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
mestny [16]
3 years ago
15

Use the parabola tool to graph the quadratic function y=-1? - 2.0 +8

Mathematics
1 answer:
Andreas93 [3]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

I don't have graphing facilities but can give you the vertex and 1 other point.

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - \frac{b}{2a}

y = - x² - 2x + 8 ← is in standard form

with a = - 1 and b = - 2 , then

x = - \frac{-2}{-2} = - 1

Substitute x = - 1 into the equation for corresponding value of y

y = - (- 1)² - 2(- 1) + 8 = - 1 + 2 + 8 = 9

vertex = (- 1, 9 )

To obtain another point substitute any value for x into the equation

x = 0 : y = 0 - 0 + 8 , then (0, 8 ) is a point on the graph

x = 2 : y = - (2)² - 2(2) + 8 = - 4 - 4 + 8 = 0  then (2, 0 ) is a point on the graph

You might be interested in
Helpppppppp pls help .
dsp73

Answer: X= 1 2 3 4  Y= 5 8 11  14

Step-by-step explanation: i tried my best

5 0
2 years ago
Read 2 more answers
A test has 20 true/false questions. What is the probability that a student passes the test if they guess the answers? Passing me
Minchanka [31]

Using the binomial distribution, it is found that:

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.

For each question, there are only two possible outcomes, either the guess is correct, or it is not. The guess on a question is independent of any other question, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • There are 20 questions, hence n = 20.
  • Each question has 2 options, one of which is correct, hence p = \frac{1}{2} = 0.5

The probability is:

P(X \geq 15) = P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 15) = C_{20,15}.(0.5)^{15}.(0.5)^{5} = 0.0148

P(X = 16) = C_{20,16}.(0.5)^{16}.(0.5)^{4} = 0.0046

P(X = 17) = C_{20,17}.(0.5)^{17}.(0.5)^{3} = 0.0011

P(X = 18) = C_{20,18}.(0.5)^{18}.(0.5)^{2} = 0.0002

P(X = 16) = C_{20,19}.(0.5)^{19}.(0.5)^{1} = 0

P(X = 17) = C_{20,20}.(0.5)^{20}.(0.5)^{0} = 0

Then:

P(X \geq 15) = P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.0148 + 0.0046 + 0.0011 + 0.0002 + 0 + 0 = 0.0207

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.

You can learn more about the binomial distribution at brainly.com/question/24863377

6 0
3 years ago
Consider the following system of equations.
34kurt

Answer:

  D. The graphs of the equations intersect each other at two places.

Step-by-step explanation:

The definition of a solution of a system of two equations in two variables is a point where the graphs intersect. A system of equations having graphs that intersect each other will have as many solutions as there are intersection points. If the graphs intersect in two places, there will be two solutions.

8 0
3 years ago
What is the value of 5 + -2​
Sidana [21]

Answer:

3

Step-by-step explanation:

5 is greater than 2 and two is negative so the answer is positive

8 0
2 years ago
T/F every function is a relation
sammy [17]
True
Every function is a relation, but not every relation is a function.

Hope this helps :)
4 0
3 years ago
Read 2 more answers
Other questions:
  • 1/12 divided by 1/3 answer plzzzzzzzzzz
    12·2 answers
  • Can someone please correct me if im wrong ? Thanks
    6·2 answers
  • What is the value of 5 - 12?
    8·2 answers
  • 72 ounces in 6 steaks
    6·2 answers
  • The injection molding department of a company uses an average of 30 gallons of special lubricant a day. The supply of the lubric
    5·1 answer
  • Please help me i will give brianliest
    8·1 answer
  • Complete the explanation on why it is a good idea to use multiple samples when making comparative inferences about two populatio
    13·1 answer
  • Find the Surface Area of the following figure.<br><br> a. 64 <br> b . 32
    14·2 answers
  • Please select the word from the list that best fits the definition
    12·2 answers
  • Its so hard can you guys help
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!