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3 years ago

What is the simplified expression for –2a2b + a2 – 5ab + 3ab2 – b2 + 2(a2b + 2ab)?

Mathematics

2 answers:

lubasha [3.4K]3 years ago

7 0

It's D, the last one

Sergeeva-Olga [200]3 years ago

6 0

<h3><u>Answer:</u></h3>

The simplified expression is:

$a^2-ab-b^2+3ab^2$

<h3><u>Step-by-step explanation:</u></h3>

We have to simplify the expression which is given as:

$-2a^2b+a^2-5ab+3ab^2-b^2+2(a^2b+2ab)$

We simplify the algebraic expression first by solving the parenthesis term and then by combining the like terms.

Hence, on solving the above algebraic expression as:

$-2a^2b+a^2-5ab+3ab^2-b^2+2a^2b+4ab\\\\=-2a^2b+2a^2b+a^2-5ab+4ab+3ab^2-b^2\\\\=a^2-ab-b^2+3ab^2$

The simplified expression is:

$a^2-ab-b^2+3ab^2$

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Yesterday, Janie walked 3/5 mile to a friend’s house, 1/4 mile to the store, and 3/8 mile to another friend’s house. Which is th

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4 years ago

Willis tower in Chicago is 1450 feet tall. The John Hancock Center in Chicago is 1127 feet tall. Suppose you are asked to build

gayaneshka [121]

Answer:

Small Scale replica of John Hancock tower is approximately 2.33 m.

Step-by-step explanation:

Given:

Height of Willis tower = 1450 ft

Height of John Hancock Center = 1127 ft

Small Scale replica of Willis tower = 3 m

We need to find Small Scale replica of John Hancock tower.

First we will find the per meter scale of Willis tower and then using the same we will use to find the Small Scale replica height of John Hancock tower.

For 3 meter scaling = 1450 ft

So for 1 meter scaling = Number of foots in 1 meter Scaling

By Using Unitary method we get;

Number of foots in 1 meter Scaling = $\frac{1450}{3} = 483.333 \ ft$

Now we had 1 meter scaling as 483.333 ft and we need to find meter scaling for 1127.

So again Using Unitary method we get;

Small Scale replica of John Hancock = $\frac{1127}{483.333} = 2.331 \ m$

Rounding to nearest hundred we get;

Small Scale replica of John Hancock tower is approximately 2.33 m.

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3 years ago

What is illinois basketball currently ranked in their region?

AlekseyPX

Answer:

They are currently ranked 5.

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3 years ago

State the linear programming problem in mathematical terms, identifying the objective function and the constraints. A firm makes

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Answer:

Maximum profit at (3,0) is $27.

Step-by-step explanation:

Let quantity of products A=x

Quantity of products B=y

Product A takes time on machine L=2 hours

Product A takes time on machine M=2 hours

Product B takes time on machineL= 4 hours

Product B takes time on machine M=3 hours

Machine L can used total time= 8hours

Machine M can used total time= 6hours

Profit on product A= $9

Profit on product B=$7

According to question

Objective function Z= $9x+7y$

Constraints:

$2x+3y\leq 6$

$2x+4y\leq 8$

Where $x\geq 0, y\geq 0$

I equation $2x+3y\leq 6$

I equation in inequality change into equality we get

$2x+3y=6$

Put x=0 then we get

y=2

If we put y=0 then we get

x= 3

Therefore , we get two points A (0,2) and B (3,0) and plot the graph for equation I

Now put x=0 and y=0 in I equation in inequality

Then we get $0\leq 6$

Hence, this equation is true then shaded regoin is below the line .

Similarly , for II equation

First change inequality equation into equality equation

we get $2x+4y=8$

Put x= 0 then we get

y=2

Put y=0 Then we get

x=4

Therefore, we get two points C(0,2)a nd D(4,0) and plot the graph for equation II

Point A and C are same

Put x=0 and y=0 in the in inequality equation II then we get

$0\leq 8$

Hence, this equation is true .Therefore, the shaded region is below the line.

By graph we can see both line intersect at the points A(0,2)

The feasible region is AOBA and bounded.

To find the value of objective function on points

A (0,2), O(0,0) and B(3,0)

Put A(0,2)

Z= $9\times 0+7\times 2=14$

At point O(0,0)

Z=0

At point B(3,0)

Z= $9\times3+7\times0=27$

Hence maximum value of z= 27 at point B(3,0)

Therefore, the maximum profit is $27.

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4 years ago