# The vertex of the parabola represented by f(x)=x^2-2x+6 has coordinates (1,5). Find the coordinates of the vertex of the parabola defined by g(x)=f(x+3). Explain how you arrived at your answer

QUESTION POSTED AT 15/01/2020 - 03:08 AM

QUESTION POSTED AT 15/01/2020 - 03:08 AM

The point (-4, 7) is in the 2nd quadrant. The coordinate of the preimage
of a -90 degrees rotation that resulted to point (-4, 7) will be in the
third quadrant. (i.e. both x and y is negative). Hence, answer is (-7,
-4).

ANSWERED AT 29/01/2020 - 05:41 PM

QUESTION POSTED AT 29/01/2020 - 05:41 PM

10/5 = 1/x

cross multiply

10x = 5

x = 5/10

x = 1/2...u need 1/2 gallon per fish

cross multiply

10x = 5

x = 5/10

x = 1/2...u need 1/2 gallon per fish

ANSWERED AT 29/01/2020 - 05:40 PM

QUESTION POSTED AT 29/01/2020 - 05:40 PM

**Answer:**

**(3.95m) + (8.95b) = 47.65**

**Step-by-step explanation:**

Hugh bought some magazines that cost = $3.95 each

the cost of each books = $8.95

He spent a total on purchase of books and magazines = $47.65

Let m represent the number of magazines and b represent the number of books.

Now the equation will be

**(3.95m) + (8.95b) = 47.65**

ANSWERED AT 29/01/2020 - 05:36 PM

QUESTION POSTED AT 29/01/2020 - 05:36 PM

2x + 7y = 4.....multiply by 2

-4x - 3y = 14

------------------

4x + 14y = 8 (result of multiplying by 2)

-4x - 3y = 14

----------------add

11y = 22

y = 2

2x + 7y = 4

2x + 7(2) = 4

2x + 14 = 4

2x = 4 - 14

2x = - 10

x = -5

solution is : (-5,2)

-4x - 3y = 14

------------------

4x + 14y = 8 (result of multiplying by 2)

-4x - 3y = 14

----------------add

11y = 22

y = 2

2x + 7y = 4

2x + 7(2) = 4

2x + 14 = 4

2x = 4 - 14

2x = - 10

x = -5

solution is : (-5,2)

ANSWERED AT 29/01/2020 - 05:36 PM

QUESTION POSTED AT 29/01/2020 - 05:36 PM

John needs 234 dollars more for the bike. About 235

336-103=234

ANSWERED AT 29/01/2020 - 05:35 PM

QUESTION POSTED AT 29/01/2020 - 05:35 PM

Whats the radius

of the circumfrence

of the circumfrence

ANSWERED AT 29/01/2020 - 05:35 PM

QUESTION POSTED AT 29/01/2020 - 05:35 PM

C = 2 * pi * r

C = 2 * pi * 29

C = 58(pi)

C = 2 * pi * 29

C = 58(pi)

ANSWERED AT 29/01/2020 - 05:34 PM

QUESTION POSTED AT 29/01/2020 - 05:34 PM

**Answer:**

**The volume of the empty space is 20.57 unit³.**

**Step-by-step explanation:**

Given,

The volume of the box = 96 cubic units,

Also, the cylindrical container is packed inside the box.

We know that,

The volume of a cylinder is,

Where r is the radius of cylinder,

h is its height,

Here, r = = 2 unit ( Radius = Diameter / 2 )

And, h = 6 units

Thus, the volume of the cylindrical container is,

Hence,** the volume of the empty space between the cylinder and the box **= Volume of the box - Volume of the container

ANSWERED AT 29/01/2020 - 05:33 PM

QUESTION POSTED AT 29/01/2020 - 05:33 PM

Equation: C = 2r

Step 1.) C = 2 * 3.1415 * 17

Solution: 106.814

Step 1.) C = 2 * 3.1415 * 17

Solution: 106.814

ANSWERED AT 29/01/2020 - 05:33 PM

QUESTION POSTED AT 29/01/2020 - 05:33 PM

1,5 I think because the x is negative so it would become positive and the y would stay the same.

ANSWERED AT 29/01/2020 - 05:32 PM

QUESTION POSTED AT 29/01/2020 - 05:32 PM

The value of 'y' is 57.

ANSWERED AT 29/01/2020 - 05:32 PM

QUESTION POSTED AT 29/01/2020 - 05:32 PM

F(x) = 3x³ - 12x² - 15x

1) Factor Outside: 3x( x² - 4x - 5)

Factor Inside: 3x(x + 1)(x - 5)

2) Set Equal To 0:

3x = 0

x + 1 = 0

x - 5 = 0

3) Solve:

x = 0, -1, 5

1) Factor Outside: 3x( x² - 4x - 5)

Factor Inside: 3x(x + 1)(x - 5)

2) Set Equal To 0:

3x = 0

x + 1 = 0

x - 5 = 0

3) Solve:

x = 0, -1, 5

ANSWERED AT 29/01/2020 - 05:31 PM

QUESTION POSTED AT 29/01/2020 - 05:31 PM

**Answer:**

**Step-by-step explanation:**

Given the legs of right angled triangle 4 and 5 units. we have to find the length of hypotenuse.

**By Pythagoras theorem,**

**In right angled triangle **the square of the length of the hypotenuse is equal to sum of squares of the lengths of other two sides

**Hence**,

ANSWERED AT 29/01/2020 - 05:29 PM

QUESTION POSTED AT 29/01/2020 - 05:29 PM

7 :). The answer is 1626.911. None of these digits are a zero, so therefore all 7 are sig figs :)

ANSWERED AT 29/01/2020 - 05:27 PM

QUESTION POSTED AT 29/01/2020 - 05:27 PM

ANSWERED AT 29/01/2020 - 05:27 PM

QUESTION POSTED AT 29/01/2020 - 05:27 PM

13 + 5n is ur expression

ANSWERED AT 29/01/2020 - 05:23 PM

QUESTION POSTED AT 29/01/2020 - 05:23 PM

The height of a dam:

h = x + 1.65 m,

where:

x = 90 m · tan 26°

x = 90 · 0.4877

x = 43.90

h = 43.90 m + 1.65 m = 45.55 m

Answer:

The height of the dam is**45.5 m.**

h = x + 1.65 m,

where:

x = 90 m · tan 26°

x = 90 · 0.4877

x = 43.90

h = 43.90 m + 1.65 m = 45.55 m

Answer:

The height of the dam is

ANSWERED AT 29/01/2020 - 05:23 PM

QUESTION POSTED AT 29/01/2020 - 05:23 PM

Weeks : 1 2 3 4 5

number of insects : 4 8 16 32 64

each week ur insect collection doubled...so by week 5, u had 64 insects in ur collection

number of insects : 4 8 16 32 64

each week ur insect collection doubled...so by week 5, u had 64 insects in ur collection

ANSWERED AT 29/01/2020 - 05:22 PM

QUESTION POSTED AT 29/01/2020 - 05:22 PM

15+3x=2y

2y=3x+15

y=

Gradient, m=

2y=3x+15

y=

Gradient, m=

ANSWERED AT 29/01/2020 - 05:22 PM

QUESTION POSTED AT 29/01/2020 - 05:22 PM

To get the x-intercepts of the function, f(x) = 4x2 – 24x + 20

It has to be equated to zero and the values of x are the x-intercepts. So,

4x2 – 24x + 20 = 0

The resulting equation is a quadratic equation which can be solved by different methods. The solution is

x = 5, 1

The average therefore is:

(1+5/)2 = 3

ANSWERED AT 29/01/2020 - 05:22 PM

QUESTION POSTED AT 29/01/2020 - 05:22 PM

The answer might be

<PQR = 6x+1

X=3.5

<PQR = 6x+1

X=3.5

ANSWERED AT 29/01/2020 - 05:21 PM

QUESTION POSTED AT 29/01/2020 - 05:21 PM

That's a right isosceles triangle.

ANSWERED AT 29/01/2020 - 05:21 PM

QUESTION POSTED AT 29/01/2020 - 05:21 PM

I think it's C not sure though.

ANSWERED AT 29/01/2020 - 05:20 PM

QUESTION POSTED AT 29/01/2020 - 05:20 PM

Hint:

r_{y=k): (x,y)->(x,-(y-k)+k)

or simplified,

r_{y=k): (x,y)->(x,2k-y)

So in this case, k=-1, x=2, y=-4

(2,-4) -> (2, 2(-1)-(-4)

(2,-4) -> (2, -2+4)

(2,-4) -> (2, 2)

r_{y=k): (x,y)->(x,-(y-k)+k)

or simplified,

r_{y=k): (x,y)->(x,2k-y)

So in this case, k=-1, x=2, y=-4

(2,-4) -> (2, 2(-1)-(-4)

(2,-4) -> (2, -2+4)

(2,-4) -> (2, 2)

ANSWERED AT 29/01/2020 - 05:19 PM

QUESTION POSTED AT 29/01/2020 - 05:19 PM

**Answer:**

I got 65.94

**Step-by-step explanation**

**3 x 3=9**

**3 x 4=12**

**12+9= 21**

**21 x 3.14 = 65.94**

ANSWERED AT 29/01/2020 - 05:18 PM

QUESTION POSTED AT 29/01/2020 - 05:18 PM

The coordinates of the image are : **C ) ( 2, 2 )**

ANSWERED AT 29/01/2020 - 05:17 PM

QUESTION POSTED AT 29/01/2020 - 05:17 PM

Hello,

ANSWERED AT 29/01/2020 - 05:16 PM

QUESTION POSTED AT 29/01/2020 - 05:16 PM

**Answer:**

The correct answer is **C.**

**Step-by-step explanation:**

Notice that the difference between consecutive values of x is always 1, and the difference between consecutive values of y is always 2. This means that

where and stands for two consecutive values of x, and the same goes to y.

Now, notice that this is the definition of the slope of the equation of a line. Then, a line can be characterized by this condition, and that is why **C ** is the correct answer.

Anyway, you can check that this set of point is generated by a linear function in other way. Suppose that it can be done, and the linear function has the form

.

From the pair (0,7) we deduce that , then . Now, substituting the pair (-3,1) we get and as consequence . Thus, if the points are generated by a linear function, its expression would be .

Now, substitute the different values of x and check that the same values of y are obtained.

ANSWERED AT 29/01/2020 - 05:16 PM

QUESTION POSTED AT 29/01/2020 - 05:16 PM

1. Equation of circle = (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the centre of the circle and r is the diameter.

(x - (-5))^2 + (y - (-7))^2 = 6^2

(x + 5)^2 + (y + 7)^2 = 36

x^2 + 10x + 25 + y^2 + 14y + 49 = 36

x^2 + y^2 + 10x + 14y + 38 = 0

(x - (-5))^2 + (y - (-7))^2 = 6^2

(x + 5)^2 + (y + 7)^2 = 36

x^2 + 10x + 25 + y^2 + 14y + 49 = 36

x^2 + y^2 + 10x + 14y + 38 = 0

ANSWERED AT 29/01/2020 - 05:15 PM

QUESTION POSTED AT 29/01/2020 - 05:15 PM

**Answer:**

The correct option is B.

**Step-by-step explanation:**

It is given that the ordered pairs below represent a linear relation between x and y. (-3,0), (-2,4), (-1,8), (0,12), (1,16), (2,20).

At y-intercept the value of x is 0. From the given points we can say that the y-intercept of the function is (0,12).

If a line passing through the two points, then the slope of the function is

The slope of the function is

**Therefore the slope of the line represented by this table is 4 and the y-intercept is 12. Option B is correct.**

ANSWERED AT 29/01/2020 - 05:15 PM

QUESTION POSTED AT 29/01/2020 - 05:15 PM