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
Travka [436]
2 years ago
12

X-intercept and y-intercepts og y=x^2-3

Mathematics
1 answer:
Rufina [12.5K]2 years ago
3 0

Answer:

Part 1) The y-intercept is the point (0,-3)

Part 2) The x-intercepts are the points (-\sqrt{3},0)\ and\ (\sqrt{3},0)

Step-by-step explanation:

we have

y=x^{2}-3

This is a vertical parabola open upward

step 1

Find the y-intercept

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

y=(0)^{2}-3

y=-3

The y-intercept is the point (0,-3)

step 2

Find the x-intercepts

we know that

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

x^{2}-3=0

solve for x

Adds 3 both sides

x^{2}-3+3=0+3

x^{2}=3

take square root both sides

x=(+/-)\sqrt{3}

so

The x-intercepts are the points (-\sqrt{3},0)\ and\ (\sqrt{3},0)

You might be interested in
The admission fee for a charity event is $7 for children and $10 for adults. The event was attended by 700 people and the total
Hitman42 [59]
X = 7
y = 10
x + y = 700
7x + 10y = 6400

10x + 10y = 7000
(-) 7x + 10y = 6400
______________
3x = 600
x = 200

200 + y = 700
y = 500
3 0
3 years ago
Grayson works in a department store selling clothing. He makes a guaranteed salary
MrRissso [65]

Step-by-step explanation:

a) $350 per week

20% commission on sales

For $925 in sales, commission is

20/100 × 925 = $185

Total earning = $350 + $185 = $535

b) For $x in sales, commission is

20/100 × x = 1/5 × x = x/5 or 0.2x

Total earnings = $350 + $ x/5 or $350 + $0.2x

4 0
3 years ago
A line passes through the points (5, –7.5) and has a y-intercept of 10. Which line has a rate of change that is less than this l
mafiozo [28]
It should be y=0.5x+10
3 0
3 years ago
Read 2 more answers
Select ALL the correct answers.
Marina CMI [18]

Answer:

The median of A is the same as the median of B.

The interquartile range of B is greater than the interquartile range of A.

Step-by-step explanation:

Given that:

A = number of runs allowed in first 9 games

A = {1, 4, 2, 2, 3, 1, 1, 2, 1}

Rearranging A : 1, 1, 1, 1, 2, 2, 2, 3, 4

Median A = 1/2(n + 1) th term

Median A = 1/2(10) = 5th term = 2

Q1 of A = 1/4(10) = 2.5th term = (1 + 1)/ 2 = 1

Q3 of A = 3/4(10) = 7.5th term = (2+3)/2 = 2.5

Interquartile range = Q3 - Q1 = 2.5 - 1 = 1.5

Number of runs allowed in 10th game = 9

B = {1, 4, 2, 2, 3, 1, 1, 2, 1, 9}

Rearranging B = 1, 1, 1, 1, 2, 2, 2, 3, 4, 9

Median A = 1/2(n + 1) th term

Median A = 1/2(11) = 5.5th term = (2+2)/2 = 2

Q1 of A = 1/4(11) = 2.75th tetm = (1 + 1)/ 2 = 1

Q3 of A = 3/4(11) = 8.25th term = (3+4)/2 = 3.5

Interquartile range = Q3 - Q1 = 3.5 - 1 = 2.5

Median A = 2 ; median B = 2

IQR B = 2.5 ; IQR A = 1.5 ; IQR B > IQR A

7 0
2 years ago
Find AB distance. Please help
Svet_ta [14]

Answer:

Solution,

Let,(x1,y1)=(-4,-3)

     (x2,y2)=(3,5)

Using distance formula,

AB=√(x2-x1)²+(y2-y1)²

    =√(3+4)²+(5+3)²

    =√49+64

    =√113 units.

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • You are converting 8 centimeters to meters
    13·2 answers
  • Use a model to divide 8 by 2/3 and find the quotient
    11·1 answer
  • Write these fractions from least to greatest 5/6 7/12 3/4
    6·2 answers
  • Probability and Statics QUESTION!!!! please help!!
    12·1 answer
  • Yolanda is buying supplies for school.she buys n packages of pencils at 1.40 per package and m pads of paper at 1.20 each. What
    7·1 answer
  • 1) in resulting equation what is the coefficient of the a term?
    15·1 answer
  • If 7^9/7^n = 7^3 , then n is _____.
    8·2 answers
  • Someone please me thank you
    11·1 answer
  • A jet travels 0.4 mile for each gallon of fuel, it has enough fuel left to travel 14.5 miles. How many gallons of fuel does it h
    15·1 answer
  • 9.36 as an improper fraction
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!