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Answer:

Step-by-step explanation:

x^2-16y-4x-12=0

Transpose and separate x and y

16y = x^2-4x-12

16y = (x^2-4x+4) -16

16y = (x-2)^2 -16

y = (1/16)(x-2)^2 -1

This means that the vertex is at

(x-2)=0 or x=2

y = -1

=> vertex (2,-1)

Answer:

It's a cubic monomial now that it's written 3and a multiplication sign meaning three times which is also 3cubed so the answer is C

Answer:

The zeros are between -4 and -3, and between 0 and 1

Step-by-step explanation:

Here, we want to location of the zeros

As we can know, at the zeros of a quadratic function, the y value at those point is zero

So whenever we have y value being zero, we have it that the x value at that point is a zero or root of the quadratic function

Now, looking at the table, we can see that between the point x = -4 and -3; y moved from -2 to 2

For this movement to occur, we must have passed through 0 as we have -1 ,0 and 1 between the numbers as -2 and 2

So obviously, the root is between -4 and -3

Secondly as we can see, f(x) moved from 2 to -2

The numbers between here are 1 , 0 and -1

So definitely the root lies between the x values of 0 and 1

Answer:

a pound is 16 oz. so 2 onions are a pound. meaning 5 onions equal 2 1/2 pounds.

2.5 × 0.79 = $1.975 (about $1.98)

Answer: 1/6

Step-by-step explanation:

Number of black cubes = 5

Number of pink cubes = 3

Number of blue cubes = 2

Total number of cubes = 10

The probability of picking a pink cube and then a black cubes will be:

p(pink,blue) = 3/10 × 5/9

= 1/6

The probability is 1/6

Answer:

C

Step-by-step explanation:

C i did the test

The correct rule for the graph shown will be;

⇒ y = 3x

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The graph is shown in figure.

Two points on the graph are (2, 6) nd (3, 9).

Now,

Solve for the correct rule of the graph as;

Since, The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

So, We find the slope of the line as;

Two points on the graph are (2, 6) and (3, 9).

Hence,

m = (9 - 6) / (3 - 2)

m = 3/1

m = 3

Thus, The equation of line in point-slope form passing through the points (2, 6) and (3, 9).with slope 3 is defined as;

⇒ y - y₁ = m (x - x₁)

⇒ y - 6 = 3 (x - 2)

⇒ y - 6 = 3x - 6

⇒ y = 3x

Thus, The correct rule for the graph shown will be;

⇒ y = 3x

Learn more about the equation of line visit:

https://brainly.com/question/18831322

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Answer:

1286 more feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

surface area of cuboid=2h(l+w)

=2*2(12+5)

=4*17

=68 cm^2

Answer:

188 cm²

Step-by-step explanation:

TSA of cuboid = 2(lb + bh + hl)

= 2 {(12*2) + (2*5) + (5*12)}

= 2 (24 + 10 + 60)

= 2 (94)

= 188cm²

Answer:

$449.5

Step-by-step explanation:

Given data

Earning rate=  $15.50 per hour

Number of hours worked = 29 hours

Hence the amount earned is

=15.5*29

= $449.5

Hence the total amount she earned is $449.5

Answer:

C

Step-by-step explanation:

Answer:

22 inches

Step-by-step explanation:

so to find the diameter you divide the circumference by pi(3.14)

69.1÷3.14=22.006

now rounding that you get 22

Answer:

$2,100.00

Step-by-step explanation:

Answer:

600 dollars a year

Step-by-step explanation:

I=prt is the formula for simple interest.

2000×0.05×6 = 600

Answer:

A, 1 inch equals 5 feet.

Step-by-step explanation:

To calculate the answer you have to divide

30 ÷ 6 = 5

So, 1 inch represents 5 feet.

Have a great day!

Answer:

the answer is A

Step-by-step explanation:

do 30÷6 and you get 5ft. so, 1 inch represents 5ft

Answer:

$6

Step-by-step explanation:

Set up a system of equations where b is the cost of a book and m is the cost of a movie:

9b + 5m = 124

4b + 21m = 318

Solve by elimination by multiplying the top equation by -21 and the bottom equation by 5:

-189b - 105m = -2604

20b + 105m = 1590

Add the equations together, then solve for b:

-169b = -1014

b = 6

So, the cost of a book is $6

Answer:

-8 = m-2+b

-2 = m-0+b

4 = m2+b

10 = m4+b

Step-by-step explanation:

You just put them in y = mx+b format

Answer:

AB XY

Step-by-step explanation:

They are congruent side angles

Answer:

11.6

Step-by-step explanation:

Answer:

20 min

Step-by-step explanation:

To go 1 mile it takes her 10 min (5 = 1/2 multiply both sides by 2) and to get to school it would take her 2 miles, so it would take 10 min.

Answer:

12% increase

Step-by-step explanation:

Have a good day :)

Answer:

Do you want the derivative?!

Answer:

Step-by-step explanation:

multiplication:  (x-1)  *  (x+3)  *  (x-4)

(x-1) * (x+3)

x^2 + 2x - 3

(x^2 + 2x -3)(x-4)

x^3-2x^2-5x+ 12

finding the zeroes:

(x-1)         (x+3)    (x-4)

x-1:0      x+3:0     x-4:0

+1:1          -3:3     +4: 4

x: 1            x:3        x:4

Answer:

A = 1739.4 cubic feet

Step-by-step explanation:

B = area of base (πr²)

h = height

A = Bh/3

A = [(18.7÷2)²π × 19] / 3

A = (9.35²π×19) / 3

A = 1739.4

Answer:

243

Step-by-step explanation:

Answer:

The correct answer is 0 or A

Step-by-step explanation:

2/0+2 + 1/5 = 6/0+5

2/2 + 1/5 = 6/5

1 + 1/5 = 6/5

5/5 + 1/5 = 6/5

6/5 = 6/5

Answer:

yea its 2

Step-by-step explanation:

Answer:

Its D

square root of 37 = 6.0

Step-by-step explanation:

Answer: ₹2646

Step-by-step explanation:

Given

The volume of the room is [tex]V=270\ m^3[/tex]

cost of painting the walls is ₹[tex]3600[/tex] at the rate of [tex]15\ m^2[/tex]

So, the area of walls is

[tex]\Rightarrow A=\dfrac{3600}{15}\\\\\Rightarrow A=240\ m^2[/tex]

This the area of 4 walls i.e.

[tex]\Rightarrow 240=2[hl+hb]\\\Rightarrow 120=h[l+b]\\\Rightarrow 120=4bh\quad [\text{length is thrice of width}]\\\Rightarrow 30=bh\qua \ldots(i)[/tex]

The volume of the room is given by

[tex]V=l\times b\times h\\270=3b\times b\times h\\90=hb^2\quad \ldots(ii)[/tex]

Divide (i) and (ii)

[tex]\Rightarrow \dfrac{90}{30}=\dfrac{b^2h}{bh}\\\\\Rightarrow b=3\ m[/tex]

So, the length of the room is

[tex]l=3b\\l=3\times 3\\l=9\ m[/tex]

The area of the floor is

[tex]\Rightarrow A_o=l\times b\\\Rightarrow A_o=9\times 3\\\Rightarrow A_o=27\ m^2[/tex]

The cost of flooring is

[tex]\Rightarrow 27\times 98\\\Rightarrow Rs.2646[/tex]

Answer:

3 groups

Step-by-step explanation:

Sopranos = 12

Altos = 9

Find the highest common factor of 12 and 9

12 = 1, 2, 3, 4, 6, 12

9 = 1, 3, 9

The highest common factor of 12 and 9 is 3

Therefore, the choir teacher can only have 3 groups

12 sopranos / 3 groups

= 4 sopranos per group

9 Altos / 3 groups

= 3 altos per group

Each of the 3 groups Will have 4 sopranos and 3 altos each

Answer:

Yes

Step-by-step explanation:

So permiter is two*lengths plus 2*width of a shape.

Area is the length times the width.

For examplel if a square has a length of 2, and a width of 3 the permiteter is:

2*2+3*3=

4+9

=

13

On the other hand, area  would be:

2*3

=

6

I hope this helps!