Algebraically solve the system of equations shown below. Note that you can use either factoring or the quadratic formula to find the X – coordinates, but the quadratic formula is probably easier.

Answers

Answer 1

Answer: $6x^2+19x-15=-12x+15\n6x^2+31x-30=0\n6x^2+36x-5x-30=0\n6x(x+6)-5(x+6)=0\n(6x-5)(x+6)=0\nx=(5)/(6) \vee x=-6\n\ny=-12\cdot(5)/(6) +15\vee y=-12\cdot(-6)+15\ny=-10 +15\vee y=72+15\ny=5 \vee y=87\n\nx=(5)/(6) \wedge y=5\nx=-6 \wedge y=87$

Answer 2

Answer: $y=6x^2+19x-15 \ny=-12x+15 \n \n6x^2+19x-15=-12x+15 \n6x^2+19x+12x-15-15=0 \n6x^2+31x-30=0 \n \n a=6 \n b=31 \n c=-30 \n \n x=(-b \pm √(b^2-4ac))/(2a)=(-31 \pm √(31^2-4 \cdot 6 \cdot (-30)))/(2 \cdot 6)=(-31 \pm √(1681))/(12)=(-31 \pm 41)/(12) \n x=(-31 -41)/(12) \ \hbox{or} \ x=(-31+41)/(12) \nx=-6 \ \hbox{or} \ x=(5)/(6)$

$y=-12 \cdot (-6)+15 \ \hbox{or} \ y=-12 \cdot (5)/(6)+15 \ny=87 \ \hbox{or} \ y=5 \n \n \hbox{the answer:} \n \boxed{x=-6, \ y=87} \ \hbox{or} \ \boxed{x=(5)/(6), \ y=5}$

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The larger nail is a dilation of the smaller nail.Select all statements that are true.

Answers

Answer: the scale factor is 3/4

Step-by-step explanation:

Answer:

whats the rest of the answer?

Step-by-step explanation:

What is the solution to the equation fraction 4 over 5 n minus fraction 3 over 5 equals fraction 1 over 5 n?n = 1

n = −3

n = fraction 3 over 4

n = fraction 1 over 4

Answers

If you would like to know the solution to the equation, you can calculate this using the following steps:

4/5n - 3/5 = 1/5n /*5n
4 - 3/5 * 5n = 1
4 - 3n = 1
4 - 1 = 3n
3 = 3n
n = 1

The correct result would be n = 1.

Answer:

n = 1

Step-by-step explanation:

Veronica earns an annual salary of $30,572 plus commission. she receives a 5% commission on sales of $3,675. what is her gross annual pay?

Answers

30,572 + 0.05(3675) = 30,572 + 183.75 = 30,755.75 <==

eronica earns an annual salary of $30,572 plus commission. She receives a 5% commission on sales of $3,675. What is her gross annual pay?

What is the probability of flipping a coin 8 times getting heads 4 times

Answers

1/2 because 8/4=2 so 2 means that there is two sides, so your answer is 1/2

1 out of 2 or 50% is the probability

what is the least number that must be added to 2000so that the sum is devided exactly by 10,12,16 and 18

Answers

Answer:

Number must be added = 160

Step-by-step explanation:

First we need to find LCM of 10,12,16 and 18.

LCM of 10,12,16 and 18 = 720

Let us write the multiplication table of 720

720, 1440, 2160, 2880 .................

We need to find the least number that must be added to 2000 so that the sum is divided exactly by 10,12,16 and 18 .

The number greater than 2000 is 2160.

Difference = 2160 - 2000 = 160

Number must be added = 160

10 = 2.5 ; 12 = 2².3 ; 126 = 2^4 ; 18 = 2.3²
the least common multiple is 2^4.5.3 = 240
then we have (2000 + x) = 240.k
2000 = 240.8 + 80 and 240.9 = 2160
then x = 160

The ratio of two numbers is 5 to 3. The sum of the numbers is 16. What are the numbers? 8 and 8 9 and 7 15 and 9 10 and 6