If the quadratic equation has the form y = ax 2and y = ax 2+ c, then their axis of symmetry must always be?

Answers

Answer 1

9514 1404 393

Answer:

  x = 0

Step-by-step explanation:

When there is no linear term in the equation, the axis of symmetry is x=0.

__

The values 'a' and 'c' represent a vertical scale factor and a vertical translation, respectively. They do not change the axis of symmetry from that of the parent function, which is x=0.


Related Questions

Is 3x – 1= 7 and
3x = 8 equivalent

Answers

Yes simply get rid of the negative 1

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Take the 1st equation & solve it :-

[tex]3x - 1 = 7 \\ 3x = 7 + 1 \\ 3x = 8[/tex]

Now, take the second equation :-

[tex]3x = 8[/tex]

[You can't further solve this equation]

So, from the 2 solved equations we can see that,

[tex]\large\bold{3x = 8 \ is \ equivalent \ (=) \ 3x = 8 }[/tex]

The answer will be Yes, 3x – 1= 7 and 3x = 8 are equivalent to each other.

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

The picture is above I’ll mark as brainliest.

Answers

Answer:

A. 42 [tex]u^{2}[/tex]

Step-by-step explanation:

The area of the figure is length × width. The length of the figure is 7 units, and the width is 6 units.

Finding the area:

length × width

= 7 × 6

= 42 [tex]u^{2}[/tex]

Data is collected on the number of ice cream cones sold in a shop on a certain day and the number of people wearing sunglasses visiting the shop that same day. What type of relationship is most likely to exist between these two variables?

1. positive correlation and causal relationship
2. negative correlation and causal relationship
3. positive correlation but not causal relationship
4. negative correlation but not causal relationship

Answers

Answer:

3. positive correlation but not causal relationship

Step-by-step explanation:

A positive correlation is when one factor increases, the other factor increases as well.

A negative correlation is when one factor increases, the other factor decreases.

A causal relationship is when one factor causes the other factor change in a certain way (i.e. increase or decrease).

More people buy ice cream as the day becomes hotter and sunnier. This also applies to people choosing to wear sunglasses. Therefore, there is a positive correlation between the two (because both increase). However, this is not a causal relationship because the cause of both is the hotter and sunnier day.

I hope this helps! If you have any question, feel free to as. :)

A rectangle measures 8/3 inches by 9/4 inches. What is its area?

Answers

Answer:

To find the area, you have to multiply the length times the width

Step-by-step explanation:

Answer:

The area of this rectangle is 6 square units.

Step-by-step explanation:

Multiply the width (8/3 inches) by the height (9/4 inches) to get the rectangle area:

 8       9

----- * -----

  3      4

                        8 * 9

This results in ----------    which itself reduces to 6.  

                          4 * 3

The area of this rectangle is 6.

What is 5/2x + 2y = 5

Answers

Answer:

y= -x+1/2

Step-by-step explanation:

There are 8 girls and 12 boys in Miss Reading's homeroom. Five of the girls play sports and 3 do not play sports. Eight of the boys play sports and 4 do not play sports. If a student is selected at random, what is the probability that the student is a boy or plays sports? Express your answer
as a fraction.

Answers

The answer is 17/20.. sorry for the first answer

The answer is 17/24 you are welcome

2.) What is the
probability that this
spinner will not
stop at green?
A.) 5/6
B.) 1/6
C.) 12
D.) 1/3

Answers

The probability would A.) 5/6

Answer:

probability would be 5/6.

There are 2 vending
machines in an office
building.
The drink machine is
restocked by Derek every
24 days.
The snack machine is
restocked by Emily every
16 days.
If Derek and Emily met
today, in how many days
will they meet again?

Answers

Answer:

32 days

Step-by-step explanation:

Derek

24 then 48 then 72

Emily

16 then 32 then 48

16 + 16 =32

Answer:

48 days

Step-by-step explanation:

answer is in photo above

find the lowest common multiple of 24 and 16

m to the power of 5 ×m to the power of 6 × n to the power of 11 over m to the power of 3 × n to the power of 5 × n​

Answers

Step-by-step explanation:

[tex] \frac{( {m}^{5} \times {m}^{6} \times {n}^{11})}{ {m}^{3} \times {n}^{5} \times n} \\ = \frac{ {m}^{11} \times {n}^{11} }{ {m}^{3} \times {n}^{6} } \\ = {m}^{8} \times {n}^{5} \\ = {m}^{8} {n}^{5} [/tex]

Answer:

[tex]\frac{m^5 \times m^6 \times n^{11}}{m^3 \times n^5 \times n^1}[/tex]

Step-by-step explanation:

m to the power of 5 = m⁵

m to the power of 6 = m ⁶

n to the power of 3 = n³

n to the power of 11 = n¹¹

      [tex]m^5 \times m^6 \times n^{11}[/tex]   over  [tex]m^3 \times n^5 \times n^1[/tex] = [tex]\frac{m^5 \times m^6 \times n^{11}}{m^3 \times n^5 \times n^1}[/tex]

Simplified form:

[tex]m^{(5+6-3)} \times n^{(11 - 5- 1)} = m^8 \times n^{6}[/tex]

one fourth of a number is equal to 15/16. write the expression to represnt the above sentence.
note: use x to represent a number.​

Answers

Answer:

1/4x = 15/16

Step-by-step explanation:

1/4x = 15/16

a sum of money was equally distributed among some boys
had there been 10 boys more​

Answers

Answer:

I think I know what question you are trying to write because it sounds like the question I did years ago.

It is Rs 200

Step-by-step explanation:

Your welcome! :)

Rs 200 ? it just reminds me of my old homework

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

32m^2

Step-by-step explanation:

32m^2

8*4 = 32

Have a nice day!  :-)

-31,-22,-33 find the 35th term

Answers

Answer:

easy bro go and use m-a-t-h w-a-y

Step-by-step explanation:

it's going to help

56:05
What is the equation of the line that is parallel to the
given line and passes through the point (-4,-6 )?
O x= -6
=)
O x=-4
O y = -6
O y = -4
10 x

Answers

(-4×-6) =-24÷6=4

24÷4=6. x=4. x=6

The Chang family is on their way home from a cross-country road trip. During the trip, the function D (t) = 3260 - 55t can be used to model
their distance, in miles, from home after t hours of driving.
part a:find D(12) and interpret the meaning in the context of the problem. part b: if D(t) =2490, find the value of t and interpret its meaning in the context of the problem

Answers

Answer:

See below.

Step-by-step explanation:

D(t) = 3260 - 55t

The function that shows their distance from home as a function of time shows that they started 3260 miles from home and are driving at 55 miles per hour.

part a:

D(12) = 3260  55(12)

D(12) = 3260 - 660

D(12) = 2600

Interpretation: After 12 hours of driving home, they are 2600 miles from home.

part b:

D(t) = 2490

3260 - 55t = 2490

-55t = -770

t = 14

Interpretation: When they are 2490 miles from home, they have driven for 14 hours.

Help what’s the answer ?

Answers

Answer:

c

Step-by-step explanation:

Ryan deposited $6,700 into an account at the Town Bank, earning 3.4% interest compounded annually. He made no deposits or withdrawals. Write and solve the equation to find the amount of money in his account after 4 years. Round to the nearest cent.

Answers

Answer: The amount of money in his account after 4 years = $7,658.73

Step-by-step explanation:

If interest is compounded annually, then formula to compute amount :

[tex]A=P(1+r)^n[/tex], where P+ principal value, r= rate of interest, n= time ( in years).

As per given,

P= $6700 ,  r = 3.4% =0.034, n =4

[tex]A=6700(1+0.034)^4\\\\=6700(1.034)^4\\\\=6700(1.14309455234)\approx7658.73[/tex]

Hence, the amount of money in his account after 4 years = $7,658.73

The area of the rectangular portion of the window can be represented by the function A(x) = 2x^2 + 10x. The area of the trapezoidal portion can be represented by the function A(t) = 6((x + 15) + (2x + 10)/2). Formulate a function A(w) that can be used to represent the area of the entire window.

A(w) = 9x + 75

A(w) = x(2x + 10)

A(w) = 21x^2 + 75x

A(w) = 2x^2 + 19x + 75​

Answers

x(2x + 10) is correct because of how it explained up there.

The function A(w) that can be used to represent the area of the entire window is 2x^2+17x+95.

We have given that,

The area of the rectangular portion of the window can be represented by the function A(x) = 2x^2 + 10x.

The area of the trapezoidal portion can be represented by the function A(t) = 6((x + 15) + (2x + 10)/2).

A(t)=6x+90+x+5

A(t)=7x+95

What is the area of the formula?

[tex]Area\ of \ the\ rectangle=Length \times width[/tex]

Therefore the function A(w) that can be used to represent the area of the entire window is

A(W)=A(t)+A(x)

A(W)=7x+95+2x^2 + 10x

A(W)=2x^2+17x+95

The function A(w) that can be used to represent the area of the entire window is 2x^2+17x+95.

To learn more about the rectangle visit:

https://brainly.com/question/25292087

#SPJ2

Which input value produces the same output value for the two functions on the graph?

x = −1
x = 0
x = 3
x = 4

Answers

There is no graph, but let me walk you through how I would work this out!

First, I would take one of the stated inputs and plug it into the given equation.

Then, I would see what I get and decipher if it matches with any of the two graphs!

Hope this somewhat helps :)
Switch them to the opposites, hope that helps.

help plz will mark as brainliest ​

Answers

Answer:

5

Step-by-step explanation:

since x + 3 is a factor of the polynomial that means -3 is a value of x

substitute x = -3

next see attachment

IM NOT SMART SO PLZ HELP :) BRAINLIEST WILL BE MARKED

Answers

Step-by-step explanation:

please check the attachment

Hey im confused on how to solve this. Can Anyone help me?

Answers

Answer:

The minimum unit cost is $9374.

Step-by-step explanation:

The unit cost C for making x engines is given by the quadratic function:

[tex]C(x)=0.3x^2-162x+31244[/tex]

We want to determine the minimum unit cost.

Since this is a quadratic function with a positive leading coefficient, the minimum value will be its vertex. The vertex of a quadratic can be found using the following formulas:

[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = 0.3, b = -162, and c = 31244.

Find the x-coordinate of the vertex:

[tex]\displaystyle x=-\frac{(-162)}{2(0.3)}=\frac{162}{0.6}=270[/tex]

In other words, in order to achieve the minimum cost, only 270 engines must be made.

Then to find the minimum cost, substitute the value back into the function. So:

[tex]C(270)=0.3(270)^2-162(270)+31244=\$ 9374[/tex]

The minimum unit cost is $9374.

CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.

Answers

Answer:

13/20

Step-by-step explanation:

To add fractions without the common denominator, you have to make them equal so

1/4 x 5 = 5/20

2/5 x 4 = 8/20

5/20 + 8/20 = 13/20

Answer:

13/20 miles.

Step-by-step explanation:

[tex]\frac{1}{4} +\frac{2}{5}[/tex]

= [tex]\frac{5}{20} +\frac{8}{20}[/tex] (find the common denominator and convert the fractions)

= [tex]\frac{13}{20}[/tex]

13/20 is the most simplified it will go, so you will have walked 13/20 miles.

Hope this helps!

Which of the following points is a solution to the system of inequalities below?

y<2x+1
y≥−3x−4

Answers

I don’t know know know know know a a a a a. A a a a a a a A c c c c c c c. C

If a and b are two distinct rational numbers, then which of the following statements is true?
a+b is always a rational number while a−b is not always a rational number.
Both a+b and a−b are not always rational numbers.
Both a+b and a−b are always rational numbers.
a+b is not always a rational number while a−b is always a rational number.

pls add explanation if possible

Answers

Answer:

Both are rational.

Step-by-step explanation:

As a rational number can be written in the form p/q where p,q are co-prime integers, let a=p1/q1 b=p2/q2.

And we know the product of two integers is an integer

p1q2, p2q1 are integers. And the sum or difference of two integers is rational, rather being specific, it is an integer.

Thus a+b and a-b is rational.

35 points. Brainliest gets double the points.

Answers

the answer is 18 to the question

Becky says that when she simplifies the following expression, the value is 6 less than her age. What is Becky's age? (7+11) - 8÷2 *
20
14
26
11

Answers

Answer:

Becky's age is equal to 20.

Step-by-step explanation:

The given expression is :

(7+11)-(8÷2)

Using Bodmas rule to solve it furthur,

(18)-4 = 14

According to the given condition, let the age is A.

The value is 6 less than her age,

14 = A-6

or

14+6 = A

A = 20

Hence, Becky's age is equal to 20.

Use the table to answer the question.

The school cafeteria surveys random students about their favorite food and records the data in the table. If there are 530 students in the school, approximately how many would be expected to choose chicken nuggets?

a. 16 students
b. 40 students
c. 80 students
d. 106 students

Answers

Answer:

in the survey, 16 out of 80 students who where asked favored chicken nuggets.

so we need to calculate like this:

530 * 16/80

=530 * 1/5

=530/5

=106

hope this helps your understanding, wish you good grades

Help pleaseeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

-8 X 3 = -24 + 9 = -15 or you could do    -24+9=-15

Step-by-step explanation:

x = 72
Hope this helps

Solve the system of equations below.
X-2y=3
2x - 3y=9

Answers

Answer:

(9,3)

Step-by-step explanation:

Hope this helps

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