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V125BC [204]
3 years ago
6

On a coordinate plane, a parabola opens down. It has an x-intercept at (negative 5, 0), a vertex at (negative 1, 16), a y-interc

ept at (0, 15), and an x-intercept at (3, 0).
The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function?

The domain is all real numbers. The range is {y|y < 16}.
The domain is all real numbers. The range is {y|y ≤ 16}.
The domain is {x|–5 < x < 3}. The range is {y|y < 16}.
The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}
Mathematics
2 answers:
Ivenika [448]3 years ago
5 0

Answer:

Its C

Step-by-step explanation:

took the test

Zanzabum3 years ago
4 0

Answer:

the domain is xl-5<×< 3 is the range of 16

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Hey&lt;3 If you help you’re amazing if you don’t you’re awesome.
OleMash [197]
<h3>Answer:  576 </h3>

============================================================

Check out the diagram below.

I've split the figure into 3 separate blocks. We calculate the volume of each block, then add up those volumes to get the final answer.

  • Block A = largest block on the left
  • Block B = middle block
  • Block C = smallest block on the right

So,

  • volume of block A = length*width*height = 6*6*8 = 288 ft^3
  • volume of block B = length*width*height = 6*6*5 = 180 ft^3
  • volume of block C = length*width*height = 6*6*3 = 108 ft^3

Therefore, the total volume we're working with is:

A+B+C = 288+180+108 = 576 cubic feet

The "cubic feet" or "ft^3" portion is already taken care of by your teacher, so you just need to type in the number itself.

4 0
2 years ago
What is the degree of this polynomial below ?<br> 2x^5 + 4x^3 -3x^8
xeze [42]

Answer:

8

Step-by-step explanation:

the degree is the highest exponent value

8 0
3 years ago
A tube is being stretched while maintaining its cylindrical shape. The height is increasing at the rate of 2 millimeters per sec
hoa [83]

Answer:

V = πr²h

S=2πrh

h= 2/3 millimeters

new height= 8/3 millimeters

S= 8π  millimeters square

New surface area = 32π  millimeters square

Step-by-step explanation:

The volume of the cylinder is given by V = πr²h   where r is the radius and h is the height.

The surface area of the cylinder is given by  S= 2πrh + 2πr²

Where πr² gives the area of the base and 2πr² gives the area of the top and bottom surfaces. The surface area S of a cylinder, not including the top and bottom of the cylinder, is therefore S=2πrh.

V = πr²h

96π= π (6*6) (h+2)

96 = 36 (h+2)

96/36= h+2

h= 96/36-2

h= 96-72/36

h= 24/36

h= 4/6

h= 2/3 millimeters

New height

h + 2= 2/3 + 2

= 2+6/3= 8/3 millimeters

Now S =2πrh

S = 2π(6) (2/3)

S= 8π  millimeters square

New Surface area

S = 2π(6) (8/3)

S= 32π  millimeters square

6 0
3 years ago
What is the answer to the variable x in the multi-step problem 8x-6=2x-6+6x
nasty-shy [4]

Answer:

All real numbers are solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

8x−6=2x−6+6x

Step 1: Simplify both sides of the equation.

8x−6=2x−6+6x

8x+−6=2x+−6+6x

8x−6=(2x+6x)+(−6)(Combine Like Terms)

8x−6=8x+−6

8x−6=8x−6

Step 2: Subtract 8x from both sides.

8x−6−8x=8x−6−8x

−6=−6

Step 3: Add 6 to both sides.

−6+6=−6+6

0=0

5 0
3 years ago
Write y=-3/4 x-2 in standard form using integers.
jeyben [28]
Standard form is Ax + By = C

y = (-3/4)x - 2

Multiply both sides by 4.

4y = -3x - 8

Add 3x on both sides

3x + 4y = -8

Your final answer is 3x + 4y = -8.
8 0
3 years ago
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