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Sunny_sXe [5.5K]
3 years ago
10

What set of ordered pairs represents y as a function of x?

Mathematics
1 answer:
rusak2 [61]3 years ago
3 0
The set {(1, 2), (2, -3), (3, 4), (4, -5)} represents y as a function of x
Question 2:
The best statement describes the relation is "The relation represents y as a function of x, because each value of x is associated with a single value of y" ⇒ 3rd answer
Question 4:
There are missing options so we can not find the correct answer
Question 5:
The sets {(1 , 1), (2 , 2), (2 , 3)} and {(1, 2), (1, 3), (1, 1)} do not represent y as a function of x ⇒ 1st and 4th answers
Step-by-step explanation:
The relation is a function if each value of x has ONLY one value of y
Ex: The set {(3 , 5) , (-2 , 1) , (4 , 3)} represents y as a function of x because x = 3 has only y = 5, x = -2 has only y = 1, x = 4 has only y = 3
The set {(4 , 5) , (-2 , 1) , (4 , 3)} does not represent y as a function of x because x = 4 has two values of y 5 and 3
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The answer that go in the box? Please help
saul85 [17]
Transaction 3 - $143
transaction 4 - $-86
transaction 5 - $86
3 0
2 years ago
The polynomial $f(x)$ has degree 3. If $f(-1) = 15$, $f(0)= 0$, $f(1) = -5$, and $f(2) = 12$, then what are the $x$-intercepts o
Alex_Xolod [135]

Your calculator's cubic regression function can tell you the equation is

... f(x) = 2x³ + 5x² -12x = x(x +4)(2x-3)

The x-intercepts are -4, 0, +1.5.

_____

If you want to solve this "by hand", you can first of all recognize that since there is an x-intercept at 0, the cubic will only have three coefficients. That is, you can write the equation as

... f(x) = ax³ + bx² + cx

Substituting the given points (except (0, 0)) gives three linear equations in a, b, c.

... -a +b -c = 15 . . . . . for x=-1

... a + b + c = -5 . . . . for x=1

... 8a +4b +2c = 12 . . for x=2

adding the first two equations gives 2b=10, or b=5. Now, you can reduce the system to

... a + c = -10

... 4a +c = -4

Subtracting the first of these equations from the second gives 3a=6, or a=2. That tells you c=-12 (from a+c=10).

Then your equation is

... f(x) = x(2x² +5x -12)

Factoring by any of the usual techniques, or graphing, or using the quadratic formula will tell you the zeros (x-intercepts) are as above.

_____

Since the input values are sequential, you can also develop the function from differences of the output values. Those are 15, 0, -5, 12. First differences are -15, -5, +17. Second differences are +10, +22. The third difference is 12. Using the first of these differences in appropriate places in the interpolating polynomial formula, we have

... f(x) = 15 + (x+1)(-15 + (x)/2·(10 + (x-1)/3·(12))) = 2x³ +5x² -12x . . . . as above

4 0
3 years ago
А
Ganezh [65]

Answer:

168 meters squared

Step-by-step explanation:

So we know that Jake walked from b to c and d meaning he didn't go from a to b, but we also know that scarlet walked a to b so to find the length we can subtract scarlet's walk by jake's walk or 38-31 which is 7.

So we know the length of one side is 7 so this means we have side a to b and c to d, but we still need to know b to c. So what we can do is get the length of a b c and d and isolate it so that we only have b to c. To do this we get the length of 7 and double it which is 14 and take it away from the 38m

38-14=24

so now we know that the side is 24 and we can solve for the area

24*7=168

so the answer is 168 meters squared

6 0
3 years ago
1
Sauron [17]

Answer:

Step-by-step explanation:

"Four times a number" in symbols is "4n."

6 0
3 years ago
Dishwashers are on sale for 25% off the original price (d), which can be expressed with the function p(d) = 0.75d. Local taxes a
shutvik [7]

We are given the functions:

<span>P (d) = 0.75 d                                      ---> 1</span>

<span>C (P) = 1.14 P                                      ---> 2</span>

The problem asks us to find for the final price after discount and taxes applied; therefore we have to find the composite function of the two given functions 1 and 2. To solve for composite function of the final price of the dishwasher with the discount and taxes applied, all we have to do is to plug in the value of P (d) with variable d into the equation of C (P). That is:

C (P) = 1.14 (0.75 d)

C (P) = 0.855 d

or

<span>C [P (d)] = 0.855 d</span>

8 0
3 years ago
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