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
Delicious77 [7]
3 years ago
14

How would you limit the domain to make this function one to one f(x)=5-x^2

Mathematics
1 answer:
Maksim231197 [3]3 years ago
8 0

Answer:

  choose x ≥ 0 or x ≤ 0

Step-by-step explanation:

The vertex of the parabola is at x=0. If values of x are included from both sides of the vertex, the function will not pass the horizontal line test. So, the domain must be limited so that it does not include both positive and negative values of x.

The domain could be x ≥ 0, or x ≤ 0, or some subset of either of these intervals.

You might be interested in
46 out of 200 dogs are short haired breeds. What percent of dogs are not short haired breeds
Ivahew [28]

Hi!

46 out of 200 are short haired, which means that 200 - 46 = 154 out of 200 are not short haired. In percentages, that is:

154/200 = 77/100 = 77%

Hope this helps!

8 0
3 years ago
All the fourth-graders in a certain elementary school took a standardized test. A total of 85% of the students were found to be
Aneli [31]

Answer:

There is a 2% probability that the student is proficient in neither reading nor mathematics.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a student is proficient in reading

B is the probability that a student is proficient in mathematics.

C is the probability that a student is proficient in neither reading nor mathematics.

We have that:

A = a + (A \cap B)

In which a is the probability that a student is proficient in reading but not mathematics and A \cap B is the probability that a student is proficient in both reading and mathematics.

By the same logic, we have that:

B = b + (A \cap B)

Either a student in proficient in at least one of reading or mathematics, or a student is proficient in neither of those. The sum of the probabilities of these events is decimal 1. So

(A \cup B) + C = 1

In which

(A \cup B) = a + b + (A \cap B)

65% were found to be proficient in both reading and mathematics.

This means that A \cap B = 0.65

78% were found to be proficient in mathematics

This means that B = 0.78

B = b + (A \cap B)

0.78 = b + 0.65

b = 0.13

85% of the students were found to be proficient in reading

This means that A = 0.85

A = a + (A \cap B)

0.85 = a + 0.65

a = 0.20

Proficient in at least one:

(A \cup B) = a + b + (A \cap B) = 0.20 + 0.13 + 0.65 = 0.98

What is the probability that the student is proficient in neither reading nor mathematics?

(A \cup B) + C = 1

C = 1 - (A \cup B) = 1 - 0.98 = 0.02

There is a 2% probability that the student is proficient in neither reading nor mathematics.

6 0
3 years ago
An object at the top of a building with height 110 feet is thrown upward with an initial speed of 23 ft/s. Find its position z(t
alina1380 [7]

Answer:

Step-by-step explanation:

Given

Height of building is h=110\ ft

Initial upward velocity u=23\ ft/s

height of object is given by

z(t)=ut+\frac{1}{2}gt^2

but building is already at a height of 110 ft so z(t) must be given by

Z(t)=ut+\frac{1}{2}(-g)t^2+110

Z(t)=23\times t-\frac{1}{2}\times 9.8\times t^2

Z(t)=-16t^2+23t+110

Time when it hits is given by when Z(t)=0[/tex]

-16t^2+23t+110=0

t=\frac{-23\pm \sqrt{(23)^2-4\times (-16)\times 110}}{2\times (-16)}

t=\frac{-23\pm 87}{-32}

t=3.43\ s

6 0
3 years ago
What is the slope?<br>if possible can you explain?​
Mandarinka [93]

Answer:

m =  \frac{4}{5}

Step-by-step explanation:

The slope of a graph is also known as its gradient, which is the steepness of the graph.

If we are given two points on the line, we can find the slope by taking rise/ run, which is the ratio of the change in y-coordinate against the change in the x-coordinate. This can also be written as a formula:

\boxed{slope =  \frac{y1 - y2}{x1 - x2} }

☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

In this question, we are given the equation of the line. This equation is already in the slope-intercept form (y= mx +c) since the coefficient of y is 1 and all the other terms are on the other side of the equal sign. In the slope-intercept form, m is the slope while c is the y-intercept.

m= ⅘ since the coefficient of x is ⅘ in the given equation (when the equation is in the slope-intercept form).

6 0
2 years ago
The function m is given in three equivalent forms. Which form most quickly reveals the vertex
Rufina [12.5K]

Answer:

m (x) = -2(x-6)^2 +18

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Rectangle PQRS has vertices at P(-3, 5), Q(8, 5), R(8, 0) and S. The coordinates of point S are A) (5, 8) B) (0, 8) C) (-3, 0) E
    13·1 answer
  • A couple wants to have 5 kids. find the probability that they have at least one boy.
    6·1 answer
  • Write a formula for the maximum number of segments determined by n points
    9·2 answers
  • What is length of segment QR? (Show all work)
    14·1 answer
  • Solve for x or find x ​
    9·1 answer
  • Plz help me giving brainliest
    13·2 answers
  • F(x) = x^2. what is g(x)?
    13·1 answer
  • Elizabeth ate lunch and wanted to leave her waitress a 15% TIP. Her meal cost $8.95. How much money should Elizabeth leave total
    7·1 answer
  • Find slope of line (I need to see if you get the same answer as me to know if it’s right)
    8·2 answers
  • Given <br> m<br> ∥<br> n<br> m∥n, find the value of x.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!