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alekssr [168]
2 years ago
9

Find the equation of the linear function represented by the table below in slope-

Mathematics
1 answer:
Vsevolod [243]2 years ago
3 0

Answer:

y = -2x-5

Step-by-step explanation:

So to calculate the slope the equation is y1-y2/x1-x2. We substitute in two points, let's use (-3,1) as x1 and y1, and (1,-7) as x2 and y2. Put those points in the equation and you get -7-1/1-(-3), which is -2. Now you have y=-2x+b

To get b plug in a pair of points to the equations, say (1,-7). -7=-2(1)+b, solve that and you get b=-5.

So y=-2x-5.

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Please answer quickly
scZoUnD [109]

f(x)=(x+a)/b

or bf(x)=x+a

let f(x)=y

by=x+a

flip x and y

bx=y+a

or y=bx-a

or f^{-1}(x)=bx-a

also g(x) is inverse of f(x)

bx-a=cx-d

so b=c,a=d

again let g(x)=y

y=cx-d

flip x and y

x=cy-d

cy=x+d

y=(x+d)/c

or g^{-1}(x)=(x+d)/c

also f(x) is inverse of g(x)

so (x+a)/b=(x+d)/c

so a=d,b=c

so in either case a=d,b=c

take b=c=1

a=d=2

f(x)=(x+2)/1=x+2

g(x)=1x-2=x-2

so f(x) and g(x) are two parallel lines f(x) with y- intercept=1 and slope 0

g(x) with y-intercept -2 and slope 0

if we take b=c=2,a=d=3

f(x)=(x+3)/2=x/2+3/2

g(x)=2x-3

here f(x) is of slope 1/2 and y-intercept 3/2

g(x) is of slope 2 and y intercept -3

part 3.

f(f(x))=g((x+a)/b)=c[(x+a)/b]-d=(c/b)(x+a)-d

5 0
2 years ago
Solve the equation n2 − 29 = 260 by using square roots.
umka2103 [35]

Answer:

Option A, n = ± 17

Step-by-step explanation:

<u>Step 1:  Add 29 to both sides</u>

n^2 - 29 = 260

n^2 - 29 + 29 = 260 + 29

n^2 = 289

<u>Step 2:  Square root both sides</u>

\sqrt{n^2} = \sqrt{289}

n = ± 17

Answer:  Option A, n = ± 17

4 0
2 years ago
Is ratio 4.2:1.5 proportional to 12.6:4.5
Gennadij [26K]
If we divide 12.6/4.5 by 3 we receive 4.2/1.5. So yes they are proportional. <span />
5 0
3 years ago
In the garden, the ratio of roses to daisies is 1:3. There are 8 roses. How many daisies are there.
ivann1987 [24]
24 daises is the answer because if there is 8 roses and the ratio is 1:3 then you would multiply 8 by 3 to solve.
6 0
3 years ago
10PTS PLEASE HELP!!!!!!!
Nostrana [21]

The equation of a circle:

(x-h)^2+(y-k)^2=r^2

(h, k) - a coordinates of the center

r - a radius

A diameter d = 2r

We have

x^2+(y-2)^2=100\to r^2=100\to r=\sqrt{100}\to r=10

Answer: d = 2 · 10 = 20

6 0
3 years ago
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