The variables A, B, and C represent polynomials where A = x2, B = 3x + 2, and C = x - 3. What is AB - C in simplest form?

Answer:

[tex]-72x^8[/tex]

Step-by-step explanation:

=> [tex](-2x^2)^3*(-3x)^2[/tex]

=> [tex]-8x^6*9x^2[/tex]

=> [tex](-8*9) *(x^6x^2)[/tex]

When bases are same powers are to be added

=> [tex](-72)(x^{6+2})[/tex]

=> [tex]-72x^8[/tex]

Answer:

[tex]- 72x^{8}[/tex]

Step-by-step explanation:

[tex]( - 2x^2 )^3 \times ( - 3x )^2[/tex]

Distribute the exponents to the brackets.

[tex]( - 2^3x^{2\times 3} ) \times ( - 3^2x^2 )[/tex]

[tex]( - 2^3x^{6} ) \times ( - 3^2x^2 )[/tex]

[tex]( - 8x^{6} ) \times ( 9x^2 )[/tex]

[tex]- 8 \times x^{6} \times 9 \times x^2[/tex]

[tex]- 8 \times 9 \times x^2 \times x^{6}[/tex]

Multiply like terms and add exponents with same bases.

[tex]- 72 \times x^{2+6}[/tex]

[tex]- 72 \times x^{8}[/tex]

Answer:

6 sticks for the pattern of number 6

3 sticks for the pattern of number n

Step-by-step explanation:

Please check the attached picture.

This is a standard way to create number 6 and number n from sticks.

Hope this helps!

Answer:

see explanation

Step-by-step explanation:

(a)

Record the number of sticks and look for a pattern

1 → 6 sticks

2 → 10 sticks

3 → 14 sticks

There is a difference of + 4 between each pattern, thus add 4 to the previous pattern , that is

4 → 14 + 4 = 18

5 → 18 + 4 = 22

6 → 22 + 4 = 26

That is there are 26 sticks in pattern number 6

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(b)

Multiplying the pattern number (n) by the difference 4 gives

4 × 1 = 4 ← require to + 2 for 6

4 × 2 = 8 ← require to + 2 for 10

4 × 3 = 12 ← require to + 2 for 14

Thus pattern number n would have

sticks = 4n + 2

Answer:

log base 10 of 40/9, log(40/9), or 0.6478

Step-by-step explanation:

Easiest and fastest way to do this is to plug it into the calc because the log base 10 of those numbers given will be nasty decimals.

Answer:

[tex]-\frac{4}{5} OR -0.8[/tex]

Step-by-step explanation:

Answer:

It is C (4,3). Hope it helps.

Answer:

C. (4,3)

Step-by-step explanation:

To find the midpoint you must individually add the X's and the Y's and divide by 2. For example in this case, -2+10=8 divide by 2 and get 4. Then 3+3=6 divide by 2 is 3. It's that simple.

Answer:

Answer is option a) x = 4 ±√5

Step-by-step explanation:

[tex]given \: equation \: is \\ {(x - 4)}^{2} = 5 \\ taking \: sqareroot \: on \: bot \: sides \\ x - 4 = ± \sqrt{5 } \\ x = 4± \sqrt{5} [/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

Step-by-step explanation:

Given that:

4x + 5x = $440

9x = $440

x = $49 (Approx.)

So, she received :

from the stock = 4 x 49 = $196

from the bond = 5 x 49 = $245

SO, now, how much did she invest ?

Answer:

Step-by-step explanation:

Let x represent the amount invested at 4% and y the amount at 5%.  Then x + y = 1000.  

Then:

0.04(1000 - x) + 0.05x) = 440 (total interest)

Then:

40 - 0.04x + 0.05x = 440, or

0.01x = 400, or

x = 40000 (not possible, because the principal is only $1000.

Something's wrong here.  Double check to ensure that you've copied the problem down correctly.

Answer:

y = 14

Step-by-step explanation:

y ∝ [tex]\frac{1}{x}[/tex]

=> y = [tex]\frac{k}{x}[/tex]     -------------(1)

Where k is the constant of proportionality

Now,

x = 7, y = 4

Putting in (1)

4 = [tex]\frac{k}{7}[/tex]

So,

=> k = 28

Now y = ? when x = 2

Putting x and k in (i)

y = [tex]\frac{28}{2}[/tex]

y = 14

Answer:

[tex]y=14[/tex]

Step-by-step explanation:

[tex]y \propto 1/x[/tex]

[tex]y=k/x[/tex]

[tex]4=k/7[/tex]

[tex]4 \times 7 = k[/tex]

[tex]28=k[/tex]

[tex]y=28/x[/tex]

[tex]y=28/(2)[/tex]

[tex]y=14[/tex]

Answer:

slope is undefined

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = (-4 -1)/(8-8)

     = -5/0

We cannot divide by zero so the slope is undefined

Answer:

Slope is undefined .

Step-by-step explanation:

        y2 - y1

m =   ---------------  

         x2 - x1

           -4 - 1             -5

m =   ---------------  =  ----- -  = 0

            8 - 8             0

Answer:

4x+12

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = (x+3) *4

Distribute

A = 4x+12

Answer:

30° each

Step-by-step explanation:

Complementary angles are those that add up to 90° so if they are all equal then it's

90/3=30°

Answer: 30° each

Complementary angles are those that add up to 90° just to remind you!!

Answer:

256in²

Step-by-step explanation:

Just add the area the two Rectangals = A=128*2 = 256in² or calclute the whole and deduct the 2 missing sqares 16

384-128=256in²

0.96176920308

Answer:

V = πr^2h

V = 40π m^3

Step-by-step explanation:

volume of a cylinder

V = Bh,

where B = area of the base

When the base is a circle, then the area of the base is

B = πr^2

Then the volume of the cylinder is

V = πr^2h

You are given the radius is 2 m, and the height is 10 m, so you have

r = 2 m, and h = 10 m

V = π(2 m)^2(10 m)

V = π(4)(10) m^3

V = 40π m^3

Answer:

40

Step-by-step explanation:

just got it right

Answer:

933+x < 1500

Step-by-step explanation:

Let x be the next purchase

The first charge of 933 and the next purchase is less than 1500 dollars

933+x < 1500

Answer:

1500>933+c

Step-by-step explanation:

,............

Hey there! :)

Answer:

y = -3/2x - 6

Step-by-step explanation:

Begin by isolating the 'y' variable:

3x + 2y = -12

Subtract both sides by 3x:

2y = -3x - 12

Divide both sides by 2:

y = -3/2x - 6

Therefore, the equation in y = mx + b form is:

y = -3/2x - 6

Answer:

y= -1.5x-6

Step-by-step explanation:

In order to turn this equation into y=mx+b form, we need to move x to the other side.

Step 1 : Minus 3x on each side, leaving the equation into 2y=-12-3x

Step 2 : Now that we have everything on the right side, divide the equation by 2.

Step 3 : After dividing -12 and -3x, we are left with -6 and -1.5x (or -1/2x) which leaves us with y=-1.5x (OR -1/2x) - 6.

Answer:

150

Step-by-step explanation:

The terms in the sequence form an arithmetic sequence with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , thus

2 + 3(n - 1) = 449

2 + 3n - 3 = 449

3n - 1 = 449 ( add 1 to both sides )

3n = 450 ( divide both sides by 3 )

n = 150

Answer:

[tex]\frac{5x+1}{5}[/tex]

Step-by-step explanation:

Given Condition:

=> x+50%-30%

=> x+20%

=> [tex]x+ \frac{20}{100}[/tex]

LCM = 100

=> [tex]\frac{100x+20}{100}[/tex]

Taking 20 common

=> [tex]\frac{20(5x+1)}{100}[/tex]

=> [tex]\frac{5x+1}{5}[/tex]

Hope this helps!

Don't hesitate asking anything regarding this!

Answer: Graph C is correct

Step-by-step explanation:

The region below the dashed red line is y < 4/3x +2

The region below the solid purple line is y ≤ -1

The region below and left of the solid green line is y ≤ -3x

Answer:

C is correct

Step-by-step explanation:

Yes, most def

Answer:

Step-by-step explanation:

In the picture above

I hope it helps :)

Answer:

[tex] \sin(b) = \frac{12}{13} [/tex]

Answer:

g = 48 divided by 4

Step-by-step explanation:

Answer:

g=48/4

Step-by-step explanation:

this thing / mean divided

Answer:

Solution,

[tex]diameter = 5 \: cm \\ height = 30 \: cm \\ surface \: area \: of \: cylinder \\ = 2\pi \: r(h + r) \\ = 2 \times \frac{22}{7} \times 2.5(30 + 2.5) \\ = 5 \times \frac{22}{7} \times 32.5 \\ = 510.71 \: {cm}^{2} [/tex]

hope this helps...

Good luck on your assignment...

Answer :

Here,

Diameter = 5cm so, radius = 5/2 = 2.5

Height = 30 cm

Surface area of a cyclinder = 2πr(r+h)

= 2 × 22/7 × 2.5 ( 30 + 2.5 )

= 5  ×  22/7  ×  32.5

= 510.71 cm²

Answer:

58

Step-by-step explanation:

First, find the interior angle adjacent to the angle GFD.

180 - (34+24) = 180 - 58 = 122

Now, the exterior angle = 180 - 122 = 58

hope this helps

Answer:

D. a = 29, b = 16, c = 24, d = 30, e = 22

Step-by-step explanation:

got it right on edge

The number of students who like both algebra and geometry is 27.

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

The number of students who like both algebra and geometry is the intersection of A and G, denoted as A ∩ G.

The number of students who like algebra only is the difference between A and A ∩ G, denoted as A - A ∩ G.

The number of students who like geometry only is the difference between G and A ∩ G, denoted as G - A ∩ G.

The number of students who do not like either subject is the complement of the union of A and G with respect to U, denoted as U - (A ∪ G).

We are given that:

A = 45

G = 53

U = 75

U - (A ∪ G) = 6

Now,

U - (A ∪ G) = 6

75 - (45 + 53 - A ∩ G) = 6

27 = A ∩ G

Therefore,

The number of students who like both algebra and geometry is 27.

Learn more about the Venn diagram here:

https://brainly.com/question/1605100

#SPJ5

The complete question.

A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.

Find the number of students who like both algebra and geometry.

Answer: Amount in account after 3 years $513.52

Interest accrued in 3 years is $63.52

Step-by-step explanation:

450 x 4.5% = 20.25

Add to balance 20.25 + 450 = 470.25

470.25 x 4.5% = 21.16

Add to balance 21.16+470.25=491.41

491.41 x 4.5% = 22.11

Add to balance 22.11 + 491.41 = 513.52

Answer:

5 ft, I think

Answer: [tex]f(g(x))=25x^{2}+20x+2\\[/tex]

Step-by-step explanation:

(f·g)(x) also means f(g(x)).

So basically what we do is take the function g(x) and plug it into f(x) where ever there is the variable x.

[tex]f(g(x))=5(5x^{2}+4x)+2[/tex]

Now distribute the 5.

[tex]f(g(x))=25x^{2}+20x+2[/tex]

This is as simplified the equation gets as it is not factor-able.

Answer:

840 cm³

Step-by-step explanation:

Cut the prism into two cuboids.

The first cuboid has dimensions of 4 cm × 6 cm × 5 cm

The height is 4 cm, the width is 5 cm and the length is 6 cm.

The second cuboid has dimensions of 15 cm × 6 cm × 8 cm.

The height is 8 cm, the width is 6 cm and the length is 15 cm.

The formula for the volume of the cuboid is l×w×h.

Length × Width × Height

The first cuboid has a volume of:

4 cm × 6 cm × 5 cm

= 120 cm³

The second cuboid has a volume of:

15 cm × 6 cm × 8 cm

= 720 cm³

Add the volumes of the two cuboids.

720 cm³ + 120 cm³

= 840 cm³

The volume of the prism is 840 cm³.

Answer:

V = 840 cm³

Step-by-step explanation:

Let's Divide this prism into two rectangular Prisms

Prism 1:

Volume = [tex]Length * Width * Height[/tex]

V = 15 * 8 * 6

V = 720 cm³

Prism 2:

Volume = [tex]Length * Width * Height[/tex]

V = 4 * 5 * 6

V = 120 cm²

Whole Prism

V = 720+120 = 840 cm³