definition of a quadratic function

Answers

Answer 1

Answer:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.

Step-by-step explanation:

Answer 2

Answer:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero

Step-by-step explanation:


Related Questions

Which of the following values are solutions to the inequality 5x – 10 < -5?
I. - 1
II. 9
III.1
None
I only
II only
III only
I and II
I and III
II and III
I, II and III

Answers

Answer:

-1

Step-by-step explanation:

Plug in all of the numbers for x. 1 is -5<-5 and -1 is -15<-5

Given l ||
m
|| n, find the value of x.
(x-1)^
m
n
(8x-10°

PLEASE ASAP
I’m having so much trouble with this

Answers

Answer:

x = 9

Step-by-step explanation:

8x - 10 = 7x -1

x = 9

hope that helps

Round the fraction to the nearest whole number.
5/8

please help

Answers

Answer:

1

Step-by-step explanation:

so when you divide 5/8 you get 0.625 and rounding it of to the nearest whole number it will be 1.

hope this helps

Answer:

1

Step-by-step explanation:

(8/8) = 1                                 (4/8) = half                       (0/8) = 0

                                   (5/8) = a bit more than half, so is closer to 1

5/8≈1

Find Cp ox s.p. in each of the following..
C. P = Rs.500 , Profit = Rs. 170 Solution,​

Answers

Step-by-step explanation:

Solution:

Here,

C.P.=Rs 500

Profit=Rs 170

Now,

S.P.=C.P.+Profit

=Rs 500+170

=Rs 670

Keep smiling and hope u r satisfied with my answer.Have a great day :)

Anyone else gonna sit alone at lunch today in school? :')

Answers

Answer:

I got online school

Step-by-step explanation:

tho yeah, I still eat lunch alone

Answer:

ofcourse cause its co vid 19 and we need to keep a safe distance so we can call it as eating alone

Step-by-step explanation:

Olivia's science class is making slime from cornstarch and glue. Olivia is helping pass out
materials. She gives each student 4 ounces of cornstarch from a 5-pound bucket. If Olivia's
class has a total of 18 students, how many ounces of cornstarch will she have left?

Answers

Answer:she will have 4.44 ounces of cornstarch left

Step-by-step explanation: 1 pound=16 ounces 16*5=80 ounces 80 ounces equal 5 pounds then you divide 80 by 18 and your answer should come out as 4.44 ounces

Amount of cornstarch left is 8 ounce

Given that;

Each student get = 4 ounce of cornstarch

Total number of student = 18 students

Total amount of cornstarch = 5 pound

Find:

Amount of cornstarch left

Computation:

Amount of total cornstarch to student = Each student get × Total number of student

Amount of total cornstarch to student = 4 × 18

Amount of total cornstarch to student = 72 ounce

1 pound = 16 ounces

So,

Total amount of cornstarch = 5 × 16

Total amount of cornstarch = 80 ounces

Amount of cornstarch left = 80 - 72

Amount of cornstarch left = 8 ounce

learn more:

https://brainly.com/question/16266309?referrer=searchResults

f(x) = -1/2x is it increasing, decreasing or constant

Answers

Answer:

The function is decreasing.

Step-by-step explanation:

f(x) = x is the parent function, when you make x negative it decreases rather than increasing. the use of the slope (1/2) doesn't change whether it it increasing or decreasing. as long as the negative sign is in front, it will decrease.

what is energy????
bye have a great day ​

Answers

Answer:

the capacity of doing work is called energy

have a great day

Answer:

the capacity for doing work is called energy.

have a great day

stay happy and healthy

There are 60,659 people under the age of 14 years old
There are 215,927 people age between 15 and 64 years old
There are 36,610 people over the age of 65 years old
What is the Old Age Dependency Ratio as a decimal rounded to
the Thousandths place?

Answers

Answer:

(2,800/1,500) * 100 = 187%

Step-by-step explanation:

simplify this exponential expression

[tex]( \frac{1}{3} )^{2} [/tex]​

Answers

Answer:

Answer: 3^-2

Step-by-step explanation:

[tex]( \frac{1}{3} ) {}^{2} \\ \\ = \frac{ {1}^{2} }{ {3}^{2} } \\ \\ = {3}^{ - 2} [/tex]

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Evaluate the power

[tex]\frac{1^2}{3^2}[/tex]

Divide

[tex]\frac{1}{9}[/tex]

which number comes first when The numbers are listed from least to greatest a. 1/6 b. -1 c. 5 squared d. -7/2 e. 4.6

Answers

the answer is C. -1

Step-by-step explanation:

-1 is the smallest number

PLease hellp meeeeeeeee

Answers

Answer:

I think it -2 then -7

Write and solve the equation to find the
value of x.
"The quotient of negative sixty and a
number x is four."
a) -60 * x = 4; x = 15
b) -60 / x = 4; x = -15
c) -60 * x = 4; x = -15
d) -60 / x = 4; x = 15

Answers

Answer:

C) -60/x = 4; x = -15

Step-by-step explanation:

-60 / x = 4-60 ÷ 4 = -15x = -15Checking:-60/x = 4-60/(-15) = 4

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Find the area of a rectangular ground which is 14 1/2 m long and 10 2/3 m wide.

Answers

Answer:

154 2/3 m²

Step-by-step explanation:

14 1/2 x 10 2/3

First, make the mixed numbers into improper fractions:

29/2 x 32/3

Simlify by cross cancelling if you can:

29/1 x 16/3

Then, multiply:

29/1 x 16/3 = 29 x 16/1 x 3 = 464/3

Finally, turn the new improper fraction into a simplified mixed number:

464/3 = 154 2/3

The area is 154 2/3 m²

if the breadth of a rectangle is one third of its length and perimeter is 80 cm find the length and breadth of rectangle ​

Answers

here is your answer,

hope it helps you.

Jennifer is saving money to buy a bike. The bike costs $261. She has $107 saved, and each week she adds $14 to her savings.

How long will it take her to save enough money to buy the bike?

It will take her ____ weeks to save for the bike.

Answers

Answer:

It will take her 11 weeks to save for the bike

Step-by-step explanation:

261 -107 = 154

154 /14=11

At chucky bee restaurant, the meal costs $55.25 and desserts cost $15.75 for 5 people. How much money does each person have to pay?

Answers

Answer:

$14.20

Step-by-step explanation:

First we add both the meal ($55.25) and the dessert ($15.75) to calculate the total cost which would be $77.00 Assuming the bill was evenly split among the five people, we would divide the total cost ($77.00) by all 5 people which gives us 14.20 so each person would have to pay $14.20.

hope this helps!

Show that a to the 6th an be written as a perfect square and as a perfect cube.

Answers

Answer:

Step-by-step explanation:

a^6 = a * a * a * a * a * a You can break this into groups of 2 and groups of three.

Groups of 3

a^6 = a * a * a * a * a * a

what that means is that you have 2 groups of 3 which can be written as (a^3)^2 which means that this number is a perfect square.

Groups of 2

a^6 = a * a * a * a * a * a

What this means is that you have (a^2)^3 which is three groups of 2 members. The answer is that you have a perfect cube each member of which is a^2

I need a little help .??!??????????????????????

Answers

(e) it is the last one........

Help me with this please I’d appreciate it

Answers

The coordinates of Point [tex]D'[/tex] are [tex](42, 0)[/tex]

[tex]\text{Algebraic Representation: } (x,y) \to (7x,7y)[/tex]

I need an explanation and an answer please.

Answers

we have,

14x+8+6x+12=180 {interior angle}

or, 20x+20= 180

or, 20x= 180- 20

or, x= 160/20

:. x= 8

Now,

14x+8= 14.8+8

= 112+8 =120

6x+12= 6.8+12

= 48+12 = 60


What is the height of a triangle with an area of 32 cm2
and a base of 8 cm?

Answers

Answer:

8 32  A for area and H for height

Step-by-step explanation:

I’m not very good at math and I need help

Answers

The answer would be 6.00%

Answer:

C

Step-by-step explanation:

First of all it's not that you aren't very good at math it's just that you don't YET understand the concepts,... Believe me when I say that I've been there!!!

To solve this problem you have to look at it as a solve for the unknown problem,... They say that The FORMULA (important) is the following:

S = Ar

This can be written:

S = A * r

They then say that

S = sales tax,

A = cost of the product

r = local sales-tax rate,...

THEN they start giving you information,... they say the COST of a television (cost of the product) is $400 dollars you can now enter this info in you formula,... A = cost of product,... so switch the letter with the assigned info,...

S = $400 * r

...and the sales tax is $24 dollars,... S stands for sales tax so switch the variable for the dollar amount,...

$24 = $400 * r

Now you just have to solve the equation (figure out $400 * what = $24) and easy way to do this is to simply divide $24 by $400,...

$24/$400=0.06,...

0.06 = 6.0% = 6.00%

Hope I helped, You can learn anything!,... Me out,... Chow,...!

1/7 x X =1
X x 1/11=1
1 divided by 1/5=

Answers

Answer:

x = 7x = 115

Step-by-step explanation:

[tex] \frac{1}{7} \times x = 1[/tex]

[tex]7 \times \frac{1}{7} x = 7 \times 1[/tex]

[tex]7 \times \frac{1}{7} x = 7[/tex]

[tex]\boxed{\green{x = 7}}[/tex]

◇◇•◇◇

[tex]x \times \frac{1}{11} = 1[/tex]

[tex] \frac{1}{11} x = 1[/tex]

[tex]11 \times \frac{1}{11} x = 11 \times 1[/tex]

[tex]11 \times \frac{1}{11} x = 11[/tex]

[tex]\boxed{\green{x = 11}}[/tex]

♤♤•♤♤

[tex]1 \div \frac{1}{5} = 1 \times \frac{5}{1} [/tex]

[tex]1 \times 5[/tex]

[tex] \boxed{\green{= 5}}[/tex]

PLEASE HELP THIS IS DUE TODAY :((

The picture is attached below

The question is

Given the piecewise function shown below select all of the statements that are true

Answers

A is true: 1 > 0, and f (1) = 1² - 1 = 0.

B is false: -2 < 0, so f (-2) = -(-2) + 1 = 3.

C is false: 4 > 0, and f (4) = 4² - 1 = 15.

D is true: -1 < 0, so f (-1) = -(-1) + 1 = 2.

BRAINLIEST!! PLZ HELP
Given f (x) = x2 – 4 and g(x) = x + 3 then g (f (2)) =

Answers

Answer:

g (f(2)) = 3

Step-by-step explanation:

f (x) = x2 – 4

g(x) = x + 3

g (f (2)) =?

Find f(2) first

f (x) = x2 – 4

f (2) = 2^2- 4

= 0

Now put this in your g(x)

g(x) = x + 3

g (f(2)) = (f(2)) + 3

And u alredy know f(2) =0, so just put it in

g (f(2)) = 0 + 3

=3

5 1/4-2 2/3

Solve and show equations

Answers

Answer:

5 1/4 - 2 2/3 = 31/12 = 2 7/12 = 2.5833333

Step-by-step explanation:

1. Conversion a mixed number 5 1/4 to a improper fraction: 5 1/4 = 5 1/4 = 5 · 4 + 1/4 = 20 + 1/4 = 21/4

To find new numerator:

a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4/4 = 20/4

b) Add the answer from previous step 20 to the numerator 1. New numerator is 20 + 1 = 21

c) Write a previous answer (new numerator 21) over the denominator 4.

Five and one quarter is twenty-one quarters

Conversion a mixed number 2 2/3 to a improper fraction: 2 2/3 = 2 2/3 = 2 · 3 + 2/3= 6 + 2/3 = 8/3

To find new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3

b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8

c) Write a previous answer (new numerator 8) over the denominator 3.

Two and two thirds is eight thirds

Subtract: 21/4 - 8/3 = 21 · 3/4 · 3 - 8 · 4/3 · 4 = 63/12- 32/12 = 63 - 32/12 = 31/12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 3) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 3 = 12. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - twenty-one quarters minus eight thirds = thirty-one twelfths.

**Answers needed fast** What goes in the small / little boxes?

Answers

Answer:

149, 520 and the littlest boxes is 0 and 1

Step-by-step explanation:

A dance academy charges $24 per class and a one time registration fee of $15. A student paid a total of $687 to the academy. Find the number of classes the student took.

Answers

Answer:

The student took 28 classes

Step-by-step explanation:

What I did was minus $15 from the $687 total, cause $15 is only a one time registration fee, then 687-15=672, so then I divided 672 by the cost per class, so $24, 672 divided by 24 equals to 28, so the student took 28 classes.

in the figure below the measure of <1=5x°, the measure of <2=y°, and the measure of <3=85°. Find the value of each variable.

(for the first one <1=5x° I found out x=17 so I just need the rest if you can) ​

Answers

Answer:

y=95

Step-by-step explanation:

17x5=85

180-85=95

y=95

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x and y is 17 and 95, respectively.

What are vertical angles?

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.

The measure of ∠1 and ∠3 will be equal since the two angles are vertical angles. Therefore, we can write.

∠1 = ∠3

5x° = 85°

x = 85° / 5

x = 17°

Also, the sum of measures ∠1 and ∠2 will be equal to 180°, this is because the two angles form a pair of linear angles. Therefore, we can write,

∠1 + ∠2 = 180°

5x + y = 180°

Substitute the value of x,

5(17°) + y = 180°

85° + y = 180°

y = 180° - 85°

y = 95°

Hence, the value of x and y is 17 and 95, respectively.

The complete question is mentioned below.

Learn more about Vertical Angles here:

https://brainly.com/question/24460838

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