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
vampirchik [111]
3 years ago
6

Let f(x)=5x+5 find f(-1)I need your help with this. please help me​

Mathematics
1 answer:
Alisiya [41]3 years ago
5 0

f(x) = 5x+5\\\\f(-1) = 5(-1) +5  = -5+5=0

You might be interested in
Translate the sentence into an equation.
emmasim [6.3K]

Answer:

6x + 9 = 4

Step-by-step explanation:

6 0
1 year ago
A police helicopter descends 128 feet to
rewona [7]

Answer:

h - d = 477 meters

Where:  h = original height

           d  = amount the helicopter descended

The original height of the helicopter is given to be h

Step-by-step explanation:

5 0
3 years ago
The plane x+y+2z=8 intersects the paraboloid z=x2+y2 in an ellipse. Find the points on this ellipse that are nearest to and fart
DiKsa [7]

Answer:

The minimum distance of   √((195-19√33)/8)  occurs at  ((-1+√33)/4; (-1+√33)/4; (17-√33)/4)  and the maximum distance of  √((195+19√33)/8)  occurs at (-(1+√33)/4; - (1+√33)/4; (17+√33)/4)

Step-by-step explanation:

Here, the two constraints are

g (x, y, z) = x + y + 2z − 8  

and  

h (x, y, z) = x ² + y² − z.

Any critical  point that we find during the Lagrange multiplier process will satisfy both of these constraints, so we  actually don’t need to find an explicit equation for the ellipse that is their intersection.

Suppose that (x, y, z) is any point that satisfies both of the constraints (and hence is on the ellipse.)

Then the distance from (x, y, z) to the origin is given by

√((x − 0)² + (y − 0)² + (z − 0)² ).

This expression (and its partial derivatives) would be cumbersome to work with, so we will find the the extrema  of the square of the distance. Thus, our objective function is

f(x, y, z) = x ² + y ² + z ²

and

∇f = (2x, 2y, 2z )

λ∇g = (λ, λ, 2λ)

µ∇h = (2µx, 2µy, −µ)

Thus the system we need to solve for (x, y, z) is

                           2x = λ + 2µx                         (1)

                           2y = λ + 2µy                       (2)

                           2z = 2λ − µ                          (3)

                           x + y + 2z = 8                      (4)

                           x ² + y ² − z = 0                     (5)

Subtracting (2) from (1) and factoring gives

                     2 (x − y) = 2µ (x − y)

so µ = 1  whenever x ≠ y. Substituting µ = 1 into (1) gives us λ = 0 and substituting µ = 1 and λ = 0  into (3) gives us  2z = −1  and thus z = − 1 /2 . Subtituting z = − 1 /2  into (4) and (5) gives us

                            x + y − 9 = 0

                         x ² + y ² +  1 /2  = 0

however, x ² + y ² +  1 /2  = 0  has no solution. Thus we must have x = y.

Since we now know x = y, (4) and (5) become

2x + 2z = 8

2x  ² − z = 0

so

z = 4 − x

z = 2x²

Combining these together gives us  2x²  = 4 − x , so

2x²  + x − 4 = 0 which has solutions

x =  (-1+√33)/4

and

x = -(1+√33)/4.

Further substitution yeilds the critical points  

((-1+√33)/4; (-1+√33)/4; (17-√33)/4)   and

(-(1+√33)/4; - (1+√33)/4; (17+√33)/4).

Substituting these into our  objective function gives us

f((-1+√33)/4; (-1+√33)/4; (17-√33)/4) = (195-19√33)/8

f(-(1+√33)/4; - (1+√33)/4; (17+√33)/4) = (195+19√33)/8

Thus minimum distance of   √((195-19√33)/8)  occurs at  ((-1+√33)/4; (-1+√33)/4; (17-√33)/4)  and the maximum distance of  √((195+19√33)/8)  occurs at (-(1+√33)/4; - (1+√33)/4; (17+√33)/4)

4 0
3 years ago
Which of the following is irrational? PLEASE HELP ASAP I WILL CRON BRAINLIEST
Sveta_85 [38]

Answer:

All of them are irrational except √9 which is rational.

Step-by-step explanation:

√5= 2.2606797749(irrational)

√9=3(rational) this one is rational

√7=2.64575131106(irrational)

√3.31662479035(irrational)

hope it helps.

7 0
3 years ago
Mrs. Gomez is a mother to 2 boys. The number of children she has is three times the number of boys she has. Her children are pla
slava [35]
There are 6 children total, 4 of which are girls. The ratio is 2:1 girls:boys, so there will need to be twice as many pinks as there are blues. If we get 12 pinks, then there will be 6 blues. That's the biggest since that's all the pinks the florist has.
3 0
3 years ago
Other questions:
  • Which of the following functions is graphed below?
    6·1 answer
  • the united states has 12,383 miles of coastline.if 0.8 of the coastline is located in georgia,about how many miles of coastline
    14·1 answer
  • Find the value of two numbers is there some is 12 and there difference is 4
    15·1 answer
  • You order two servings of pancakes and a fruit cup. The cost of the fruit cup is $1.50 you leave a 15% tip. Your total bill is $
    9·1 answer
  • What is the equivalent of <br>2/3x -9 - 2x + 2 = 1 after combining like terms?​
    5·1 answer
  • At the Barclays Center there are 850 seats. Tickets were sold for 816 of the seats. For what percentage of the seats were ticket
    14·2 answers
  • Multiply (5 × 104)(7 × 103), express in scientific notation.
    10·2 answers
  • Distance and slope for (1,4) &amp; (2,2)
    15·1 answer
  • Find the value of x HELP PLS
    14·2 answers
  • I NEED HELP FOR THIS QUESTION PLSSS
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!