Find the equation of the axis of symmetry of the following parabola algebraically,
y = 3x^2+18

Answers

Answer 1

Answer:

Step-by-step explanation:

Vertex-form equation for vertical parabola:

 y = a(x-h)² + k

with

 vertex (h,k)

 axis of symmetry: x = h

Apply your equation

y = 3x² + 18

vertex (0,18)

axis of symmetry: x = 0


Related Questions

Help with this most detailed answer gets Brainliest!!!

Answers

Answer:

D) 2/3

Step-by-step explanation:

Constant of proportionality formula:

k = y/x

8/12 = 2/3

10/15 = 2/3

12/18 = 2/3

14/21 = 2/3

How many cubes with side lengths of 1/4 cm does it take to fill the prism?

Answers

the answer is 224 (: !
It’s 224!! Hope it helps!

8. 150 litres of water flows through a pipe in 6 minutes. Through the same pipe 200
litres of water flows in 8 minutes. Are the quantity of water flown and the time
taken are in proportion?​

Answers

Answer:

Yes,they are in proportion

Step-by-step explanation:

We are told that 150 litres of water flows through a pipe in 6 minutes.

Thus means that the rate of flow = 150/6 = 25 litres/minutes

Now, we are also told that through the same pipe, 200 litres of water flows in 8 minutes. This means that the rate of flow = 200/8 = 25 litres/minutes

Now, the rate of flow is both instances is the same. Thus, we can say they are in proportion because;

Proportion of quantity in both instances = 200/150 = 4/3.

while that of time = 8/6 = 4/3

They have the same proportion

Enter an expression for the perimeter of the given figure. Simplify the expression.

10.2 in.x + 2 in.x + 2 in.x + 2 in.x + 2 in.10.2 in.


The perimeter of the figure is inches.

Answers

Answer:

4x + 28.4 in.

Step-by-step explanation:

perimeter = sum of lengths of sides

perimeter = x + 2 + x + 2 + x + 2 + x + 2 + 10.2 + 10.2

perimeter = 4x + 28.4

Who is life insurance best suited for?
A. Children
B. People with debt
C.Doctors
D. College students

Answers

A. Children……………………….
college students or children? seems obvious

The distance between Dania and Hollywood is shown on the map. What is the actual distance between Dania and Hollywood?
please help it is due in 15 min

Answers

Answer:

15 miles

Step-by-step explanation:

If there are 2.5 inches and 1 inch is 6 miles, then just multiply 6 by 2.5 to get 15

6*2.5=15

for the second question the options are: 71034, 71034000, 710.34 and 7013.4

Answers

Answer:

[tex]0.0005[/tex] [tex]= 5 * 10^{-4[/tex]

[tex]7.1034 * 10^3 = 7103.4[/tex]

Step-by-step explanation:

Solving (a):

[tex]0.0005[/tex]

Standard form is represented as:

[tex]a * 10^n[/tex] where [tex]1 \le a \le 10[/tex]

Move the decimal point to 5 and count the number of times the decimal point is moved forward (forward represents negative).

So:

[tex]a = 5[/tex]

[tex]n = -4[/tex]

Hence:

[tex]0.0005[/tex] [tex]= 5 * 10^{-4[/tex]

Solving (b):

[tex]7.1034 * 10^3[/tex]

Express [tex]10^3[/tex] as [tex]1000[/tex]

This gives:

[tex]7.1034 * 10^3 = 7.1034 * 1000[/tex]

[tex]7.1034 * 10^3 = 7103.4[/tex]

Plz I need help Plz I need help Plz I need help Plz I need help Plz I need help!!!!!!!!!!!!!!!!!!!!!!

Answers

what do u need help with like what’s the question

Step-by-step explanation:

I dont think those are wuestiojs to be answered. Probably questions on how the equation is solved

Please show an explanation

Answers

Answer:

Step-by-step explanation:

1) Let x be the number of adults and y be the number of students

x + y = 8 --------------(I)

        y = 8 -x

7.25x + 5.50y = 52.75 ----------------(II)

Substitute y = 8 -x in equation (II)

7.25x + 5.5*(8 - x) = 52.75

7.25x + 5.5*8 - x*5.5 = 52.75

7.25x +  44 - 5.5x = 52.75

7.25x - 5.5x + 44 = 52.75

             1.75x + 44 = 52.75

                  1.75x    = 52.75 - 44

                       1.75x = 8.75

                           x = 8.75/1.75

x = 5

Plugin x = 5 in equation 1

y = 8 - 5

y = 3

2)  x = y + 24

x + y = 180   {Supplementary}

y + 24 + y = 180

2y + 24 = 180

      2y = 180 - 24

     2y =  156

        y = 156/2

y = 78

x = 78 + 24 = 102

Which of the following ordered pairs are solutions to the system of
inequalities? Check all that apply.
2x < y
y>7
O A. (1,9)
I B. (5,5)
C. (-1, 10)
D D. (0,0)
E. (8, 2)
F. (17,50)

Answers

Answer:

A,C, F

Step-by-step explanation:

y> 7 so,

eliminating B,D and E

now, for A, 2×1 < 9

for C, 2×-1<10

for F, 2× 17< 59

How do you locate and label fractions on the number line

Answers

Answer:

2 3 4 parts because it is split into 4 parts you know your denominator. Will be 4. Now let's look at the blue number line this number line is split into.

Step-by-step explanation:

i hope mkatulong.

9
What is the slope of the line whose equation is 2x – 4y = 9?
a) 1
2
c) 2
d) 3
solotion​

Answers

Answer:

m = 1/2

Step-by-step explanation:

The given equation of line is :

2x – 4y = 9 ..(1)

We need to find the slope of the line. The general equation of a line is given by :

y = mx + c ..(2)

Where

m is the slope of line

Equation (1) can be rearranged as follow :

-4y = 9-2x

4y = -9+2x

or

4y = 2x-9

Divide both sides by 4.

[tex]\dfrac{4y}{4} = \dfrac{2x}{4}-\dfrac{9}{4}\\\\y=\dfrac{1}{2}x+(\dfrac{-9}{4})[/tex] ..(3)

Now comparing equation (2) and (3) we get :

[tex]m=\dfrac{1}{2}[/tex]

So, the slope of the line is 1/2.

What conclusion can you draw about the conditional relative frequency of the results? There is no association between supporting the tax and gender. A resident in the group who supports the tax is likely to be female. A resident in the group who supports the tax is likely to be male.

Answers

Answer:

C or A resident in the group who supports the tax is likely to be male

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

Edg 2021

-.25 x+1.3=-.55x-.2 find x

Answers

you need to isolate the variable my dividing each side by factors that don’t contain the variable
x=-5

x- 6= -10

what does x=

Answers

the answer would be -4

Write a function rule for the relationship between the amount of plant food remaining, f(x), and the number of days that have passed, x. Type the correct answer in the box.

Answers

Answer:

f(x) = 72-12x

Step-by-step explanation:

this might be too late but it could be useful for future people

Answer:

f(x) = 72-12x

took a while to solve.......

0.45x10=
yuhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

i think it is 4.5

i hope it helps

Answer:

4.5

Hope I helped

can some one please write the answers on the pdf

Answers

I don’t see a question

The manager of a large grocery store wants to inspect an incoming shipment of oranges to determine the
proportion of blemishes. One inspector, Mary, takes a random sample of 25 oranges, and another inspector, Pat,
takes a random sample of 50 oranges. Which of the following statements about variability of the sample proportion
is correct?
The variability of the proportion of blemishes for Mary's sample will be less than the variability of Pat's.
The variability of the proportion of blemishes for Mary's sample will be greater than the variability of Pat's.
The variability of the proportion of blemishes for Mary's sample will be the same as the variability of Pat's.
Since the two inspectors took two different samples, there is no way to compare the variability of the two samples.

Answers

Answer:

b

Step-by-step explanation:

The variability of the proportion of blemishes for Mary's sample will be greater than the variability of Pat's.

Explain how to graph x=5

Answers

Answer:

Where is 5 on the X axis? Theres your answer!

Step-by-step explanation:

Plz give crown, hearts, and stars. Comment if i did good. Have a great week! Your welcome and thx!

Answer:

look at the horizontal line and find 5, mark it, that is x=5

a real number that is not a natural​

Answers

Answer:

Irrational numbers: Real numbers that are not rational. Purely imaginary numbers: Numbers that equal the product of a real number and the square root of −1. The number 0 is both real and purely imaginary. ): Includes real numbers, imaginary numbers, and sums and differences of real and imaginary numbers.

Answer: well it  natural because it is exist

Step-by-step explanation:

GIVING BRAINLIEST PLEASE HELP

Answers

Answer:

1/3

Step-by-step explanation:

▀▄▀▄What is the LCM and GCF of 25 and 75? ▄▀▄▀​

Answers

Answer:

LCM = 75

GCF = 25

Step-by-step explanation:

25 = 5 x 5

75 = 3 x 5 x 5

LCM = 3 x 5 x 5 = 75

GCF = 5 x 5 = 25

Hope that helps!

Answer: The LCM of 25 & 75 is 75, and the GCF of them is 25

Step-by-step explanation: hope it helps :)

f I double the amount of water in the cup, I'll also double the pH of the water in the cup.

Answers

Answer:

No

Step-by-step explanation:

pH won't increase by adding the same liquid

(unless you add a different water with a different pH)

PLEASE HELP ME FAST

7. Find the measure of angle A.

Answers

Answer: 100

Step-by-step explanation:

Well 15 + 5 = 20.

Then 20 x 5 = 100.

So 100 is the answer.

5(3+1)

Factor 5 out of 15x is 5

(3x)+5(−1)

Factor 5 out of 5 (3x)+5(-1).5(3x−1)

19. Elein and Naya wanted to meet between their
houses at midpoint (4,1). If Elien's house is at point
A. (7,-1.5)
(10,-4).
B. (-2,6)
Find the coordinates of Naya's house.
C. (0,0)

Answers

Answer:

[tex](-2,6)[/tex]

Step-by-step explanation:

Given

[tex]Elena = (10,-4)[/tex]

[tex]Midpoint = (4,1)[/tex]

Required

Determine the coordinates of Naya's

Midpoint is calculated as:

[tex]M(x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)[/tex]

In this case:

[tex](x_1,y_1) = (10,-4)[/tex]

[tex](x,y) = (4,1)[/tex]

So, we have:

[tex](4,1) = \frac{1}{2}(10+x_2,-4+y_2)[/tex]

Multiply through by 2

[tex]2 * (4,1) = \frac{1}{2}(10+x_2,-4+y_2) * 2[/tex]

[tex](8,2) = (10+x_2,-4+y_2)[/tex]

By comparison:

[tex]8 = 10 + x_2[/tex]

[tex]2 = -4 + y_2[/tex]

So:

[tex]8 = 10 + x_2[/tex]

[tex]x_2 = 8 - 10[/tex]

[tex]x_2 = -2[/tex]

[tex]2 = -4 + y_2[/tex]

[tex]y_2 =2+4[/tex]

[tex]y_2 =6[/tex]

So, the coordinate is: [tex](-2,6)[/tex]

1/2 x 1/5 .............

Answers

Answer:

1/10 is the answer

Step-by-step explanation:

1/2x 1/5= 1/10

Answer: 1/10

1/2⋅1/5=1/10

Solution

1/10

Alvin is saving $1,500 for a down payment on a car. He has saved $300 so far and plans to save the rest in 6 months. How much money does he need to save per month to have a $1,500 down payment?

Answers

Answer:

$200 each month

Step-by-step explanation:

1,500-300 = 1200

1200/6 = 200

Given rhe functions k(x) = 5x - 8 and p(x) = x - 4, solve k[p(x)] and select the correct answer below.
A. k[p(x)] = 5x - 12
B. k[p(x)] = 5x - 28
C. k[p(x)] = 5x² - 12
D. k[p(x)] = 5x² - 28​

Answers

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I took the quiz

WILL MARK BRAINLIEST FOR BOTH QUESTIONS AND DOUBLE POINTS INLY HAVE 6 MINUTES

Answers

Answer:

Where is the table for the first question?

Step-by-step explanation:

Where’s the table??
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