what is the local minimum on a graph

Answer:

David is 55 years old

Morgan is 23 years old

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Step-by-step explanation:

Let the age of David = x years

Let the age of Morgan = y years

We are Given:

The sum of David and Morgan's age is 78

7 years ago, David's age was 3 times Morgan's age

__________________________________________________________

Making the equations:

from the first statement, the sum of their ages is 78

So, we can write it as:

x + y = 78

from the second statement,7 years ago, David's age was 3 times Morgan's age

David's age 7 years ago = (x - 7)

Morgan's age 7 years ago = (y-7)

So, we can write the equation as:

(x - 7) = 3(y - 7)

which can be simplified to:

x = 3y - 14

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Solving the equations:

We have the 2 equations:

from the first equation, we can say that:

x = 78 - y

Using this value in the second equation:

x = 3y - 14

78 - y=  3y - 14                                                             [since x = 78 - y]

78 + 14 = 4y

4y = 92

y = 23

Using this value in the first equation:

x + y = 78

x + 23 = 78                                                                  [since y = 23]

x = 55

__________________________________________________________

The Age of David and Morgan:

Since we assigned x to the age of David:

David is 55 years old

We assigned y to the age of Morgan. So,

Morgan is 23 years old

Answer:

S10 = 320

Step-by-step explanation:

The formula for calculating the sum of the nth term of an AP is expressed as

Sn = n/2(2a+(n-1)d))

Given

a = 4

d = 5

n = 10

S10 =10/2{2(5)+(10-1)5}

S10 =5{10+9(6)}

S10 =5{10+54}

S10 = 5(64)

S10 = 320

Hence the sum of the first ten terms of the sequence is 320

Answer:

93%

Step-by-step explanation:

From the question given above, the following data were obtained:

Total number of student = 300

Number of student that can not drive = 21

Percentage of student that can drive =.?

Next, we shall determine the number of student that can drive. This can be obtained as follow:

Total number of student = 300

Number of student that can not drive = 21

Number of student that can drive =?

Number of student that can drive = (Total number of student) – (Number of student that can not drive)

Number of student that can drive = 300 – 21

Number of student that can drive = 279

Finally, we shall determine the percentage of student that can drive as illustrated below:

Total number of student = 300

Number of student that can drive = 279

Percentage of student that can drive =?

Percentage of student that can drive =

279/300 × 100

= 93%

Thus, 93% of the student can drive.

Answer && Step-by-step explanation:

Simple plug and chug

we know a+b == 6 so replace the set as 6 so:

2(6)+6/6+(6)^2-2

12+1+36-2

49-2

==47

Answer:

the answer is opposite

Answer:

its c for sure, its obvious

Answer:

the answer is a your welcome

Answer:

n=6.42

Step-by-step explanation:

Following the steps for this equation.

Answer:

29.9.2+

Step-by-step explanation:

That should be right

Answer:

y=5

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( 5-5)/( -7 - -3)

   = ( 5-5) / ( -7+3)

  = 0/-4

The slope is 0

This means it is a horizontal line

Horizontal lines are in the form

y =

The y coordinate is 5

y=5

Answer:

You can do (3x200)+(3x10)+(3x9) Hope it helps!

The product is 657 if you need it!

Step-by-step explanation:

Answer:

[tex]\frac{d}{2} - 120[/tex]

Step-by-step explanation:

You work backwards:

Half of d dollars is d/2. Then you take 120 less than that, which means you are subtracting.

Answer:

1/2d-120

Step-by-step explanation:

Alright.

d=amount of money

1/2d=half of the amount of money

1/2d-120=half of the money minus 120

Answer

35

Step-by-step explanation:

4.55/.13=35. Also, Heidi could do 35x13. I hope this helps!

Answer:

2

Step-by-step explanation:

lol

Answer:

Thx for my points back that you stole

Step-by-step explanation:

Answer: Hence Pair( x, y) = [ 105/2, 105/2]

Step-by-step explanation:

Given that;

Among all pairs of numbers with a sum of 105;

the pair whose product is maximum = ?

so let pairs of numbers with a sum of 105 be x and y respectively

x + y = 105

let y = 105 - x

now

product = xy =  x( 105 - x ) = 105x - x²

now

p(x) = 105x - x²

for maximum value of p

dp/dx =0

⇒ dp/dx = 105 - 2x = 0

2x = 105

x = 105/2

y + x = 105

y = 105 - x

y = 105 - 105/2 = 105/2

Hence Pair( x, y) = [ 105/2, 105/2]

Answer:

x<4.7

Step-by-step explanation:

2(x-2)+8.6<14

2x-4+8.6<14

2x=4.6<14

2x<14-4.6

2x<9.4

_____

x<4.7

                                mom said its my turn to be brainliest answer ;0

                                also, help me on my math hw maybe ?

Answer: x < 4.7

Step-by-step explanation:

Answer:

1500+40N=A

Step-by-step explanation:

40 per month (N) plus the initial amount = $ in account (A)

Step-by-step explanation:

y=p²+qr

y-qr=p²

p=√y-qr

now, is it fine..

Answer:

e=4

Step-by-step explanation:

Answer:

some dumb mod deleted my answer because i didnt show work. Who cares about the work everyone just wants the answers.

55.) A.9 B. 29

57.) SAS

Step-by-step explanation:

Answer:

(17.5 / 120 - 2v) + (15 / v)

Step-by-step explanation:

Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v ,

chauffeur is paid $15/hour

gas cost = $3.5/gallon.

Gasoline cost per mile :

Cost per gallon = $3.5

Cost per gallon * 1/(m(v))

$3.5 * 1 / (120 - 2v) / 5

$3.5 * 5 / 120 - 2 v

= 17.5 / 120 - 2v

Time = distance / speed

Chauffeur cost = 15 per hour / v

Hence ;

Total cost :

Cost of gasoline + Cost of chauffeur

(17.5 / 120 - 2v) + (15 / v)

Answer would be - (17.5 / 120 - 2v) + (15 / v)

           Then result will be = 17.5 / 120 - 2v

Hence ;

The total cost will be :  Cost of gasoline + Cost of chauffeur

(17.5 / 120 - 2v) + (15 / v)

Learn more about

https://brainly.com/question/1499535

Answer:

there are 2 Magnesium and Nitrogen

Step-by-step explanation:

Answer:

Length = 7 ft

Breadth = 7 ft

Step-by-step explanation:

Let lenght of rectangle be x

and breadth be y

Area = [tex]49\ \text{ft}^2[/tex]

[tex]xy=49\\\Rightarrow x=\dfrac{49}{y}[/tex]

Permiter of a rectangle is given by

[tex]P=2(x+y)\\\Rightarrow P=2x+2y\\\Rightarrow P=2\times\dfrac{49}{y}+2y\\\Rightarrow P=\dfrac{98}{y}+2y[/tex]

Differentiating with respect to y we get

[tex]\dfrac{dP}{dy}=-\dfrac{98}{y^2}+2[/tex]

Equating with zero

[tex]0=-\dfrac{98}{y^2}+2\\\Rightarrow -2=-\dfrac{98}{y^2}\\\Rightarrow y^2=\dfrac{98}{2}\\\Rightarrow y^2=49\\\Rightarrow y=7[/tex]

Double derivative of the equation

[tex]\dfrac{d^2P}{dy^2}=2\dfrac{98}{y^3}\\\Rightarrow \dfrac{d^2P}{dy^2}=\dfrac{196}{y^3}>0[/tex]

So the value of y is minimum at 7.

[tex]x=\dfrac{49}{y}=\dfrac{49}{7}\\\Rightarrow x=7[/tex]

Hence, [tex]x=7,y=7[/tex]

The mimimum length and breadth of the rectangle is both 7 ft.

Answer:

Hope this helps!!!

Step-by-step explanation:

6(2−3)

Answer:

6(2n - 3)

Step-by-step explanation:

Answer:

(0, 0)

Reasoning:

Y-intercept means set x to 0 and solve, therefore;

[tex]y=1/3(0) -1y[/tex]

[tex]y=0-1y[/tex]

[tex]2y=0[/tex]

[tex]y=0/2=0[/tex]

Thus, the y-intercept is (0,0)

I hope this helps you and good luck!

Answer:

22 is 10 of 220

Step-by-step explanation:

hope it help

Answer:

c

Step-by-step explanation: