PLEASE HELP ASAPP!! WILL MARK BRAINLIEST (NO LINKS)

Find the axis of symmetry and
the
vertex of the graph of y = 3x^2
-18x + 17

PLEASE HELP ASAPP!! WILL MARK BRAINLIEST (NO LINKS)Find The Axis Of Symmetry Andthevertex Of The Graph

Answers

Answer 1

Answer:

vertex: (3, -10)

axis of symmetry:  x = 3

Step-by-step explanation:

Vertex form of a quadratic equation:  [tex]y=a(x-h)^2+k[/tex]

(where (h, k) is the vertex)

Rewrite the given equation in vertex form by completing the square.

Given equation:

[tex]y=3x^2-18x+17[/tex]

Add 10 to both sides:

[tex]y+10=3x^2-18x+27[/tex]

Factor RHS:

[tex]y+10=3(x^2-6x+9)[/tex]

[tex]y+10=3(x-3)^2[/tex]

Subtract 10 from both sides:

[tex]y=3(x-3)^2-10[/tex]

Therefore, the vertex is (3, -10)

The axis of symmetry is the x-value of the vertex.  
Therefore, the axis of symmetry is x = 3.

Answer 2

Answer:

Axis of symmetry: x = 3

Vertex: (3, -10)

Step-by-step explanation:

y = 3x² - 18x + 17

Axis of symmetry formula: x = [tex]\sf{\frac{-b}{2a}}[/tex]

a = 3b = -18

[tex]\sf x={\frac{-b}{2a}}\implies \textsf{Substitute -18 for b and 3 for a}\\\\\sf\ x={\frac{-(-18)}{2(3)}}\implies\textsf{multiplying 2 negatives makes a positive}\\\\\sf\ x={\frac{18}{6}}\implies \textsf{divide}\\\\\ \boxed{\sf x=3}\implies \textsf{axis of symmetry}[/tex]

Now, substitute 3 for x in your original equation to find the value of y:

y = 3x² - 18x + 17

y = 3(3)² - 18(3) + 17 <== exponents first

y = 3(9) - 54 + 17 <== multiply

y = 27 - 54 + 17 <== subtract

y = -27 + 17 <== add

y = -10

Vertex: (3, -10)

Hope this helps!


Related Questions

Find the perimeter and area of the shaded region.

Answers

Answer:

1. 144 m; 2. 720m²;

Step-by-step explanation:

1.

First we need to know how much edges are of the figure. Since there is 12, we need to multiple the length of an edge to how many of them are:

12 • 12 = 144 m

2.

Since one edge is 12 m, first calculate the plot of a little square (as there are 5 in the pic):

12 • 12 = 144 m² (one square)

Now we know that one square's plot is 144 m².

Since there is 5 of them, we need to multiply the plot 5 times, since there are five mini squares:

144 • 5 = 720 m²

Now we know the plot of the full figure.

One ticket from New York City to Paris cost $1,572. How much would it cost a family of 8 to fly from New York City to Paris?

Answers

Answer:

It's simple number of family here is 8 x the coast of 1 ticket

Step-by-step explanation:

1572 x 8 =12576

Answer:

$12,576

Step-by-step explanation:

You just have to multipy the cost of one ticket by 8.

Which graph represents the parametric equations x(t) = t – 4 and y(t) = t2 + 5 for –1 ≤ t ≤ 2?

Answers

Which graph indeed?

Eliminate the parameter:

x = t - 4   ⇒   t = x + 4

⇒   y = t² + 5 = (x + 4)² + 5

which is the equation of a parabola with vertex at (-4, 5) and opening upwards, plotted with domain

-1 ≤ t ≤ 2   ⇒   -1 ≤ x + 4 ≤ 2   ⇒   -5 ≤ x ≤ -2

Answer:

it is c

Step-by-step explanation:

pleasee help I would appreciate very!​

Answers

Answer:

D

Step-by-step explanation:

We can visually see the line going down so the slope is negative. (-30)

The y-intercept must be 120, because it does not intersect 90.

What is the slope of the line shown below?
(-4, 3)
(3, 1)
0 0
7
A. - 23
B.
c.
D-3

Answers

take two points  : (-4, 3), (3, 1)

[tex]\sf slope: \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]            where (x1, y1), (x2, y2)

Insert the following values

[tex]\hookrightarrow \sf \dfrac{1-3}{3-(-4)}[/tex]

[tex]\hookrightarrow \sf \dfrac{-2}{3+4}[/tex]

[tex]\hookrightarrow \sf -\dfrac{2}{7}[/tex]

(-4,3)(3,1)

slope:-

m=1-3/3-(-4)m=-2/3+4m=-2/7

The calculations for standard structural shapes are based on​

Answers

Answer: The nomenclature for steel shapes follows two standards: For wide flange, bearing pile, S-shapes, channels, and tees

tep explanation:

Help???? i’m not good w Algebra

Answers

Answer:

Answer A

Step-by-step explanation:

All equations except A end up as no solutions when put in an Algebra calculator

multiply then elimination
2x+y=3
-x+3y=-12​

Answers

Answer:

X = 3

Y = -3

Step-by-step explanation:

Find the area of the figure​

Answers

Answer:

132cm^2

Step-by-step explanation:

to solve for the area of this we can split it into smaller shapes and sum the areas afterward-

the top rectangle has an area equal to Length x Width

4x7 = 28cm^2

the centre rectangle is done similarly-

7x8 = 56cm^2

lastly the two triangles which are solved with base x height divided by two

now since we know that the centre piece is 7cm across, and that the two side triangles are equal in size, that means that we know the base to be 19-7 divided by 2 which gives 6 each-

[tex]\frac{(6)(8)}{2}[/tex] (2) = (6)(8) = 48cm

now summing them we have 28 + 56 + 48 = 132cm^2

132 cm^2
You do the part separately then add it together in the end

Pls help I will give brainliest.​

Answers

Answer:

50 yards

Step-by-step explanation:

This is a 3-4-5 triangle. You can use this shortcut to find the hypotenuse. (Multiply the3, 4, 5 by 10) OR

You could also use Pythagorean Theorem.

30^2 + 40^2 = h^2

900+1600=h^2

2500 = h^2

Squareroot.

50 = h

What is the total length of border needed in feet and
inches?

Answers

The total length of the border needed is 41 feet and 8 inches

Satellite
Mass
(kg)
An engineer is collecting data on
four different satellites orbiting
Earth. The engineer records the
satellites' distances from Earth in
kilometers (km) and their forces
due to gravity in Newtons (N).
Distance
(km)
4000
Force due to gravity
(N)
17000
1
700
2.
700
36000
3
1000
11000
4
1000
7000
8100
Estimate the values for the two
missing quantities. Enter your
estimates into the blank boxes in
the table.

Answers

The first missing quantity is force due to gravity, and it is 215.1 N.

The second missing quantity is distance between the statellite and the Earth, determined as 6,000 km.

Force between two masses

The force between two masses is determined by applying Newton's law of universal gravitation as shown below;

[tex]F = \frac{GMm}{R^2}[/tex]

where;

M is mass of Earth = 5.97 x 10²⁴ kgm is mass of the satelliteR is the distance between the satellite and the EarthG is universal gravitation constantFirst missing quantity

The first missing quantity is force due to gravity, and it is calculated as follows;

[tex]F = \frac{(6.67 \times 10^{-11} ) \times (5.97 \times 10^{24}) \times (700)}{(36,000 \times 10^3)^2} \\\\F = 215.1 \ N[/tex]

Second missing quantity

The second missing quantity is distance between the statellite and the Earth,

[tex]R^2 = \frac{GMm}{F} \\\\R^2 = \frac{(6.67 \times 10^{-11})(5.97 \times 10^{24})(1000)}{11,000} \\\\R^2 = 3.62 \times 10^{13}\\\\R = 6,000 \ km[/tex]

Learn more about Newton's law here: https://brainly.com/question/3999427

What is the value of digit 3 in 659.13 in words?

Answers

The value is three hundredths

3. Prove that the associative property holds true for (7/8 + 2/5) + 8/3​

Answers

Answer:

(7/2+2/5)+8/3

=(3.5+0.4)+2.66

=(3.9)+2.66

=6.56

so its 6.56

Step-by-step explanation:

7. If 60 gal. of oil flows through a pipe in 15 min., how long will it take to fill up
500 gal. tank? Answer in hours/min/sec.

Answers

Answer: 2 hours and 5 minutes .

Step-by-step explanation:60 divided by 3 is 20 and 20 gal= 5 minutes .

500 divided by 20 is 25 .25 times 5 minutes is 2 hours and 5 minutes

What is the area of the figure?

Answers

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width of the big square is 60cm. The length of the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

W

=

56

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

W

=

24

34

=

816

The area enclosed in the area of the big square minus the area of the little square.

3360

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

If $300 is invested at an interest rate of 3.5% per year , find the amount of the investment at the end of 15 years for the following compounding methods

Answers

52.5%. In 15 years.
You need to multiply 3.5 x 15 = 52.5%

what is the value of 0 in the number 9,603,450,503

Answers

Answer:

0

Step-by-step explanation:

0 x 10

0 x 1000

0 x 10 000 000              they all equal 0

Hey there!

9,603,450,503


“Nine billion six hundred three million four hundred fifty thousand five hundred three”


9,000,000,000

+ 600,000,000 

+ 00

+ 3,000,000 

+400,000 

+ 50,000 

+ 00

+ 500 

+ 00

+ 03 

9 = billions (9 billion)

,

6 = Hundred Millions (600 million)

0 = Ten Millions

3 = Millions (3 million)

,

4 = Hundred Thousands (400 thousand)

5 = TenThousands (50 thousand)

0 = Thousands

,

5 = Hundreds (5 hundreds)

0 = Tens

3 = ones (3)


So, therefore your answer(s) is/are:

• ten millions
• thousands
• tens


Good luck on your assignment & enjoy your enjoy your day!


~Amphitrite1040:)

30 POINTS
How many cubic feet of water canthi in-ground swimming pool design below hold?
A) 520 ft3
B) 528 ft3
D) 548 ft3
C) 550 ft3

Answers

Answer:

B.

Step-by-step explanation:

1) the volume can be calculated as sum:
V=V₁+V₂;

2) V₁=6*8*8=384 [ft³];

3) V₂=0.5*6*6*8=144 [ft³];

4) the required volume:

V=384+144=528 [ft³]

Probability which can be classified as an event

Answers

The probability of an event is the number of favorable outcomes divided by the total number of outcomes possible. Converting the fraction 35 to a decimal, we would say there is a 0.6 probability of choosing a banana. This basic definition of probability assumes that all the outcomes are equally likely to occur.

hope it helps...!!!

47 pts )Is this proportional or non- proportional a glacier
48/32 and 42/48
What’s the answer proportional or non proportional?

Answers

Let's simplify

48/32

Take 16

3/2

And

42/48

Take 6

7/8

No they are non proportional

Please answer the attachment!

Answers

I hope this helped
_______________

The perimeter of any shape is the length of all the sides added up:

1. For the rectangle

    [tex]6 + (3x - 1) + (3x - 1) + 6 = 6x - 2 + 12 =6x + 10[/tex]

2. For hexagon

   [tex]10.2 + (x+4)+(x+4)+10.2+(x+4)+(x+4)=4x + 16 + 20.4=4x + 36.4[/tex]

Hope that helps!

Students in Mrs. Curry's class recorded the amount of snowfall in January and February.

Snowfall in January (inches)
5, 3, 7, 1, 8, 4, 3, 6, 1, 5, 8
Snowfall in February (inches)
8, 4, 2, 6, 6, 3, 8
The class then made line plots of this data, but they made some mistakes. Which of the following are mistakes that the students made? Select all that apply.

A line plot named Please dont delete im having issues in my school please answer

Answers

Answer:

A and C

Step-by-step explanation:

What is 34107.12 to the nearest half centimeters? 

Answers

Answer:

34107cm

Step-by-step explanation:

ASAP PLEASE
Which statement below compares the decimals correctly?
NO LINKS PLEASE
A. 0.94 = 0.74
B. 0.74 > 0.94
C. 0.94 < 0.74
D. 0.74 < 0.94

Answers

Answer:

D. 0.74 < 0.94

Step-by-step explanation:

0.74 is less than 0.94 because 7 is less than 9. Plus that's just how math works

What is the length of segment NS?

1 unit
2 units
4 units
6 units

Answers

Answer:

4 units yan po sana makatulong

A number I divided by 3 is at most 5

Answers

Largest I is 15. Since 15/3 is 5. 5 times 3 is 15. Another way to prove is 5 plus 5 plus 5 is 15.
Please mark as the best!

Q. Solve using the quadratic formula x2 + 4x – 16 = 0 ?
-
answer choices
2 + 25
A
B 2 + 4V5
C -2 + 275
D -2 + 4V5

Answers

Answer:

Step-by-step explanation:

ax² + bx + c = 0

[tex]x_{1}[/tex] = [tex]\frac{-b - \sqrt{b^2 -4ac} }{2a}[/tex]

[tex]x_{2}[/tex] = [tex]\frac{-b+\sqrt{b^2 -4ac} }{2a}[/tex]

~~~~~~~~~~~~~~~~~~~

x² + 4x - 16 = 0

a = 1 , b = 4 , c = - 16

[tex]x_{1}[/tex] = ( - 4 - [tex]\sqrt{16+64}[/tex] ) ÷ 2 = - 2 - 4√5

[tex]x_{2}[/tex] = - 2 + 4√5

My math teacher randomly assigned this but it’s something far outta my range, I need some help!!!!!

Answers

If d=26 then r = d/2 = 13

...........................................

If d=26 and c=26pi, then the only variable you can find is r. To find r, know that r=d/2.
Now we can figure out that…
r=d/2
r=26/2
r=13
This means the answer is “then r=13”

What is the scale factor from ABC to DEF?

Answers

Answer:

C

Step-by-step explanation:

^

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