Choose the equivalent system of linear equations that will produce the same solution as the one given below.6x + 2y = −6
3x − 4y = −18

12x + 4y = −12
15x = −30
8x + 4y = −4
14x = −10
6x − 8y = −36
−6y = −42
6x − y = −15
3y = 9

Answers

Answer 1

Answer: The given system of equation:
$6x+2y=-6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |* 2 \n3x-4y=-18 \n \n12x+4y=-12 \n\underline{3x-4y=-18 \ \ } \n15x=-30 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 15 \nx=-2 \n \n3x-4y=-18 \n3 * (-2)-4y=-18 \n-6-4y=-18 \ \ \ \ \ \ \ \ \ \ \ \ |+6 \n-4y=-12 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ (-4) \ny=3 \n \n(x,y)=(-2,3)$

Answer options:
1.
$12x+4y=-12 \n15x=-30 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 15 \n \n12x+4y=-12 \nx=-2 \n \n12 * (-2)+4y=-12 \n-24+4y=-12 \ \ \ \ \ \ \ \ \ \ |+24 \n4y=12 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 4 \ny=3 \n \n(x,y)=(-2,3) \n\hbox{the same solution}$

2.
$8x+4y=-4 \n14x=-10 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 14 \n \n8x+4y=-4 \nx=-(10)/(14)=-(5)/(7) \n \nx=-(5)/(7) \not= -2 \n\hbox{not the same solution}$

3.
$6x-8y=-36 \n-6y=-42 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ (-6) \n \n6x-8y=-36 \ny=7 \n \ny=7 \not= 3 \n\hbox{not the same solution}$

4.
$6x-y=-15 \n3y=9 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 3 \n \n6x-y=-15 \ny=3 \n \n6x-3=-15 \ \ \ \ \ \ \ \ \ |+3 \n6x=-12 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 6 \nx=-2 \n \n(x,y)=(-2,3) \n\hbox{the same solution}$

The equivalent systems of equations are 1 and 4:
12x+4y=-12
15x=-30
and
6x-y=-15
3y=9

Answer 2

Answer:

Answer:12x+4y=-12

15x=-30

Step-by-step explanation:

just took the test and had to use the answer below to get it right but they got to answers :// thats dumb but theres the answer start forward

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Answers

The slope $m$ and a point $(x_(0),\;y_(0))$ that the line goes through, give us a equation for the line:

$y-y_(0)=m\cdot (x-x_(0))\n\n y-2=(5)/(8)\cdot (x-8)\n\n\n y-2=(5)/(8)\,x-(5)/(8)\cdot 8\n\n\n y-2=(5)/(8)\,x-5\n\n\n y=(5)/(8)\,x-5+2\n\n\n \boxed{\begin{array}{c} y=(5)/(8)\,x-3 \end{array}}$

Which is true about the polynomial –3xy2 + 5x2y?It is a binomial with a degree of 2.
It is a binomial with a degree of 3.
It is a trinomial with a degree of 2.
It is a trinomial with a degree of 3.

Answers

Answer: B. it is a binomial with a degree of 3

Step-by-step explanation:

3xy² + 5x²y

There are two terms so it is a BINOMIAL

xy² has a degree of 1 + 2 = 3

x²y has a degree of 2 + 1 = 3

The largest sum of exponents in a term is three so DEGREE is 3

The true statement about the polynomial is (a) It is a binomial with a degree of 2.

What are polynomials?

Polynomials are algebraic expressions that are represented by terms and factors

The polynomial is given as:

$-3xy^2 + 5x^2y$

The above polynomial has two terms; so it is a binomial

The highest power of the polynomial is 2; so it has a degree of 2

Hence, the true statement about the polynomial is (a) It is a binomial with a degree of 2.

Answers

Answer:

29.03 cm

Step-by-step explanation:

Step one:

given

A rectangular block of metal is

25cm long

11cm wide and

9cm high.

The volume of the block is

= 25*11*9

= 2475cm^3

Required

The dimension of an equivalent cube

we know that volume of cube

v=l^3

24475=l^3

cube root both sides

l= ∛24475

l= 29.03 cm

Answer:

13.5cm

Step-by-step explanation:

Tried the other answer and got it wrong and saw the right one.

What is the least common mulitple of 12,48,and 96

Answers

Answer:

Step-by-step explanation:

LCM of 12,48 and 96 is 96

Answer:

Step-by-step explanation:

12/2= 6

48/2= 14

96/2=48

The total operating cost for the truck is $400 000 per year. The percentage breakdown of this total amount was:40%: Fixed costs (insurance, registration, wages)
30%: Fuel
20%: Finance
10%: Maintenance (service, repairs, tyres)

Suppose the fuel price increases from $1.50 to $1.60 per litre.

How much does this add to the total operating cost per year?

Answers

30% x 400,000 = 120,000
1.5 -> 1.6 = 6.6666667% increase.

120,000 x 1.06666667 = 128,000

Therefore the new operating cost is 128,000 + 280,000 or $408,000.

How do I do a,b,c, and d?