A biologist investigates the growth of a special flower. It is estimated that
the height (in cm) of the flower is given by f(t) = at² + bt + C, where t is
the number of days passed since the start of the investigation. It is given
that the height of the flower first increases and then decreases.
What is the domain of f(t)?​

Answers

Answer 1

Answer:

The domain of this function is:

Domain f(t): t ≥ 0

or

Domain f(t): {x ∈ R | t ≥ 0}

Step-by-step explanation:

Given the function of the height (in cm) of the flower

f(t) = at² + bt + C

Here,

t is  the number of days passed since the start of the investigation.f(t) represents the height (in cm)

Given that height of the flower first increases and then decreases.

The current function represents the quadratic function because it is of the form. Hence, the graph would be a curve.

f(x) = ax²+ bx + c

where a, b and c are the real numbers and a≠0

Normally the domain of quadratic is the set of all real numbers, but here in this case x-values consist of the time in terms of the number of days.

As the time in terms of a number of days can not be negative. Therefore, we conclude that:

The domain of this function is:

Domain f(t): t ≥ 0

or

Domain f(t): {x ∈ R | t ≥ 0}


Related Questions

Suppose there is a 1.8 Farenheit drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 62.4 farenheit ​, what will be the temperature when the plane reaches an altitude of 8,000 ft. ​?

Answers

Answer:

48° F

Step-by-step explanation:

Let the altitude on the ground be 0 ft

Temperature at 8000 ft is:

62.4 - 1.8°*(8000 - 0)/1000 = 62.4 - 1.8*8 =62.4 - 14.4 =48° F

Answer:

anyone seen joel

Step-by-step explanation:

Express 46,100,000 in scientific notation.

Answers

Answer:

4.61*10^7

Step-by-step explanation:

There are 7 places we need to show.

Why is 46,100,000 written as 4.61 x 107 in scientific notation.

Two savings accounts earn simple interest. Account A has a beginning balance of $500 and grows by $25 per year. Account B has a beginning balance of $750 and grows by $15 per year.

Answers

Answer:

After 25 years both the accounts will have the same balance.

Step-by-step explanation:

Let t years, both the account will have the same balance.

As account A has a beginning balance of $500 and grows by $25 per year.

So, the total balance of account A after t years = 500+25t

Similarly, account B has a beginning balance of $750 and grows by $15 per year.

So, the total balance of account A after t years = 750+15t

As both the accounts has the same balance, so

500+25t= 750+15t

25t-15t=750-500

10t=250

t=250/10

t=25 years

Hence, after 25 years both the accounts will have the same balance.

Use the graph of f to estimate the local maximum and local minimum. (5 points)
A piecewise graph is shown with a line increasing to 0,-2 terminating at that point and a curve starting at 0,0 and intercepting the x axis at 0, pi, and 2pi.


a) Local maximum: (0,-2); local minimum: (0,0) and (π,0)
b) Local maximum: pi ; local minimum: three pi over two, negative 1
c) Local maximum: (0,0) and pi over two, 1 ; local minimum: (0,0) and three pi over two, negative1
d) Local maximum: (0,0) and pi over two,1 ; local minimum: three pi over two, negative1

Answers

Answer:

b) Local maximum: pi ; local minimum: three pi over two, negative 1

[tex]local \: maximum = ( \frac{\pi}{2} \: \: \: 1) \\ local \: minimum = ( \frac{3\pi}{2} \: \: \: - 1)[/tex]

Pls tell me the answer,,,

Answers

Answer:

I think 3

1

hope it helps.

Answer:

the B Number is the correct answer because 0 is in the gap in 3

2b + 9 when b = 3 I Really need help in math

Answers

Step-by-step explanation:

=2b+9

=2×3+9

=6+9

=15

hope it helps.

Simplify 7x^2+10x^2+5y^3


A.) 22x^2 y^3

B.) 17x^2 + 5y^3

C.) 22x^4+y^3

D.) 17x^4 y^3+5

Answers

7x^2+10x^2= 17x^2
Answer. 17x^2+5y^3
Answer: B.) 17x^2+ 5y^3

Step by step explanation:
7x^2+10x^2+5y^3 Collect like terms by adding their coefficients

(7+10)x^2+5y^3 Add the numbers

17x^2+5y^3

4.7x 10^-1 as an ordinary number

Answers

0•47 as an ordinary number

Jordan bought 9 pounds of fruit. He paid $2.39 a pound for 5 pounds. He paid $1.99 a pound for the rest. How much did Jordan spend on fruit?

Answers

15.73

2.39 x 5 = 11.75
9-5=4
4 x 1.99 = 3.98
11.75+3.98 = 15.73 dollars

please help will give brainliest!

Answers

Answer:

180= 58 +58 +x

x= 180 -116

64

All angles in a triangle adds up to 180 degrees I just don’t know how to find the second angle

Find the slope of the line.

Answers

Answer:

-1/2

Step-by-step explanation:

rise/run

-1/2

hope this helps <3

So for every 1 unit of y it goes 2 units of x

Rise over run would be 1/2 but it’s a descending line so it’s -1/2

did you hear about the kidnapping?



















































he woke up

Answers

Answer:

69,420

Step-by-step explanation:

._. you stole the egg from the chicken didn't you

he woke up bc you threw the egg at his face

kid + napping... ok i get it now im slow

what amount of heat is required to raise the temperature of 5 kg of water through 20° c?

Answers

Answer:

420,000 J/Kg

Step-by-step explanation:

energy= temperature change* mass* specific heat capacity

energy= 20*5*4200

energy= 420,000

Quadrilateral ABCD is transformed according to the rule (x,y)-> (X + 4, y + 6) to create A'B'C'D'.
A The lengths of ABCD are twice the corresponding side lengths of A'B'C'D'
B The angle measures of ABCD are equal to corresponding angle measures of A'B'C'D'
C The side lengths of A'B'C'D' are 4 units longer than ABCD
D The angle measures of A'B'C'D' are greater than the corresponding angle measures of ABCD

Answers

B is the answer for this question

If y < -2x + 10 which of the following are viable solutions?

Answers

Answer:

y < 12x

....................

The shaded region in the graph of y < -2x + 10 represents the viable solution ordered pairs.

What is a expression? What is a mathematical equation? What is inequality?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. An inequality is used to compare two or more mathematical expressions.

We have the following inequality -

y < -2x + 10

We can write -

y < -2x + 10

Refer to the graph of the inequality attached. The shaded region represents the viable solution ordered pairs.

Therefore, the shaded region in the graph of y < -2x + 10 represents the viable solution ordered pairs.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

The coordinate plane shows Line A B.
What is the length of the line segment?

Answers

Answer:

13

Step-by-step explanation:

The length of the line segment is 13 unit.

What is a line segment?

A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).

If the ray lies onto the considered line segment(overlapping), then it can be said belonging to the considered line segment.

(line segment has 2 fixed ends, whereas a ray has one end only, other end is not fixed)

We are given that coordinate plane shows Line A B.

We need to find the length of the line segment.

We can see that the graph has 1 unit equal to 1 cm.

Then the coordinate for Point B is (5, 13)

The length of the line segment is 13 unit.

Learn more about line segment here:

https://brainly.com/question/14186383

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someone can answer this?
x + y + 2 and x - y - 1​

Answers

2x-2y+1

Step-by-step explanation:

you will add ir subtarct like terms only

Answer:

2x - 6y

Step-by-step explanation:

u have to divide

During a Middle School basketball season, Antonio made 17 of his free throws out of 20. What percent of his free throws did he make?

Answers

I see a fraction. Don't you. Here it is 17/20. Now, let's divide 17 by 20 to get a decimal number, which is 0.85. Next, we multiply 0.85 by 100 to get the percent because that is what the question desires for us to express our answer. As a result, we get 85%, and Antonio made 85% of his free throws. By the way, I hope my response helps you.  

Step-by-step explanation:

1 way is to do 17/ 20 using long division...

    0. 85

20⟌1700    ( I tried my best)

   - 160

      100

So the answer would be 85%

Another way to do it is by bringing the denominator to 100

Since 20 is 1/5 of 100, you would have to multiply the numerator and denominator by 5

17/ 20 = 17*5/ 20*5 = 85/ 100

And you get 85%

Hope this helps!!!

Nicholas wants to buy a new computer that is on sale for $899. His parents will loan him the money if he repays them. He has $225 in his savings account and plans to work as a camp counselor to earn money during the summer. If he earns $35 per day, how many days will Nicholas have to work in order to fully repay his parents?

Answers

Answer:

20 days

Step-by-step explanation:

899- 225= 674

674÷ 35= 19.257....

which you would round it up to 20 because he would have to work the extra day because you need more than less.

20 days because i know the answer i had this problem before and it was really easy

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 9N acts on a certain object, the acceleration of the object is 3 m/s2 . If the force is changed to 6N , what will be the acceleration of the object?

Answers

Answer:

The acceleration is 2m/s^2

Step-by-step explanation:

Given

Variation: Direction Variation

Represent Force with F and Acceleration with A

When

[tex]F= 9N; A=3m/s^2[/tex]

Required

Find A when F =6N

The variation can be represented as:

[tex]F \alpha A[/tex]

Convert to an equation

[tex]F = kA[/tex]

Where

[tex]k = variation\ constant[/tex]

When

[tex]F= 9N; A=3m/s^2[/tex]

We have:

[tex]9N = k * 3m/s^2[/tex]

Solve or k

[tex]k = \frac{9N}{3m/s^2}[/tex]

[tex]k = 3kg[/tex]

When

[tex]F = 6N[/tex]

We have:

[tex]F = kA[/tex]

Substitute 6N for F and 3kg for k

[tex]6N = 3kg * A[/tex]

Solve for A

[tex]A = \frac{6N}{3kg}[/tex]

[tex]A = 2m/s^2[/tex]

Which of the points shown below are on the line given by the equation Y = X +3? Check all that apply. A). Point A : (-1, 2) B). Point B : (-1, -2) C). Point C : (2, 5) D). Point D : (-3, 0) Please No jokes I really need help :))

Answers

Answer:

Point APoint CPoint D

Step-by-step explanation:

The points are in the format (x , y) so given x which is the first figure, you can find y by following the formula.

Y in the point needs to satisfy the criterion of X + 3.

Point A

x = -1

y = x + 3

= -1 + 3

y = 2

Point A satisfies the equation as y from the equation is y in the point given.

Point B

x = -1

y = x + 3

= -1 + 3

y = 2

Point B does not satisfy the equation and so is not on the line.

Point C

x = 2

y = 2 + 3

y = 5

Point C satisfies the equation as y from the equation is y in the point given.

Point D

x = -3

y = -3 + 3

y = 0

Point D satisfies the equation as y from the equation is y in the point given.

this was pretty simple it's kind of like the other one I in the past

Answers

Answer:

72 sec im srry if its wrong i cant see it good

Step-by-step explanation:

The side lengths of triangle ABC are 3, 4, and 5. Which set of ordered pairs form a triangle that is congruent to
triangle ABC?
(-3,1),(-3,5),(0,5)
(1,-2),(1,3),(4,3)
(6,-3),(1,-3),(6,1)
(1,3),(1,4),(5,1)

Answers

Answer:

Im pretty sure the answer is C because there is a side that is 3, a side that is 4, and a side that is 5

Step-by-step explanation:

Answer:

The answer is A or (-3,1),(-3,5),(0,5)

Step-by-step explanation:

I guessed on E d g e (2021) and got it right :)

Can someone help me with B?

Answers

its kinda hard but when I closed your screen I didn't see any questionsir

4.b) A strawberry order costs $241.50. How many pounds did the grocer order?​

Answers

You need more info :/

Answer:

175

Step-by-step explanation:

because you have 1.38 per pound and 241.50 divded by that = 175

What is X?[tex]\frac{x-2}{3} = \frac{-7}{18}[/tex]

Answers

Answer:

x = 5/6

Step-by-step explanation:

Cross multiply.

18(x - 2) = 3(-7)

Divide both sides by 3.

6(x - 2) = -7

Distribute the 6.

6x - 12 = -7

Add 12 to both sides.

6x = 5

Divide both sides by 6.

x = 5/6

Answer: x = 5/6

Answer :

[tex]\dashrightarrow\:\:\sf \dfrac{x - 2}{3} = \dfrac{-7}{18} \\ \\ \\ [/tex]

[tex]\dashrightarrow\:\:\sf (x - 2) \times 18= -7 \times 3 \\ \\ \\ [/tex]

[tex]\dashrightarrow\:\:\sf 18x - 36 = -21 \\ \\ \\ [/tex]

[tex]\dashrightarrow\:\:\sf 18x = -21 + 36\\ \\ \\ [/tex]

[tex]\dashrightarrow\:\:\sf 18x = 15\\ \\ \\ [/tex]

[tex]\dashrightarrow\:\:\sf x = \dfrac{15}{18} \\ \\ \\ [/tex]

[tex]\dashrightarrow\:\:\sf x = \dfrac{5}{6} \\ \\ \\ [/tex]

[tex]\dashrightarrow\:\: \underline{ \boxed{\textsf{\textbf{x $\approx$ 0.84}}}}\\ \\ \\ [/tex]

Giving brainliest!!!!!!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

The correct answer is D because 7 plus 3 is 10, not 11

If one angel of a triangle is acute, and a second angle of the triangle is obtuse, then the third angle of the triangle must be

Answers

Answer:

obtuse

Step-by-step explanation:

If f(x)=3x−2 and g(x)=x2−5, what is g(f(2))?

Answers

Answer:

g(f(2)) = 11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 2

g(x) = x² - 5

Step 2: Find g(f(2))

f(2)

Substitute in x:                    f(2) = 3(2) - 2Multiply:                               f(2) = 6 - 2Subtract:                              f(2) = 4

g(f(2))

Substitute in x:                    g(4) = 4² - 5Exponents:                          g(4) = 16 - 5Subtract:                              g(4) = 11

Answer:

Step-by-step explanation:

g(f(2))=11

(IMAGE) PLEASE HELPPPPPP

Answers

both of the trans word.
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