All categories

3 years ago

Use graphing technology to find the range of the function f(x)=x2 +6x+9

Mathematics

1 answer:

lbvjy [14]3 years ago

5 0

Answer:

See below.

Step-by-step explanation:

Refer to the graph.

The range of a graph is the span of y-values it covers.

From the graph, we can see that the span of y-values is all values greater than or equal to 0.

Therefore, our range is, in interval notation:

$[0,\infty)$

Note that we use brackets with the 0 because 0 is included in our range.

In set notation, this is:

$\{y|y\in\mathbb{R},y\geq 0\}$

You might be interested in

Someone help me please ?

drek231 [11]

The answer to your question is,

$8.84, since when you divide the numbers 67.99 and 13%, you get $8.84.

-Mabel <3

7 0

2 years ago

Please please please please

Mariulka [41]

The numbers given are length-15 width-10 and height-2

perimeter: 50 feet (15 + 10 + 15 + 10)
area: 150 feet (15 × 10)
volume: 300 feet (15 × 10 × 2)

7 0

3 years ago

A circular piece of fabric has a radius of 1.2ft. The fabric sells for $5.40 per ft2. What is the total cost of the circular pie

mixas84 [53]

Find the area of the fabric
The fabric is circular, so we find the area using the area of circle formula
a = π × r²

input the numbers
a = π × r²
a = 3.14 × (1.2)²
a = 3.14 × 1.44
a = 4.5216 ft²

Calculate the total cost
Multiply the cost by the area
cost = 5.4 × 4.5216
cost = 24.417
The total cost is approximately $24.42

6 0

3 years ago

PLEASE HELP ME!!!!! A quadrilateral with vertices (0,0), (4,0), (3,2), (1,1) is mapped to a quadrilateral with vertices (6,3).(-

Murljashka [212]

Answer:

( 2,1) is the center of dilation and -2 is the scale factor

Step-by-step explanation:

We can use the formula

A' = k( x-a) +a, k( y-b)+b where ( a,b) is the center of dilation and k is the scale factor

(0,0) becomes (6,3)

( 6,3) = k( 0-a) +a, k( 0-b)+b

6 = -ka+a

3 = -kb+b

We also have

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

( -2,3) = k( 4-a) +a, k( 0-b)+b

-2 =4k -ka+a

3 = -kb+b

Using these two equations

6 = -ka+a

-2 =4k -ka+a

Subtracting the top from the bottom

-2 =4k -ka+a

-6 = ka -a

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

-8 = 4k

Divide by 4

-8/4 = 4k/4

-2 = k

Now solving for a

6 = -ka +a

6 = - (-2)a +a

6 = 2a+a

6 = 3a

Divide by 3

6/3 =3a/3

2=a

Now finding b

3 = -kb+b

3 = -(-2)b+b

3 = 2b+b

3 = 3b

b=1

6 0

3 years ago

Read 2 more answers

A basketball court is 94 feet by 50 feet. Eight fans ca

IgorC [24]

Answer:

The entire floor can contain approximately 4178 fans

Step-by-step explanation:

The first step is to calculate the area of the basketball floor.

we can do this by multiplying the length by the breadth as such 94 X 50 = 4700 square feet.

The second step is to calculate the area occupied by 8 of the fans. We can do this by multiplying 3 ft by 3ft = 9 square feet.

From this, it will be easier to estimate the area occupied by only one fan. This can be got by dividing 9 square feet by 8.

This is = 1.125 square feet.

To get the number of students it can occupy, we divide the total area of the court by the area occupied by one student.

4700/ 1.125 =4177.8 $\approx$ 4178 fans

4 0

3 years ago