Type your answer in the box provided. Make sure to use complete sentences.

Real World: Choose ONE of the following quadratic equations to solve. State your method of solving, giving your reasoning for why you chose that method. Show all work, and put your final answers in context.

A person walking across a bridge accidentally drops an orange into the river below from a height of 140 ft. The equation 0=−x2+7x+18 gives the relationship between how many seconds, x, have passed when the orange hits the water. In how many seconds will the orange hit the water?
A bird drops a stick to the ground from a height of 80 feet. The equation 0=−16x2+64x+80 gives the number of seconds that have passed when it hits the ground. After about how many seconds did the stick hit the ground?
Things you MUST include: (1 point each for a total of 5 points)

Method of solving the quadratic.
Reasoning for choosing this method.
All work to solve the quadratic equation.
The two mathematical answers to the equation.
The answer to the question asked, based on which answer is reasonable.
You may either type your answer in the text box below OR upload a file, picture, or scan of handwritten answers. All files should be saved using the following template: "Last Name_First Name_Assignment Name_Question Number." Refer to Orientation for help with file uploads.

Answers

Answer 1

Answer:

A bird drops a stick to the ground from a height of 80 feet. The equation 0=−16x2+64x+80 gives the number of seconds that have passed when it hits the ground. After about how many seconds did the stick hit the ground?

Step-by-step explanation:

h = -16t^2 + 80   Stick hits the ground when h = 0:

0 = -16t^2 + 80    

16t^2 = 80

t^2 = 80/16 = 5

t = POSITIVE root 5 (due to the real world nature of the problem)

t approximately 2.236 seconds.

========================================

Graph is a downward opening parabola with h-intercept of 80, t-intercept(s) of sqrt(5), - sqrt(5)

Symmetric about h-axis, though I would only graph on the right side of the h-axis since  

that is where t >= 0.


Related Questions

Which expression gives the measure of Z RST in the diagram below?
T
u
S
38
V
162
R
A. 162° + 38°
B. 162° -38°
c. Ż(162° - 38°)
O D. (162° + 38°)

Answers

Answer:

Your answer should be C. 1/2(162 - 38)

Step-by-step explanation:

Luke walks 40 miles in 25 seconds and Maria walks 30 miles in 10 seconds who walks faster?

Answers

Answer:

Thank to Goalscore24 correcting me, its actually Maria walking faster

Because 40 divided by 25 is 1.6

and 30 divided by 10 is 3

So Maria runs 3 miles in 1 second, and Luke runs 1.6 miles in 1 second

So Maria is faster.

Betsy has $4.25 and her brother has $16.00 they want to buy two water guns that cost $12.99 each and a bag of water balloons that cost $4.79. Do they have enough money if so how much money will they have left over. If not how much more money will they need?

Answers

Answer:

No they don't have enough money, they need $10.52

Step-by-step explanation:

So first, you will add 4.25+ 16.00 = $20.25 < This is the amount they have.

Second, they want two water guns so 12.99 x 2 = 25.98 < This is the price for the water guns.

Then, add the price of the water ballons to the guns which is $30.77 < This is the cost for everything they want to buy.

Subtract $30.77 from $20.25 to recieve the answer of $10.52

Hope this helps!

A plumber charges $18 for transportation and $27 per hour for repairs.
Complete the expression that can be used to find the cost in dollars for a repair that takes h hours.
An expression that can be used to find the cost in dollars for a repair that takes h hours is
h.

Answers

Total = price per hour x number of hours + travel fee.

Total = 27h + 18

Write each phrase as an algebraic expression.
n divided by 8
p multiplied by 4
b plus 14
90 times x
a take away 16
k less than 24
3 groups of w
the sum of 1 and q
the quotient of 13 and z
c added to 45
8 less than w

(please, don't say something random to get points, say the answer only.)

Answers

n/8, 4p, b+14, 90x, -16, 24-k, 3(w), 1+q, 13/z, 45+c, w-8

(-8) + 2 + (-11) - (-9) + (6) cuanto es plis?

Answers

Answer:

=−2

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

if there are  these () around a negative number then it makes it even.

Which of the following values are zeros for the function below? Select all that apply.
g(x) = (x² + 4x - 12)(x - 3)
-6
03
-2
0 0
2
3
06

Answers

-2 because I just guess jk

Write the expanded form of the expression 5(2x - 4 )

Answers

[tex]5(2x-4)=10x-20[/tex]

Hope this helps.

Step-by-step explanation:

Write 5

(2

x−

4)

as an equation.y

=

5

(2x−4)

image down below plz help

Answers

Answer:

12 boys and 18 girls

Step-by-step explanation:

the ratio from boys to girls is 2 to 3

12/2=6

18/3=6

both equal 6 meaning that both are proportional meaning that A is the correct answer  

Answer:

a.

Step-by-step explanation:

12 and 18 is equal to 2/3

determine whether the ratios are equivalent. 4 7 and 8 11​

Answers

Answer:

answer is the ratios are not equivalent or not in proportion

Step-by-step explanation:

you can find it by crops multiplication

4/7

8/11

4*11

8*7

44=56

Therefore it is not in proportion

Answer:  4 : 7 = 8 : 14

8 : 11 = 16 : 22

Step-by-step explanation:

The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.

The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.

Which of the following measurements, in centimeters (cm), could be the lengths of the sides of a triangle? Select all that apply
3 cm, 4 cm, 5 cm
4 cm, 10 cm, 14 cm
5 cm, 11 cm, 15 cm
06 cm, 6 cm, 13 cm
7 cm, 4 cm, 12 cm
8 cm, 10 cm, 17 cm

Answers

5cm I think or you can try 7cm

Help!
Please show work

Answers

Answer:

131°

Step-by-step explanation:

to find the total degrees of this polygon, we use the equation

=> n - 2 × 180°                         (n= number of sides)

5 - 2 × 180° = 540°

now by using angle sum property,

540° = 80° + 148° + 81° + 100° + [tex]x[/tex]°

540° = 409° + [tex]x[/tex]°

[tex]x[/tex]° = 540° - 409°

[tex]x[/tex]° = 131°

Car A travels 20 mph faster than Car B. In the same time that Car A travels 208 mi, Car B travels 156 mi. Find their speeds. The speed of Car A is and the speed of Car B ​

Answers

Step-by-step explanation:

Assuming the speed of car B to be x and the speed of car A to be x+20

156 = 208

x. x+20

156(x+20)= 208x

156x+3120=208x

3120=208x-156x

3120=52x

x=60

The speed of car A is (x)= 60

The speed of car B is(x+20)= 80

Answer:

[tex]\huge\colorbox{red}{Car\: A=80}\colorbox{blue}{Car B=60}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:equationPEMDASlet's solve:

let the speed of car A be A

let the speed of car B be B

according to the first condition:

[tex]\quad A=B+20[/tex]

according to the second condition:

[tex]\quad 156(A)=208B[/tex]

[tex]\text{substitute the value of A into the equation:}\\ \sf \implies 156(B+20)=208(B)[/tex][tex]\sf distribute:\\ \implies 156B+3120=208B[/tex][tex] \sf \: substract\: 156B \: from \: both \: sides : \\ \implies \: 156 B -156 B + 3120 = 208 B - 156 B \\ \implies \: 3120 = 52 B[/tex][tex] \sf divide \: both \: sides \: by \: 52 : \\ \implies \frac{52B}{52} = \frac{3210}{52} \\ \therefore \: B = 60[/tex]

therefore

[tex]\text{the speed of car A is 60+20=80}[/tex]

Abertura formada por dos
semi-rectas con un mismo
origen llamado vértice.

Answers

Umm I don’t know I need help to

The two triangles shown can be proven congruent through ...
AAS
ASA
SAS
SSS

Answers

Answer:

Step-by-step explanation:

SAS

Answer:

AAS

Step-by-step explanation:

In this scatterplot, the horizontal axis indicates years
since 2000 and the vertical axis indicates the population
of a pack of wolves. The equation of a trend line is also
given. Use it to predict the population in 2016.
11

Answers

Answer:

Population of wolves in 2016 = 23

Step-by-step explanation:

Equation of the line of best fit has been given as,

y = 1.5x - 1

Here, y = population of a pack of wolves

x = duration (in years) since year 2000

Duration between year 2000 and 2016 = 16 years

Now we substitute the value x = 16 in the equation of line of best fit,

y = 1.5(16) - 1

y = 24 - 1

y = 23

Therefore, population of wolves in 2016 = 23

Give the most descriptive name for


Answers

Answer:

trapezium................

3 and 4 guys! Please help! I suck at this

Answers

Answer

# 3 is D.(20) and #4 is D. ( The hourly rate charged by the locksmith)

Step-by-step explanation:

Hope that helped :)

Jennifer deposits $1,000 into an account that is compounded monthly for 4 years. The account earns 7% interest. What is the ending balance in the account at the end of the 4 years (assuming no new deposits or withdrawals)? SHOW THE WORK PLEASE ​

Answers

9514 1404 393

Answer:

  $1,322.05

Step-by-step explanation:

The compound interest formula is appropriate.

  A = P(1 +r/n)^(nt) . . . principal P earning annual rate r for t years, compounded n times per year

You have P=1000, r=.07, n=12, t=4, so the balance is ...

  A = $1000(1+.07/12)^(12·4) ≈ $1000(1.322054)

  A = $1,322.05

Jennifer's ending balance is $1,322.05.

Answer this question to get marked as brainliest!!!!

Answers

Answer:

11

Step-by-step explanation:

How many faces does a solid with 12 vertices and 18 edges have?
28, 18, 6, or 8?

Answers

Answer:

8 faces

Step-by-step explanation:

In geometry, the hexagonal prism is a prism with a hexagonal base. This polyhedron has 8 faces, 18 edges, and 12 vertices.

Hope this helps!

find the value of x please help

Answers

using angle sum property

we get

110+35+(x+12)=180

(x+12)=180-145

(x+12)= 35

x= 35-12

x= 23

Answer:

Angles in a triangle are sum up to 180 degrees.

35 + 110 + (x+12)=180

145+x+12=180

157+x=180

x=180-157

x=23 degrees

❗️❗️❗️HELP❗️❗️❗️

Use f(x) and g(x) to answer the question.
f(x) = x +4
g(x) = x – 2
What is the product (fºg)(x)?

Answers

Answer:

Correct answer is the first one x^2 + 2x - 8

because (x + 4) (x - 2)

= x ^2 + 4x - 2x - 8

= x^2 + 2x - 8

Lula is planting her spring garden. It takes nineteen giant bags of soil to fill five flower beds. How much soil is in each flower bed?

Answers

Answer:

19/5 = 3 4/5 soils for each flower bed.

Step-by-step explanation:

Answer is 3 4/5 soils  in each flower bed.

The value v of your quarters in cents) is a function of n, the number of quarters you have.
a. Give 2 input-output pairs that represent this function.
b. Write an equation that represents this function.
c. Find the output when the input is 10.
d. Identify the independent and dependent variables.

Answers

Answer:

a) (2, 0.5)  (4, 1)

b) V(n) = 0.25n

c) $2.50

d) # quarters = independent

value = dependent

Step-by-step explanation:

The independent value is the number of quarters and the dependent variable is the value of cents and the  equation that represents this function is,

[tex]v(n)=25\times n\rm \;\;cents[/tex]

How to write algebraic expression?

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used to represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic expression-

Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.

a. Give 2 input-output pairs that represent this function.

There is total 25 cent is 1 quarter. Thus, when if there are 2 quarters, then the value of cent is 50 and when there are 4 quarters, then the value of cents is 100 cents.

Hence, the two pairs should be as,

(2, 50), (4, 100)

b. Write an equation that represents this function.

As, v is the value of quarters in cents. There is total 25 cent is 1 quarter. The total quarter is n. Thus, the function can be given as,

[tex]v(n)=25\times n\rm \;\;cents[/tex]

c. Find the output when the input is 10.

Put the value 10 on the place of n in the above equation as,

[tex]v(10)=25\times (10)\\v(10)=250\rm cents[/tex]

The output when the input is 10 is 250 cents.

d. Identify the independent and dependent variables.

The independent value is the number of quarters and the dependent variable is the value of cents.

Hence, the independent value is the number of quarters and the dependent variable is the value of cents and the  equation that represents this function is,

[tex]v(n)=25\times n\rm \;\;cents[/tex]

Learn more about the algebraic expression here;

https://brainly.com/question/2164351

Which of the following is a solution to the equation y=-1/4x+8 and please explain the steps.

A. (10, -8) C. (-4, 9) B. (4, 8 )D. (-8, -10)

Answers

I think it’s d .....

Three charges are located at the vertices of a triangle, as shown. An isosceles triangle lying on its side. The two charges at the corners of the base of the isosceles triangle are labeled +5 C and +10 C. The top of the triangle is labeled +4 C with 4 vectors from it. The one east is labeled Y, the one west is labeled W, the one northeast is labeled X and the one southeast is labeled Z. Which vector best represents the net force acting on the +4 C charge in the diagram? W X Y Z

Answers

Answer:

y

Step-by-step explanation:

Please help me with the question I asked I’m doing a text please.

Answers

Answer:

Wait, what question?? I can try to do it.

find the nth tearm

-5 -2 3 10 19

Answers

Given :

The sequence is -5 , -2 , 3 , 10 , 19 .

To Find :

The nth term of the given sequence .

Solution :

Difference between first 2 terms :

-2 - ( -5 ) = 3    1 term

3 - ( -2 ) = 5     2 term    

10 - 3 = 7         3 term

19 - 10 = 9       4 term

From the above observation we can say that difference is increasing in odd number .

So, the nth term will be :

[tex]a_{n+1}= -5 + (2n+1)[/tex]  for n greater than equal to 0.

Hence, this is the required solution.

латна монтаж на работа
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Growth Measure Math | Welcome, HAILEE KNOTT
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Last week Marisol made $147 for working 12 hours at the local park district. How much money will Marisol make if she works 15 hours next weeka
$152.55
$172.50
$180.00
$183.75
77051
Sklo

Answers

Answer:

$183.75

Step-by-step explanation:

divide by 12 (hours)

147/12=12.25

multiply by 15 (hours)

12.25*15=183.75

Hope this helps! :)

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