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
tankabanditka [31]
3 years ago
10

PLEASE HELP 40 POINTS!!!

Mathematics
1 answer:
pshichka [43]3 years ago
7 0

Answer:

it seas 40 points but its only 20

Step-by-step explanation:

;-;

You might be interested in
The minimum/maximum value of the function y = a(x − 2)(x − 1) occurs at x = d, what is the value of d?
daser333 [38]

Answer:

d=\frac{3}{2}=1.5

Step-by-step explanation:

We have the function:

y=a(x-2)(x-1)

And we want to find x=d for which the minimum/maximum value will occur.

Notice that our function is a quadratic in factored form.

Remember that the minimum/maximum value always occurs at the vertex point.

And remember that the x-coordinate of the vertex is the axis of symmetry.

Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.

Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.

Our factors are <em>(x-2) </em>and <em>(x-1)</em>.

Therefore, our roots/zeros are <em>x=1, 2</em>.

So, the average of them are:

d=\frac{1+2}{2}=3/2=1.5

Therefore, regardless of the value of <em>a</em>, the minimum/maximum value will occur at <em>x=d=1.5</em>.

Alternative Method:

Of course, we can also expand to confirm our answer. So:

y=a(x^2-2x-x+2)\\y=a(x^2-3x+2)\\y=ax^2-3ax+2a

The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.

And the formula for the vertex is:

x=-\frac{b}{2a}

So, we will substitute <em>-3a</em> for <em>b</em> and <em>a</em> for <em>a</em>. This yields:

x=-\frac{-3a}{2a}=\frac{3}{2}=1.5

Confirming our answer.

4 0
3 years ago
A bus driver pays all tolls, using only nickels and dimes, by throwing one coin at a time into the mechanical toll collector.
lutik1710 [3]

Answer: a) An = An-1 + An-2

b) 55ways

Step-by-step explanation:

a) a nickel is 5 cents and a dime is 10cent so a multiple of 5 cents is the possible way to pay the tolls in both choices.

Let An represents the number of possible ways the driver can pay a toll of 5n cents, so that

An = 5n cents

Case 1: Using a nickel for payment which is 5 cents, the number of ways given as;

An-1 = 5( n-1)

Case 2: using a dime which is two 5 cents, the number of ways is given as;

An-2 = 5(n-2)

Summing up the number of ways, we have

An = An-1 + An-2

From the relation,

If n= 0, Ao= 1

n =1, A1= 1

b) 45 cents paid in multiples of 5cents will give us 9 ways(A9)

From the relation, we have that

Ao = 1

A1 = 1

An =An-1 + An-2

Ao = 1

A1 = 1

A2 = A1+Ao = 1+1= 2

A3 = A2 + A1 = 3

A4 = A3+A2=5

A5=A4+A3=8

A6=A5+A4=13

A7 =A6+A5 = 21

A8= A7+A6= 34

A9= A8+A7= 55

So there are 55ways to pay 45cents.

4 0
3 years ago
Use the product to sum formulas to write the product as a sum or difference
alina1380 [7]
Ok can you please show the formula or give more information please
6 0
3 years ago
If I had 3000 pennies and my mom took away 1000 pennies how many are left
pishuonlain [190]

Subtract 3000-1000

took away means subtracting

left means how many are remaining

3000-1000= 2000

Answer:

2000 pennies

7 0
3 years ago
Read 2 more answers
Twice the difference between a number and 10 is equal to 6 times the number plus 16. What is the number?
oksano4ka [1.4K]
This is a lot of math to write.... so I'll just say the answer is -21 :D
8 0
3 years ago
Other questions:
  • Adam earns 50p per kilo each can weighs 15g he earns £15 how many cans
    13·1 answer
  • Isaac wants the equation below to have no solution when the missing number is placed in the box.
    11·2 answers
  • The amount of paper recycled is directly proportional to the number of trees that recycling saves. If recycling 2,000 pounds of
    11·1 answer
  • A jar contains jellybeans that are all the same size and shape.
    14·1 answer
  • A 25-foot flag pole casts a shadow of 40 feet. What is the approximate height from the top of the flag pole to the top of the sh
    8·1 answer
  • Sarah grace has to work 75 hours of community service for her honor society. she has already worked 15 hours. how many hours a w
    5·2 answers
  • Pls answer corectly <br><br> ignore the teacher in the backruond
    12·1 answer
  • You want to know about the dining habits of college students in the US. Since you do not have resources to survey all college st
    14·1 answer
  • PLEASE PLEASE PLEASE HELP ILL GIVE BRAINEST PLEAESE​
    8·2 answers
  • two students together have 27 nuts. if one of them had 3 times more, while the other 7 times more they would have 117 nuts. how
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!