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SVETLANKA909090 [29]
3 years ago
10

Find the inverse function of h(x) = -2/3 x + 6.

Mathematics
1 answer:
Tatiana [17]3 years ago
7 0
Hello,
H^(-1)(x)=-3/2 x+9
Answer A
Indeed:

y=-2/3x+6-->x=-2/3 y +6 ==>3x=-2y+18==>2y=-3x+18==>y=-3/2 x +9
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Rewrite the equation of the parabola in vertex form. y= x2 + 8x - 21
sergey [27]

Answer:

y=(x+4)^{2}-37

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

if a> 0 then the parabola open upward (vertex is a minimum)

if a< 0 then the parabola open downward (vertex is a maximum)

In this problem we have

y=x^{2}+8x-21

Convert to vertex form

Complete the square

y+21=x^{2}+8x

y+21+16=(x^{2}+8x+16)

y+37=(x^{2}+8x+16)

y+37=(x+4)^{2}

y=(x+4)^{2}-37 --------> equation in vertex form

The vertex is the point (-4,-37)

the parabola open upward (vertex is a minimum)

4 0
2 years ago
Read 2 more answers
A 40­acre field produces 600 bushels of wheat. At the same rate, how many bushels will a 75­acre field produce? A)   5 bushels B
wariber [46]
Since 40 acres of land produces 600 bushels
so the bushels produced by 1 acres of land is 600/40=15
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4 0
3 years ago
Find the sum of the measures of the exterior angles of a convex 21-gon
rusak2 [61]
4140

21-2(180)=3420 3420/21=162.8571 etc. 360-162.9=197.1 197.1 times 21 is (4140)
8 0
3 years ago
What is 1/6+1/12=what does this equal?
zhuklara [117]
1/6 + 1/12 = 1/4 

If you need me to explain how I got the answer I am more than happy! 


I hope this helps!

7 0
3 years ago
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Can someone please help, ty!! (Will mark brainliest)
Ivanshal [37]

Answer:

i believe it may be light blue

Step-by-step explanation:

5 0
3 years ago
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