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snow_tiger [21]
3 years ago
6

From 7x^2+5xy-3y^2 subtract the sum of 2x^2+3xy-5y^2 and x^2-7xy-4y^2

Mathematics
1 answer:
Crazy boy [7]3 years ago
5 0

Answer:

  4x^2 +9xy +6y^2

Step-by-step explanation:

Combine like terms. I find it useful to factor out the variable part of the expression so I can see what coefficients are being combined.

  7x^2+5xy-3y^2 - (2x^2+3xy-5y^2 + x^2-7xy-4y^2)

  = (7 -2 -1)x^2 +(5 -3+7)xy +(-3 +5 +4)y^2

  = 4x^2 +9xy +6y^2

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Solve. State the number of solutions.
Oksi-84 [34.3K]

Answer:

a. x=8

b.Step 1: Simplify both sides of the equation.

2(2x−2)=4x−4

(2)(2x)+(2)(−2)=4x+−4(Distribute)

4x+−4=4x+−4

4x−4=4x−4

Step 2: Subtract 4x from both sides.

4x−4−4x=4x−4−4x

−4=−4

Step 3: Add 4 to both sides.

−4+4=−4+4

0=0

Answer:

All real numbers are solutions.

c. Step 1: Simplify both sides of the equation.

3(x+1)=4x+7−x

(3)(x)+(3)(1)=4x+7+−x(Distribute)

3x+3=4x+7+−x

3x+3=(4x+−x)+(7)(Combine Like Terms)

3x+3=3x+7

3x+3=3x+7

Step 2: Subtract 3x from both sides.

3x+3−3x=3x+7−3x

3=7

Step 3: Subtract 3 from both sides.

3−3=7−3

0=4

all credit goes to mathpapa

5 0
3 years ago
Shania had $20 to spend on seven raffle tickets. After buying them she had $6. How much did each raffle ticket cost?
kogti [31]

Answer:

$2

Step-by-step explanation:

Total money Shania was having = $20.

After buying raffle tickets she was having a total of $6.

Thus ,

The money she spent on the raffle tickets = Money she was having initially -

                                                                         Money she was having after

                                                                         purchasing tickets .

                                                                 = $20 - $6

                                                                 = $14.

Thus She spent a total of $14 on tickets .

Now , number of tickets she bought = 7.

So, cost of each ticket = \frac{Money spent}{Number of tickets} = \frac{14}{7}

                                                          = $2.

Thus , each ticket costs $2 for Shania.

7 0
3 years ago
let's one two and three have the following relationships <1and <2 are adjacent right angles <1 and <3 are vertical a
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This means that ∠3 and ∠1 form a straight line; this makes them a linear pair, which makes their sum 180°.

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You buy 70 of your favorite songs from a Web site that charges ​$0.98 for each song. What is the cost of 70 ​songs? Use mental m
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3 years ago
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