Use the domain and range of each of the following relations to determine which is a function. A.) {(3, -3), (9, -6), (0, -9)}
B.) {(3, -3), (9, -6), (3, -9)}
C.) {(3, -3), (9, -6), (9, 2), (0, -9)}
D.) {3,9,0,-4}

Answers

Answer 1

Answer:

Answer:

The function is expressed by answer A

Step-by-step explanation:

A function is a mathematical expression in which, for an independent variable , usually called x, we obtain one and only one value after applying the function, usually known as the dependent variable y.

D is not a function as we do not have two corresponding values or coordinate pairs. We only have a list of numbers

In C, B and A we have pairs of coordinate values expressed as (x,y) the independent and dependent variable.

In expression B, we see that the for the value of x=3 in ponts 1 (3.-3) and (3.-9) , the value 3 has two resulting values of y , -3 and -9, so this coordinates do not represent a function.

In option C, occurs something similar in this case with x =9. x=9 has two values in y : y=-6 and y= 2 so these points do not define a function

In A each x value (3.9.0) has a unique avlue of y (-3,-6,-9) so this is a function.

Answer 2

Answer: the answer js A. the first one

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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

Please help. Due soon.

Answers

The function represents exponential growth (since the exponent is positive).

The percentage increase is, if I'm not mistaken, 181.3% (since 710 is just a constant, we don't need to worry about that - it won't affect the growth rate of the function)

Solve the equation by completing the square. Round to the nearest tenth.x^2 + 8x = 10

A. 1.1, 9.1
B. 1.1, -9.1
c. -1.1, 9.1
D. -1.1, -9.1

Answers

B.
1.1, -9.1

$x^(2) +8x=10$

Answer: The correct option is (B) 1.1, -9.1.

Step-by-step explanation: We are given to solve the following quadratic equation by the method of completing the square.

$x^2+8x=10~~~~~~~~~~~~~~~~(i)$

In completing the square method, we need to make left hand side of the above given equation as a perfect square trinomial.

From equation (i), we have

$x^2+8x=10\n\n\Rightarrow x^2+2* x* 4+4^2=10+4^2\n\n\Rightarrow (x+4)^2=10+16\n\n\Rightarrow (x+4)^2=26\n\n\Rightarrow x+4=\pm√(26)\n\n\Rightarrow x=-4\pm √(26)\n\n\Rightarrow x=-4\pm 5.09\n\n\Rightarrow x=-4+5.09,~~~~~x=-4-5.09\n\n\Rightarrow x=1.09,~~~~~~~~~\Rightarrow x=-9.09.$

Rounding to the nearest tenth, we get

$x=1.1,~~-9.1.$

Thus, the required solution is x = 1.1, -9.1.

Option (B) is CORRECT.

Janice bought juice packets for the 15 players on the soccer team The juice packets come in boxes of 6 How many boxes did Janice buy?

Answers

Answer:

3 boxes.

Step-by-step explanation:

We are told that Janice bought juice packets for the 15 players on the soccer team. The juice packets come in boxes of 6.

To find the number of boxes that Janice need to buy for 25 players, we will divide 15 by 6.

$\text{Number of boxes that Janice needs to buy}=(15)/(6)$

$\text{Number of boxes that Janice needs to buy}=2.5$

Since the juice packets come in boxes of 6, so we will round our answer to nearest whole number.

$\text{Number of boxes that Janice needs to buy}=2.5\approx 3$

Therefore, Janice will buy 3 boxes of juice packets for 15 players.

Final answer:

The question entails a simple division operation of 15 players divided by 6 juice packets per box which gives 2.5. However, since Janice can't buy half a box, she ends up buying 3 boxes of juice packets.

Explanation:

To answer your question, we need to perform a simple division arithmetic operation. This involves taking the total number of players which is 15 and dividing that by the number of juice packets in one box, which is 6 . The calculation is as follows: 15 ÷ 6 = 2.5. However, Janice cannot purchase half of a box so she would need to round up to the nearest whole number. Hence, Janice bought 3 boxes of juice packets for the soccer team.

Learn more about Division operation here:

brainly.com/question/12984208

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What is the solution set of |–x| = –10?

Answers

Answer:

No solution

Step-by-step explanation:

Anything that is in the Absolute value will always be a positive value

Express the polynomial 2m^2-3+7m in standard form

Answers

standard form is basically ordering it in order of decreasing powers, left to right, largest to biggest

powers of the placeholder, not of constants
we see we have 2nd degree and 1st
2>1
2m^2 then 7m^1 then -3m^0 or
2m^2+7m-3

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