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
Genrish500 [490]
3 years ago
13

Quadratic formula, SOMEONE PLEASE HELP (30 points)

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
6 0
1. to create your own quadratic you have to just make up any numbers. so off the top of my head:
y = -5x^2 + 10x - 3

2. the equation to find the x value of the vertex uses is the equation -b/2a. You may notice that this is similar to the quadratic formula except for you take away the plus or minus square root part. if you think about it, it makes sense that this would be the vertex because the plus or minus parts are an equal distance away from the center of the parabola. so using the form ax^2 + bx + c we can plug in the a and b:
x = -10/2 (-5)
x = -10/-10
x = 1

so we have x and can plug into equation to get y value:
y = -5 (1)^2 + 10(1) -3
y= -10 + 10 - 3
y = -3

vertex is at point (1, -3)

3. the axis of symmetry is the line that runs straight up and down at the center of a parabola. the center of the parabola is the vertex so the line runs straight up and down through vertex. for a line to run straight up and down it is a constant x value. since the x of the vertex is 1, the line is:
x = 1

4. using quadratic formula :
x = [-b (+-) sqrt (b^2 - 4ac)]/2a
we get:
x = [-10 (+-) sqrt (10^2 - 4 (-5)(-3)]/2 (-5)
x = [-10 (+-) sqrt (100 - 60)]/-10
x= [-10 (+-) sqrt (40)]/-10
x= [-10 (+-) 2* sqrt (10)]/-10
x= [5 (+-) sqrt (10)]/5

that is the answer. You can use a calculator to solve easily.

5. the discriminant is the solution to what is under the squareroot sign. so the square root part was:
sqrt (b^2 - 4ac)

so discriminant is :
b^2 - 4ac

so for this function it is:
10^2 - 4 (-5)(-3)

solving this the discriminant is 40
You might be interested in
Mrs Alivia’s bathroom is in the shape of a rectangle with a width of 6 feet. Her kitchen is in the shape of a rectangle with a w
Vedmedyk [2.9K]

Answer:

1. The length of the bathroom is equal to its width.  FALSE

2. Equation 2(x+6)=29 can be used to find the length of the bathroom, x.

TRUE

3. The legend of the bathroom is 11.5 feet.  FALSE

4. The equation 2 x+6=29 can be used to find the length of bathroom, x.

FALSE

5. The length of the bathroom is 8.5 feet. TRUE

Step-by-step explanation:

Here, given:

The width of the bathroom = 6 feet

The width of the kitchen = 10.75 ft

The perimeter of the bathroom = 29 feet

Let us assume the length of the bathroom =  k units

PERIMETER OF A RECTANGLE = 2 ( LENGTH + WIDTH)

Now, for the Mrs Avila's bathroom

29 feet  = 2 (k + 6)

⇒ 29  = 2k + 12

or, 2 k =  29 - 12 = 17

⇒ k = 17/2  = 8.5 feet

So, the length of the bathroom = 8.5 units

Now, let us consider the given statements:

1. The length of the bathroom is equal to its width.  FALSE

As here, Length= 8.5 units and width =   6 units

2. Equation 2(x+6)=29 can be used to find the length of the bathroom, x.

TRUE

3. The legend of the bathroom is 11.5 feet.

FALSE, the length of the bathroom is 8.5 units.

4. The equation 2 x+6=29 can be used to find the length of bathroom, x.

FALSE, the correct equation that can be used is  2x + 12  = 29

5. The length of the bathroom is 8.5 feet.

TRUE

5 0
3 years ago
Point M is the midpoint of segment AB. If AM = 50 – 3x and MB = –20 + 4x, find the value of AM
love history [14]
The answer to your question is 20
4 0
2 years ago
Read 2 more answers
A car traveld 32 miles in 4 hours at this rate how many miles will the car travel in 0.5 hours
Mandarinka [93]

Answer:

4 miles

Step-by-step explanation:

In order to find how many miles the car will travel in 0.5 hours, we can set up a proportion.

\frac{32}{4} = \frac{x}{0.5}

We can now cross multiply to find the value of x.

32 \cdot 0.5 = 16\\\\16\div4 = 4

So the car can travel 4 miles in 0.5 hours.

Hope this helped!

5 0
3 years ago
Read 2 more answers
( - 8)( - 4)(12)<br><br> I need help with this :)
Alisiya [41]

Answer:

= 384

Step-by-step explanation:

(-8)(-4)(12)

= (32)(12)

=384

8 0
2 years ago
Read 2 more answers
Find the probability of rolling a 6 on a number cube and flipping heads on a coin
serious [3.7K]

Assuming that the number cube is 6 sided

6 is one number in a 6 sided cube, so the probability is: 1/6

heads is one side of the coin, with two in all: 1/2

Multiply the two fractions together

1/6 x 1/2 = 1/12

1/12 is your probability

hope this helps

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is 12 lbs 5oz -7lbs 10oz
    11·2 answers
  • Find the value of 4^7/4^9<br> A.-16<br> B.1/16<br> C.1/8<br> D.8
    9·1 answer
  • 2+2=????????????????????????????????
    15·1 answer
  • What does | | around a number mean? <br><br>ex: |3|
    13·1 answer
  • Using English like form write an algorithm to find the area and perimeter of a rectangle
    10·1 answer
  • 3x-y=-5<br><br>5x+7y=29<br><br>Solve this for me using substitution pls
    5·1 answer
  • Pls help i am in 8th grade k12
    6·2 answers
  • Giana had $400 in her bank account on Monday. By Tuesday, her account had increased
    14·1 answer
  • Select the two values of x that are roots of this equation 2x^2-11x+15=0
    7·1 answer
  • 40 POINTS
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!