1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stira [4]
2 years ago
15

Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range. y=-0.5x^2+0.7x-5.1

Mathematics
2 answers:
lianna [129]2 years ago
8 0

Answer:

The domain of the equation is all real number and the range of the equation is (-∞,-4.885].

Step-by-step explanation:

The given quadratic equation is

y=-0.5x^2+0.7x-5.1

Use a graphing calculator to sketch the graph of the quadratic equation.

The graph of given quadratic equation is shown below.

From the graph it is clear that it is a downward parabola and the vertex of the parabola is (0.7,-4.885).

The function is defined from all values of x, therefore the domain of the function is all real number.

The vertex of the parabola is (0.7,-4.885). It means the maximum value of the function is -4.885 and the value of y cannot be more than -4.885.

So, the range of the function is

Range=\{y|y\leq -4.885\}

Therefore the domain of the equation is all real number and the range of the equation is (-∞,-4.885].

blsea [12.9K]2 years ago
4 0
The graph below is on the scale of five and I hope it is helpful.

You might be interested in
3(x-5)=2(x-10)<br> Solce for X
stira [4]

Answer: X = -5

Step-by-step explanation:

3(x-5)=2(x-10)

3x - 15 = 2x -20

3x = 2x -5

x = -5

8 0
2 years ago
Read 2 more answers
Type the correct answer in each box. Use numerals instead of words.
N76 [4]

The simplification of the polynomial expression will give 3x² - 20x + 8.

<h3>How to illustrate the polynomial?</h3>

The polynomial expression is given as:

(5x² + 13x4) (17x² + 7x - 19) + (5x-7)(3x + 1)

= 5x² + 13x - 4 - 17x² - 7x + 19 + 15x² + 5x - 21x - 7

Then collect like terms

= 5x² + 15x² - 17x² + (13x - 7x + 5x - 21x) - 4 - 7 + 19

= 3x² - 20x + 8.

Learn more about polynomial on:

brainly.com/question/2833285

#SPJ1

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cunderline%7B%20%5Ctext%7BQuestion%7D%7D%20%3A%20" id="TexFormula1" title=" \underline{ \
Oliga [24]

Answer:

Part A)

The height of the water level in the rectangular vessel is 2 centimeters.

Part B)

4000 cubic centimeters or 4 liters of water.

Step-by-step explanation:

We are given a cubical vessel that has side lengths of 10cm. The vessel is completely filled with water.

Therefore, the total volume of water in the cubical vessel is:

V_{C}=(10)^3=1000\text{ cm}^3

This volume is poured into a rectangular vessel that has a length of 25cm, breadth of 20cm, and a height of 10cm.

Therefore, if the water level is h centimeters, then the volume of the rectangular vessel is:

V_R=h(25)(20)=500h\text{ cm}^3

Since the cubical vessel has 1000 cubic centimeters of water, this means that when we pour the water from the cubical vessel into the rectangular vessel, the volume of the rectangular vessel will also be 1000 cubic centimeters. Hence:

500h=1000

Therefore:

h=2

So, the height of the water level in the rectangular vessel is 2 centimeters.

To find how how much more water is needed to completely fill the rectangular vessel, we can find the maximum volume of the rectangular vessel and then subtract the volume already in there (1000 cubic centimeters) from the maximum volume.

The maximum value of the rectangular vessel is given by :

A_{R_M}=20(25)(10)=5000 \text{ cm}^3

Since we already have 1000 cubic centimeters of water in the vessel, this means that in order to fill the rectangular vessel, we will need an additional:

(5000-1000)\text{ cm}^3=4000\text{ cm}^3

Sincer 1000 cubic centimeters is 1 liter, this means that we will need four more liters of water in order to fill the rectangular vessel.

3 0
3 years ago
Read 2 more answers
At the grocery store there are two different options for buying Coke. You can buy a 12 pack for $5.49 or an 18 pack for $8.59. W
baherus [9]

Step-by-step explanation:

The 18 Pack why is because it has more Coke than the other one and it is less expensive than the other one if it had 18.

3 0
2 years ago
A car traveling at a certain speed will travel 76 feet per second. How man yards will the car travel in 120 seconds if it ma bra
lys-0071 [83]
The equation is 76*120/3.

76*120/3
9,120/3
3,040

The car will travel 3,040 yards in 120 seconds at that speed.
7 0
3 years ago
Other questions:
  • 2.43125 rounded to the nearest tenths
    5·2 answers
  • a recipe requires 1\3 cup of milk for each 1\4 cup of water. how many cups of water are needed for each cup of milk
    5·2 answers
  • The function F(x) is describe below F(x)=3+2 what is the value of F(5)
    9·1 answer
  • Please help me on this question please
    10·1 answer
  • What is the purpose of a cash budget?
    12·1 answer
  • (Giving brainliest to correct answer)<br><br> Congruence
    6·1 answer
  • The perimeter of an isosceles triangle is 12a + 8b
    8·1 answer
  • The sales tax in a major city is 7%. Find the cost, including the tax charged on a purchase of $200.
    5·1 answer
  • Evaluate. (a−2b)3 when a=−2 and b=−12
    5·2 answers
  • A certain hybrid car with a 16 gallon gas tank can travel 35 miles on battery alone and then it uses its gas. The car can then t
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!