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Scrat [10]
3 years ago
8

Which linear system of equations does the matrix represent? -3 5 | 15 2 3 | -10

Mathematics
1 answer:
Gre4nikov [31]3 years ago
4 0
Actually the answer is
-3x + 5y = 15
2x + 3y = -10
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2x^2+7x=15 write in standard then factor the left side of the equation.
Nataly [62]

Answer:

see explanation

Step-by-step explanation:

Given

2x² + 7x = 15 ( subtract 15 from both sides )

2x² + 7x - 15 = 0 ← in standard form

To factorise the left side

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 15 = - 30 and sum = + 7

The factors are + 10 and - 3

Use these factors to split the x- term

2x² + 10x - 3x - 15 ( factor the first/second and third/fourth terms )

2x(x + 5) - 3(x + 5) ← factor out (x + 5) from each term

(x + 5)(2x - 3) ← in factored form

5 0
3 years ago
1+2-3+4+5-6+7+8-9...+97+98-99
zaharov [31]

Answer:

  1584

Step-by-step explanation:

The sum of this sequence can be found a number of ways. One way is to recast it as the series whose terms are groups of three terms of the given series.

__

<h3>series of partial sums</h3>

The partial sums, taken 3 terms at a time, are

  1+2-3 = 0

  4+5-6 = 3

  7+8-9 = 6

...

  97+98-99 = 96

So the original series is equivalent to ...

  0 +3 +6 +... +96 = 3×1 +3×2 +... +3×32 = 3×(1 +2 +... +32)

That is, the sum is 3 times the sum of the consecutive integers 1..32.

__

<h3>consecutive integers</h3>

The sum of integers 1..n is given by the equation ...

  s(n) = n(n+1)/2

__

<h3>series sum</h3>

Using this to find the sum of our series, we find it to be ...

  series sum = 3 × (32)(33)/2 = 1584

_____

<em>Alternate solution</em>

The given series is the sum of integers 1-99, with 6 times the sum of integers 1-33 subtracted. That is, ...

  1 + 2 - 3 + 4 + 5 - 6 = 1+2+3+4+5+6 -2(3 +6) = 1+2+3+4+5+6 -6(1+2)

Continuing on to ...97 +98 -99 gives the result s(99) -6s(33).

Computed that way, we find the sum to be ...

  (99)(100)/2 -6(33)(34)/2 = 4950 -3366 = 1584

3 0
2 years ago
Select the best equation needed to solve for x; then solve for x:
Natali [406]

Step-by-step explanation:

A. 5x=12x-14

you will  simplify the equation to the form, which is simple to understand  

5x=12x-14

We move all terms containing x to the left and all other terms to the right.  

+5x-12x=-14

We simplify left and right side of the equation.  

-7x=-14

We divide both sides of the equation by -7 to get x.  

x=2

B.   5B+12=BB=28

you will  move all terms to the left:

.5B+12-(BB)=0

you will  move all terms containing B to the left, all other terms to the right

.5B-BB=-12

7 0
3 years ago
Read 2 more answers
Hello do any one know this answer
natita [175]

Answer:

A: y = -2x^2

Step-by-step explanation:

The parent function would be y = x^2 since it is a parabola.

Since the function has a vertical stretch by 2, y = 2x^2.

Finally, the function is inverted so the final equation would be y = -2x^2

3 0
3 years ago
Helppp ill mark brainliest <br> look at the picture
Dominik [7]

Answer:

She will have to earn $3,100

Step-by-step explanation:

6,600-3,500=3,100

8 0
2 years ago
Read 2 more answers
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