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

Answer:

See below

Step-by-step explanation:

Given function

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            

The graph is attached

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.

Help me please :(:(:(:):):):):):

Consider the system of linear equations −4x+2y=4 and 4x−y=−6. Which is different?

can someone please help ​

look yall i got 10 math questions if you get all ten right brainlliest so if yall could help a man out here it would be great
here they are

1.)Which of the following best describes the squaring property of equality?
A.
if a=b,then [tex]a^{2} =b^{2}[/tex]
B
if [tex]a\leq b then a^{2} \leq b^{2}[/tex]
C
[tex]if a\geq b then a^{2} \geq b^{2}[/tex]
D
[tex]if a \neq b then a^{2} \neq b^{2}[/tex]

2.)Solve for x.
[tex]\sqrt{x-2} =9[/tex]
A.
11
B.
20
C.
83
D
no solution

3.)The length of a side of a square is [tex]\sqrt{x^{2}-4 }[/tex] If the area of the square is 12, find x.
A.
16
B.
4
C.
12
D.
[tex]\sqrt{148}[/tex]

4).Solve for x.
[tex]5x^{2} +3=-122[/tex]

A.
no solution
B.
–5
C.
±5
D.
±25

5.)solve for x[tex]x^{2} +5=30[/tex]

A.
±25
B.
[tex]\sqrt{35}[/tex]
C.
±5
D.
no real solutions
6.)The acceleration of an object can be described by the equation[tex]a=\frac{2d}{t²} where a is acceleration, d is the distance, and t is time. Suppose an object accelerates for a distance of 15 meters. Which of the following equations relates the time to the acceleration?
A.
[tex]t=\sqrt{\frac{a}{30} }[/tex]
B.
[tex]t=\sqrt{\frac{a}{15} }[/tex]
C.
[tex]t=\sqrt{\frac{30}{a} }[/tex]
D.
[tex]t=2\sqrt{\frac{30}{a} }[/tex]

7.)The acceleration of an object can be described by the equation [tex]a=\sqrt{\frac{2d}{t²} }[/tex] , where a is acceleration, d is the distance, and t is time. Suppose an object accelerates at a rate of 5 meters per second squared. Which of the following equations relates the time of the acceleration to the distance?
A.
[tex]t=\sqrt{10d}[/tex]
B.
[tex]t=\sqrt{2d}[/tex]
C.
[tex]t=\sqrt{\frac{5d}{2} }[/tex]
D.
[tex]t=\sqrt{\frac{2d}{5} }[/tex]

8.)Solve for x [tex]\sqrt{2x+8}=2[/tex]

A.
2
B.
–3
C.
–2
D.
no solution

9.)Solve for x:[tex]\sqrt{3x-2}=2[/tex]

A.
2
B.
[tex]-\frac{2}{3}[/tex]
C.
–2
D.
no solution

10.)What is the first step to solve the equation [tex]x^{2} -3=15[/tex]
A.
Take the square root of [tex]x^{2}[/tex], 3, and 15.
B.
Square 15.
C.
Add 3 to both sides of the equation.
D.
Add 1 to both sides of the equation.

can yall help a brother out im in deep sh|t if i dont pass so if your gunna do it do it right thank yall for helpen me out oh and i already tried to look em up so that dont work

complete the equation so that it has infinitely many solutions

4(x/8-2)=1/4(2x-___)

the volume of a recta

Which expression is equivalent to 2x - 1/3(12x - 30)?
A. 2(x - 5)
B. -2(x + 5)
C. -2(x - 5)
D. 2(x + 5)

Factor each expression using the greatest common factor. 8x - 28; 12x + 15

How many factors does (2x + 4)(x - 3)(7x - 5) have?

Solve
7 + X = 2x-5
3

Find the product. (6x2 + 8)(3x2 – 5x + 7)
o 4234 – 70x3 + 98x
18x4 – 30x3 +66x2
40x + 56
O 18x4 – 30x3 + 42.2 + 8
O 18x4 + 36x2
402 + 56

Last week, Naomi set a new personal record for running the mile. She beat her previous record by 14 seconds. The time change from her previous record can be represented by.____
zero
a positive rational number
a negative rational number


brainlyist for the correct answer

.

MULTIPLE CHOICE: Choose the BEST ANSWER. The equation C = 5n represents the cost “C” in dollars for “n” caps that advertise the walkathon. Which of the following ordered pairs could represent a number of caps and the cost for that number of caps, (n, C)?
A. (0 , 5)
B. (3 , 15)
C. (15 , 60)
D. (5 , 1)

use elimination to solve and please show ur work.
4x + 3y = 6
2x - y = -2

Which of the following graphs could represent the volume of water in a cylinder as a
function of its height? Explain your reasoning.

Mario and Luigi ran laps to train for their race. The ratio of number of laps Mario ran to the number of laps Luigi ran was 4:5. If they ran a total of 27 miles, how many miles did Luigi run

What is the factored form of this polynomial? 2x^4 + 2x^3 - x^2 - x

Multiply the radical expression:
6 3.2 4

HELP PLEASE ASAP!!! HELP PLEASE HELP WITH THIS!​

Help me please thank you :)

Keith has $500 in a saving account at the beginning of the summer. He wants to have at
least $200 in the account. He withdraws $25 from his account each week for food,
clothes, and movie tickets. ("Withdraws" means he takes money out of his account.)
How many weeks can he withdraw $25 per week and still have at least $200 in the
account?


There’s a second question to this problem:
How many weeks can Keith withdraw $25 per week and still have at least $200 in the account? Write your answer in interval notation.

(-2) + (-4) =
5 7

(9) + (-4) =
10 9
me ayudan? :c

PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!

How please help me and explain bc I have no clue how

Someone help please and make sure it’s right :)

Derrick needs to sell a minimum of 100 orders each month to make it into the sales winners circle. He has already sold 45 orders this month. He still needs to sell s more orders. Which inequality can be used to find the possible values for s? s−45>100
s−45<100 s+45≤100 s+45≥100

True or false A graph that shows distance per unit of time shows speed. _________

If you order 3 pizzas, you will get 30 slices of pizza. How many slices are there in one pizza?

in the scale drawing what will the length of the West side be? ​

suppose that 17% of people have dogs. If two prople are randomly chosen, what is the probability that they both have a dog?​