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3 years ago

Can somebody teach what quadratic function is?

1 answer:

3 0

A quadratic function is one of the form f(X)=ax^2+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. Parabola may open upward or downward and vary in 'width' or 'steepness' , but all have the basic "U" shape.
All parabolas are symmetric with respect to a line called the axis of symmetry. A parabola intersects its axis of symmetry at a point called the vertex of the parabola.
You know that the two points determine a line. This means that if you are given any two points in the plane,then there is one and only one line that contains both points.

Hope this was helpful...!!!

You might be interested in

James asks 60 pupils which drink they liked best from cola milk and water 32 boys were in the survey 12 of the boys said they li

adelina 88 [10]

Answer:

Students altogether liked cola the best 26

Step-by-step explanation:

Total no of pupils = 60

Boys = 32

girls = 28

we will make a table

Gender cola milk water total

Boys 12 4 32

Girls 9 28

we can find the missing numbers

Let x be for milk

In boys 12 + x + 4 = 32

x = 16

In girls

as 21 liked milk altogether

so girls = 21 - 16 = 5

Gender cola milk water total

Boys 12 16 4 32

Girls 5 9 28

For cola let y

in girls

y + 5 + 9 = 28

y = 14

Gender cola milk water total

Boys 12 16 4 32

Girls 14 5 9 28

Altogether cola = 14 + 12 = 26

8 0

3 years ago

8 people want to share a large pizza.Use a ratio to express how many pieces each person gets if the pizza is divided equally

jenyasd209 [6]

Answer:

1/8

Step-by-step explanation:

6 0

3 years ago

Solve this problem 7|8-3h|=21h-49

tatiyna

Answer:

h=5/2

Step-by-step explanation:

5 0

4 years ago

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.

Oliga [24]

Answer:

$\displaystyle 1)48.2 \: \: \text{sec}$

$\rm \displaystyle 2)3021.6 \: m$

Step-by-step explanation:

<h3>Question-1:</h3>

so when flash down occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,

to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:

$\displaystyle - 4.9 {t}^{2} + 229t + 346 = 0$

to solve the equation can consider the quadratic formula given by

$\displaystyle x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 ac} }{2a}$

so let our a,b and c be -4.9,229 and 346 Thus substitute:

$\rm\displaystyle t = \frac{ - (229) \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

remove parentheses:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

simplify square:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)}$

simplify multiplication:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 6781.6} }{ - 9.8}$

simplify Substraction:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 45659.4} }{ - 9.8}$

by simplifying we acquire:

$\displaystyle t = 48.2 \: \: \: \text{and} \quad - 1.5$

since time can't be negative

$\displaystyle t = 48.2$

hence,

at 48.2 seconds splashdown occurs

<h3>Question-2:</h3>

to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered

$\displaystyle x _{ \text{max}} = \frac{ - b}{2a}$

let a and b be -4.9 and 229 respectively thus substitute:

$\displaystyle t _{ \text{max}} = \frac{ - 229}{2( - 4.9)}$

simplify which yields:

$\displaystyle t _{ \text{max}} = 23.4$

now plug in the maximum t to the function:

$\rm \displaystyle h(23.4)- 4.9 {(23.4)}^{2} + 229(23.4)+ 346$

simplify:

$\rm \displaystyle h(23.4) = 3021.6$

hence,

about 3021.6 meters high above sea-level the rocket gets at its peak?

5 0

3 years ago

Identify which table shows a direct variation.

DochEvi [55]

Only Table 2 shows direct variation. Every y value is 7 times the associated x value.

8 0

3 years ago