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s344n2d4d5 [400]
3 years ago
14

Solve the following simultaneous equations using an algebraic method.

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
7 0
Y = -3
x = 4

5x + 3y = 11 [1]
2x - 7y = 29. [2]

[1]*2
10x +6y = 22 [3]

[2]*5
10x - 35y = 145. [4]

[4]-[3]
-41y = 123
y = -3
sub y into 5x +3y = 11

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anthonyś yearly budget for the furniture in his house is $18,000 he spent 9% of the budget on the family room how much did he sp
nata0808 [166]

Answer:

  $1620

Step-by-step explanation:

  9% of budget = 0.09 × $18000 = $1620

Anthony spent $1620 on the family room.

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3 years ago
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 21 N acts on
Marat540 [252]

Answer:

21N:7m/s

? :10m/s

21x10=210

210÷7=30N

Your final answer is 30N

Step-by-step explanation:

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4 0
3 years ago
Solve<br> 2<br> X = 6.<br> x =<br> Help would be greatly appreciated
Murrr4er [49]

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Step-by-step explanation:

6 0
3 years ago
2x^2-13x-24 factor the polynomial<br><br> Explain please
vovangra [49]

Answer:

(x - 8)(2x + 3)

Step-by-step explanation:

To factor a polynomial of the form

ax² + bx + c,

follow these steps:

1) Multiply ac together.

2) Find 2 factors of ac that add to b. Call these factors p and q.

3) Break up the middle term of the polynomial into px + qx.

4) Factor by grouping.

Now let's follow the steps above with your problem.

You are given the polynomial

2x² - 13x - 24,

so a = 2, b = -13, and c = -24

1) Find ac.ac is the product 2(-24) = -48

2) Now we need to find 2 factors of -48 that add to b, -13.

I know that 48 = 3 × 16, so if we use -16 and 3 for the two numbers, we have

-16 + 3 = -13

and -16 × 3 = -48.

3) Now we break up the middle term of the polynomial, -13x, into -16x + 3x.

The polynomial is now

2x² - 16x + 3x - 24

4) We factor the polynomial by grouping. To factor by grouping, you factor a common factor out of the first 2 terms and factor out a common factor out of the last two terms.

2x² - 16x + 3x - 24 =

= 2x(x - 8) + 3(x - 8)

We now see the common factor of x - 8, so we factor that out.

= (x - 8)(2x + 3)

Answer: (x - 8)(2x + 3)

8 0
3 years ago
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