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
emmainna [20.7K]
3 years ago
5

Can someone explain to me the meaning of x<-10

Mathematics
2 answers:
insens350 [35]3 years ago
8 0

Explanation:

When you get this sign “<“ we know that the number in the right side is greater than the number in left side.

.

.

.

So here x is smaller than -10

AlexFokin [52]3 years ago
3 0

Answer:  x<-10

Step-by-step explanation:

the < in the math equation means that the number to the right is greater than the number to the left.   x can not be -10 it has to be lower (smaller).

You might be interested in
Explain why it works to break apart a number by place values to multiply
Illusion [34]
It works because even if the numbers are broken apart, you are still multiplying the numbers by their values, it's only different because once broken apart, it's in expanded form instead of standard form. It also makes multiplication easier since you don't have to deal with such large numbers.
6 0
3 years ago
Read 2 more answers
The plane x + y + z = 12 intersects paraboloid z = x^2 + y^2 in an ellipse.(a) Find the highest and the lowest points on the ell
emmasim [6.3K]

Answer:

a)

Highest (-3,-3)

Lowest (2,2)

b)

Farthest (-3,-3)

Closest (2,2)

Step-by-step explanation:

To solve this problem we will be using Lagrange multipliers.

a)

Let us find out first the restriction, which is the projection of the intersection on the XY-plane.

From x+y+z=12 we get z=12-x-y and replace this in the equation of the paraboloid:

\bf 12-x-y=x^2+y^2\Rightarrow x^2+y^2+x+y=12

completing the squares:

\bf x^2+y^2+x+y=12\Rightarrow (x+1/2)^2-1/4+(y+1/2)^2-1/4=12\Rightarrow\\\\\Rightarrow (x+1/2)^2+(y+1/2)^2=12+1/2\Rightarrow (x+1/2)^2+(y+1/2)^2=25/2

and we want the maximum and minimum of the paraboloid when (x,y) varies on the circumference we just found. That is, we want the maximum and minimum of  

\bf f(x,y)=x^2+y^2

subject to the constraint

\bf g(x,y)=(x+1/2)^2+(y+1/2)^2-25/2=0

Now we have

\bf \nabla f=(\displaystyle\frac{\partial f}{\partial x},\displaystyle\frac{\partial f}{\partial y})=(2x,2y)\\\\\nabla g=(\displaystyle\frac{\partial g}{\partial x},\displaystyle\frac{\partial g}{\partial y})=(2x+1,2y+1)

Let \bf \lambda be the Lagrange multiplier.

The maximum and minimum must occur at points where

\bf \nabla f=\lambda\nabla g

that is,

\bf (2x,2y)=\lambda(2x+1,2y+1)\Rightarrow 2x=\lambda (2x+1)\;,2y=\lambda (2y+1)

we can assume (x,y)≠ (-1/2, -1/2) since that point is not in the restriction, so

\bf \lambda=\displaystyle\frac{2x}{(2x+1)} \;,\lambda=\displaystyle\frac{2y}{(2y+1)}\Rightarrow \displaystyle\frac{2x}{(2x+1)}=\displaystyle\frac{2y}{(2y+1)}\Rightarrow\\\\\Rightarrow 2x(2y+1)=2y(2x+1)\Rightarrow 4xy+2x=4xy+2y\Rightarrow\\\\\Rightarrow x=y

Replacing in the constraint

\bf (x+1/2)^2+(x+1/2)^2-25/2=0\Rightarrow (x+1/2)^2=25/4\Rightarrow\\\\\Rightarrow |x+1/2|=5/2

from this we get

<em>x=-1/2 + 5/2 = 2 or x = -1/2 - 5/2 = -3 </em>

<em> </em>

and the candidates for maximum and minimum are (2,2) and (-3,-3).

Replacing these values in f, we see that

f(-3,-3) = 9+9 = 18 is the maximum and

f(2,2) = 4+4 = 8 is the minimum

b)

Since the square of the distance from any given point (x,y) on the paraboloid to (0,0) is f(x,y) itself, the maximum and minimum of the distance are reached at the points we just found.

We have then,

(-3,-3) is the farthest from the origin

(2,2) is the closest to the origin.

3 0
3 years ago
Ian is going to water his plants .is it resasoable to say he will fill the watering can with 3liters of water explain
cluponka [151]
No! a liter is as much as a big bottle of soda! he should use 3 milileters. please vote me brainliest if i helped :) ❤️
6 0
3 years ago
Can you solve ?<br> |2x-9|=7<br> What is the answer please
Nikitich [7]
Split it into 2 equations
2x-9 = 7
2x = 16
x = 8
And another equation
2x-9 = -7
2x = 2
x = 1
The answer is x =1, x= 8
4 0
3 years ago
Rewrite in simplest terms:
Margarita [4]
The answer is: 66m + 16 !! hope that helps
6 0
2 years ago
Other questions:
  • Which of the following is the conjugate of a complex number with 2 as the real part and −8i as the imaginary part?
    12·2 answers
  • What is the simplified value of the expression below rounded to the nearest hundredth?
    14·2 answers
  • Write 1.005 as a mixed number. Then write how to read this number aloud.
    9·1 answer
  • 20 Points Available<br> Find the measure of angle 2.
    8·2 answers
  • Please help!! Only answer if you know the answer. Thank you.
    12·2 answers
  • How much money do you save when you buy a $40 video game that is on sale for 25% off?
    13·2 answers
  • Simplify the expression ​
    11·1 answer
  • HALP. First answer brainliest
    7·2 answers
  • How to find the domain of a composite function
    10·1 answer
  • HELP!!! Due in 20 minuets
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!