X ^2 -10x+9 find the Axis of symmetry and vertex

Answers

Answer 1

Step-by-step explanation:

the function is

x² - 10x + 9

the x value for the axis of symmetry of a quadratic equation is

ax² + bx + c

x = -b/(2a)

in our case

a = 1

b = -10

x = - -10/2 = 10/2 = 5

x=5 is the axis of symmetry.

for the vertex we need also the y :

y = 5² - 10×5 + 9 = 25 - 50 + 9 = -16

the vertex is

(5, -16)


Related Questions

Sally can paint a room in 4hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together.


It would take ___ hours.
(Type an integer of decimal rounded to one decimal place as needed)

Answers

Answer:It would take 1.700 hours.

Step-by-step explanation:

Answer:

Step-by-step explanation:     then it would be 7 or 9 hours

So my math teacher is the type that if you don’t show your work you don’t get credit and well I for my work paper at home and she’s strict so I’m not sure what to say tomorrow to her since she also my home room teacher… does anyone have any excuse I could use that would work on her?

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Tell her you did it on a separate sheet of paper at home and you threw it away because you thought you didn’t need it.

The value of Y varies jointly with x and z, and Y=60 when x=3 and z=5. find the equation that represents this relationship

Answers

Might be y = 4 x z

Hope it helps!

Simplify square root of negative 64

Answers

Answer:

8 i

Step-by-step explanation:

Answer:

8 i

Step-by-step explanation:

for sure not 8 because i got it wrong on the test

Help me with this answer please​

Answers

Answer:

There is 8 blue sweets and 4 red sweets.

Step-by-step explanation:

There is only blue and red sweets.

There is 12 sweets in total.

There is two times as many blue sweets as red sweets

There is 8 blue sweets and 4 red sweets.

PLS HELPPPPPP NOWEW!!!!

Answers

Answer:

nasaan ung question ha how


[tex] \frac{dh}{dt} = - \sqrt{5h} [/tex]

Determine
[tex] \frac{ {d}^{2}h }{d {t}^{2} } [/tex]
at h=16


I have attempted this and keep on getting about -0.28, but that is not an option.​

Answers

If

[tex]\dfrac{dh}{dt} = -\sqrt{5h} = -\sqrt{5} \cdot h^{\frac12}[/tex]

then its derivative, using the power rule, is

[tex]\dfrac{d^2h}{dt^2} = -\sqrt{5} \cdot \dfrac12 h^{1-\frac12} = -\dfrac{\sqrt5}2 h^{-\frac12} = -\dfrac{\sqrt5}{2\sqrt h} = -\sqrt{\dfrac{5}{4h}}[/tex]

At h = 16, the second derivative has a value of

[tex]-\sqrt{\dfrac{5}{4\cdot16}} = -\sqrt{\dfrac{5}{64}} = -\dfrac{\sqrt5}{8} \approx -0.279508[/tex]

Your answer is essentially correct. Either what you submitted doesn't have enough precision or you're expected to give an exact answer (-√5/8).

At a restaurant, the bill comes to $75. You decide to leave a 15% tip. What is the total amount you will owe for dinner and tip?

Answers

Answer:

75*.15=11.25 (tip amount)

75+11.25= $86.25 (total amount)

Julie has 300ml of juice, She gives of the juice away.
How much juice does she give away?

Answers

Answer: Up to 300 ml because that is all she has in total. I think the question is missing parts.

Step-by-step explanation:

A hiker is at an elevation of 238 feet above sea level. He climbs downward until his elevation has decreased by 144 ft. Which expression can be used to determine his current elevation above sea level?

Answers

Answer:

Based on the given conditions, formulate:

238

144

Calculate the sum or difference:

94

get the result:

94

Answer: Step-by-step explanation:

Find the value of the following expression:

(28 ⋅ 5−5 ⋅ 190)−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 228 (5 points)

Write your answer in simplified form. Show all of your steps. (5 points)

Answers

Answer:

25

Step-by-step explanation:

Answer:

5^2 = 25

Step-by-step explanation:

The volume of a gas in cubic centimeters, V, varies inversely with the
pressure of the gas in liters per square centimeter, p.
When the volume of the gas is 16 cm, its pressure is 20 L/cm2. Find the
volume of the gas when the pressure is 2.5 L/cm2
A. 322.5 cm
B. 800 cm3
C. 128 cm3
D. 0.008 cm

Answers

Answer:

C. 128 cm³

Step-by-step explanation:

16(20) = 320

320/2.5 = 128 cm³

Evaluate 4 + 2(x + 6)2 for x = -3. A. 18 B. 12 C. 22 D. 54​

Answers

B

dont trust me on this i solved it but i got a completely different answer which is not on the list. I got 6 as the answer.

Mikayla borrowed $ 40 from her mom . The function y = - 8x + 401 represents her outstanding balance y after x weekly payments, find the zero of the function.

Answers

Answer:

[tex]\frac{401}{8}[/tex]

Step-by-step explanation:

[tex]\sf{y\:can\:also\:be\:refered\:to\:as\:f(x)}[/tex]

[tex]\sf{Zeros\: are\: also\: called\: roots.}[/tex]

The roots (zeros) are the [tex]x[/tex] values where the graph intersects the [tex]x[/tex]-axis. To find the roots (zeros), replace [tex]y[/tex] with 0 and solve for [tex]x[/tex].

[tex]y = - 8x + 401\\\\0 = - 8x + 401\\[/tex]

[tex]-8x+401=0\\\\-8x+401-401=0-401\\\\-8x=-401\\\\\frac{-8x}{-8}=\frac{-401}{-8}\\\\x=\frac{401}{8}[/tex]

[tex]\sf{Therefore,\: the\: zero\: of\: this\: function\: is\: \frac{401}{8}[/tex]

Help me please
Using table determine equation for the table

Answers

Answer:

slope = 0.06

cost of plan = $45.44

Step-by-step explanation:

 cost of plan*

The question in the image! Please hurry :D

Answers

Answer:

8.85 * 10 ^17

Step-by-step explanation:

8.2 * 10 ^17 + 6.5 * 10 ^16

They must be to the same power to add

8.2 * 10 ^17 + .65 * 10 ^17

Add

8.85 * 10 ^17

A wedding ring costs £13000. Work out the price after a 11% price increase

Answers

14430

13,000 x 1.11 (111%) = 14430

Answer:

Step-by-step explanation:

Increased price = 11% of   £ 13000

                          = 0.11 * 13000

                           = 1430

Price after increase = 13000 + 1430 =  £ 14,430

What's the present value of $9,500 discounted back 5 years if the appropriate interest rate is 4.5%, compounded semiannually?

Answers

Answer:

$427.50

Step-by-step explanation:

I think this is the answer because 4.5 percent of $9,500 is $427.50

A recipe calls for 1 1/2 teaspoons of cinnamon to make 2 dozen oatmeal cookies.
How many teaspoons of cinnamon are needed to make 60 oatmeal cookies?

please help

Answers

3 3/4

I need to type more, this is just filler. Ignore it.

Write the equation of the line that passes through the points (8,3) and (7,3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line

Answers

Step-by-step explanation:

the equation :

(y-3)/(3-3) = (x-8) /(7-8)

(y-3) /0 = (x-8) /(-1)

(-1)(y-3) = 0(x-8)

-y +3 = 0

y = 3

(this is a horizontal line)

Answer:

y = 3 (Horizontal line)

Step-by-step explanation:

point: (8, 3) and (7, 3)

(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)

(y - 3)/(3 - 3) = (x - 8)/(7 - 8)

(y - 3)/0 = (x - 8)/(-1)

(-1)(y - 3) = 0

-y + 3 = 0

-y = - 3

y = 3 (Horizontal line)

Please look at the picture for question.

Answers

Answer:

j = 6

Step-by-step explanation:

(5 + 3)6 = 48

     (8)6 = 48

       48 = 48

what is 20/10 as a whole number

Answers

20/10 is same as 20:10 so the whole number is 2

Hi there!

The answer is 2

If you divide 20 by 10, you will get 2 (it's a fact)

Hope it helps

~Just a joyous teen

#CarryOnLearning

Answered by

[tex]-SilentNature-[/tex]

-5a - 2.2 <17.8? Solve for a

Answers

Answer:

To solve for the value of a, you have to isolate “a“ on one side.

-5a - 2.2 < 17.8

Add 2.2 to both sides.

-5a < 20

Divide both sides by -5. Note: when you are dividing by a negative number, the direction of the sign switches.

a > -4

:)

if A:B=1/2:1/3, and B:C is 1/2:1/3, what is A:B:C?
(a) 2:3:3
(b) 1:2:6
(c) 3:2:6
(d) 9:2:4

Answers

Answer:

Step-by-step explanation:

C)3:2:6

ANSWER!!! now please

Answers

Answer:

C) 85.0º

Step-by-step explanation:

a+2a+a+10=180

3a+10=180

3a=180-10

3a=170

a=42.5

a+10=52.5

2a=85

Answer:

B

Step-by-step explanation:

This population chart represents linear or exponential growth?

•linear
•exponential

Answers

This is Linear graph.

Linear graph is represented in the form of a straight line. ... If the graph of any relation gives a single straight line then it is known as a linear graph. The word "linear" stands for a straight line. The linear graph is a straight line graph that is drawn on a plane connecting the points plotted on x and y coordinates.

- BRAINLIEST answerer

Find the area of the shaded region. Round your answer to the nearest hundredth.

12=side length

The area of the shaded region is about — square units.

How do you find the area of the shaded region? Thank you!

Answers

Answer:

Step-by-step explanation:

Divide 360 by the number of sides in a regular polygon to find θ

θ = 360/5 = 72°

Use law of cosines to find the radius of the circle which equals the common length sides of the isosceles triangle

12² = R² + R² - 2•R•Rcos72

12² = 2R² - 2R²cos72

12² =  2R²(1 - cos72)

R² = 12² / 2(1 - cos72)

R² = 104.1993788...

R = 10.2078...

The height of the isosceles triangle is

h = Rcos(θ/2) = 10.2078cos(72/2) = 8.258291...

The shaded area is the area of the circle minus the area of the pentagon.

A = π(104.1993) - 5(½(12)(8.258291))

A = 327.35200... - 247.74874...

A = 79.6032575...

A = 79.60 units²

The Area of the shaded region is A = 79.60 units²

What is law of Cosine?

A planar triangle's side's square is equal to the sum of the squares of the other sides minus the product of those sides and the cosine of the angle that separates them by two.

Given:

length= 12

So, Divide 360 by the number of sides in a regular polygon

θ = 360/5

θ = 72°

Use law of cosines

12² = R² + R² - 2 x R x Rcos72

12² = 2R² - 2R² cos72

12² =  2R²(1 - cos72)

R² = 12² / 2(1 - cos72)

R² = 104.1993788...

R = 10.2078...

Thus, the height of the isosceles triangle is

h = R cos(θ/2)

   = 10.2078cos(72/2)

   = 8.258291...

and, the shaded area is

A = π(104.1993) - 5(½)(12)(8.258291))

A = 327.35200 - 247.74874

A = 79.6032575

A = 79.60 units²

Learn more about Law of Cosine here:

https://brainly.com/question/17289163

#SPJ2

Need help with this 3 questions

Answers

Answer:

  68. (-1, 0)

  69. (0, 2)

  70. (2, -1)

Step-by-step explanation:

The solution is the ordered pair (x, y) where the lines intersect. The graphs have no scale, so we must assume 1 grid space corresponds to 1 unit.

The first coordinate of the pair is the horizontal distance from the y-axis. Positive is to the right. The second coordinate of the pair is the vertical distance from the x-axis. Positive is up.

68. The point of intersection is 2 left of the origin on the x-axis. x=-2, y = 0.

  (x, y) = (-2, 0)

__

69. The point of intersection is 2 up from the origin on the y-axis: y = 2, x = 0.

  (x, y) = (0, 2)

__

70. The point of intersection is 2 right and 1 down from the origin: x = 2, y = -1.

  (x, y) = (2, -1)

_____

It is a good idea to learn to read the coordinates of a point from a graph. You will be doing it a lot in your math courses.

Hello can someone help me please

Answers

9514 1404 393

Answer:

  C(3, -2)

  D(1, 7)

Step-by-step explanation:

It looks like your tool will do the rotation for you and give you the coordinates. The image(s) should look like the attached.

⅜, ¼, ⅞ order in rational numbers

Answers

Answer:

7/8>3/8>1/4

Step-by-step explanation:

because 7/8=0.875

3/8=0.375

1/4=0.25

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