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
V125BC [204]
2 years ago
10

On a coordinate plane, a parabola opens down. It has an x-intercept at (negative 5, 0), a vertex at (negative 1, 16), a y-interc

ept at (0, 15), and an x-intercept at (3, 0).
The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function?

The domain is all real numbers. The range is {y|y < 16}.
The domain is all real numbers. The range is {y|y ≤ 16}.
The domain is {x|–5 < x < 3}. The range is {y|y < 16}.
The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}
Mathematics
1 answer:
weeeeeb [17]2 years ago
5 0

Answer:

Step-by-step explanation:

Domain is all the x's and range is all the y's. There's no reason why you couldn't pop any x into the given equation and calculate it and get a number out. So literally ANY x can be used and found on this graph. So the domain is all real numbers, one of the first two answers is going to be the right one. Now, the range is all the y's on the graph. The problem says that the parabola opens down, which means it has a highest point. There is no graph above that point. That's the point (-1, 16). So 16 is the highest y-value you can find on the graph. All the rest of the y's are smaller. The range is all the y's such that the y's are 16 and smaller...in math that's written {y | y <= 16} So the second answer is the right one.

You might be interested in
Pablo wants to spend $100 on clothing and he wants to purchase 6 additional clothing pieces for his wardrobe. Each pair of pants
andrew11 [14]

Answer:

A. x+y=6...(1)

20x+15y=100...(2)

B. Yes, Pablo can buy 2 pair of pants and 4 shirts.

Step-by-step explanation:

A. Let x be the number of pairs of pants and y be the number of shirts.

We have been given that Pablo wants to purchase 6 additional clothing pieces for his wardrobe. We can represent this information as:

x+y=6...(1)

We are also told that each pair of pants costs $20 and each shirt costs $15. So the cost of x pairs of pants will be 20x and cost of y shirts will be 15y.  

As Pablo wants to spend $100 on clothing, so we can represent this information as:

20x+15y=100...(2)

Therefore, the system of equation representing the given situation will be:

x+y=6...(1)

20x+15y=100...(2)

B. To find if Pablo can buy 2 pair of pants and 4 shirts we will substitute x=2 and y=4 in our both equations.

2+4=6

6=6

20*2+15*4=100

40+60=100

100=100

We can see that x=2 and y=4 satisfies our both equation, therefore, Pablo can buy 2 pair of pants and 4 shirts.

4 0
3 years ago
Laticia randomly selected 25% of the seventh grade students in her school and asked them their favorite season. Of the students
Marysya12 [62]
I would say 75 or 150
 Do u know how many students are in her school?
4 0
3 years ago
Samuel wants to use his earnings from Monday and Tuesday to buy some batteries
IrinaK [193]

Answer: There are 2 batteries which he can buy with his earnings .

Step-by-step explanation:

Since we have given that

Selling price of cans at the recycling center = $0.40 per pound

Number of pounds of cans he sold on Monday = 16.2

Number of pounds of cans he sold on Tuesday = 11.8

Total earning of Samuel is given by

(16.2+11.8)\times 0.40=\$11.2

Now, cost of battery =$5.60

So, number of batteries he can buy is given by

\frac{\text{ Total earnings}}{\text{ Cost of each battery}}\\\\=\frac{11.2}{5.6}\\\\=2

So, there are 2 batteries which he can buy with his earnings .

4 0
2 years ago
Read 2 more answers
3.3(n-8)-n=1.2<br><br> Simplify! ::)
nydimaria [60]

Answer:

n=12

Step-by-step explanation:

3.3(n-8)-n=1.2

Distribute

3.3n -26.4 -n = 1.2

Combine like terms

2.3n -26.4 = 1.2

Add 26.4 to each side

2.3n -26.4+26.4 = 1.2 +26.4

2.3n = 27.6

Divide each side by 2.3

2.3n/2.3 = 27.6/2.3

n=12

8 0
3 years ago
HEEELP ME GEOMETRY HW #29 AND #30 I'VE BEEN STUCK ON IT FOR HOURS!!!!!
natulia [17]
On #29 x = 12 and <apb = 90° and <dcb = 40° and on #30 all I dont even understand, sorry
5 0
3 years ago
Other questions:
  • Please help I really need it
    12·1 answer
  • I am less than 90 but more than 20.I round to 60 and the sum of my digits is 9.Who am I ?
    11·2 answers
  • If the original quantity is 8 and the new quantity is 6, what is the percent decrease?
    12·1 answer
  • Write the product in its simplest form -7c×6c^8​
    7·1 answer
  • Hi i need a explanation or steps for thise problom thanks
    8·1 answer
  • How many weeks will it take to save 475?
    9·1 answer
  • 10/? = 5/7<br> find the number that makes these fractions equal
    7·2 answers
  • If an average grade of an English class rise from 70 to 85 what is the approximate percent increase
    5·1 answer
  • Please help faaast
    15·1 answer
  • I want to know the exact height of the big column
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!