What is the simplest shape in Mathematics?

Answer:

[tex]T = 2w + 37[/tex]

Step-by-step explanation:

Let T represent the total amount of videos Rachel has after w weeks.

Rachel already owns 37 videos.

She purchases two more each week.

Therefore, after w weeks, the total amount of videos Rachel has can be represented by the expression:

[tex]2w+37[/tex]

Then the total after w weeks can be modeled by the equation:

[tex]T = 2w + 37[/tex]

Answer:

see explanation

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

The graph of g(x) is the graph of f(x) shifted up by 4 units

Answer: Choice A

2(2L + L)  = 42

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Explanation:

The length is L, which is some placeholder for a positive number.

The width is twice as much as this, so it's 2L

The perimeter is found by adding up the four sides (two of which are L, the other two are 2L)

So we have L+L+2L+2L = 2(2L+L) representing the perimeter.

Or we could use this formula

P = 2(L+W)

where L and W are the length and width respectively.

Either way, we end up with 2(2L + L) = 42

Answer:

42 = 2( l+2l)

Step-by-step explanation:

width = 2 length

Perimeter = 2 (l+w)

42 = 2( l+2l)

Divide each side by 2

42/2 = 2 (3l) /2

21 = 3l

Divide by 3

21/3 = 3l/3

7 = l

The length is 7

width is 2*l = 2*7 = 14

Answer:

(- 8, 8 ) and (- 4, 1 )

Step-by-step explanation:

The solution to a system of equations given graphically is at the points of intersection of the two

They intersect at (- 8, 8 ) and (- 4, 1 ) ← solutions

Answer:

x=12

Step-by-step explanation:

x/4 + 17 =20

Subtract 17 from each side

x/4 +17-17 =20-17

x/4 = 3

Multiply each side by 4

x/4 *4 = 3*4

x =12

Answer:

3(x+8y)

Step-by-step explanation:

3*x +3*8y

Factor out 3

3(x+8y)

Answer:

The center is (0,0) and the radius is 2

Step-by-step explanation:

The equation of a circle is

(x-h)^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

x^2+y^2=4

(x-0)^2 + (y-0)^2 = 2^2

The center is (0,0) and the radius is 2

18.75%

Step-by-step explanation:

600÷3200=0.1875

0.1875=18.75%

Answer:

18.75%

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

10=8

20=y

10*y = 8*20

10y= 160

y=16

Answer:

-5/2

Step-by-step explanation:

We can use the slope formula

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

   = ( -12 - 3)/(4 - -2)

   = (-12-3)/(4+2)

   -15/6

  -5/2

Answer:

-5/2

Step-by-step explanation:

(y2-y1)/(x2-x1) = -15/6 = -5/2

Answer:

the polygon above has 6 sides . It is a hexagon with 6 obtuse angles interior angles equal to 720° .

Answer:

the polygon above has 6 sides . It is a hexagon with 6 obtuse angles interior angles equal to 720° .

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

DO FOIL

-10d^4+(5+12)d^2s-6s^2=-10d^4+17d^2s-6s^2

Answer:

the first answer: -10a^4 + 17a^2s-6s^2

Step-by-step explanation:

Answer:

(5,-3) in the 4th quadrant

Step-by-step explanation:

Answer:

7/504

Step-by-step explanation:

there are 504 possibilities of your mom winning and 7 out of tjose are the odds of her winning.

Answer:

[tex]\approx 13.0[/tex]

Step-by-step explanation:

The Pythagorean theorem is a formula that relates the sides of a right triangle. This formula states the following:

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the legs or the sides adjacent to the triangle angle of the right triangle. Parameter (c) represents the hypotenuse or the side opposite the right angle of the right triangle. Substitute the given values into the formula and solve for the unknown:

[tex]a = 7\\b = 11[/tex]

[tex]a^2+b^2=c^2[/tex]

[tex]7^2+11^2=c^2[/tex]

Simplify,

[tex]7^2+11^2=c^2\\\\49 + 121= c^2\\\\170=c^2[/tex]

Inverse operations,

[tex]170=c^2\\\\\sqrt{170}=c\\\\\\c \approx 13.0384[/tex]

Answer:

-48/165

Step-by-step explanation:

Answer:

1. not continuous, as the function definitions deliver different function values at x=1 when approaching this x from the left and from the right side.

2.

2 = a + b

3.

0 = 2a + b

4.

a = -2

b = 4

Step-by-step explanation:

the function is continuous at a specific point or value of x, if the f(x) = y functional value is the same coming from the left and the right side at that point.

1. that means that for x=1

3 - x = ax² + bx

so,

3 - 1 = a×1² + b×1 = a + b

2 = a + b

we have to use a=2 and b=3

2 = 2 + 3 = 5

2 is not equal 5, so the assumed equality is false, so the function is not continuous there.

2. point 1 gave us already the working relationship between a and b.

2 = a + b

only if that is true, is the function continuous at x=1.

3. now for x=2

5x - 10 = ax² + bx

5×2 - 10 = a×2² + b×2 = 4a + 2b

10 - 10 = 4a + 2b

0 = 4a + 2b

0 = 2a + b

4. to find a and b to be continuous at both locations x=1 and x=2 both expressions in a and b must apply.

so, they establish a system of 2 equations with 2 variables.

2 = a + b

0 = 2a + b

a = 2 - b

0 = 2×(2-b) + b = 4 - 2b + b = 4 - b

b = 4

therefore

a = 2 - 4 = -2

5. I cannot draw a graph here.

just use now the function

3 - x, x < 1

‐2x² +4x, 1 <= x < 2

5x - 10, x >= 2

Answer:

Let the polynomial be f(x) = 5x – 4x^2 + 3

Now, for x = 2,

f(2) = 5(2) – 4(2)^2 + 3

=> f(2) = 10 – 16 + 3 = –3

Or, the value of the polynomial 5x – 4x^2 + 3 at x = 2 is -3.

Similarly, for x = –1,

f(–1) = 5(–1) – 4(–1^)2 + 3

=> f(–1) = –5 –4 + 3 = -6

The value of the polynomial 5x – 4x2 + 3 at x = -1 is -6.

Answered by GAUTHMATH

Answer:

x=2 => 5×2 - 4×2² + 3 = 10-16+3 = -3

x=-1 => 5×-1 - 4×(-1)² + 3 = -5 - 4 + 3 = -6

Step-by-step explanation:

is in the answer.

remember that squaring a negative number creates a positive result.

Answer:

y = 6

Step-by-step explanation:

If x = 1, then: 3 x 1 + y = 9 (first equation)

3 x 1 + y = 9

3 + y = 9

y = 9 - 3

y = 6

Answer:

A) R=1850-25t

B) 1700

C) 74

Answer:

Answer is 90 ways

Step-by-step explanation:

You multiply the members (30) by the number of positions (3) to get your answer

Answer:

29.83 ft

Step-by-step explanation:

First, you find the square root of 445, which is 21.09.

Then you use the Pythagorean theorem, which is a^2 + b^2 = c^2

because a and b are the same value you plug it in

21.09^2+21.09^2 = c^2

You end up getting:

c^2=889/5762

You then square root both sides to get:

c = 29.83, which is option 3

Answer:

-6

Step-by-step explanation:

2n can be the smallest integer, and 2n + 18 will be the largest integer.

The sum of this, divided by two, will result in the average/mean.

(2n + 2n + 18)/2 = 3

Multiply each side by 2:

(2n + 2n + 18)/2 ⋅ 2 = 3 ⋅ 2

2n + 2n + 18  =  6

Combine the like terms:

4n + 18 = 6

Subtract 18 from both sides:

4n + 18 - 18 = 6 - 18

4n = -12

Divide each side by 4:

4n/4 = -12/4

n = -3

Since we decided to go by 2n:

2n = 2(-3) = -6

Answer:

3D= -2

5D= -4

Step-by-step explanation:

3D = 2d -2

3d - 2d = -2

d= -2

5d =4d-4

5d - 4d = -4

d = -4

hope it will help you

Answer:

see image...

the three makes it "taller", the 4x , " speeds up the frequency", and the "+ [tex]\pi[/tex]"

will phase shift it to the right

Step-by-step explanation:

Answer:

Step-by-step explanation:

  Number               Estimate using a single digit and power of 10  

23,898,497                      2 × 10⁷          

0.000136                          1 × 10⁻⁴

26,857                              3 × 10⁴

0.0302                             3 × 10⁻²

Answer:

6%.

Step-by-step explanation:

For arguments sake lets assume each fruit cost $1.

He spent $50 for the fruit.

His income from the 30 kg he sold was $35.

His income from  the remaining 20Kg  was $18.

Total income = $35 + $18 = $53

So his profit was  53 - 50 = $3.

= (3/50) * 100

= 6%

Answer:

The width is 5 cm

Step-by-step explanation:

The perimeter of a rectangle is

P = 2(l+w)

Substitute what we know

24 = 2(7+w)

Divide each side by 2

24/2 = 2/2(7+w)

12 = 7+w

Subtract 7 from each side

12-7 = 7+w-7

5 =w

The width is 5 cm

The formula for perimeter = 2 x length  + 2 x width

Fill in the known dimensions:

24 = 2 x 7 + 2 x width

Simplify:

24 = 14  + 2 x width

Subtract 14 from both sides:

10 = 2 x width

Divide both sides by 2:

Width = 5 cm

Answer: Width = 5 cm.

Answer:

(2,-2) --> (-1, 3)

(8,-2) --> (5, 3)

(8,-5) --> (5, 0)

(2,-5) --> (-1, 0)

Answer:

x = 6

Step-by-step explanation:

x = 3 sin(90) / sin (30)

x = 3(1)/(1/2)

x = 3 ÷ [tex]\frac{1}{2}[/tex]

x = 6