What is the y-intercept of the parabola defined by y=−2x2+6x−8 and what is the equation of the axis of symmetry?

Answers

Answer 1

Answer:

y-intercept = (0, 8)

axis of symmetry= -b/2a

Step-by-step explanation:

Also when you want something to be squared use this symbol ^


Related Questions

4.
What is the result of (f X g)(x) if
f(x) = -3x + 11 and g(x) = 11x + 7?
( 33x² 100x - 77
(B 33x - 142x - 77
C -33x + 100x + 77
D -33x² + 142x + 77

Answers

Answer:

thank you

Step-by-step explanation:

thanks for the pts i need them sowwy

The perimeter of a rectangle is 162 cm. The length of the rectangle is eleven centimeters more than
four times the size of the width. What is the length and width of the rectangle?​

Answers

let

width = w

length = 4w + 11

2(length) + 2(width) = perimeter

2(4w + 11) + 2(w) = 162

8w + 22 + 2w = 162

10w + 22 = 162

10w = 140

w = 14 cm (WIDTH)

length = 4w + 11

length = 4(14) + 11

length = 56 + 11

LENGTH = 67 cm

The length is 4(14)+ 11 = 67 cm and width is 14 cm.

what is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Perimeter of rectangle = 162 cm

let the width be x .

then, the length is 4x+ 11

Thus, Perimeter of rectangle= 2(l + w)

162 = 2( 4x + 11 + x)

162 = 2( 5x +11)

81 = 5x+ 11

5x= 70

x= 14

Hence, the length is 4(14)+ 11 = 67 cm and width is 14 cm.

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ5

Solve the equation x2 – 18x= 40.

Answers

Answer:

x=−2 or x=20

Step-by-step explanation:

Answer:

x=20,-2

Step-by-step explanation:

Henry owns seven dogs each day splits 13 cans of dog food equal among the dogs what is the number of cans of dog food that each dog gets in one day?

Answers

Answer: 1.8 cans

Step-by-step explanation:

Answer:

1.85 cans of dog food.

Step-by-step explanation:

You need to divide 13 cans by 7 dogs.

What is the slope of the line graphed below

Find the equation of the line above. Write the equation in slope intercept form.

Answers

Slope is 1/3

Equation of the line is:

y = 1/3x - 8

Find the absolute maximum value of the function

Answers

Answer:

find ity yourself          -_______________-

Step-by-step explanation:

what is 39.5/4 if you tell me you get 45 points

Answers

Answer:

9.875

Step-by-step explanation:

Answer:

9.875

Step-by-step explanation:

get a calculator

What is -6 (-4y + 8)

Answers

your answer is 24y-28

Answer:

24y-48

btw just downloaded a app called YHomework it shows the steps

What is the volume of this composite solid?
2 m
8 m
3 m
5 m

Answers

Answer:

240

Step-by-step explanation:

2*8*3*5

Answer:

160

Step-by-step explanation:

a P e X

Select all the equations below that have a slope of -5.

A
y=2x−5

B
y=−5x+2

C
y=10−5x

D
y=10x−5

Answers

B. y=-5x+2 has a slope of -5.

F(x) = 2x-(x+6) for f(-3)

Answers

Plug in -3 for x
f(-3) = 2(-3) - (-3 + 6)
f(-3) = -6 - (3)
f(-3) = -9
Solution: f(-3) = -9
=n23 sorry if wrong..

what is a domain and range
and how do I find it ​

Answers

Answer: Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

I need help because i cant to answer on my own

Answers

It maybe C since the cube is labeled 1-6 and the coin can land on either heads or tails.

Ed is on a road trip. He has already traveled 206 miles and is driving at a rate of 66 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 636 total miles?

Answers

Answer:

B 66x+206=636

A model airplane is 18 centimeters long. If the actual airplane is
60 meters long, what scale was used to create the model.
QUICK PLZ ILL GIVE BRAINLIEST

Answers

Answer:

13 so yeah it correect

please help, the assignment is in the photos

Answers

7. I

8. Don’t

9. Care

what is the measure

Answers

Answer:

Step-by-step explanation:

t+t+10+t+20=180

3t+30=180

3t=180-30=150

t=150/3=50

t+20=50+20=70

exterior angle=180-70=110°

Need help with these 2

Answers

Answer:

1)(6,4)

11+1=12/2 =6

6+2=8/2=4

Solve the equation M^2+4m+9=0.

Fully simplify all answers including non real solutions

Should end up with an answer like M=

Answers

Answer:

2 solutions:

1) m =(4-√52)/2=2-√ 13 = -1.606

2) m =(4+√52)/2=2+√ 13 = 5.606

Step-by-step explanation

The first term is,  m2  its coefficient is  1 .

The middle term is,  -4m  its coefficient is  -4 .

The last term, "the constant", is  -9

Step-1 : Multiply the coefficient of the first term by the constant   1 • -9 = -9

Step-2 : Find two factors of  -9  whose sum equals the coefficient of the middle term, which is   -4 .

     -9    +    1    =    -8

     -3    +    3    =    0

     -1    +    9    =    8

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step 1:

 m2 - 4m - 9  = 0  

STEP 2:

Parabola, Finding the Vertex:

2.1      Find the Vertex of   y = m2-4m-9

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Am2+Bm+C,the  m -coordinate of the vertex is given by  -B/(2A) . In our case the  m  coordinate is   2.0000  

Plugging into the parabola formula   2.0000  for  m  we can calculate the  y -coordinate :

 y = 1.0 * 2.00 * 2.00 - 4.0 * 2.00 - 9.0

or   y = -13.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = m2-4m-9

Axis of Symmetry (dashed)  {m}={ 2.00}

Vertex at  {m,y} = { 2.00,-13.00}

m -Intercepts (Roots) :

Root 1 at  {m,y} = {-1.61, 0.00}

Root 2 at  {m,y} = { 5.61, 0.00}

Add  9  to both side of the equation :

  m2-4m = 9

Now the clever bit: Take the coefficient of  m , which is  4 , divide by two, giving  2 , and finally square it giving  4

Add  4  to both sides of the equation :

 On the right hand side we have :

  9  +  4    or,  (9/1)+(4/1)

 The common denominator of the two fractions is  1   Adding  (9/1)+(4/1)  gives  13/1

 So adding to both sides we finally get :

  m2-4m+4 = 13

Adding  4  has completed the left hand side into a perfect square :

  m2-4m+4  =

  (m-2) • (m-2)  =

 (m-2)2

Things which are equal to the same thing are also equal to one another. Since

  m2-4m+4 = 13 and

  m2-4m+4 = (m-2)2

then, according to the law of transitivity,

  (m-2)2 = 13

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (m-2)2   is

  (m-2)2/2 =

 (m-2)1 =

  m-2

Now, applying the Square Root Principle to  Eq. #2.2.1  we get:

  m-2 = √ 13

Add  2  to both sides to obtain:

  m = 2 + √ 13

Since a square root has two values, one positive and the other negative

  m2 - 4m - 9 = 0

  has two solutions:

 m = 2 + √ 13

  or

 m = 2 - √ 13

 

Solving    m2-4m-9 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  m  , the solution for   Am2+Bm+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

                                   

           - B  ±  √ B2-4AC

 m =   ————————

                     2A

 In our case,  A   =     1

                     B   =    -4

                     C   =   -9

Accordingly,  B2  -  4AC   =

                    16 - (-36) =

                    52

Applying the quadratic formula :

              4 ± √ 52

  m  =    —————

                   2

Can  √ 52 be simplified ?

Yes!   The prime factorization of  52   is

  2•2•13

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 52   =  √ 2•2•13   =

               ±  2 • √ 13

 √ 13   , rounded to 4 decimal digits, is   3.6056

So now we are looking at:

          m  =  ( 4 ± 2 •  3.606 ) / 2

Two real solutions:

m =(4+√52)/2=2+√ 13 = 5.606

or:

m =(4-√52)/2=2-√ 13 = -1.606

solve (x - 3)^2 = 81 quadratic equation ​

Answers

Answer:

x=12

Step-by-step:

Square root both sides to get

x-3=9

Then take 3 to the other side

x=9+3

x=12

Your answer should be X=12,-6

4a2 - 1
c) 2а – За – 2​

Answers

I think that’s factoring

0.052 divided by blank equals 0.052

Answers

Answer:

0.002704

Step-by-step explanation:

You just multiply 0.052 by itself

then divide the answer by 0.052

Classify the triangle​

Answers

Answer: B I believe

Step-by-step explanation:

Answer:

Isosceles becuase there are 2 equal sides but 1 side is different.

What is the perimeter of the trapezoid?
units.

Answers

Answer:

20 units

Step-by-step explanation:

perimeter of the given trapezoid = 7 + 4 + 4 + 5

                                                      = 20 units

                                             (see image below)

                                                     

WILL GIVE BRAINLIEST POINTS AND LIKES AND FIVE STARS!!!!
Which is a correct statement about the description “six less than the quotient of a number cubed and nine, increased by twelve” when n = 3? Check all that apply.

The correct expression is 6 minus StartFraction n cubed Over 9 EndFraction + 12.
The correct expression is StartFraction n cubed Over 9 EndFraction minus 6 + 12.
One of the steps to determining the value when n = 3 is 3 minus 6 + 12.
One of the steps to determining the value when n = 3 is 6 minus 3 + 12.
The value when n = 3 is 7.
The value when n = 3 is 9.
The value when n = 3 is 15.
The value when n = 3 is 17.

Answers

Option 2 is correct.The value when n= 3 is 9

Could i have branliest and heart pls

Answer:

The value when n = 3 is 9

Step-by-step explanation:

I ANSWERD FIRST

which is the estimate quotient for 530÷9​

Answers

59 ......................................................

Answer:

55

Step-by-step explanation:530 would be rounded to 550 and 9 would be rounded to 10

550 divided by 10 is 55

Pls give me brainliest if this helps

A doctor orders 2000 units of subcutaneous heparin to be administered to a patient, The label is 5000 units/ml. How many milliliters will be
administered?

Answers

Answer:

0.4 mL

Step-by-step explanation:

I was able to do this in my head, but...

If you just take the fraction of 2000 units/5000 units/mL, then the units will cancel out and you're essentially left with 2000/5000 mL. 2000/5000 can be reduced to 2/5, and as a decimal, 2/5 comes out to 0.4 or 40%.

So, 0.4 mL (about half) would be administered to the patient.

b) 7p + 6q- 2p + q = ?

Answers

[tex]7p + 6q - 2p + q \\ = (7p - 2p) + (6q + q) \\ = 5p + 7q[/tex]

Answer:

5p+7q is the answer

Step-by-step explanation:

mi hermana necesita ayuda​

Answers

Answer:

Leaf is 8

Pumpkin is 0

Coffee is 16

Step-by-step explanation:

ASAP please help me I need this quick
The question and answers are in the picture

Answers

Thé correct answer is the third one
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