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
Gnom [1K]
3 years ago
15

-9x2 + 13x – 1=0 I need 3 answers, pls help me:)

Mathematics
1 answer:
kifflom [539]3 years ago
5 0

The answer to this question is x = 13/9 = 1.444

You might be interested in
Find the absolute maximum and absolute minimum values of the function f(x, y) = x 2 + y 2 − x 2 y + 7 on the set d = {(x, y) : |
dsp73

Looks like f(x,y)=x^2+y^2-x^2y+7.

f_x=2x-2xy=0\implies2x(1-y)=0\implies x=0\text{ or }y=1

f_y=2y-x^2=0\implies2y=x^2

  • If x=0, then y=0 - critical point at (0, 0).
  • If y=1, then x=\pm\sqrt2 - two critical points at (-\sqrt2,1) and (\sqrt2,1)

The latter two critical points occur outside of D since |\pm\sqrt2|>1 so we ignore those points.

The Hessian matrix for this function is

H(x,y)=\begin{bmatrix}f_{xx}&f_{xy}\\f_{yx}&f_{yy}\end{bmatrix}=\begin{bmatrix}2-2y&-2x\\-2x&2\end{bmatrix}

The value of its determinant at (0, 0) is \det H(0,0)=4>0, which means a minimum occurs at the point, and we have f(0,0)=7.

Now consider each boundary:

  • If x=1, then

f(1,y)=8-y+y^2=\left(y-\dfrac12\right)^2+\dfrac{31}4

which has 3 extreme values over the interval -1\le y\le1 of 31/4 = 7.75 at the point (1, 1/2); 8 at (1, 1); and 10 at (1, -1).

  • If x=-1, then

f(-1,y)=8-y+y^2

and we get the same extrema as in the previous case: 8 at (-1, 1), and 10 at (-1, -1).

  • If y=1, then

f(x,1)=8

which doesn't tell us about anything we don't already know (namely that 8 is an extreme value).

  • If y=-1, then

f(x,-1)=2x^2+8

which has 3 extreme values, but the previous cases already include them.

Hence f(x,y) has absolute maxima of 10 at the points (1, -1) and (-1, -1) and an absolute minimum of 0 at (0, 0).

3 0
3 years ago
X + y - z = - 2, 2x - y + z = 8, - x + 2y + 2z = 10
Maurinko [17]

Answer:

a

Step-by-step explanation:

3 0
2 years ago
You pick a marble and spin the spinner. How many outcomes are possible?
grigory [225]

Answer:

4 i think

Step-by-step explanation:

can you go one question to the left i need help

6 0
3 years ago
Today the 6th graders had 5 students absent, the 7th graders had 8 students absent,and the 8th graders had 9 students absent. If
Irina18 [472]
All you have to do is multiply 8 by 20 which is 160
7 0
3 years ago
Consider the set of points defined by z = 5 cos(theta) + 3i sin(theta).
vitfil [10]

Answer:

This is an ellipse.

Step-by-step explanation:

z=5cos(\theta)+3isin(\theta)

Applying the angle values in intervals of right angles (90°), the resulting set of values for z are:

\theta = 0,90,180,270,360

z=5,3i,-5,-3i,5 (again)

If you look at the plot, you will observe how these values represent points in the xy plain. All of them belong to either the x or the y axis.

The resulting figure for the whole set of values of \theta is in fact an ellipse.

4 0
3 years ago
Other questions:
  • 5) The smallest number into which two denominators go evenly is called the _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ denominat
    12·2 answers
  • The width of a rectangle is 1/3 its length, l .
    10·1 answer
  • Briana walks 3/4 miles in 1/5 hour.How much did she walk in 1 hour?
    13·2 answers
  • I’m completely lost can anybody help solve this
    15·1 answer
  • What is (-1/-2) + 2=
    11·1 answer
  • HELP PLEASE!!!!!!!! ILL GIVE U 10 POINTS
    15·2 answers
  • Solve for j.<br><br> 2j − 7 = 3<br><br> j =
    8·1 answer
  • A line passes through the point (6, 7) and has a slope of 4.
    13·1 answer
  • Pls help btw this is for a friend
    15·2 answers
  • Find the values of x (there are two) when the ratio of the area of the shaded portion of the figure to the total area of the fig
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!