What’s the axis of symmetry for f(x)=2(x-3)^2+6

Answer:

6(-3)*4(3)*3

-12 *12 *3

-144*3

-432

Answer: -432

Step-by-step explanation:

Answer:

Step-by-step explanation:

-7 - 9x = -61

-9x = -54

x = 6

Answer:

3)infinitely many solution

Step-by-step explanation:

-3 - 7t = -7t - 3

-7t + 7t = -3 + 3

0 = 0

if there is same number on both side it have infinitely many solution.

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Answer:

Step-by-step explanation:

∠ADE =  74   {Vertically opposite angles are equal}

∠AED + 127 = 180  {Straight line }

∠AED = 180 - 127

∠AED = 53

In ΔADE,

∠DAE + ∠AED + ∠ADE = 180 {angle sum property of triangle}

∠DAE + 53 + 74 = 180

∠DAE + 127 = 180

∠DAE = 180 -127

∠DAE = 53

Answer:

44

Step-by-step explanation:

1. substitute variables with their constants

(-9)(-3) - (-3)(8) - 7

2. multiply all like terms

(27) - (-24) - 7

3. Combine all like terms

27 + 24 - 7

51 - 7

= 44

Answer:

44

Step-by-step explanation:

Evaluate z x - x y - 7 where x = -3, y = 8 and z = -9:

z x - x y - 7 = -9 (-3) - -3×8 - 7

Hint: | Multiply -9 and -3 together.

-9 (-3) = 27:

27 - -3×8 - 7

Hint: | Multiply -1 and -3 together.

-(-3) = 3:

27 + 3×8 - 7

Hint: | Multiply 3 and 8 together.

3×8 = 24:

27 + 24 - 7

Hint: | Evaluate 27 + 24 using long addition.

| 1 |  

| 2 | 7

+ | 2 | 4

| 5 | 1:

51 - 7

Hint: | Subtract 7 from 51.

| 4 | 11

| 5 | 1

- | | 7

| 4 | 4:

Answer: 44

Answer:

C.

Step-by-step explanation:

pi(r)^2

pi(2x+1)^2

6x(4pix^2+4pix+1pi)

24pix^3+24pix^2+6pix

Answer:

C

Explanation:

Volume for a cylinder is V= (pi)(r^2)(h)

r being radius, h being height.

The radius is 2x+1, so square that

(2x+1)^2 = 4x^2 + 4x + 1

Then multiply by 6x, the height

(4x^2 + 4x + 1)(6x) = 24x^3 + 24x^2 + 6x

Then multiply each term pi, which would be answer C.

Answer:

(x-6)(x+1)

Step-by-step explanation:

Answer:

Hey there!

Cone formula: [tex]\pi[/tex]hr^2/3

Plugging in the values, we get the volume is 301.59

Let me know if this helps :)

Answer:

96π

301.59

Step-by-step explanation:

The volume of a cone can be calculated using the following formula:

[tex]V=\frac{1}{3}bh[/tex]

b is the base and h is the height. The base formula for a circle (area):

[tex]b=\pi r^2[/tex]

Insert this value into the formula:

[tex]V=\frac{1}{3}\pi r^2h[/tex]

Simplify the formula:

[tex]V=\frac{\pi r^2h }{3}[/tex]

Now insert the known values:

[tex]V=\frac{\pi(6)^2(8) }{3}[/tex]

Simplify:

[tex]V=\frac{\pi*36*8 }{3}\\\\V=\frac{288\pi }{3}\\\\V=96\pi[/tex]

The volume is 96π units³ or 301.59 units³.

:Done

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Answer:

A

Step-by-step explanation:

Answer:

4(4a+5) = 16 a + 20 = True

Step-by-step explanation:

Answer:

220

Step-by-step explanation:

55 percentage of x = 121

so X = 220

as simple as that

Answer:

JUSTICE LEAGUE

Step-by-step explanation:

Answer:

Yes, 6 is greater then 0.06 and 0.006

Step-by-step explanation:

6 = 6.00

and both 0.06 and 0.006 are not even a whole number

Answer: Yes it is

Step-by-step explanation:

6>0.06 and 6 >0.006

Answer:

The answer to this problem is 3

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

It is basically 7×6 when you replace the b with 7

Answer:

The answer is 13.

Step-by-step explanation:

Find the value of 6 + b:

Replacing b by 7 gives 6 + 7. (example)

Answer:

Equation: x + 5 ≤ 26

Solved: x ≤ 21

Answer:

Area of diamond=8192

Area of trapezoid =72 square unit

Step-by-step explanation:

Area of diamond:

find the distance between the points:

(0,64), (64,0), (0,-64),(-64,0)

d=√(x2-x1)²+(y2-y1)²

d=√64²+64²

d=64√2=90.51( rounded to the nearest hundredth)

since it is shape of square then all sides are equal

A=length*width

A=64√2*64√2

4- Area of trapezoid= ((base a +base b)/2) h

base a=3, base b=6 height=8 ( from graph count the tiles)

Area of trapezoid = ((3*6)/2 )* 8

Area=18/2*8

Area=9*8=72 square unit

The area of a diamond is 8192 square units and the area of a trapezoid is 72 square units.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

The area of the diamond will be calculated as below:-

find the distance between the points:

(0,64), (64,0), (0,-64),(-64,0)

d=√(x2-x1)²+(y2-y1)²

d=√64²+64²

d=64√2=90.51( rounded to the nearest hundredth)

Since it is the shape of a square then all sides are equal

A=length x width

A=64√2 x 64√2

A=8192 square unit

The area of the trapezoid will be calculated as below:-

Area of trapezoid= ((base a +base b)/2) h

base a=3, base b=6 height=8 ( from graph count the tiles)

Area of trapezoid = ((3*6)/2 )* 8

Area=( 18/2 ) x 8

Area=9 x 8=72 square unit

Therefore, the area of a diamond is 8192 square units and the area of a trapezoid is 72 square units.

To know more about the area of the trapezoid follow

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Answer:

72

Step-by-step explanation:

You would first change 25% to 0.25

Then divide 18 by 0.25 (18/0.25)

Which equals 72

Answer:

4.5 because its basically 18 divided by 4

Step-by-step explanation:

I'm confused as to why there's a random "10" but the answer is actually pretty simple. Insert (11-210) into the problems.

Basically substitute (11-210) into the numbers with the x variable.

Answer:

Step-by-step explanation:

f'(x)=-2x+7

f(x) is decreasing if '(x)<0

so -2x+7<0

or 7<2x

or 2x>7

or x>7/2

including end points f(x) is decreasing in [3/2,∞)

Answer:

Step-by-step explanation:

If the first floor of the Willis Tower is 21 feet high. and each additional floor is 12 feet high, then the floor heights as we move from one floor to another we keep increasing by 12feets and forms an arithmetic progression as shown;

21, (21+12), (21+12+12), ...

21, 33, 45...

a) To write an equation for the nth floor of the tower, we will have to find the nth term of the sequence using the formula for finding the nth term of an arithmetic sequence.

The nth term of an arithmetic sequence is expressed as [tex]T_n = a + (n-1)d[/tex]

a is the first term = 21

d is the common difference = 33-21 = 45-33 = 12

n is the number of terms

Substituting the given parameters into the formula;

[tex]T_n = 21+(n-1)*12\\T_n = 21+12n-12\\T_n = 21-12+12n\\T_n = 9+12n[/tex]

Hence the equation for the nth floor of the tower is expressed as [tex]T_n = 9+12n[/tex]

b) To get the height of the 65th floor, we will substitute n = 65 into the formula arrived at in (a)

[tex]T_n = 9+12n\\T_{65} = 9 + 12(65)\\T_{65} = 9+780\\T_{65} = 789 ft[/tex]

Hence the height of the 65th floor is 789feets.

Answer:

x = 8

AB  = 54

Step-by-step explanation:

AD = DB

2x+11 = 4x-5

11 = 2x - 5

16 = 2x

8 = x

2(8) + 11 =

16 + 11 = 27

Answer:

[tex]y=-4x+16[/tex].

Step-by-step explanation:

From the given graph it is clear that the y-intercept is 16.

The line passes through (-2,24) and (2,8). So, slope of line is

[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]Slope=\dfrac{8-24}{2-(-2)}[/tex]

[tex]Slope=\dfrac{-16}{4}[/tex]

[tex]Slope=-4[/tex]

Slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

Substitute m=-4 and b=16 in the above equation.

[tex]y=(-4)x+(16)[/tex]

[tex]y=-4x+16[/tex]

Therefore, the required equation is [tex]y=-4x+16[/tex].

Answer:

Step-by-step explanation:

[tex]A = \frac{1}{2} \times b \times h\\A = 32\\b = ?=x\\h = 4\\\\32 = \frac{1}{2} \times x \times 4\\\\32 = \frac{4x}{2} \\\\Cross \: Multiply\\\\64 =4x \\Divde \: both \: sides \: of \: the \:equation \:by \: 4\\\\\frac{4x}{4} = \frac{64}{4} \\\\x = 16[/tex]

Answer:

Domain:  [tex]-3\leq x\leq 1[/tex]

Range:  [tex]-4\leq y\leq 0[/tex]

Step-by-step explanation:

If you find the coordinate of the graph you can get the domain and range

(-3,0), (-2,-4), (-1,-2), (0,0), (1, -4)

Now that we have that find the domain and range

Domain -  x coordinate

Range - y coordinate

Domain: (-3, -2, -1, 0, 1)

Range: (-4, -2, 0)

Since the domain ranges from -3 to 1 you can use the inequality [tex]-3\leq x\leq 1[/tex] to represent the domain and [tex]-4\leq y\leq 0[/tex] for the range

Answer:

addition property of equality

Step-by-step explanation:

−18+p=18

Add 18 to each side using the addition property of equality

−18+18+p=18+18

p = 36

Answer: DJ receive 12 requests for hip-hop songs on Friday night.

Step-by-step explanation:

As per given , we have

[tex]\text{(Number of request country songs ) = }2+\dfrac{4}{3}\times (\text{Number of request for hip-hop songs})[/tex]

Let X represents the number of request for hip-hop songs which equation represents the situation .

If  they're 18 request for country songs, then

[tex]18=2+\dfrac{4}{3}X\\\\\Rightarrow\ 18-2 =\dfrac{4}{3}X\\\\\Rightarrow\ 16 =\dfrac{4}{3}X\\\\\Rightarrow\ X=\dfrac{3}{4}\times16= 3\times4=12\\\\\Rightarrow\ X=12[/tex]

Hence, DJ receive 12 requests for hip-hop songs on Friday night.

Answer:

7 t-shirts

Step-by-step explanation:

Because you know the cost of shipping ($6) is constant no matter the quantity you order (fixed cost), you can subtract it from the total cost of the order to find the total variable cost. Next you divide the left over cost by the cost per t-shirt to get the quantity ordered.

$111 - 6 = $105

$105 / $15 per shirt = 7 t-shirts

Hope this helps!

-The Business Man

Step-by-step explanation:

y=2x-5 is in y=mx+b

Where m = slope

[tex]slope = m = 2[/tex]

To find y-intercept :

[tex]y = 2x - 5[/tex]

Let x =0

[tex]y = 2(0) - 5 \\ y = 0 - 5 \\ y = - 5[/tex]