Algebra help needed

Algebra Help Needed

Answers

Answer 1

Answer:

The ball will reach the ground when h=0.

Set the equation equal to 0.

[tex]0=-8(2 t-4)(t+1)[/tex]

[tex]t=-1,2[/tex]

Step-by-step explanation:

The height of a golf ball after it has been hit from the top of a hill can be modeled by the equation

[tex]h=-8(2 t-4)(t+1)[/tex],

where h is the height in feet and t is time in seconds.  

When ball will reach the ground the distance between ball and ground is 0. So, the ball will reach the ground when h=0.

To find the time it takes for the ball to reach the ground,  set the equation equal to 0 and use the Zero Product Property to solve for $t$.

[tex]h=-8(2 t-4)(t+1)[/tex]

[tex]\Rightarrow 0=-8(2 t-4)(t+1)[/tex]

Solve the equation using the Zero Product Property.

[tex]2t-4=0\Rightarrow t=\dfrac{4}{2}=2[/tex]

[tex]t+1=0\Rightarrow t=-1[/tex]

So, [tex]t=-1,2[/tex]


Related Questions

Help me please need help gonna fail sos

Answers

Answer:

235

Step-by-step explanation:

We have ED is 95.

We can find EC by 180-40 = 140

So DEC = 95+140=235

Answer:

236

Step-by-step explanation:

IV
What is the range of the function on the graph?
5
4+
3+
all real numbers
O all real numbers greater than or equal to 0
all real numbers greater than or equal to 1
all real numbers greater than or equal to 2
2+
1 +
-5 4 -3 -2 -11
1 2 3 4 5 X
h
-27
-37
I
-4
-5​

Answers

The answer is all real numbers

Can someone please help me with this question

Answers

Answer:

54

Step-by-step explanation:

Based on the graph below, what is a reasonable estimate for the y value when x is -4?

Answers

Answer: i think the answer is 1.5

Step-by-step explanation:

The temperature at noon is -4 degrees Celsius. The temperature at 6:00 is -12 degrees Celsius. What is the difference between the noon and the 6:00 pm temperatures?

Answers

Answer:

-8 degrees

Step-by-step explanation:

12-4 is 8 so the difference is -8

There is a difference of 8 degrees Celsius.
-4-(-12)= 8

Help please Name the quadrant or axis where each point lies.

Answers

Answer:

x-axis.3rd Quadrant4th Quadrant.2nd Quadrant

Estimate the solution to the system of equations. You can use the interactive graph below to find the solution.
y=−x+2
y=3x−4 ​

x=
y=

thank you!

Answers

Answer: x= 3/2 and y= 1/2

Step-by-step explanation:

Since both equations are equated to y, you just need to use substitution to create the equation below:

-x+2 = 3x-4

Solve the equation for x:

4x=6

x=6/4=3/2

Plug in x into any one of the given equations to find the value of y:

y=-x+2

y= - (3/2)+2

y= - (3/2)+4/2

y= 1/2

Hope this helps!

The solution to the system of equations will be x= 3/2 and y= 1/2.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The given equations are y=−x+2 and y=3x−4 ​to calculate the values of x and y using the substitution method.

Since both equations are equated to y, you just need to use substitution to create the equation below:

-x+2 = 3x-4

Solve the equation for x:

4x =6

x =6/4=3/2

Plug x into any one of the given equations to find the value of y:

y =-x+2

Solve for the value of y.

y = - (3/2)+2

y = - (3/2)+4/2

y = 1/2

Hence, the solution for the equation will be x= 3/2 and y= 1/2.

To know more about the system of linear equations follow

brainly.com/question/14323743

#SPJ5

What is the simplified expression for 3 y squared minus 6 y z minus 7 + 4 y squared minus 4 y z + 2 minus y squared z? y squared minus y squared z minus 10 y z minus 5 y squared minus y squared z minus 5 y z minus 5 7 y squared minus y squared z minus 10 y z minus 5 7 y squared minus y squared z minus 2 y z minus 5

Answers

Answer:

Step-by-step explanation:

Are you asking to simplify: [tex]3y^2 - 6zy - (7+4y)^2- (4yz+2) -y^2 * z[/tex] ?

and [tex]y^2 - y^2 z - 10yz - 5y^2-y^2z - 5yz - 57y^2-y^2z-10yz-57y^2-y^z-2yz-5[/tex]?

Answer:

c

Step-by-step explanation:

At Paul Bunyan’s tree farm they sell Fraser firs and blue spruce trees. They plant saplings of these two kinds of trees that are 8 inches in 5 inches tall, respectively. The Fraser firs grow at a constant rate of 12 inches per year, and a blue spruce trees grow at a constant rate of 14 inches per year. After how many years will these trees be at the same height? Express your answer as a common fraction.

Answers

Answer: 3/2

Step-by-step explanation:

Hi, to answer this question we have to write the next expressions::  

Height 1= 8 +12 y

Height 2 =5 +14y

Where y = number of years

Since both heights must be the same

Height 1 = height 2

8+12y = 5+14y

solving for y:

8-5 =14y-12y

3 = 2y

3/2 =y

y = 3/2 years

Feel free to ask for more if needed or if you did not understand something.

8 + 12y = 5 + 14y

12y + 8 = 14y + 5

12y + 8 - 8 = 14y + 5 - 8

12y = 14y - 3

12y - 14y = 14y - 3 - 14y

-2y = -3

(-2y)/-2 = -3/-2

y = 3/2

hurry up plz!! Harry performed an experiment with a standard number cube. He rolled the cube and recorded the results in a frequency table. The frequency table is given below. Find the experimental probability of the cube landing on an even number.

Answers

Hi!
First find the total frequency
6+7+4+7+6+10=40

Now count up the frequency of ALL EVEN NUMBERS

7+7+10=24

Your answer should then be 24/40

In probability you don’t have to simplify but just in case I’ll leave the simplified answer
3/5

Hope this helped!
24/40 simplify if needed

how would you solve this problem?

Answers

Answer:

a) 6x²/2x³-4

b)  [tex]2ln (2x^3-4)+ C[/tex]

Step-by-step explanation:

a) Given the ln(2x³-4). We will use the chain rule in differentiating the function

If y = ln(2x³-4);

u = 2x³-4; du/dx = 3(2)x³⁻¹

du/dx = 6x²

y = ln u; dy/du = 1/u

According to chain rule, dy/dx = dy/dy*du/dx

dy/dx = 1/u * 6x²

dy/dx = 1/2x³-4 * 6x²

dy/dx = 6x²/2x³-4

Hence, the derivative of the given function is 6x²/2x³-4

b) Given an integral function [tex]\int\limits {\frac{12x^2}{2x^3-4} } \, dx[/tex], the integral problem can be solved using integration by substitution method as shown below;

From the question, let y = 2x³-4... 1, dy/dx = 6x²

dx = dy/6x² ... 2

Substituting equation 1 and 2 into the question given;

[tex]\int\limits {\frac{12x^2}{y} } \,\frac{dy}{6x^2} \\\\= \int\limits {\frac{2dy}{y} } \\\\= 2 \int\limits {\frac{dy}{y} }\\\\= 2lny + C\\substituting\ y = 2x^3-4\ into\ the \ resulting\ function\\\\= 2ln (2x^3-4)+ C[/tex]

A rectangle is 1 inch longer than it is wide. Its diagonal is 5 inches. What's the width of the rectangle?

Answers

Ok so the length of the triangle is x+1, and the diagonal is 5. Using Pythagorean’s theorem, the answer should be both -4 and 3

Answer:

The width is 4 inches

Step-by-step explanation:

Represent the length and width by L and W respectively.  Then L = W + 1.

According to the Pythagorean Theorem, the diagonal length is

D = sqrt( [W]^2 + [W + 1}^2 ) = 5, or [W]^2 + [W + 1}^2 = 25.

Then W^2 + W^2 + 2W + 1 = 25, and 2W^2 + 2W - 24 = 0.

Reducing, we get W^2 + W - 12 = 0, or (W + 4)(W - 4) = 0.  Then W - 4 = 0, and W (the width) is 4.  Then L = 5.

The width is 4 inches.

please help attachment

Answers

Answer: 12 days

Step-by-step explanation: if the track is 2214.5 miles long and Miguel is doing 21.14 miles an hours for 9 hours a day we’d need to know how much he completes in a single day

He does 9 hours and in each hour he completes 21.14 miles. So in a whole day he will complete 190.26 miles.

He needs to finish 2214.5 miles and he only completes 190.26 miles per day. So we divide to find how many days it will take him. After dividing we get the answer of 12 days

Answer would be 12 :)

What is the surface area of this cone?
Use a ã 3.14 and round your answer to the nearest hundredth.
6 m
4 m
square meters

Answers

Answer:

52.28 sq m

Step-by-step explanation:

SA=pi r(r+ the square root of h-squared and r-squared)

SA=3.14x2(2+the square root of 36 and 4)

SA=3.14x2(8.32)  

SA=52.28 sq m

The Surface area of the given cone is 50.24 meter square

What is Cone?

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the or vertex.

What is Surface area?

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given,

Slant height l = 6 meter

Radius of the base r = [tex]\frac{4}{2} =2[/tex] meter

Surface area of the Cone = [tex]\pi rl+\pi r^{2}[/tex]

=[tex]\pi (2)(6)+\pi (2^{2} )[/tex]

=50.24 meter square

Hence, the surface area of the given cone is 50.24 meter square

Learn more about Cone and Surface area here

https://brainly.com/question/23877107

#SPJ2

Rate Problems:
3. Potomac Paddleboards rents paddleboards for $15 plus $4.50 per hour (no partial hours). How many hours
can you rent a paddleboard if you want to spend no more than $42?
Define variable:
Equation:
Solution:
how do i solve this?

Answers

Define variable- 4.5x
Equation - 15+ 4.5x =42
Solution- x=6

15+ 4.5x =42
4.5x = 27
X=6
The answer is x=6 I hope this helped

The table shows equivalent ratios for converting from the United States dollar (USD) to the Canadian dollar (CAD). What is the Canadian dollar equivalent of 25 USD?

Conversion Chart
USD CAD
5 4.95
7 6.93
8 7.92
11 10.89

Answers

Answer:

C

Step-by-step explanation:

25*0.99 = 24.75

Answer:

C

Step-by-step explanation:

Im taking the test

Question 4 of 10
What do you know to be true about the values of p and q?
po
q"
60"
50"
30"
80°
A. p= 9
B. p< 9
C. p> 9
D. Can't be determined

Answers

Answer:

p > q

Step-by-step explanation:

We khow that the sum of a triangle's angles is 180°

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's start with the triangle containing p

● p+60+50 = 180

● p+110 = 180

● p = 180-110

● p= 90°

So p is a right angle

□□□□□□□□□□□□□□□□□□

The second triangle

● q+ 80+30 = 180

● q+ 110 = 180

● q = 180-110

● q = 70°

Then q is also a right triangle

■■■■■■■■■■■■■■■■■■■■■■■■■

We can deduce that p > q

compare -5/6 _ -3/7 choose from 1) > 2)

Answers

Answer

1)<2) please put 5 stars

Step-by-step explanation

First you need to find the GCF of the donominators which are 6 and 7. The GCF is 42.

6*x=42. x=7 5*7=35. -35/42 is the first fraction.

7*y=42 y=6 3*6=18. -18/42 is the second fraction.

-35/42 would be bigger but since it is negative, it is smaller.

Answer:

1)<2)

Step-by-step explanation:

What is x - ( -8) = 1 and what is x - ( -13) = 17?

Answers

Answer:

x - ( -8) = 1; x = -7

x - ( -13) = 17; x =

Step-by-step explanation:

x - ( -8) = 1 = x + 8 = 1

x = -7

x - ( -13) = 17 = x + 13 = 17

x = 4

Answer:

see below

Step-by-step explanation:

x - ( -8) = 1

Subtracting a negative is like adding

x+8 =1

Subtract 8 from each side

x+8-8= 1-8

x=-7

x - ( -13) = 17

Subtracting a negative is like adding

x+13 =17

Subtract 13 from each side

x+13-13= 17-13

x=4

Help ASAP!! This one's is difficult for me to understand!! Help me please!

Answers

Answer:

Ok so im in 7thgrade so ima try to help answer is x= 8x9

PLEASE HURRY!⚠️

Which is a perfect square?

Answers

6^2 is the correct answer

Answer:

Step-by-step explanation:

A number squared is a perfect square, thus

6² ← is a perfect square

Quadrilaterals L M N O and Q R S T are shown. Given that LMNO ≅ QRST, complete the statements. Side LM is congruent to side . Angle MNO is congruent to angle .

Answers

When you have two congruent figures, the vertices are listed in the same order. This means that

Side LM ≅ Side QR, Side MN ≅ Side RS, etc. The same applies for the angles.

Therefore, Side LM ≅ Side QR and Angle MNO ≅ Angle RST.

The complete statements are Side LM is congruent to the side QR and angle ∠MNO is congruent to angle ∠RST.

What is congruent quadrilateral?

The two quadrilaterals whose angles and sides of one quadrilateral are the same as the corresponding angles and sides of another quadrilateral then two quadrilaterals are congruent to each other.

The order of the lettering for congruent parts should place the lettering for corresponding parts in the same order.

Given in the question that the quadrilateral LMNO and QRST are congruent.

LMNO ≅ QRST

As we know Congruent Parts of the congruent Figures are also congruent, we have;

side LM is congruent to side QR.

side MN is congruent to side RS.

side NO is congruent to side ST.

side OL is congruent to side TQ.

Similarly, for the corresponding angles of the quadrilaterals, we have;

angle ∠MNO is congruent to angle ∠RST.

angle ∠NOL is congruent to angle ∠STQ.

angle ∠OLM is congruent to angle ∠TQR.

angle ∠LMN is congruent to angle ∠QRS.

Therefore, Side LM is congruent to the side QR and angle ∠MNO is congruent to angle ∠RST.

Learn  more about Congruent quadrilateral

here: https://brainly.in/question/41011000

#SPJ2

The dot plots below show the scores for a group of students for two rounds of a quiz:
Round 1
2
4
5
3
Score
Round 2
: :
..
+
1
2
4
5
3
Score
Which of the following inferences can be made using the dot plots?
O The range of round 2 is greater than the round 1 range,
O Round 2 scores are higher than round 1 scores
O Round 1 scores are lower than round 2 scores
There is no overlap between the data.

Answers

If it’s asking for only one answer it should be (A)

What happens when the multiplicity of a real root is odd?

Answers

Answer:

A: the graph will cross the x-axis

Answer:

A: the graph will cross the x-axis

Step-by-step explanation:

Tanya is considering obtaining a loan. Which benefit will Tanya receive if she makes a down payment when she obtains the loan?
A. higher finance charge
B. higher interest rate
C. higher principal amount
D.lower penalties on late payments
O E.
lower principal amount​

Answers

Answer:

E.  lower principal amount​

Step-by-step explanation:

We can use an example to show how this works:

You want to buy a car and it costs $20,000. The loan lasts 5 years (60 monthly payments) and the interest rate is 10%.

If you do not make any down payment, your initial principal will be $20,000, and your monthly payment will be $424.94, your total payments = $25,496.45 and the total interests = $5,496.45.

Instead, if you make a 20% down payment, your initial principal = $16,000,  and your monthly payment will be $339.95, your total payments = $20,397.16  and the total interests = $4,397.16.

Answer:

E.  lower principal amount​

The surface area of a rectangular prism that has height of 4 inches, width of 9 inches and length of 3 inches = ____________ in2.

Answers

Answer:

150 in^2

Step-by-step explanation:

The ends have the smallest surface area.  The total surface area of the ends is thus 2(3 in)(4 in) = 24 in^2

The top and bottom together have the total surface area 2(9 in)(3 in) = 54 in^2.

Finally, the front and back surface areas together are 2(9 in)(4 in) = 72 in^2

Thus, the total surface area is (24 + 54 + 72) in^2 = 150 in^2

Surface area of a rectangular prism is equal to [tex]\boldsymbol{150}[/tex] square inches.

Surface area of a rectangular prism

Height of a rectangular prism [tex]=4[/tex] inches

Width of a rectangular prism [tex]=9[/tex] inches

Length of a rectangular prism [tex]=3[/tex] inches

Surface area of a rectangular prism [tex]=\boldsymbol{2(lw+wh+hl)}[/tex] where [tex]l,w,h[/tex] denote length, width and height of a rectangular prism

Therefore,

Surface area of a rectangular prism [tex]=2\left [ 4(9)+9(3)+3(4)\right ][/tex]

                                                           [tex]=2\left ( 36+27+12 \right )\\=150[/tex]

So, surface area is equal to [tex]\boldsymbol{150}[/tex] square inches.

Find out more information about prism here:

https://brainly.com/question/12649592?referrer=searchResults

Bert’s cab company charges $1.00 plus an additional $3.00 per mile for a ride. Madeline’s cab company charges $3.00 plus an additional $2.00 per mile for a ride. Write a system of linear equations that shows the cost in dollars, y, for a cab ride of x miles for each cab drive At what distance, in miles, will the cost be the same for both companies? Show your work

Answers

Answer: (2,7) at 2 miles they both will cost $7


BERT
y=1+3x

MEDELINE
y=3+2x

LINEAR EQUATION
1+3x=3+2x
-2x both sides
1+x=3
-1 both sides
x=2

y=1+3(2)
multiply 3*2
y=1+6
y=7

i hope it’s correct <3 comment if any questions ;)

A cylinder with a base diameter of x units has a volume
of x cubic units
Which statements about the cylinder are true? Select
two options
The radius of the cylinder is 2x units.
The area of the cylinder's base is wa? square units.
The area of the cylinder's base is not square units.
The height of the cylinder in 2x umijs
The height of the cylinder is 4x units.
Save and Exit
Next
Submit
C

Answers

Answer:

The height of the cylinder in 2x units

The area of the cylinder's base is not square units.

Step-by-step explanation:

which sentence is represented by this algebraic equation "X/2-3=15"​

Answers

Answer:

A

Step-by-step explanation:

The correct answer is A.

"3 less than" represents -3

"half of x" represents x/2

"is 15" represents =15

Answer:

A

Explanation:

Mark scored an 89 on his first
test, an 85 on his second test, a
95 on his third test, and an 83
on his fourth test. If Mark wants
a tens score average of 90, what
must hc score on his fifth exam?

Answers

Answer:

98

Step-by-step explanation:

89+85+95+83= 352,

90x5= 450,

450-352= 98

The score on his fifth exam is 98.

To find the score on his fifth exam.

What is average?

Number that is calculated by adding quantities together and dividing the total by the number of quantities. Mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Given that:

First test=89

Second test=85

Third test=95

Fourth test=83

Average = 90,

so total among up to fourth test=89+85+95+83= 352,

So, 90x5= 450,

Total score=450

Fifth test=450-352= 98

So, the score on his fifth exam is 98.

Learn more about average here:

https://brainly.com/question/17125660

#SPJ2

Other Questions
l/ella/Ud.eraerasramoseraiseran 1. Peter applied for a job at an accounting firm and a consulting firm. He knows that 50% of similarly qualified applicants receive job offers from the accounting firm; only 40% of similarly qualified applicants receive job offers from the consulting firm Peter also knows that 60% of similarly qualified applicants receive an offer from one firm or the other. Hints: A The product of ages of a man 5 years ago and5 years hence is 600, find his present age. 6. How would the measurements for potential difference and current change if a 200 resistor was used in Circuit 1 instead of the 100 resistor? Explain your answer. The triangles are similar. Write a similarity statement for the triangles. Jackson is running a 10-mile race. He runs 1 mile every 8 minutes. Jackson's distance from this finish line after x minutes is represented by the function x+8y=80 What the correct answer fast A device called an insolation meter is used to measure the intensity of sunlight. It has an area of 100 cm2 and registers 6.50 W. What is the intensity in W/m2 "According to Google's 2013 Study on the Incremental Clicks Impact of Mobile Search Advertising, the vertical with the highest CTR was" 2g of magnesium Oreo to excess dilute acid according to the equation Mg(s) + 2H (aq) --- Mg (aq) + H2 (g) (Realitive atomic mass of Mg= 24, molar mass volume at room temperature and pressure = 24dm) The volume of hydrogen, measured at room temperature I pressure, that is produced is A) 1000 cm B)1500 cm C) 2000 cm D) 24 000 cm Beckett, Inc., has no debt outstanding and a total market value of $200,000. Earnings before interest and taxes, EBIT, are projected to be $30,000 if economic conditions are normal. If there is strong expansion in the economy, then EBIT will be 18 percent higher. If there is a recession, then EBIT will be 20 percent lower. Beckett is considering a debt issue of $75,000 with an interest rate of 8 percent. The proceeds will be used to repurchase shares of stock. There are currently 8,000 shares outstanding. Ignore taxes for this problem.a-1.Calculate earnings per share, EPS, under each of the three economic scenarios before any debt is issued. (Do not round intermediate calculations and round your final answers to 2 decimal places (e.g., 32.16).)EPSRecession $Normal $Expansion $a-2.Calculate the percentage changes in EPS when the economy expands or enters a recession. (Do not round intermediate calculations. Negative amounts should be indicated by a minus sign. Enter your answers as a percent.)Percentage changes in EPSRecession %Expansion %b-1.Calculate earnings per share (EPS) under each of the three economic scenarios assuming the company goes through with recapitalization. (Do not round intermediate calculations and round your final answers to 2 decimal places (e.g., 32.16).)EPSRecession $Normal $Expansion $b-2.Given the recapitalization, calculate the percentage changes in EPS when the economy expands or enters a recession. (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places (e.g., 32.16).)Percentage changes in EPSRecession %Expansion % Salty Sensations Snacks Company manufactures three types of snack foods: tortilla chips, potato chips, and pretzels. The company has budgeted the following costs for the upcoming period:Factory depreciation $13,645Indirect labor 33,817Factory electricity 3,856Indirect materials 8,010Selling expenses 18,985Administrative expenses 10,679Total costs $88,992Factory overhead is allocated to the three products on the basis of processing hours. The products had the following production budget and processing hours per case:Budgeted Volume (Cases) Processing Hours Per CaseTortilla chips 1,500 0.15Potato chips 3,600 0.12Pretzels 2,700 0.10Total 7,800 Required:a. Determine the single plant-wide factory overhead rate.b. Use the factory overhead rate in (a) to determine the amount of total and per-case factory overhead allocated to each of the three products under generally accepted accounting principles. Locate the complete prepositional phrase and identify its use. I stayed late to attend a club meeting after school. Prepositional Phrase: Use: A rectangular piece of sheet metal has an area of 1200 in2. It is going to be bent into a cylinder with volume 600 in3. What are the dimensions of rectangular piece of sheet metal Kevin is not fond of travelling; hence, he did not take up an assignment as the job involved excessive travelling. On the other hand, Sam took upthe same assignment simply because he loves travelling. What is such a contrasting behavior called?The contrasting behavior that influenced Kevin and Sam's job selection is known as A large company is hosting a conference. So far, a total of 3,922 people have signed up, including 26 from united states. How many people from other countries have signed up? pls help me I will give BRANLIEST!!!and follow you back (_)its due in 5minutes Discuss the significance of the Battle of Bullrun and Gettysburg. Which of these elements have the smallest 1st ionization energy Roman buys seed packets for the school garden. One packet of radish seeds costs $1.75. One packet of tomato seeds costs $2.50. Let r represent the number of radish seeds and let t represent the number of tomato seeds. Roman spent $62.75 on 32 packets of seeds. How many packets of each type of seeds did Roman buy? Use the table to guess and check. 8 tomato and 24 radish 9 tomato and 23 radish 23 tomato and 9 radish 24 tomato and 8 radish