An object is launched from a platform.

Its height (in meters), xxx seconds after the launch, is modeled by:

h(x)=-5x^2+20x+60h(x)=−5x

2

+20x+60h, left parenthesis, x, right parenthesis, equals, minus, 5, x, squared, plus, 20, x, plus, 60

How many seconds after launch will the object land on the ground?

Answers

Answer 1

Answer:

6seconds

Step-by-step explanation:

Given the height of an object modeled by the expression

h(x)=-5x^2+20x+60

The height of the object on the ground is zero i.e h(x) = 0

On substituting

h(x)=-5x^2+20x+60

0 =-5x^2+20x+60

Multiply through by -1

5x^2-20x- 60 = 0

Divide through by 5

x^2 - 4x - 12 = 0

x^2 - 6x + 2x - 12 = 0

x(x-6)+2(x-6) = 0

(x-6)(x+2) = 0

x - 6 = 0 and x+2  = 0

x = 6 and -2

Since time cannot be negative, hence it takes 6seconds after launch for the object land to on the ground

Answer 2

Answer:

6

Step-by-step explanation:

It was correct on Khan.


Related Questions

What are the numbers with a sum of 9 and product of -10

Answers

Answer:

-1 , 10   and 10 , -1

Step-by-step explanation:

hello :

if x , y  this numbers you have the system :   x+y =9.....(*)

                                                                        xy = -10.....(**)

use (*) : y = 9 - x

put this value of y in (**) : x(9-x) = -10

9x  - x² = - 10

x²-9x - 10 = 0

(x+1)(x-10)=0  means : x+1 = 0 or x -10 = 0

x = -  1   or x=10

if : x= -1    y = 9-(-1)=10

if : x= 10   y = 9-(10)=1

what is the slope of the line?

Answers

Answer:

2/3

Step-by-step explanation:

rise/run

2 up, 3 right

Answer:

[tex]m=\frac{2}{3}[/tex]

Step-by-step explanation:

what is x ?
3/2x -1=5

Answers

Answer:

4

Step-by-step explanation:

3/2x -1 = 5

then

3/2x = 5+1

then

3/2x = 6

then

x = 6 / (3/2)

then

x = 6 *2/3

then

x = 4

What is the approximate volume of the cone?

Use 3.14 for π.

A 1206 cm³

B 2170 cm³

C 3260 cm³

D 6510 cm³

Answers

I am pretty sure it’s A!

OMG PLS HELP WITH THIS IM PANICKING OMG I GOT A F IN MATH MY MOM JUST YELLED AT ME IM CRYING PLS HELP WITH THS- PLSS TELL ME

Answers

Answer:

lol xdxdxd how you not know fraction? this is basic math this is why you failed lolol

Step-by-step explanation:

The locker combination consists of 4, single digits ranging 0-9. How many possible combinations are there?

Answers

Answer:

10000 possible combinations

Step-by-step explanation:

Number of digits = 4

Range of values of each digit = 0 - 9

Number of digits in range = 10

Hence, each digit could be = (1 - 10)

1st digit = 10

2nd digit = 10

3rd digit = 10

4th digit = 10

Total possible combination :

10 * 10 * 10 * 10 = 10000 possible combinations

The first term of a geometric sequence is 5 and the common ratio is 2. What is the 4th term of the sequence?

Answers

Answer:

        80

Step-by-step explanation:

[tex]a_n=a_1\cdot r^{n-1}\\\\a_1=5\\r=2\\n=4\\\\a_4=5\cdot2^4=5\cdot16=80[/tex]

A hot chocolate recipe calls for three teaspoons of cocoa for every cup of milk. How many teaspoons of cocoa are needed for a batch that uses three cups of milk?

Answers

Answer:

9 teaspoons are needed

Step-by-step explanation:

multiply 3 teaspoons by 3 cups to find the answer.

the answer is 9 teaspoons.

9 teaspoons are needed for a batch that uses three cups of milk.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that  hot chocolate recipe calls for three teaspoons of cocoa for every cup of milk.

We need to find multiply 3 teaspoons by 3 cups to find the answer.

Therefore,  we will use unitary method;

3 teaspoons x 3 cups = 9

Hence the answer is 9 teaspoons.

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

Lenny has 7/8 cup of milk. He used 5/8 cup to make a cake and 2/8 cup to make cupcakes. How much milk did he have left after making both?

Answers

None, Reason: 5/8 + 2/8= 7/8

Which expression is equivalent to this polynomial?

6x2 + 10x − 56

A.
4(x − 4) − 2(3x2 + 3x − 20)
B.
(3x2 + 5x − 28) + (3x2 − 5x − 28)
C.
4(x − 4) + 2(3x2 + 3x − 20)
D.
(3x2 + 5x − 28) − (3x2 + 5x − 28)

Answers

Answer:

B i think sorry if im wrong

Step-by-step explanation:

Angles 2 and 8 are called alternate exterior angles what do you notice about alternate exterior angles select all that apply

Answers

Answer:

Step-by-step explanation:

m = 2(x + n) Solve for n​

Answers

Answer:

Hi! The answer to your question is [tex]n=m/2-x[/tex]

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

n= 1/2  m−x

Step-by-step explanation:

m=2(x+n)

Step 1: Flip the equation.

2n+2x=m

Step 2: Add -2x to both sides.

2n+2x+−2x=m+−2x

2n=m−2x

Step 3: Divide both sides by 2.

2n/2   =  m−2x /2

n= 1/2  m−x

Hopes this helps

i need help plz!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

i cant SEE the image

Step-by-step explanation:

What is the area of this shape?

Answers

Answer:

12mm (triangle)

165mm (whole shape)

Step-by-step explanation:

The triangle is 6 x 4 = 24 ÷ 2= 12

(divide by 2 because its a teiangle)

2nd shape is 10 x 8 = 80

3rd shape is 6 x 12 = 72

72 + 80 + 12 = 165mm

7b-2/5 = 6b-7/5
Solve for b.

Answers

Answer:

b = -1

Step-by-step explanation:

here's your solution

=> 7b - 2/5 = 6b - 7/5

=> 7b - 6b = -7/5 + 2/5

=> b = (-7+2)/5

=> b = -5/5

= b = -1

hope it helps

Answer:

b = -1

Step-by-step explanation: I put all the like terms together by moving 6b and -2/5, which then changed their signs to negative and positive, respectively.

7b-2/5 = 6b-7/5

7b-6b = 2/5-7/5

b = -1

I hope this helps. :)

The length of a swimming pool is 22 ft. The width is 40 ft. If the volume of the pool is 2,500 m3, what equation shows you how you can find the depth of the pool?

Answers

Answer:

volume= length x width x height

Step-by-step explanation:

In this instance the height will represent the depth of the pool.

To actually solve it it would look like

2500=(22)(40)(h)

2500=880(h)

2.84=h (or depth)

plz help me with this one
[tex]y = - 3 \\ y = 3x + 12[/tex]

Answers

Answer:

-3=3x+12

Step-by-step explanation:

What’s the answer to this!!!

Answers

Answer:

8.54

Step-by-step explanation:

Answer:

c = 8.5

Step-by-step explanation:

a² + b² = c²

8² + 3² = c²

64 + 9 = c²

c² = 73

[tex]\sqrt{c^2} =\sqrt{73}[/tex]

c = 8.5

What is the value of x in the figure? Enter your answer in the box.

Answers

just subract 145 from 180 and that the other angle then make an equation with 2x+15 plus that number and find the value of x

A gemstone is cut in the shape of a triangular pyramid. The area of the base of the pyramid is 42 square millimeters. The height of the pyramid is 4 millimeters. What is the volume of the gemstone? (Recall the formula V = one-third B h.)

Answers

Answer:

the volume of the gemstone is 56 millimeters^3

Step-by-step explanation:

The computation of the volume of the gemstone is shown below:

As we know that

The volume of the triangular pyramid is

= (1 ÷ 3) × (base area) × h

Now put the given values to the above formula

= 1 ÷ 3 × 42 × 4

=  56 millimeters^3

Hence, the volume of the gemstone is 56 millimeters^3

The above formula should be used and the same should be considered

x - 3/2 = 3. Please show your work. Will mark BRAINLIEST

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{x-\dfrac{3}{2}=3}[/tex]

[tex]\large\textsf{You have to SIMPLIFY the SIDES of The given EQUATION}[/tex]

[tex]\mathsf{x + (-\dfrac{3}{2}) = 3}[/tex]

[tex]\large\textsf{ADD by } \mathsf{\dfrac{3}{2}}\large\textsf{ to BOTH of the SIDES}[/tex]

[tex]\mathsf{x + (-\dfrac{3}{2})+ \dfrac{3}2{}=3+\dfrac{3}{2}}[/tex]

[tex]\large\textsf{CANCEL out: } \mathsf{-\dfrac{3}{2}+\dfrac{3}{2}}\large\textsf{ because that gives you 0}[/tex]  

[tex]\large\textsf{Keep: } \mathsf{3+ \dfrac{3}{2}}\large\textsf{ because that helps solve for your x-value }[/tex]

[tex]\large\textsf{New equation: }\mathsf{x = 3 + \dfrac{3}{2}}[/tex]

[tex]\mathsf{3+\dfrac{3}{2}}[/tex]

[tex]\large\textsf{SOLVE above and you have your ANSWER}[/tex]

[tex]\mathsf{3+\dfrac{3}{2}=\bf \dfrac{9}{2}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Therefore, your answer is: }\mathsf{\bf x = \dfrac{9}{2}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A regular octagon has a perimeter represented by the expression: p= 48y - 40. Write an expression to represent the length of one side of the octagon

Answers

Answer:

6y-5

Step-by-step explanation:

(48y- 40)/8 because an octagon has 8 equal sides.

-hope this helps:)

PLEASE HELP!! You make a scale drawing of a banner for a school dance. You use a scale of 1-inch feet. What is the actual width of the​ banner?

Answers

udbsjfjdjgjdjfjdhndbdbdbdndnsndnsnfnnskdmd

Step-by-step explanation:

hfjiskfksjfjsjf


5 cm
3 cm
9 cm
Area =

Answers

135cm^2

Explanation:
9x5x3
15•9 = 135

a reactangular court measures 600 cm wide and 700 cm long find the perimeter?

plan:

what operation will u use?

what is the number sentence?

solve:


... answer this pls!!!!

Answers

Answer:

2(l+b)

2(600cm+700cm)

2(1300cm)

2600cm

Therefore, the perimeter of the rectangular court is 2600cm.

Lee buys a computer and a printer for $2,028 The printer costs 30% the price of the computer. What is the price of the computer?

Answers

Answer: $1,560

Step-by-step explanation:

Assume the computer's price is x.

This means that expressing the printer in terms of x would be:

= 30% * x

= 0.3x

These two put together represent the cost of $2,028

Expression is:

x + 0.3x = 2,028

1.3x = 2,028

x = 2,028/ 1.3

x = $1,560

Computer was $1,560

Printer was therefore:

= 1,560 * 30%

= $468

What function does the graph represent

Answers

i believe it is either a or d. good luck

What is the area of a regular decagon if the length of each side is 20 units?

Answers

Answer:

Area ≈ 3077.68

Explanation:

See attached image for equation

Students' bicycles are parked in the bicycle rack. There are 8 red,
10 blue, 3 black, and 4 other colors. Select whether each statement
is true or false

Answers

Answer:

True.

False.

True.

It takes Bobby 12 hours longer to build a robot than it takes Alex. Together, they can build the Robot in 8 hours. How long does it take Bobby to build the robot by himself?

Answers

Answer:

24 hours

Step-by-step explanation:

The computation of the number of hours taken by Bobby to build the robot by himself is shown below:

Given that

Bobby could take 12 hours

Together they could build in 8 hours

So based on the above information

the number of hours taken by Bobby to build the robot by himself is

Let us assume the above line be x

So,

[tex]\frac{1}{8}-\frac{1}{12} = \frac{1}{x} \\\\\frac{6 - 4}{48} = \frac{1}{x} \\\\\frac{2}{48} = \frac{1}{x} \\\\x = \frac{48}{2}[/tex]

x = 24 hours

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