Mathematics, 29.01.2020 06:53 evanmc627

Ineed some on this asap .

the table shows the outputs y for different inputs x:

input
(x)
5 6 7 8

output
(y)
2 5 8 11

part a: do the data in this table represent a function? justify your answer.
part b: compare the data in the table with the relation f(x) = 2x + 13. which relation has a greater value when x = 7?
part c: using the relation in part b, what is the value of x if f(x) = 75?

Answers: 2

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Answers

Answer from: dshood2298

Part A: In the given problem we have given values of x and values of y.

Part B: f(x) = 2x + 13 has greater value at x= 7

Part C: The value of x is 31.

One key point to observe is that for each x there is a unique y hence the given data belongs to a function but the equation of this function is not known.

Let us fit a line into the given data of x and y which can be given by the formula:

${y-y_1} = ((y_2-y_1)}/{(x_2-x_1)}) \times (x-x_1})$ ....(1)

Putting the values from data in equation (1)

we get y-2= ((5-2)/(6-5)) (x-5)

(Taking first two points for instance)

y-2 = 3( x- 5) y= 3x-13 ....(2)

Part B : Another function is given in the question is

f(x) = 2x +13 ....(3)

Now, we can find out the values of equation (2) and equation (3) for x= 7.

Putting in equation (2) we can get y(7) = 21-13 = 8.

Similarly,

f(7) = 2 $\times$ 7 + 13 f(7) = 14 +13 = 27

so we can conclude that equation (3) has a greater value at x =7.

Part C :

Using the relation that is concluded in Part B

75 = 2x +13

75-13= 2x

62 = 2x

x = 31

Thus, the value of x is 31.

For more information please refer to the link below:

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Answer from: kelsey152

A. yes...it is a function because there is no repeating x values.
B. (5,2)(6,5)...slope = (5 - 2) / (6 - 5) = 3
y = mx + b
slope(m) = 3
(5,2)...x = 5 and y = 2
now we sub
2 = 3(5) + b
2 = 15 + b
2 - 15 = b
-13 = b
so the equation is : y = 3x - 13
when x = 7
y = 3(7) - 13y = 21 - 13y = 8

f(x) = 2x + 13...when x = 7
f(7) = 2(7) + 13...f(7) = 14 + 13f(7) = 27

the function has a greater value

C. f(x) = 2x + 13when f(x) = 75
75 = 2x + 13
75 - 13 = 2x
62 = 2x
62/2 = x
31 = x

Answer from: Quest

ummm seems that u didnt post the attachement !

Answer from: Quest

x² + 3x + 7 = 0 [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

$x = \frac{-b+/-\sqrt{b^2-4ac} }{2a}$ (+/- is this ±)

plug in the numbers into the variables

$x = \frac{-3+/-\sqrt{3^2-4(1)(7)} }{2(1)}$

$x=\frac{-3+/-\sqrt{9-28} }{2}$

$x=\frac{-3+/-\sqrt{-19} }{2}$

your answer is a

What is the solution to this equation? x^2+3x+7=0

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