Find the solution of this system of two linear equations using substitution 11x+3y=103 and y =3x+1

Answers

Answer 1

Answer: 11x+3y=103 and y=3x+1.

11x+3(3x+1)=103 -----> plug in (3x+1) for y in the first equation. You will want to distribute the 3 to the 3x+1 to get something that looks like:

11x+9x+3=103 ------> now you want to combine like terms

20x+3=103 ---> subtract 3 from both sides
20x=100 ----> divide both sides by 20
x=5

y=3(5)+1 ---> I like to plug in this to the equation that already has y isolated. 3*5 is 15, add 1 and you find that y=16.

(5, 16) will be your final answer (:

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Without drawing the graph of the equation, determine how many points the parabola has in common with the x-axis and whether its vertex lies above, on, or below the x-axis. y = 3x2 – 12x + 12

Answers

We are given with th equation y = 3x2 – 12x + 12. In this respect, we expect that this is a parabola and that the vertex does not lie on (0,0). Since the power or degree is 2, it is expected that per value of y, there are two equivalent x's in the plot. You can verify it in the graph.

Answer:

The answer is, 1 point in common; vertex on x-axis

The sales tax is 6% and the item is $110.00. How much do I add for sales tax?

Answers

$6.60

6% of $110 is 33/5
Which when divided is 6.6
And in dollars it is $6.60

Someone Pliz help me

Answers

Answer:

midpoint= (1,1)

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

Rachel deposits $100 in a bank account and she gets 8% simple interest on it. Which linear model gives the return on her investment in terms of time t in years?a. R = 8t – 100
b. R = 8t + 100
c. R = 2t + 100
d. R = 88t + 100
e. R = 3t + 108

Answers

The answer would be B because the 100 stays in there and you are adding 8% per year. Hope this helps.

6(7a-10) how do I solve this

Answers

$6(7a-10) \n \n 6 * 7a + 6 * -10 \ / \ distribute \n \n 42a + 6 * -10 \ / \ simplify \n \n 42a + -60 \ / \ simplify \n \n 42a - 60 \ / \ simplify \n \n Answer: \fbox {42a - 60}$

solve the brackets, to do that you should multiply the numbers inside the bracket with the first number outside and in the right to the brackets.so,

6(7a-10)= 42a-60
hence the answer is, 42a-60

Vector has 4 orange poxks for every 3 green picks. If 8 of the picks are orange, how many picks are green?

Answers

6 green picks would be there

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