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
Write the number 0.632 in the other forms
shusha [124]

.600 + .030 + .002 is another form for that number - this is standard form : )
6 0
3 years ago
Isabella has 5 pounds of trail mix. She divides the mix into 1/4 pound servings. How many 1/4 pound servings does she have
Nataly [62]
5 divided by 1/4 = 20 servings
8 0
3 years ago
Read 2 more answers
Find the length of side s to the nearest tenth.
stepladder [879]

Answer:

10.3

Step-by-step explanation:

So first you get the angle of T which is 25 degrees

The you use the law of sine

\frac{s}{Sin 119} =\frac{5}{Sin 25}

Then you get s = 10.34763268

Round to nearest tenth

s = 10.3

8 0
2 years ago
What does 5/6 mean in math <br> p.s 5/6 in fraction
SOVA2 [1]

In math the fraction 5/6 means 5 and 6 tenths.

8 0
3 years ago
A. Evaluate the polynomial
sdas [7]

Answer:

a) y = x³− 5x² + 6x + 0.55 at x = 1.37.

Use 3-digit arithmetic with chopping. Evaluate the percent relative round-off error.

-1.183%

b. Express y as y = ((x − 5)x + 6)x + 0.55 (this is the same equation). Use again 3-digit arithmetic with chopping. Evaluate the percent relative round-off error and compare with part (a). Make the conclusion about which form of the polynomial is superior.

-0.161%

Comparing part a and b together, part b is more superior because the percent(%) error is smaller when compared to part a

Step-by-step explanation:

a) y = x³− 5x² + 6x + 0.55 at x = 1.37.

Use 3-digit arithmetic with chopping. Evaluate the percent relative round-off error.

Let's evaluate before applying the 3 digit arithmetic chopping rule

y = 1.37³ - 5 × 1.37² + 6 × 1.37 + 0.55

y = 1.956853

Let evaluate each components of the polynomial one by one

Note that: 3-digit arithmetic chopping means to approximate chop off or remove number after the 3 significant figures.

y = x³− 5x² + 6x + 0.55 at x = 1.37.

x³ = 1.37³ = 2.571353

≈ 2.57

x² = 1.37² = 1.8769

≈ 1.88

5x² = 1.87 × 5

= 9.35

x = 1.37

6x = 1.37 × 6

6x = 8.22

Evaluating the polynomial

y = 2.57 - 9.38 + 8.22 + 0.55

y = 1.98

The percent relative round-off error =

1.956853 - 1.98/1.956853 × 100

= -1.183%

b. Express y as y = ((x − 5)x + 6)x + 0.55 (this is the same equation). Use again 3-digit arithmetic with chopping. Evaluate the percent relative round-off error and compare with part (a). Make the conclusion about which form of the polynomial is superior.

y = ((x − 5)x + 6)x + 0.55

Evaluating with the 3 digit chop off rule is applied

= ((1.37 - 5)1.37 + 6)1.37 + 0.55

=( 1.8769 - 6.85) + 6) 1.37 + 0.55

= (- 4.9731 + 6 )1.37 + 0.55

= 1.0269 × 1.37 + 0.55

= 1.406853

= 1.956853.

≈ 1.96

Note in: evaluating before applying the 3 digit arithmetic chopping rule

y = 1.37³ - 5 × 1.37² + 6 × 1.37 + 0.55

y = 1.956853

The percent relative round-off error

1.956853 - 1.96/1.956853 × 100

= -0.161%

Comparing part a and b together, part b is more superior because the percent(%) error is smaller when compared to part a

3 0
3 years ago
Other questions:
  • bill drove 315 miles in 7 hours, alisha drove 235 miles in hours, and Joanne drove 414 miles in 9 hours. Which person drove at a
    9·2 answers
  • 2500 people in the town 3200 move away what was the percent of decrease
    7·2 answers
  • Y = 7ex, y = 7e−x, x = 1; about the y-axis
    6·1 answer
  • If f(x) = −-4x^{2} + 15, then f(−3) =
    5·2 answers
  • Help me plz number 2 plz
    15·1 answer
  • Can someone help me answer this
    11·1 answer
  • If two polynomial equations have real solutions, then will the equation that is the result of adding, subtracting, or multiplyin
    10·2 answers
  • Pls help thank you very much
    9·2 answers
  • PLz DO it all I will give brainlest and thanks.
    10·1 answer
  • A quadratic function models the graph of a parabola. The quadratic functions, y = x2 and y = x2 + 3, are modeled in the graphs o
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!