Quadratic Equations and Functions - Part 2
Graphing Quadratics Using a Table
Independent Practice
1. A model rocket was launched from a podium 5 meters above ground at a
initial velocity of 98 m/s. The function that models height (in meters) with
respect to time (in seconds) is h(t) = 5 + 98t – 4.9t2.
Part A: Complete the table below.
Time (seconds)
0
5
10
15
20
Elevation (feet)
5

Quadratic Equations And Functions - Part 2Graphing Quadratics Using A TableIndependent Practice1. A Model

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Given function

h(t) = 5 + 98t – 4.9t²Part A

Filling in the table using the function, substitute t for each line:

time   |    elevation

0        |   5              

5        |   372.5      

10       |   495            

15       |   372.5      

20      |   5            

Part B

The graph is attached

Quadratic Equations And Functions - Part 2Graphing Quadratics Using A TableIndependent Practice1. A Model
Answer 2

When the ball hits the ground, the height is 0. Substitute 0 for

h

.

h

=

16

t

2

10

t

+

200

0

=

16

t

2

10

t

+

200

16

t

2

10

t

+

200

=

0

This equation is difficult to solve by factoring or by completing the square, so solve it by applying the Quadratic Formula,

x

=

b

±

b

2

4

a

c

2

a

. In this case, the variable is

t

rather than

x

.

a

=

16

,

b

=

10

, and

c

=

200

.

t

=

(

10

)

±

(

10

)

2

4

(

16

)

(

200

)

2

(

16

)

Simplify. Be very careful with the signs.

t

=

10

±

100

+

12800

32

=

10

±

12900

32

Use a calculator to find both roots.

t

is approximately

3.86

or

3.24

.

Consider the roots logically. One solution,

3.86

, cannot be the time because it is a negative number. The other solution,

3.24

seconds, must be when the ball hits the ground.

Answer

The ball hits the ground approximately

3.24

seconds after being thrown.


Related Questions


Which pairs of equations are parallel?
a) y = 3x + 4 and y = 3x+1
b) y =- 3x + 4 and y = 3x + 1
c) y=x-1 and y = x+1
d) y = 2x + 3 and y = 2x + 1

Answers

Answer:

x by 1 times 15 to the third power

Step-by-step explanation:

What is 26% of $3,000

Answers

the answer is def not 5778
The answer is 0.26 x 3000 = $780

Help pls (pls dont write absolute nonsense on here pls i really need help)

Answers

A) -2fg b) not sure sorry c) f-x

A $830 iphone has a 20%
discount. The tax rate is 7.5%.
What is the final price of the
phone including tax?

Answers

Answer:

$614.2

Step-by-step explanation:

Um I just calculated it. I'm in Algebra 2 so it's light work

387.4 rounded to the nearest tenth

Answers

Answer:

387.4 is the answer

Step-by-step explanation:

hope this helps=)

Answer:

387.4 rounded to the nearest tenth is 387 because if it's 4 and below you'll get the ones place the same. And if it's 5 and over, the ones place will go up...

Substitute the values of x and y into the expression -3x^2+ 2y^2 + 5xy - 2y + 5x^2 - 3y^2. Match that values to one of the numbers.


1. x = 0.5, y = -1/10
2. x = -1, y = -3
3. x = ¾ , y = ⅖
4. x = 0, y = 2.5
5. x = √2, y = √2
6. x = 2, y = -1


A. -11.25


B. 0.44


C. 14


D. -1


E. 9.17



Answers

Answer:

c

Step-by-step explanation:

try calculator and see which fits

everything is above

Answers

Answer:

at week 5 the higth is 6.5

Step-by-step explanation:

4. You buy a video game and pay for it with a $50 bil. Write an expression that can be used to find out how much change you shoud receive. ​

Answers

Answer:

[tex]\boxed{\textsf {\textbf{The amount returned by the shopkeeper is \$ 50 - x .}}}[/tex]

Step-by-step explanation:

Given that I buy a video game and pay $ 50 to the shopkeeper . And we need to find the expression how much change should I receive .

So , let us take that the video game costs x . There can be two cases .

Case 1 :-

When the cost of the product is same as the amount given . When the cost of the video game is $50 then the shopkeeper will give us no change .

[tex]\boxed{\red{\sf Returned\ change = \$ 0 }}[/tex]

[tex]\rule{200}2[/tex]

Case 2 :-

When the cost of the video game is less than $50 then the shopkeeper will return us some change that is equal to the difference if the amount given to shopkeeper and the cost of the video game .

If the cost of the video game is x , then the amount given to us by the the shopkeeper will be ,

[tex]\boxed{\red{\sf Returned\ change = \$ 50 - x }}[/tex]

Pleaseee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

(2, -12)

Step-by-step explanation:

Answer:

(2, -12)

Step-by-step explanation:

(x, y ) = (0, -8)

2 units right = +2 units to the x-coordinate

4 units down = -4 from the y-coordinate

(0+2, -8-4)

= (2, -12)

Una cámara de refrigeración industrial tiene una temperatura de 2°C disminuye su temperatura a razón de 4°C por minuto ¿cuantos minutos le toma llegar a -18°C?​

Answers

Answer:

Tarda 5 minutos

Step-by-step explanation:

En un minuto baja a -2°C, en dos minutos baja a -6°C, en tres minutos baja a -10°C, en cuatro minutos baja a -14°C, en cinco minutos baja a -18°C

ESPERO TE AYUDE ;)

Solve equation 3(x+5)=36

Answers

Answer:

x = 7

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

3x+15=36

    -15  -15

      3x=21

        x=7

Solve the inequality by stating the solution and graphing it.
3 – 5x < -4x + 9

Answers

Answer:

x>-6

graphing (-6,0)

Step-by-step explanation:

3-5x<-4x+9-- Add 5x to -4x

3<x+9--- subtract 9 from both sides

-6<x

How many different ways can you have 50¢ in change using only quarters, dimes and nickels?

A. 1
B. 4
C. 10
D. 15
PLZ help!

Answers

Answer:

Answer vary :

C. 10

Step-by-step explanation:

at least in my opinion I think so.

Answer:

C i think

you can you use 10 nickels

What is the measure of the indicated angle ?

Answers

Answer: this is easy put attention to your teacher

Step-by-step explanation:

PLS HELP ILL GIVE BRAINLIEST!!

Answers

Answer:

y = -7/2x - 7

Step-by-step explanation:

let me know if you need the steps . . .

Need help will give thanks and brainliest

Answers

Answer:

[tex]y=\frac{2}{3} x-1[/tex]

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line intercepts the y-axis)

1) Find the slope of the line (m)

The equation for slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (3,1) and (6,3)

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]=\frac{3-1}{6-3}\\=\frac{2}{3}[/tex]

Now, plugging this back into [tex]y=mx+b[/tex], our equation looks like this:

[tex]y=\frac{2}{3} x+b[/tex]

2) Find the y-intercept of the line

To find the y-intercept, we take the equation that we have so far and plug in any given point to solve for b. For example, we can use the point (3,1):

[tex]1=\frac{2}{3}*3+b\\1=2+b[/tex]

Subtract both sides by 2 to isolate b

[tex]1-2=2+b-2\\-1=b[/tex]

3) Plug m and b into y=mx+b

[tex]y=\frac{2}{3} x-1[/tex]

I hope this helps!

PLEASE HELP! GIVING POINTS :)!

Answers

Answer:

56 square feet

Step-by-step explanation:

If you take the problem and divide into two rectangles by drawing the line up from the bottom 4.

You end up with one rectangle that is

8x4

and a second thats

4x6.

The area is then calculated by taking the length and multiplying by the width of the first (8 x 4) and adding to the same process of the second (4x6)

Thus

32 + 24 = 56 square feet

Answer:

32 + 24 = 56 square feet

The sum of two numbers is 30 and their difference is 4. Find the numbers​

Answers

Answer:

17 and 13

Step-by-step explanation:

So you can set up an equation:

let x be the greater number

this means that the smaller number would be 4 less than x, because their difference is 4, so x - 4.

The sum is 30, so x + (x - 4) = 30

Then, solve:

x + (x - 4) = 30

x + x - 4 = 30

combine like terms

2x - 4 = 30

add 4 to both sides

2x = 34

divide both sides by 2

x= 17

Now you know the greater number is 17. Since they have a difference of 4, you can do 17 - 4 = 13 to get the smaller number.

The numbers are 17 and 13

"-5 increased by one-half of a number is a
maximum of 3."

Answers

This is True this statement so it’s true it would be -5 inclrease by 3

We can write the given statement as expression -

- 5 + (1/2)x = 3

What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the statement -

"-5 increased by one-half of a number is a maximum of 3"

We can write it as an expression -

- 5 + (1/2)x = 3

Therefore, we can write the given statement as expression -

- 5 + (1/2)x = 3

To solve more questions on expression evaluation, visit the link below -

brainly.com/question/1041084

#SPJ5

If tax
The ticket price of an item is $14.99.
is 4.5%, what is your total?

Answers

$.67 is the answer because all you have to do is do $14.99 x 4.5%

Answer: 15.66

Step-by-step explanation:

Find x in triangle ABC using geometric means.​

Answers

Given:

The figure of a right angle triangle.

To find:

The value of x using geometric mean.

Solution:

According to the geometric mean altitude theorem, if an altitude h divides the hypotenuse in two parts a and b, then

[tex]\dfrac{a}{h}=\dfrac{h}{b}[/tex]

Let attitude from A touches the hypotenuse at point D.

Using this in the given triangle, we get

[tex]\dfrac{BD}{AD}=\dfrac{AD}{CD}[/tex]

[tex]\dfrac{12}{x}=\dfrac{x}{3}[/tex]

[tex]12\times 3=x^2[/tex]

[tex]36=x^2[/tex]

Taking square root on both sides, we get

[tex]\pm \sqrt{36}=x[/tex]

[tex]\pm 6=x[/tex]

Side cannot be negative. Therefore, the only value of x is 6.

The sales tax rate is 6.3%. Rosa buys a shirt priced as $108, what is her total cost including tax (nearest hundredth)​

Answers

Answer:

$114.80

Step-by-step explanation:

108 increase 6.3% =

108 × (1 + 6.3%) = 108 × (1 + 0.063) = 114.804

TOPIC: You and two friends have $20 to spend on snacks after school.

Explain how you would divide the money between the three of you.

Explain where you would go and what you would buy with your money.​

Answers

Each friend gets $6.60 and I would go to an dollar tree or 7/11 and buy a drink and some chips

1+4-6,2-7+6,4-8+2,6-3-7 highest to lowest

Answers

Answer:

-1 , 1 , -2 , - 4

in order its

1, -1 , -2 , -4

Step-by-step explanation:

PSLS S S S S S S S s s s. Ss s s s s

Answers

Answer:

80

Step-by-step explanation:

5x2x8=80

Answer:

volume= 8*2*5

=80cube

what is a axe on a graph?

Answers

Answer:

Plural of Axis. Pronounced "ak-seez". Axes often means the "x" and "y" lines that cross at right angles to make a graph. See: Axis (graph) Cartesian Coordinates.

Step-by-step explanation:

“X” “Y” they cross at right angles to make a graph.

what is the missing variable

Answers

4x-7=7x-61
3x=54
54/3
Answer - 18

Answer: x= 18

Step-by-step explanation: these are corresponding angles which means they are equal.

(4x-7) = (7x-61)

-7 = 3x -61

54 = 3x

18 = x

1) A craftsman makes 40 items in 8 hours. How many
hours will he take to make 75 items?

Answers

Answer:

15 hours

Step-by-step explanation:

40/8 = 75/x

40x = 600

x = 15

Answer:

About 15

Step-by-step explanation:

40 items/8 hours = 5 items per hour( his rate)

75 items/ 5 items per hour= 15 hours

At his rate it will take him about 15 hours to make 75 items

What is the 11th term of the sequence: 7, 13, 19, 25, ....

Answers

pattern is adding 6

so the 11th would be 67

Adds 6 each time so the nth term rule is
6n+1
the +1 because you take away the amount you add by from the first term
The substitute 11 into this so
6x11=66
66+1=67
11th term is 67

Write 3435.332 out using words
(Pic for friends)

Answers

three thousand four hundred thirty-four and three hundred thirty-two thousandths

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