Answer:

D

Step-by-step explanation:

Distributing the factors we get

-8x^2 -6x +35

Answer:

option c is correct

Step-by-step explanation:

please mark me brainlest

please thanks

Answer:

Step-by-step explanation:

Answer is C.  0.132