6. If the zeros of a quadratic funtion, f(x), are -2 and 6, what is the equation of the axis of
symmetry of f(x)?
ints
a. X= -2
b. X= 2
c. X= 4
d. Cannot be determined

Answers

Answer 1

Answer:

B

Step-by-step explanation:

We are given a quadratic function f(x) whose zeros are at x = -2 and x = 6.

And we want to determine its axis of symmetry.

Recall that a parabola is symmetric about its axis of symmetry.

Therefore, the axis of symmetry is directly in the middle of the two roots.

Find the average of the roots:

[tex]\displaystyle x=\frac{(-2)+(6)}{2}=\frac{4}{2}=2[/tex]

Hence, the axis of symmetry is x = 2.

Our answer is B.

In general, if we are given the two zeros p and q of a quadratic and we want to find the axis of symmetry x, it is given by:

[tex]\displaystyle x = \frac{p+q}{2}[/tex]


Related Questions

HELP DUE IN 10 MINUTES

Answers

Answer:

Step-by-step explanation:

For Part A, use the pythagorean theorem to find the height, which ca be found by finding one length of the leg. Using the imaginary bisector, you can determine one of the legs is 5 cm, and the hypotenuse is 13 cm

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse. Plug in the values to solve for one leg, you get 25+b^2=169

Solve algebraically, b^2= 144, so b=12, which is the height.

Part B

Determine the surface area of each cardboard piece, and add together.

20 × 13 × 2 = 520

1/2 × 10 × 12 × 2 = 120

20 × 10 = 200

So approximately 840 cm of cardboard was used

complete the square x^2+45=-14x

Answers


2
+
4
5
=

1
4

x
2
+
45
=

14
x
x2+45=−14x

2
+
4
5


1
4

=
0

On the coordinate plane, point P is located at (3, y) and point Q is located at (1, -4). The distance between
points P and Q is 29 units.
What are the two possible values of y?

Answers

Answer:

y = 23, -31

Step-by-step explanation

ttyl

I met this hella weird cryptic dude who interviewed me and gave me this puzzle. Solve it within 12 hours and ill let you know what he says. Row zero (0) must be solved.

Your final code should contain nine (9) letters, and one (1) number. The number two (2) has been given to you as the first character in your final code.

Disclaimer: This code is foreign, meaning it is not a word or sentence from any language. It is a string of specific characters. You will be given a second, simpler cipher to decrypt that reads "graph." It has already been solved for you. Understanding how this smaller chart produces "graph" will grant you the deciphering method used for the large cipher.

This cipher must be completed at maximum twenty-four (24) hours from reception. Failure to complete in this time will result in re-calibration via interviewing, not disqualification, should you (as a participant) wish to continue.

To validate this code, or request further clarification, refer to this account.

Speaking to any personnel regarding the cipher without supervision is strictly prohibited, and will result in disqualification.

HINTS:

"^," or Carrots, signify a capitalized letter in the string. Capitalization matters.

Everything you need to complete this cipher is given here.

Only very basic math was used to encrypt this key (Multiplication and Division).

You are not allowed to ask others for help without the supervision of the employment center. We will know if you've leaked, or gave any information out regarding this Cipher. We are entrusting you with it.

Best of luck

Answers

no cheating thanks <3

I need help please slope

Answers

Answer:

Step-by-step explanation:

The formula for slope is y2-y1/x2-x1 where y2 and x2 are the x and y coordinates from a coordinate pair and y1 and x1 are the coordinates from another coordinate pair. In this case, 2 coordinate pairs are given: (30,75) and (10, 35)  75-35/30-10 would be your slope, or, 40/20, or simplified, 2.

Your slope is 2

in what interval is the function f(x)=squareroot x^2+5x+4 defined

Answers

9514 1404 393

Answer:

  (-∞, -4] U [-1, ∞)

Step-by-step explanation:

The quadratic expression factors as ...

  x^2 +5x +4 = (x +4)(x +1)

The zeros of this expression are where these factors are zero, at x=-4 and x=-1. The product is negative when one factor is negative and the other is positive, in the region -4 < x < -1. It is non-negative elsewhere. f(x) is defined where the quadratic is not negative, on the union of intervals ...

  (-∞, -4] U [-1, ∞)

Answer:

-4 <= x >= -1

Step-by-step explanation:

Find where x^2+5x+4 < 0, negative sq roots are imagingary numbers.

So factor

(x + 4) (x + 1) = 0

x = -4 and x = -1

so x must be <= -4 or x >= -1

the interval is

-4 <= x >= -1

if u can help be fast please​

Answers

A) 5 sides = 72.00

interior =108.00

B) 9 sides = 40.00

interior = 140.00

C) 15 sides = 24.00

interior = 156.00

D) 19 sides = 18.95

interior = 161.05

These are exterior angles right? y'know what I'll just put both

Find the area of the shaded regions:

Answers

Answer:

18[tex]\pi[/tex]

[tex]\frac{80}{360} * 81 \pi[/tex]

Step-by-step explanation:

f(x) = (x - 5) (2x - 7) (7x - 3) has zeros at x = -3.5, x = 3/7, and x = 5.

what is the sign of f on the interval 3/7 < x < 5 ?

1. f is always positive on the interval.
2. f is always negative on the interval.
3. f is sometimes positive and sometimes negative on the interval.

Answers

The function f(x) will be sometimes positive and sometimes negative on the interval so option (3) will be correct.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

In other terms, a function is a relationship between variables, and the type of relationship that exists between the variables defines the function, such as y = sinx and y = x +6.

Given function is

f(x) = (x - 5) (2x - 7) (7x - 3)

The term (x - 5) will be negative if x < 5.

The term (2x - 7) will be negative if x<3.5

Let's say if x = 4 then (x - 5) will be negative but (2x - 7) will be positive and hence overall value will be negative.

But if x = 3 then (x - 5) will be negative and (2x - 7)  will also be negative and hence overall value will be negative

Hence the function f is sometimes positive and sometimes negative on the interval.

For more about the function

brainly.com/question/23712366

#SPJ5

Answer:

always negative the other guy was wrong because when you wrote 2x - 7 you meant 2x + 7 I know this because it’s on Khan Academy

Step-by-step explanation:

5x2y and 7xy2 are like terms.

True
False

Answers

Answer: False

The variable portions x^2y and xy^2 are slightly different, so that's why we don't have like terms here.

Answer:

False

Step-by-step explanation:

Like terms are those terms where they have the same variable

so here

5x2y variables are = 5x and 2y

7xy2 variables are = 7x and y2

you can observe that x variable is same but y variable is not same as 5x3y have 2y whereas 7xy2 have y2#

so the answer is FALSE

HELP ILL GIVE U BRAINLIEST

Answers

Answer:

-6 33/40

Step-by-step explanation:

[tex]2\frac{5}{8} = 2.625\\-2\frac{3}{5} = 2.6\\\\2.625 *-2.6 = -6.825\\\\-6.825 = -6\frac{33}{40}[/tex]

When a new cellphone is put on the market, the demand each month can be described by the function C of t is equal to negative square root of the quantity t squared plus 4 times t minus 12 end quantity plus 3 where C (t) represents the demand of the cellphone (measured in millions of people) and the time, t, is measured in months. Which of the following solution(s) are valid for a positive demand? (7, 0) and (3, 0) (–6, 3) and (2, 3) (6, 3) (2, 3)

Answers

Answer:

(2, 3)

Step-by-step explanation:

Answer:

It is (2,3)

Step-by-step explanation:

45.55 to 1 decimal place

Answers

Answer:

45.6

Step-by-step explanation:

45.55

We want to round to the tenths place

we look at the hundredths place

.x5  Since the number in the hundredths place is 5 or greater, we round up 1

45.55 becomes 45.6

Answer:

the answer is 45.6

Step-by-step explanation:

[tex]\sf{}[/tex]

♛┈⛧┈┈•༶♛┈⛧┈┈•༶

9 in.
13 in.
10 in
Drawing not to scale
b. 90 in?
45 in?
d. 292.5 in.
c. 32 in?
a.

Answers

Answer:

a, a, d

Step-by-step explanation:

44

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 10 and h = 9 , then

A = [tex]\frac{1}{2}[/tex] × 10 × 9 = 5 × 9 = 45 in² → a

45

The area (A) of a parallelogram is

A = bh ( b is the base and h the perpendicular height )

Here b = 2 and h = 4 , then

A = 2 × 4 = 8 m² → a

46

A = bh ( with b = 4 and h = 10 )

A = 4 × 10 = 40 m² → d

Instructions: Find the missing side. Round your answer to the nearest
tenth.
15
66°
х
x
=

Answers

Answer:

x = 16.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 66 = 15/x

x sin 66 = 15

x = 15/sin 66

x=16.41954

Rounding to the nearest tenth

x = 16.4

What is the difference between-5 and 2

Answers

Answer:

7

Step-by-step explanation:

Going from -5 to 2 we get

1) -4

2) -3

3) -2

4) -1

5) 0

6) 1

7) 2

So, in total, there are 7 numbers between -5 and 2

Best answer gets brainliest and 5 star

Answers

Answer:

d no.

Step-by-step explanation:

because in my my personal opinion the function shown on the graph has a smaller rate of change, but a higher starting point

The answer is A. Calculating the rate of change for the graph is 3 and that of the equation is 4. The starting point of the graph is -2 and that of the equation is 6.

1+1=

please help me, this question is very difficult​

Answers

I think it’s 47743774367

Answer:

2 or tricky answer 11

MATCH THE SYSTEM OF EQUATIONS ON THE LEFT WITH THE APPROPRIATE SOLUTION ON THE RIGHT

Answers

Answer:

Step-by-step explanation:

Can someone PLEASE answer the Algebra Question CORRECTLY BELOW!
Thank you, I will mark brainiest!

Answers

Answer:

There are 0.454 kg in one pound.

So, in 120 pounds there are 0.454 x 120 kgs.

This is equal to 54.48, and the answer is 54.48 kg.

Let me know if this helps!

what is 13.5/10 simplified

Answers

Answer:

27/20

Step-by-step explanation:

[tex]\frac{13.5}{10} = \frac{13.5 * 2}{10 * 2} = \frac{27}{20}[/tex]

13.5/20 simplified is 27/20

HELP ME PLS ITS PYTHAGOREAN THEOREM

Answers

Answer:

a= [tex]\sqrt{19}[/tex]

Step-by-step explanation:

Pythagorean Theorem: a^2+b^2=c^2

a^2+9^2=10^2

a^2+81=100

a^2=19

a=[tex]\sqrt{19}[/tex]

Answer:

b = 4.4 meters

Can someone please help me with my maths question​

Answers

Answer:

[tex]a. \ \dfrac{625 \cdot m}{27 \cdot n^{11}}[/tex]

[tex]b. \ \dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}[/tex]

Step-by-step explanation:

The question relates with rules of indices

(a) The give expression is presented as follows;

[tex]\dfrac{m^3 \times \left (n^{-2} \right )^4 \times (5 \cdot m)^4}{\left (3 \cdot m^2 \cdot n \right )^3}[/tex]

By expanding the expression, we get;

[tex]\dfrac{m^3 \times n^{-8} \times 5^4 \times m^4}{\left 3^3 \times m^6 \times n^3}[/tex]

Collecting like terms gives;

[tex]\dfrac{m^{(3 + 4 - 6)} \times 5^4}{ 3^3 \times n^{3 + 8}} = \dfrac{625 \cdot m}{27 \cdot n^{11}}[/tex]

[tex]\dfrac{m^3 \times \left (n^{-2} \right )^4 \times (5 \cdot m)^4}{\left (3 \cdot m^2 \cdot n \right )^3}= \dfrac{625 \cdot m}{27 \cdot n^{11}}[/tex]

(b) The given expression is presented as follows;

[tex]x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \div (x \cdot y^n)^4[/tex]

Therefore, we get;

[tex]x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \times x^{-4} \times y^{-4 \cdot n}[/tex]

Collecting like terms gives;

[tex]x^{3 \cdot m + 2 - 4} \times \left (y^{3 \cdot n - 3 -4 \cdot n}} \right ) = x^{3 \cdot m - 2} \times \left (y^{ - 3 -n}} \right ) = x^{3 \cdot m - 2} \div \left (y^{ 3 + n}} \right )[/tex]

[tex]x^{3 \cdot m - 2} \div \left (y^{ 3 + n}} \right ) = \dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}[/tex]

[tex]x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \times x^{-4} \times y^{-4 \cdot n} =\dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}[/tex]

if x =2 y =3 find the value of x^2-xy^2+y^2​

Answers

Answer:

i hope it will help

Step-by-step explanation:

I did not get the equation so I solve it with two methods

Question 16 of 17
Which of the following best describes the graph below?

A. Independent variable
0 o a
B. A relation that is a function
C. A relation that is not a function
D. Dependent variable

Answers

The answer is B. It is a relation and also a function at the same time because it satisfies a specific domain

After a 20% reduction, you purchase a tv for $336. What was the price of the tv before the reduction?

Answers

Answer:

$420

.8 x = 336

x = 336/.8

X=$420

Step-by-step explanation:

Parallelogram JKLM is shown. If KR=X+7, KM = 3x - 5. and JL = 4x - 10.
what is JR?
2 points
K
R
569
27°
72°
M

Answers

Answer:

Step-by-step explanation:

In a parallelogram, this one in particular:

KR = RM

JR = RL

We are looking in the end for the length of JR, but that means that we need to solve for x somehow to plug in the expression for JL, and then split that in half. Here's how we're going to go about it. I know that

KM = KR + RM, but since KR and RM are the same length, the equation becomes

KM = 2KR. Filling that in with the expressions I'm given for KM and KR:

3x - 5 = 2(x + 7) and

3x - 5 = 2x + 14 and

x = 19. Now I can find the length of JL:

JL = 4x - 10 so

JL = 4(19) - 10 and

JL = 66

Knowing that JR = RL and JL is 66 units long, JR = RL = 33 units each.

Beverly fpund a magic bean. If she puts it in the soil , every single day it will grow 4 cm. After how many days will it be 14.56 meters tall

Answers

Answer:

364 days

Step-by-step explanation:

Magic bean will take 364 days to grow 14.56 m tall.

What is Unit Conversion?

A conversion factor exists as a ratio that expresses how many of one unit stand equal to another unit. For example, there exist 12 in. in 1 ft, 1609 m in 1 mi, 100 cm in 1 m, 60 s in 1 min, and so on.

Unit conversion exists as a multi-step procedure that involves multiplication or division by a numerical factor, choosing the accurate number of significant digits, and rounding.

First we need to convert the height in m into cm.

14.56 m=14.56*100=1456 cm

If it grows 4 cm in one day then:

It will take 1456/4=364 days (a year) to grow completely.

To know more about unit conversion refer:

https://brainly.com/question/6243489

#SPJ2

(c) 63 divided by 3 = 21 , Show how you use this to work out 0.63 divided by 0.3.

Answers

Answer:

0.63 ÷ 0.3 = 63 x 10^-2 ÷ 3 x 10^-1 = 63 / 3  x 10^(-2--1) = 21 x 10^-1 = 2.1

Answer:

2.1.

Step-by-step explanation:

63/3 = 21

0.63 = 63 / 100

and 0.3 = 3 / 10

so 0.63/0.3 = 63 /100 / 3/10 = 63/100 * 10/3

= 63/3 / 10

So the answer is 21 / 10 = 2.1.

Two hikers are miles apart and walking toward each other. They meet in hours. Find the rate of each hiker if one hiker walks mph faster than the other.

Answers

Answer:

where are the numbers

Step-by-step explanation:

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