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Sati [7]
3 years ago
13

The ordered pairs (6, 8), (9,12),(x, 20),(18,y) represent a proportional relationship. find the value of x and y. (choose two an

swers)
a. x=8
b. x=12
c. x=15

a. y=21
b. y=24
c. y=28
Mathematics
1 answer:
Reil [10]3 years ago
8 0

Answer:

  • We have two points so let's use them effectively
  • We know that the x changes by 3 and the y changes by 4
  • Hence to get to y=20 we moved 2 times (8 units) so it's 9+ 3 + 3= 15
  • So x= 15
  • Now for y We have an x= 18, from 9 we moved 9 units of 3 total intervals: 4+4+4+12= 24
  • y=24
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Graph the inverse of the function.
Ghella [55]

Answer:

The graph of the inverse function is the same that the graph of the original function

Step-by-step explanation:

step 1

Find the equation of the function in the graph

Let

f(x) ---> the function in the graph

we know that

Is a linear function

take the points (0,6) and (6,0)

<em>Find the slope of the linear function</em>

m=(0-6)/(6-0)\\m=-1

<em>Find the the equation of the linear function in slope intercept form</em>

f(x)=mx+b

we have

m=-1

b=6 ---> the y-intercept is given

substitute

f(x)=-x+6

step 2

Find the inverse of the function f(x)

Let

y=f(x)

y=-x+6

<em>Exchange the variables (x for y and y for x)</em>

x=-y+6

Isolate the variable y

y=-x+6

Let

f^{-1}(x)=y

f^{-1}(x)=-x+6

f^{-1}(x)=f(x)

In this problem the graph of the inverse function is the same that the graph of the original function

4 0
3 years ago
Insert the “equal” sign or the “not equal” sign (= or #) to make each statement true.
dexar [7]

a.18/36#12

b.13/15#1140

8 0
3 years ago
Which equation is equivalent to x^2 - 16x + 49 = 0?
goblinko [34]
Subtract 49 by its negative so now
x^2-16x=-49
then move -16 so
x^2=-49+16x
then add -49 and 16 so then you get
X^2+your answer)
then find the square root because this was in exponential form so find the square root of x^2 and of your answer so
X= Your answer
 do the work
3 0
3 years ago
Find the solutions to the equation below.<br> Check all that apply.<br> x2 - 4 = 0
Gennadij [26K]

Answer:

2

Step-by-step explanation:

First you add 4 to both sides and get

2x=4

then you divide by 2 and get

4/2=x

4/2=2

x=2

8 0
3 years ago
Read 2 more answers
Find the area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2). A. 24 square units B. 12 squa
melomori [17]

Check the picture below.

you can pretty much count the units off the grid.

recall area of a rectangle is simply width*height.

8 0
3 years ago
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