answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DochEvi
15 days ago
12

The function f(x)=-x^2-2x+15 is shown on the graph. What are the domain and range of the function?

Mathematics
2 answers:
tester [12.3K]15 days ago
9 0

Réponse:

Le domaine est l'ensemble de tous les nombres réels

La plage est y\leq 16

Explication étape par étape:

f(x)=-x^2-2x+15

Le domaine est l'ensemble des valeurs x pour lesquelles la fonction est définie

Dans f(x), nous avons des valeurs y pour toutes les valeurs x, donc il n'y a pas de restriction pour x

Ainsi, le domaine est l'ensemble de tous les nombres réels

La plage représente l'ensemble de toutes les valeurs y pour lesquelles la fonction est définie

D'après le graphe de la fonction donnée f(x), le point maximum est le sommet à (-1,16)

La plage de la fonction est y<=16

La plage est y\leq 16

PIT_PIT [12.4K]15 days ago
3 0

Réponse:

Le domaine est l'ensemble des nombres réels

y ≤ 16

Explication étape par étape:

Le domaine est l'ensemble des valeurs x que le graphe couvre. Il n'y a aucune restriction sur les valeurs x. Le domaine est l'ensemble des nombres réels.

La plage est l'ensemble des valeurs y que le graphe couvre. Les valeurs y atteignent au maximum 16 au sommet de la parabole. Ainsi, la plage est y ≤ 16.

You might be interested in
Millie has a box of 1 hundred cubes. She also has a bag of 70 cubes. How many trains of 10 cubes can she make?
Zina [12379]
100 plus 70 equals 170

170 divided by 10 equals 17

That makes 17 trains of 10 cubes
5 0
2 months ago
Read 2 more answers
the moon is about 240,000 miles from earth .What is the distance written as a whole number multiplied by a power of ten?
PIT_PIT [12445]
The distance to the moon is approximately 240,000 miles. This can be expressed as 2.4 multiplied by 10 raised to the power of 5.
8 0
1 month ago
Read 2 more answers
The mass of a colony of bacteria, in grams, is modeled by the function P given by P(t)=2+5tan^−1.(t/2), where t is measured in d
AnnZ [12381]

Answer:

1.21 g/day

Step-by-step explanation:

We start with the fact that

The mass of the bacterial colony (in grams) is described by

P(t)=2+5tan^{-1}(\frac{t}{2})

Where t=Time(in days)

Next, we differentiate with respect to t

P'(t)=5(\frac{1}{1+\frac{t^2}{4}}\times \frac{1}{2})

Using the formula \frac{d(tan^{-1}(x)}{dx}=\frac{1}{1+x^2}

P'(t)=\frac{5}{2}(\frac{4}{4+t^2})

P'(t)=\frac{10}{4+t^2}

We know that P(t)=6

Now, substitute this value

6=2+5tan^{-1}(\frac{t}{2})

5tan^{-1}(\frac{t}{2})=6-2=4

tan^}{-1}(\frac{t}{2})=\frac{4}{5}

\frac{t}{2}=tan(\frac{4}{5})

t=2tan(\frac{4}{5})

Insert the given value of t

P'(2tan\frac{4}{5})=\frac{10}{4+4tan^2(\frac{4}{5})}

P'(2tan\frac{4}{5})=\frac{10}{4}\times \frac{1}{1+tan^2(\frac{4}{5})}

We understand that 1+tan^2\theta=sec^2\theta

Applying the formula

P'(2tan(\frac{4}{5})=\frac{5}{2}\times \frac{1}{sec^2(\frac{4}{5})}

P'(2tan\frac{4}{5})=\frac{5}{2}\times cos^2(\frac{4}{5})

By employing cos^2x=\frac{1}{sec^2x}

P'(2tan\frac{4}{5})=\frac{5}{2}\times (0.696)^2=1.21g/day

Consequently, the instantaneous rate at which the mass of the colony changes is=1.21g/day

7 0
1 month ago
Read 2 more answers
Carly has 2 more nickels than dimes in her pocket. She has 40 cents. How many nickels does Carly have How many dimes does Carly
Inessa [12570]
Carly possesses 2 dimes and 4 nickels.
Since a dime is worth 10 cents, with 1 dime and 3 nickels you would have 20 cents; with 2 dimes and 4 nickels, the total would be 40 cents. It is required to have two additional nickels compared to the number of dimes.
8 0
1 month ago
Read 2 more answers
Kay buys 12 pounds of apples. Each pound costs $3.if she gives the cashier two $20 bills, how much change should she receive.
Svet_ta [12734]

12 pounds multiplied by $3 equals $36

$40 minus $36 equals $4

7 0
1 month ago
Other questions:
  • Which function is the inverse of f Superscript negative 1 Baseline (x) = negative one-fifth x minus four-fifths? f Superscript n
    10·2 answers
  • Collete mapped her vegetable garden on the graph below. Each unit represents 1 foot.
    9·2 answers
  • Letters a, b, c, and d are angles measures. Which equation is enough information to prove that lines m and n are parallel lines
    15·1 answer
  • The steps to derive the quadratic formula are shown below: Step 1 ax2 + bx + c = 0 Step 2 ax2 + bx = − c Step 3 x2 + b over a ti
    9·1 answer
  • Explain how you know the values of the digits in the number 58
    9·1 answer
  • Alejandro made an error in the steps below when determining the equation of the line that is perpendicular to the line 4x – 3y =
    10·2 answers
  • "The difference between five-halves of a number<br> and 17 is 48."
    9·1 answer
  • Jenna goes fishing every Saturday morning. She is only allowed to catch a maximum of 222 fish each trip. The table below display
    6·1 answer
  • Assuming two hikers begin at a trail start, which scenarios must be true based on the table? Check all that apply.
    5·2 answers
  • The points (–2, 4) and (–2, –2) are vertices of a heptagon. Explain how to find the length of the segment formed by these endpoi
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!