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3 years ago

What standard form polynomial expression represents the area of the triangle? 3g^2-6g+2

Mathematics

1 answer:

vekshin13 years ago

7 0

Answer:

Area of Rectangle = length times width

lets say length = 2x-4

width = x+5

Note: you can switch these around, width could be 2x-4 and length could be x+5, it doesnt matter.

With that being said:

length * width = area

(2x-4)(x+5)=area

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A sofa regularly sells for $ 500 $500. the sale price is $ 475.00 $475.00. find the percent decrease of the sale price from the

maxonik [38]

5% decrease 495/500= .95, 1.00-.95= .05

3 0

3 years ago

Vertex form of <br> y=x^2-4x-9

Scrat [10]

Complete the square
first isolate x terms
y=(x^2-4x)-9
complete square inside (take 1/2 of square of b )
-4/2=-2, (-2)^2=4
add 4-4 inside
y=(x^2-4x+4-4)-9
complete the square
y=((x-2)^2-4)-9
y=(x-2)^2-4-9
y=(x-2)^2-13

3 0

3 years ago

The average age of staff in the maths department is 40.

pashok25 [27]

Answer:

Cerian is 28 years old

Step-by-step explanation:

The given parameters are;

The average age of the staffs in the mathematics department = 40

The number of staffs in the department = 7

The average age of Jill, Nicky and Wendy = 41

The average age of Andy, Alan and Cathy = 43

From the given parameters, we have;

The average age of the staffs in the mathematics department = (The sum total of the ages of the members of the math department)/(The number of staffs in the department)

Therefore;

40 = (The sum total of the ages of the members of the math department)/ (7)

From which we have;

The sum total of the ages of the members of the math department = 40 × 7 = 280

Which gives;

Jill's age + Nicky's age + Wendy's age + Cathy's age + Cerian's age + Alan's age + Andy's age = 280 years

The average age of Jill, Nicky and Wendy = 41

Given that Jill, Nicky, and Wendy make up 3 of the 7 members of staffs, we have;

The average age of Jill, Nicky and Wendy = (The sum total of the ages of Jill, Nicky, and Wendy)/(The number of staff Jill, Nicky, and Wendt make)

Therefore;

The sum total of the ages of Jill, Nicky, and Wendy = 41 × 3 = 123

Which gives;

Jill's age + Nicky's age + Wendy's age = 123 years

Similarly, the sum total of the ages of Andy, Alan, and Cathy = 43 × 3 = 129

Which gives;

Andy's age + Alan's age + Cathy's age = 129 years

Therefore;

Cerian's age = (Jill's age + Nicky's age + Wendy's age + Cathy's age + Cerian's age + Alan's age + Andy's age) - (Jill's age + Nicky's age + Wendy's age) + (Andy's age + Alan's age + Cathy's age)

∴ Cerian's age = 280 years - 123 years - 129 years = 28 years

6 0

3 years ago

Can someone help me with this problem I really don’t know how to work it out and I’m getting frustrated please help..

11Alexandr11 [23.1K]

Answer:

1 cake and 6 pies

Step-by-step explanation:

Let c represent the number of cakes Alice and George can make. Likewise, let p represent the number of pies.

Then the amount of flour they need (in cups) is ...

3c + 2p . . . . cups of flour needed

And the amount of sugar needed is ...

2c + 1.5p . . . cups of sugar needed

They want to use all 15 cups of flour they have, and all 11 cups of sugar, so the amounts above need to match the amounts on hand:

3c + 2p = 15

2c + 1.5p = 11

We can solve these equations various ways. One of my favorite is to use a graphing calculator. (See attached) It tells us that Alice and George can make 1 cake and 6 pies with the flour and sugar they have.

_____

If you want to solve these equations algebraically, there are several methods for that, too. Here, we can multiply the first one by 2/3 and subtract the result from the second one:

(2c +1.5p) -(2/3)(3c +2p) = (11) -(2/3)(15)

2c +3/2p -2c -4/3p = 11 -10 . . . . . eliminate parentheses

1/6p = 1 . . . . . . . . . . . . . . . . . . . . . .collect terms

p = 6 . . . . . . . . . . . . . . . . . . . . . . . . multiply by 6

Substituting into the first equation gives ...

3c +2·6 = 15 . . . substitute 6 for p

3c = 3 . . . . . . . . subtract 12

c = 1 . . . . . . . . . . divide by 3

These values tell us Alice and George can make 1 cake and 6 pies with the flour and sugar they have.

7 0

3 years ago

Plz help! TIME REMAINING 35:45

Marizza181 [45]

Answer:

Step-by-step explanation:

8 0

3 years ago

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