1answer.
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
astraxan [27]
1 year ago
14

The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative

5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.
Mathematics
1 answer:
vagabundo [1.1K]1 year ago
5 0

Considering the vertex of the parabola, the correct statement is given by:

The range of the function is all real numbers less than or equal to 9.

<h3>What is the vertex of a quadratic equation?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

(x_v, y_v)

In which:

  • x_v = -\frac{b}{2a}
  • y_v = -\frac{b^2 - 4ac}{4a}

Considering the coefficient a, we have that:

  • If a < 0, the vertex is a maximum point, which means that the range is all real numbers less than or equal to y_v.
  • If a > 0, the vertex is a minimum point, which means that the range is all real numbers greater than or equal to y_v.

In this problem, we have that:

  • a = -1 < 0, hence the vertex is a maximum point.
  • The vertex is (-2,9).

Hence the range is described by:

The range of the function is all real numbers less than or equal to 9.

More can be learned about the vertex of a parabola at brainly.com/question/24737967

#SPJ1

You might be interested in
On March 17th, Pinny Sporting Goods accepted a credit card purchase for $900. The credit card company charges a 2% service fee.
Vera_Pavlovna [14]

Answer:

A : debit to Service Charge Expense of $18.

Step-by-step explanation:

First, one should calculate the value, in dollars of the credit card service fee

Fee = 2% x $900 = $18.

Since this fee is classified as "money coming out" of the account, the entry to a record of this transaction should include a debit to Service Charge Expense of $18.

The correct answer is alternative A.

*The whole purchase amount ($900) should be credited and the service expense should be debited, unlike alternative C, which merges both entries into one.

6 0
2 years ago
In your indoor garden, 50% of seeds sprout. What is the experimental probability that at least one of your next three seeds spro
Alexxandr [17]

The answer should be 9

8 0
3 years ago
Read 2 more answers
Point D is between Points E and F. DE = 3x + 9, DF = 12x - 1<br> and EF = 38. Find DE and DF.
jarptica [38.1K]

Answer:

DE = 15

DF = 23

Step-by-step explanation:

E___D___F

EF = DE + DF

38 = (3x +9) + (12x-1)

38 = 15x + 8

15x = 38 - 8

15x = 30

x = 30/15

x = 2

DE = 3x + 9 = 3(2) + 9 = 6 + 9 = 15

DF = 12x - 1 = 12(2) - 1 = 24 - 1 = 23

I hope I helped you^_^

7 0
3 years ago
The scores awarded to 25 students for an assignment were as follows
Kisachek [45]

Answer:

<h2>Here</h2>

The numbers less than 50 (A) = 4

Total numbers (S) = 14

Probability students below 50 = 4÷14

Step-by-step explanation:

That is the correct answer of it.

3 0
2 years ago
how many liters of water should be evaporated from 60 liters of a 28% salt solution so that the remaining solution contains 32%
Nitella [24]
The answer is 7.5 liters that should of evaporated 
6 0
2 years ago
Other questions:
  • Find the slope glencoe algebra pg 175-176 textbook answers
    5·1 answer
  • 4314<br> as a decimal rounded to the nearest hundredth.
    13·1 answer
  • Car Stars Auto Rental charges $35 a day plus $0.25 per mile. Car Express Auto Rental charges $17 a day plus $0.40 per mile.
    14·2 answers
  • Using the drawing Below, find all the possible situations it could be describing. Mark all situations that apply to the inequali
    8·1 answer
  • I have just one more for ya. I hate algebra, but I am doing my best to learn just enough of it to pass. Thanks! Factor by groupi
    15·2 answers
  • Which statement is true?
    15·1 answer
  • Bradley owe's his parents $275. Every week, Bradley pays his parents back $55. Which function represents the
    7·1 answer
  • What number should go in the space?<br> Multiplying by 1.15 is the same as increasing by _____%.
    10·1 answer
  • Identify characteristics of the quadratic function and its graph ​
    12·1 answer
  • En una sociedad participan 5 socios, colocando todos capitales iguales, lo unico que el primer socio estuvo 1 año y medio, el se
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!