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The volume of the box as a polynomial is x³-48x²+560.

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Given that, a box is created from a rectangular piece of cardboard 20 centimetres by 28 centimetres by cutting a square from each corner and folding up the sides,

Volume of a cuboid = L*B*H

Volume = x(x-20)(x-28)

= x(x²-28x-20x+560)

= x(x²-48x+560)

= x³-48x²+560x

Hence, The volume of the box as a polynomial is x³-48x²+560.

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Answer:

x=8

Step-by-step explanation:

You would set them equal to each other to get 9x-13=6x+11.

You would them move 6x over so -6x on both sides. This would then get you 3x-13=11.

Then move the -13 over so add 13 to both sides to get 3x=24

Then get x by itself so divide by 3 to get x=24/3.

Then that simplified is 8

Answer:

The answer is 19.25

Step-by-step explanation:

Key skills needed: Fraction operations, decimal conversion

1) We are given the hint to use 9 as "b", and we get:

---> [tex]a = \frac{16}{8}(9) + \frac{10}{8}[/tex]  

Let's do  [tex]\frac{16}{8}(9)[/tex]

--> [tex]\frac{16}{8}[/tex] is the same as [tex]16[/tex] ÷ [tex]8[/tex]

16 divide by 8 is 2.

2) This means that it would be  ---> [tex]2(9)[/tex]  which is simply 2 times 9.

2 times 9 = 9 + 9 = 18

3) With that result, it would be  ---> [tex]a = 18 + \frac{10}{8}[/tex]

Now, do [tex]\frac{10}{8}[/tex] (10 divided by 8)  ---> Get 1.25

4) 18 + 1.25 = 19.25, so --> [tex]a = 19.25[/tex] is the answer

Hope you understood and have a nice day!!   :D

Answer:

The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. polynomials with real coefficients are included in this since every real number is a complex number with its imaginary part equal to zero.

Can I please get brainliest?

Answer:

It is non-constant variable polynomial with in depth coefficients and an in depth root.

Step-by-step explanation:

Answer:

function 2

Step-by-step explanation:

Answer:

Function 2

Step-by-step explanation:

Answer:

[tex]9\pi \: \mathrm{ft^2\:or}\: 28.27 \mathrm{\: ft^2}[/tex]

Step-by-step explanation:

The area of a circle is given by [tex]r^2\pi[/tex] where [tex]r[/tex] is the radius of the circle. The diameter is given as [tex]6[/tex] feet, so the radius of this circle is [tex]\frac{6}{2}=3[/tex] feet.

Plugging in our values, we get:

[tex]3^2\pi=9\pi\approx28.27[/tex].

Step-by-step explanation:

the answer is explained above

Answer:

[tex]\displaystyle m=0.6[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (0, 0)

Point (2, 1.2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Step-by-step explanation:

Distance traveled in 10 hours = 5,000 miles

Distance travelled in 3 hours = 5,000 * (3/10)

= 1,500 miles.

Hence the airplane travelled 1,500 miles in 3 hours.

Step-by-step explanation:

Assuming it traveled at a constant speed, you can set up a proportion

[tex] \frac{5000}{10} = \frac{x}{3} [/tex]

X = (3*5000)/10

X = 1500 miles

Answer:

a≤9

Step-by-step explanation:

Answer:

a ≤ 9

Step-by-step explanation:

2a-5 ≤ 13

add +5 then divide both sides by 2 to isolate the variable

step 1: 2a-5+5 ≤ 13+5 → 2a ≤ 18

step 2: 2a/2 ≤ 18/2 → a ≤ 9

Answer:

28cm

Step-by-step explanation:

7x4

or

7+7+7+7

Answer:

y = 1/5x + 5

Step-by-step explanation:

If you plot (5,6) on a graph, and count down 1 point, and over to the left 5 points, you will get to the y-axis. Then, the point that is on the y-axis is the y-intercept. That is 5. The 5 goes at the end of the equation.

Answer:

13 miles

Step-by-step explanation:

you can go down and to the right or to the left and down but either way it takes 13 miles from her house to Trader Joe's.

Answer: 16.2 is the answer

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

If there's a repitition in the X values of the pair   (x,y), it is not a function.

Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon.

Step-by-step explanation:

360/2 = 180

therfore it has 180 sides

Answer:

She will pay $30.8448.

Step-by-step explanation:

Consider the provided information.

The price of the sweater is $90.

She gets a discount of 30% it means she needs to pay only (100-30)%=70% of $90.

70% of $90 = [tex]0.7\times 90 = 63[/tex]

Now she gets a discount of 20% it means she needs to only 80% of $63.

[tex]0.8\times 63=50.4[/tex]

If she gets a discount of 10% on $50.4 it means she needs to pay 90% of 50.4

[tex]0.9\times 50.4=45.36[/tex]

If she gets a discount of 15% on 45.36 it means she needs to pay only 85% of 45.36

[tex]0.85\times 45.36 =38.556[/tex]

Now she gets an additional 20% holiday Bones Buck discount it means she needs to pay 80% of 38.556

[tex]0.8\times 38.556=30.8448[/tex]

Hence, she will pay $30.8448.

Step-by-step explanation:

x-25= 6x-5

-5x = 20

x=-4

Those integers are {-1,0,1,2,3,4} (integers in the range -2 and 4)

The integer values of x that satisfy the given inequality are {-2, -1, 0, 1, 2, 3, 4}.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is -2<x≤4.

The integer values of x that satisfy the inequality are

{-2, -1, 0, 1, 2, 3, 4}

Therefore, the integer values of x that satisfy the given inequality are {-2, -1, 0, 1, 2, 3, 4}.

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Answer:

(-7,-3)

Step-by-step explanation:

You keep the -3 since that is the y but the x will become negative because you are reflecting to the left and not the right, making the x then negative.

Answer: (-7,-3)

Step-by-step explanation:

The point (7,-3) is located in the fourth quadrant  mean that if you reflect the point across the  y a-xis, it should end up in the third quadrant.

If you flip a point over the y axis, the x coordinate switches.

(7,-3) ⇒ (-7,-3)

Answer:

Trevor is just under halfway through his homework

Step-by-step explanation:

The following information is given in the question

Trevor has completed 5 of his 12 homework problems

So here the total number of homework is 12

And, out of them trevor has completed 5

So if we do the half of 12 than it would come 6

This means that trevor just under halfway the homeowrk

Therefore the last option is correct

Answer:

OMG

Step-by-step explanation:

qt zihmir yt

Answer:

thanks for the points I maybe check your yt.

Step-by-step explanation:

Answer:

4 X -11

-44

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Answer:

-44

Step-by-step explanation:

Basically It's like 4x11, but you put a negative sign.

Answer:

y=-4+5x

Step-by-step explanation:

To get y by itself you need to move the -10x to the other side, to do that you need to add 10x on both sides

2y-10x+10x=-8+10x

Simplify and you will get 2y=-8+10x

Now divide everything by 2

2y/2=-8/2+10x/2

Simplify and you will get y=-4+5x

Step-by-step explanation:

3√(x - 4) + 7 = -14

3√(x - 4) = -21 (subtract 7 from both sides)

√(x - 4) = -7 (divide 3 on both sides)

However √y is non-negative for all values of y in the domain of √y.

Hence there is no real solution for x.

Answer:

Step-by-step explanation:

low 2 high 13