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
Tju [1.3M]
3 years ago
8

What type of function is this ? 15 points

Mathematics
1 answer:
Bezzdna [24]3 years ago
8 0

Answer:

  1. quadratic polynomial
  2. minimum at (1, -9)
  3. decreasing on (-1, 1)

Step-by-step explanation:

1. First differences in the y-values are ...

... -5-0 = -5; -8-(-5) = -3; -9-(-8) = -1; -8-(-9) = 1; -5-(-8) = 3; 0-(-5) = 5

Second differences are ...

... -3-(-5) = 2; -1-(-3) = 2; 1-(-1) = 2; 3-1 = 2; 5-3 = 2

These 2nd differences are constant, so the points can be described by a 2nd-degree polynomial.

2. Values on the graph range from 0 to a low of -9 and back up to 0. There is a minimum at (1, -9).

3. The value at x=-1 is -5; at x=1, it is -9, which is less than -5. The function is decreasing on the interval -1 to 1.

You might be interested in
Find the vertex of the given function.<br> f(x) = |x+1| -7
kenny6666 [7]

Answer:

(-1, -7)

Step-by-step explanation:

Used desmos, also, in these situations I believe you can take the number inside the brackets and make it negative and keep the number outside the same to find the vertex.

7 0
3 years ago
Read 2 more answers
Representatives from the student councils at three area high schools are traveling to the national convention in New York. North
ivann1987 [24]

nshs = sshs+5

wshs = nshh + 6 = sshs + 11

So nshs + wshs + sshs = 3*sshs + 16

So sshs = 10, nshs = 15 and wshs = 21

Answer 15.


8 0
3 years ago
Read 2 more answers
If you multiply a number by 3 and then subtract 5, you will get 40 what is the number
Paul [167]

Answer:

Number  = 15.

Step-by-step explanation:

Given : If you multiply a number by 3 and then subtract 5, you will get 40.

To find : what is the number.

Solution : We have given if you multiply a number by 3 and then subtract 5, you will get 40.

According to question :

Let the number =  x

Multiply is with 3 = 3x

Subtract 5 from it we get 40 .

3x -5 = 40

On adding both sides by 5

3x = 45 .

On dividing both sides by 3

x =  15.

Therefore, Number  = 15.

5 0
2 years ago
Read 2 more answers
These are the values in Greta’s data set. (2, 43), (3, 46), (4,61), (6, 70), (7,74) Greta determined the equation of a linear re
Dmitry_Shevchenko [17]
Okay, i'm pretty sure that if you make a residual plot its a plot using all those points labeled. So plot those points on a graph, if you are using a K12 diagram use the 1-10 as 100-1000 (basically add a zero to every number) 

4 0
3 years ago
Read 2 more answers
In isosceles $\triangle abc$ (with $ab = ac$), point $d$ lies on $ab$ such that $cd = cb$. if $\angle adc = 115^\circ$, what is
Nuetrik [128]

1. Angles ADC and CDB are supplementary, thus

m∠ADC+m∠CDB=180°.

Since m∠ADC=115°, you have that m∠CDB=180°-115°=65°.

2. Triangle BCD is isosceles triangle, because it has two congruent sides CB and CD. The base of this triangle is segment BD. Angles that are adjacent to the base of isosceles triangle are congruent, then

m∠CDB=m∠CBD=65°.

The sum of the measures of interior angles of triangle is 180°, therefore,

m∠CDB+m∠CBD+m∠BCD=180° and

m∠BCD=180°-65°-65°=50°.

3. Triangle ABC is isosceles, with base BC. Then

m∠ABC=m∠ACB.

From the previous you have that m∠ABC=65° (angle ABC is exactly angle CBD). So

m∠ACB=65°.

4. Angles BCD and DCA together form angle ACB. This gives you

m∠ACB=m∠ACD+m∠BCD,

m∠ACD=65°-50°=15°.

Answer: 15°.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which is another way to name angle ust
    13·2 answers
  • Solve the quadratic equation by completing the square.
    13·1 answer
  • Car A's fuel efficiency is 34 miles per gallon of gasoline, and car B's fuel efficiency is 23 miles per gallon of gasoline. At t
    13·1 answer
  • 24=2x^2+6x+4 <br> Factor the polynomial completely.
    8·1 answer
  • The access code for a garage door consists of three digits. Each digit can be any number from 1 through 5​, and each digit can b
    5·1 answer
  • Using coupons, you spend $135 grocery shopping. this is 75% of the total retail price of the groceries. how much would you have
    13·1 answer
  • Please Help me. I get so confused doing these questions.
    7·1 answer
  • Which of the following graphs could represent a quartic function?
    12·2 answers
  • 2
    9·1 answer
  • (It is reborn) I'm totally chill 'bout this question but please help <br> From- <br> xXIndieKidXx
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!