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
enot [183]
2 years ago
8

before tomorrow can I have a quick answer and maybe an explanation on how to answer these kinds of questions overall? need some

help asap

Mathematics
1 answer:
MA_775_DIABLO [31]2 years ago
3 0

Answer:

  a) maximum; the parabola opens downward

  b) positive; it must lie above the x-axis

  c) x = 1.5

Step-by-step explanation:

The x-intercepts of a function are the points where the graph of the function crosses the x-axis. The y-values there are zero.

The "differences" of a function are related to the average slope between adjacent points. Second differences are related to the rate of change of the slope of the function. When <em>second differences are negative</em>, as here, the slope of the quadratic function is decreasing, becoming more negative. We say the <em>curvature</em> of the function is <em>negatve</em>, and that it <em>opens downward</em>.

__

<h3>a, b.</h3>

If the graph of the parabola opens downward, and it crosses the x-axis, it must have a <em>maximum</em> that is a <em>positive value of y</em>.

__

<h3>c.</h3>

The graph of a parabola is symmetrical about its vertex. That means points on the same horizontal line are the same distance from the line of symmetry, which must go through the vertex. The x-coordinate of the vertex will be the x-coordinate of the midpoint between the two x-intercepts:

  x = (-2 +5)/2 = 3/2

The x-coordinate of the vertex is x = 1.5.

______

<em>Additional comment</em>

The attachment shows a table with three evenly-spaced points on the curve. The calculations show first differences (d1) and second differences (d2). You can see that the sign of the second diffference is negative, in agreement with the given conditions.

You might be interested in
Which can be used to describe the expression? Check all that apply.
Burka [1]

Answer:

B and D

Step-by-step explanation:

One thing is for certain. The final answer will be 1/r^12 or r^(-12)

When written as the given of (r^-4)^3, the powers are multiplied.

The first one is false. There are 4 factors of r^-4 If you get an answer that says it is true, then the question means that r^-4 is 3 equal factors of r^-12

B is true

C: not true. The exponents are multiplied, not added.

D is true

E: not true. This is the same thing as C.

6 0
3 years ago
Divide -2 1/2 divied by 6<br> A)- 2 1/6<br> B)- 5/12 <br> C)5/12 <br> D)2 1/6
astraxan [27]

Answer: − 5 /12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How many elements are in the set {A,B,C}?
NARA [144]
<span>elements in Set A, B and C. Set A, B and C have some elements in common. If 16 elements are in both A and B, 17 elements are in both A and C, and 18 elements are in both B and C, how many elements do all these three of the sets A, B and C have in common? 1.</span>
7 0
3 years ago
Read 2 more answers
Two boys are collecting stamps. Cord has 31 stamps from each country. He has stamps from 49 different countries. Jett has 26 sta
Aleonysh [2.5K]

B.) Cord has a total of 1,519 stamps.

A.) Jett has 15 more stamps than Cord.


These are your two correct answers.

6 0
3 years ago
point O lies in the interior of angle MNP. if the measure of MNO is x^2 + 10x, the measure of ONP is x^2 - 2x , and the measure
Triss [41]

Answer:

x = 6; ∠ONP = 24°

Step-by-step explanation:

1. Find the value of x

\begin{array}{rcl}\angle MNP & = & \angle MNO + \angle ONP\\3x^{2} + 12 & = & x^{2} + 10x + x^{2} - 2x\\3x^{2} + 12 & = & 2x^{2} + 8x\\x^{2} + 12 & = & 8x\\x^{2} -8x + 12 & = & 0\\(x - 2)(x - 6) & = & 0\\\end{array}

x = 2 \text{ or }x = 6

2. Find the measures of the angles

(a) x = 2

∠ ONP = x² - 2x = 2² - 2(2) = 4 - 4 = 0

This answer does not make sense because O lies in the interior of ∠MNP.

We disregard x = 2.

(b) x = 6

∠ ONP = x² - 2x = 6² - 2(6) = 36 - 12 = 24

5 0
3 years ago
Other questions:
  • What is the value of the expression 8p4
    5·1 answer
  • What is the common denominator for theses: 5/6, 7/9, 3/5
    14·1 answer
  • Solve 2,401 = 76 – 2x.
    7·2 answers
  • What is the length of ? Round to the nearest tenth. hurry please
    5·1 answer
  • Helpppppppooo meeee pleaseeeeeeeeeeeeeee help meee
    9·1 answer
  • The lengths of the sides of triangle XYZ are written in terms of the variable m, where m ≥ 6.
    7·2 answers
  • What is a supplementary Angel
    15·1 answer
  • Parallelogram DEFG, DH = x + 3, HF = 3y, GH = 2x – 5, and HE = 5y + 2. Find the values of x and y.
    15·1 answer
  • Please help ill give brainliest
    8·2 answers
  • Solve 7x2(x + 1) = 6x + 14<br> Ox=-12<br> Ox = 12<br> Ox= -16<br> Ox = 16
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!