An icicle drips at a rate that can be represented by the function f(x) = −x2 + 9x − 18, where 0 ≤ x ≤ 10 and x is the number of hours after the sun has risen. When f(x) is a negative number, the icicle is not dripping. Determine the values when the icicle starts and stops dripping.

x = −3 and x = 6
x = 3 and x = −6
x = 3 and x = 6
x = −3 and x = −6

Answers

Answer 1

Answer: x=3 and x=6

Step-by-step explanation:

Put the first equation in math-way and find the roots/zeros

Answer 2

An icicle drips at a rate that can be represented by the function

[tex]f(x) = -x^2 + 9x - 18[/tex], where 0 ≤ x ≤ 10 and x is the number of hours after the sun has risen. So, The solution are x = 3 and x = 6.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

An icicle drips at a rate that can be represented by the function

[tex]f(x) = -x^2 + 9x - 18[/tex],

where 0 ≤ x ≤ 10 and x is the number of hours after the sun has risen.

First, we have to find its solution since it is a quadratic function;

[tex]f(x) = -x^2 + 9x - 18\\\\f(x) = -x^2 + 3x+ 6x - 18\\\\f(x) = x (3-x) - 6(3-x)\\\\f(x) = (3-x)(x-6)[/tex]

So, The solution are x = 3 and x = 6.

Learn more about quadratic equations;

brainly.com/question/13197897

#SPJ2


Related Questions

Which quadrilateral with side lengths shown will have a perimeter of 25 meters?
5 m, 8 m, 4 m, 7 m
7 m, 7 m, 4 m, 6 m
6 m, 6 m, 6 m, 6 m
8 m, 5 m, 6 m, 6 m
PLZ HELP I WILL BE SO GRATEFULLLLLLL

Answers

The last one is the only one that adds up to 25m. You find the perimeter by adding the side lengths. 8+5+6+6=25

Answer:

Step-by-step explanation:

8 m, 5 m, 6 m, 6 m

Which is equivalent to 8.03 X 10^-8

Answers

Answer:

0.00000008

Step-by-step explanation:

Final answer:

The given value is 8.03 X 10^-8, which is already in scientific notation. None of the provided alternatives exactly match the given value. The closest number to the given value is 9.71 X 10^-8.

Explanation:

The given value is 8.03 X 10^-8. This is already in scientific notation, where a number is represented as a decimal number between 1.0 and 10.0, multiplied by a power of 10. Therefore, it is equivalent to itself. If you would look for the equivalent among the options you have, none of them would match exactly the given value. The number that comes closest to your value from those given is 9.71 X 10^-8, but remember, these two are not exactly the same.

Learn more about Scientific Notation here:

https://brainly.com/question/16936662

#SPJ2

In a sample of 10 cabinets, the average height was found to be 37.3in. with a standard deviation of 3.



Give a point estimate for the population variance of the height of the cabinets. Round your answer to two decimal places, if necessary.

Answers

Answer:

[tex] \sigma^2 = 3^2 \frac{10-1}{10}= 8.10[/tex]

Step-by-step explanation:

For this case we have a sample of n =10 and we have the following statistics:

[tex]\bar X = 37.3 , s= 3[/tex]

And we want to estimate the population variance. We need to remember that the population variance is given by this formula:

[tex]\sigma^2 =\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}[/tex]

And the sample variance is given by:

[tex] s^2 =\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}[/tex]

And we can find a formula for the population variance in terms of the sample deviation like this:

[tex] \sigma^2 = s^2 \frac{n-1}{n}[/tex]

And replacing we got:

[tex] \sigma^2 = 3^2 \frac{10-1}{10}= 8.10[/tex]

Jake buys apples buy the pound and they are 24 pounds in one case. Jake wants to order 480 pounds of apples so how may cases does he have to order

Answers

Answer:

20

Step-by-step explanation:

24 pounds per case, and Jake wants 480 pounds.

480 ÷ 24 = 20 cases.

In the above triangle, which angle has the largest measure?

Answers

Answer:

Angle A

Step-by-step explanation:

Angle A is the opposite angle to the longest side of the triangle.

Because the angle is larger, the side opposite of it should be long enough to connect to the two other sides.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Which expression is equivalent to (2 + 3) + 5?

A) 2 + (3 + 5) B) 2(3 + 5). C) 2 + 15 D) 6 + 5
I NEED QUICK PLS THANK YOU FOR THE ANSWER IF YOU GIVE ME IT PLS

Answers

Answer:

The answer is A.

Step-by-step explanation:

This is Associative Law, a + (b+c) = (a+b) + c .

Will the area and perimeter be the same for a 12 by 12 square?

Pls explain why or why not

Answers

Answer:

No.

Step-by-step explanation:

For area you will multiply 12x12=144.

For the perimeter you will add 12+12=24

I hope this helps!

suppose the point (3,1) satisfies the function f(×). what point would satisfy g(x)=-2f(x/2)+1?​

Answers

Answer: (6, -1)

Step-by-step explanation:

Given that point (3,1) satisfies the function f(×).  From the equation

g(x)=-2f(x/2)+1

x/2 = 3

x = 6

Substitute the 1 for f(x/2)

g(x) = -2(1)+1

g(x) = -2 + 1 = -1

The point that would satisfy g(x)=-2f(x/2)+1 is (6, -1)

help please .. don’t understand

Answers

Answer:

sinx = p/h , cosx = b/h , tanx = p/b

you can use these relations

Step-by-step explanation:

p = perpendicular = side opposite to the angle

h  = hypotenuse = side opposite to the right angle

b= base

if no angles are given, p and b can be interchanged

tangent is the opposite side or angle divided by the adjacent side or angle.

#1 35/12
so tanX equals 35/12

Lilly constructed a box in the shape of a rectangular prism. The amount of space inside of the box is 180 cubic inches. What is the height of Lilly’s box?

Answers

Answer:
3 inches

Explanation:

10x 6 x H = 180
60 x h = 180 divide
/60 /60
the Height is 3 in

Answer:

B

Step-by-step explanation:

3 in.

Point E is located at coordinates (-7, -5) Point F is located at coordinates (-2, 7). What is the length of EF?
Please hurry

Answers

Answer:

12 units?

Step-by-step explanation:

The answer is 17 units

Special Segments, Please help!


x= 1, 3, 7

Answers

Answer:

x=3

Step-by-step explanation:

Secant-Secant Formula:  

(whole secant) x (external part) =         (whole secant) x (external part)

9*4 = 12*x

36 = 12x

Divide each side by 12

36/12 = 12x/12

3 =x

Given the equation of the parabola -36y = x^2 The focus of the parabola is

Answers

(0,-9) or -x2/36,,,, -x2 on top

If u could answer this u would be magical

Answers

Answer:

12r^2        +r         -7

Step-by-step explanation:

9r^2 +4r -7 +3r^2 -3r

Combine like terms

9r^2 +3r^2 +4r -3r -7

12r^2        +r         -7

What is an equation of the line that passes through the points (2,-6) and (1,-1)

Answers

Answer:

x=1

Step-by-step explanation:

Btw you should put answer choices :)

please help me understand and explain why it is that please​

Answers

Search it up on google and it should come out


If a = 2.4 units, b = 3 units, c = 6 units, and d 8 units, what is the volume of the two prisms?
A 106,50 cubic units

B. 88.56 cubic units

C, 144 cubic units

D.92.16 cubic units

Answers

Answer:

99.44

Step-by-step explanation:

(a*b*d) +(c*a*a)

29.04+70.4

Below is the graph of a trigonometric function. It intersects its midline at (-1/2pi,3.3), and it has a
maximum point at (-2pi,9.8).
What is the amplitude of the function? Please show me how to do it too so I can do the rest of the problems

Answers

Answer: amplitude = 6.5

Step-by-step explanation:

The amplitude of a function is the maximum displacement from the from a fixed point or from the origin.

From the graph, you take the initial position of the object from the broken red line which is equal to 3.3 at the Y axis.

The peak or the maximum value = 9.8

Amplitude = 9.8 - 3.3 = 6.5

The maximum displacement is at Y axis

James and two friends are going bowling. It costs them six dollars to rent the lane and
three dollars for each game they bowl. In interval form, how many games can they play
if they brought twenty five dollars?

(0,6]

(0,6)

(0,8]

(0,8)


Answers

Answer:

answer is c

Step-by-step explanation:

Answer:

(0,8}

Step-by-step explanation:

The length of a rectangle is (X + 8) and the width is (x - 3). Find the dimensions of the rectangle if the area is 42 square inches.

Answers

Answer:

Length = 14 inches

Width = 3 inches

Step-by-step explanation:

length * width = area

(x + 8 ) (x - 3) = 42

Use FOIL method

x*x  - x*3 + 8*x - 8*3 = 42

x² -3x + 8x - 24 = 42

x² + 5x - 24 - 42 = 0

x² + 5x - 66 = 0

Sum = 5

Product  = 66

Factors = 11 , (-6)

x²  + 5x -66 = 0

x² + 11x - 6x - 6*11 =0

x(x + 11) - 6(x + 11) = 0

(x + 11) (x -6) = 0

x + 11 is ignored because length and width will not have negative value.

x - 6 = 0

x = 6

Length = x + 8 = 6 + 8 = 14 inches

Width = x - 3 = 6 - 3 = 3 inches

P is the set of factors of 20

Answers

The elements of set P={1,2,4,5,10,20}

Hope it will help you...

Answer:

P = {1 , 2 , 5 , 10 , 20}.

Step-by-step explanation:

20÷2

=10

10÷2

=5

5÷5

=1

then the prime factors of 20 are 2 and 5

all factors of 20 :

1

and

2

and

5

and

5×2

=10

and

5×2^2

=20

to summarize the factors of 20 :

P = {1 , 2 , 5 , 10 , 20}.

________________________________________

:)

Mrs. Zimmerman’s students build letter of their names out of wood. Holly builds an H using rectangles with the dimensions shown.

Answers

Answer:

you have to show us a clip so that we can see & so that we can help

What is StartFraction negative 23 over 6 EndFraction minus StartFraction 7 over 3 EndFraction

Answers

Answer:

-37/6

Step-by-step explanation:

Answer:

A -37/6

Step-by-step explanation:

12 Explain A bag includes one number card each for the numbers 1-25. Each of
25 students randomly selects a number card from the bag. Carrie says that if the number
is the input and the student is the output, the relationship is a function. Mario says that if
the student is the input and the number is the output, the relationship is a function. Who
is correct? Why?​

Answers

Answer:

Let us say the domain in the first case, has the numbers. And the co-domain has the students, .

Now for a relation to be a function, the input should have exactly one output, which is true in this case because each number is associated (picked up by) with only one student.

The second condition is that no element in the domain should be left without an output. This is taken care by the equal number of students and the cards. 25 cards and 25 students. And they pick exactly one card. So all the cards get picked.

Note that this function is one-one and onto in the sense that each input has different outputs and no element in the co domain is left without an image in the domain. Since this is an one-one onto function inverse should exist. If the inverse exists, then the domain and co domain can be interchanged. i.e., Students become the domain and the cards co-domain, exactly like Mario claimed. So, both are correct!

Simplify. Express your answer as a single term using exponents. 6689x 6689

Answers

Answer:

(6689)^2

Step-by-step explanation:

6689x 6689

There are 2 terms multiplied together and they are identical

a*a = a^2

6689x 6689 = (6689)^2

how many different outcomes are possible from rolling a six sided cube four times

Answers

Answer:

1296 different outcomes

Step-by-step explanation:

Each cube has 6 possible values (from 1 to 6), and for each additional cube rolled, we have 6 more possible values, and the final number of different outcomes is the product of all the number of possible values for each cube.

So, if we roll the cube four times, the total number of different outcomes is:

6 * 6 * 6 * 6 = 1296

We have 1296 different outcomes from rolling the six sided cube four times.

________________________________. Therefore, ABCD is a parallelogram because both pairs of opposite sides are parallel.

lengths of consecutive sides are not equal
slopes of opposite sides are equal
lengths of opposite sides are equal
slopes of consecutive sides are not equal

Answers

clengths of opposite sides are equal

Answer:

the third option, lengths of opposite sides are equal.

Step-by-step explanation:

for edg users I just took the test.

please help For each set of distances below, decide if the three points are collinear or form a triangle, or are impossible.

2. AB = 12, BC = 5, AC = 13 *

20 points

impossible

form triangle

collinear

3. AB = 11, BC = 3, AC = 7 *

20 points

impossible

form triangle

collinear

4. AB = 5, BC = 6, AC = 2 *

20 points

impossible

form triangle

collinear

5. AB = 8, BC = 1, AC = 9 *

20 points

impossible

form triangle

collinear

Answers

form triangle

In order for the points to form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 5 + 6 = 11 > 2, 5 + 2 = 7 > 6, and 6 + 2 = 8 > 5. Therefore, the points form a triangle.

What is the length of a diagonal of a cube with a side length of 3 cm?18 cm
27 cm
33 cm
138 cm

Answers

I’m not really sure of my answer

Lynne read 2.5 chapters of her book on Tuesday, 4.25 chapters on Wednesday, and 5 chapters on Thursday. How many chapters did she read in total during those three days

Answers

Answer:

The answer is 11.75

Step-by-step explanation:

All youre gonna do is add up all of the chapters she read which would end up giving you 11.75 therefore that is the answer:)

Answer:

11.75

Step-by-step explanation:

If you add the whole numbers first it's 11 and then you add the decimals .5 is also .50. so .50+.25=.75

Other Questions
Why do you think the Spanish conquered the Aztec and the Inca instead of trading with them for gold and other resources? Write a paragraph that explains your reasons. what is district 11 like?(in the hunger games) Apply the distributive property to factor out the greatest common factor.32+44= What was black Tom island A property could be sold today for $2 million. It has a loan balance of $1 million and, if sold, the investor would incur a capital gains tax of $250,000.The investor has determined that if it were sold today, she would earn an IRR of 15% on equity for the past 5 years.If not sold, the property is expected to produce an after-tax cash flow of $50,000 over the next year.At the end of the year, the property value is expected to increase to $2.1 million, the loan balance will decrease to $900,000, and the amount of capital gains tax due is expected to increase to $255,000.a. What is the marginal rate of return for keeping the property one additional year?b. What is the decision to make by the investor? PLEASE ANSWER ASAP I WILL GIVE YOU BRAINLIEST I PROMISE (10POINTS) health science question down below WILL GIVE BRAINLIEST AND 50 PTS! PLZZ HELP!! **I will be reporting unnecessary answers How did people react to the news that Lincoln wasshot?They seemed worried about him.They seemed uninterested in the news.O They were afraid of being shot themselves.DONE WILL GIVE BRAINLIESTMartin Luther King, Jr. once said, "The arc of the moral universe is long, but it bends towards justice." What did he mean? aHistorically, most people have acted ethically and fairly. bThe fight to end discrimination is a cyclical process. cOnly if everyone agrees can equal rights be legally protected. dRight will prevail over wrong eventually Someone pls help me How are your rights protected after a trial when it pertains to sentencing/punishment Please help I need all Summary of the red riding hood and the wolf by roald dahl Please provide a legitimate answer and provide an explanation for the question below.Why would imbalanced hormone levels make it difficult for a woman to become pregnant? From act ll, scene iii of Romeo and JulietWhich words best describe the mood of this conversation?Check all that apply.optimisticfrighteningexcitedcautiousCmysteriousmournful Dicks Sporting Goods included the following information in its year-end 2015 10-K Sales $7,270,965 PPE, gross 2,665,314 Land Construction in progress 124,400 Accumulated depreciation 1,317,429 PPE, net, at year-end 2014 1,203,382 Depreciation expense 193,594 a. Compute PPE turnover. Round answer to one decimal place. Answer 0 b. Compute the average useful life. Round answer to one decimal place. Answer 0 years c. Compute the percentage used up of the PPE. Round answer to one decimal place (ex: 0.2345 Supermam's only weakness is kryptonite,which causes him to lose all of is powers. Is that an internal problem or an external problem? How does a setting impact a story? Which statements are true about the flow of blood in the body? Check all that apply. Steam Workshop Downloader