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3 years ago

Find the inverse of y=1/2x+6

Mathematics

1 answer:

Komok [63]3 years ago

3 0

Answer:

$y = 2x - 12$

Step-by-step explanation:

We want to find the inverse of

$y = \frac{1}{2}x + 6$

We interchange x and y.

$x = \frac{1}{2}y + 6$

We need to solve for y, so let us multiply through by 2.

$2x = y + 12$

Subtract 6 from both sides.

$y = 2x - 12$

Therefore the required inverse is

$y = 2x - 12$

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Use set builder notation to give a description of each of these sets. a) {0,3,6,9,12} b) {−3,−2,−1,0,1,2,3} c) {m,n,o,p}

attashe74 [19]

Answer:

$\left \{ 0,3,6,9,12 \right \}=\left \{ x;x=3n\,,\,n\,\varepsilon \,W ;\,\,n\leq 4\right \}\\\left \{ -3,-2,-1,0,1,2,3 \right \}=\left \{ x;x=\pm n;\,\,n=0,1,2,3 \right \}\\\left \{ m,n,o,p \right \}=\left \{ x;x \,\,is\,\,an\,\,alphabet\,\,after\,\,l\,\,and\,\,before\,\,q \right \}$

Step-by-step explanation:

The set is a well-defined collection of objects.

Set builder form describes the set by stating the property of each of its elements.

$\left \{ 0,3,6,9,12 \right \}=\left \{ x;x=3n\,,\,n\,\varepsilon \,W ;\,\,n\leq 4\right \}$

W is a set of whole numbers.

$\left \{ -3,-2,-1,0,1,2,3 \right \}=\left \{ x;x=\pm n;\,\,n=0,1,2,3 \right \}$

$\left \{ m,n,o,p \right \}=\left \{ x;x \,\,is\,\,an\,\,alphabet\,\,after\,\,l\,\,and\,\,before\,\,q \right \}$

7 0

3 years ago

Which equation is represented by the table

lyudmila [28]

Answer:

B. b = 3a + 2

Step-by-step explanation:

We can write the equation in slope-intercept form as b = ma + c, where,

m = slope/rate of change

c = y-intercept/initial value

✔️Find m using any two given pair of values, say (2, 8) and (4, 14):

Rate of change (m) = change in b/change in a

m = (14 - 8)/(4 - 2)

m = 6/2

m = 3

✔️Find c by substituting (a, b) = (2, 8) and m = 3 into b = ma + c. Thus:

8 = 3(2) + c

8 = 6 + c

8 - 6 = c

2 = c

c = 2

✔️Write the equation by substituting m = 3 and c = 2 into b = ma + c. Thus:

b = 3a + 2

4 0

3 years ago

Help me please!!!!!! giving out brainliest

vazorg [7]

Answer:

1 = 175ft cubed

2 = 58m cubed

3 = 140m cubed

4 = 180in cubed

Step-by-step explanation:

You have to split these complex shapes into parts and find the volume of each part. Then, add the parts' volumes together, which will be the total volume of these. The equation is V=bhw. V means volume, b means base, h means height, and w means width. Hope this helps!

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2 years ago

The lengths of the sides of a triangle are 2x+1, 3x-2, and 4x-5. what is the perimeter in terms of x

STALIN [3.7K]

Answer:

Step-by-step explanation:

2X + 1 + 3X - 2 + 4X - 5 = 180

9X - 6 = 180

9X = 174

9 = 174

ـــــــــــــــــــــ

9 9

X = 19.333

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3 years ago

A perfect score on a test with 25 questions is 100. Each question is worth the same number of points. How many points is each qu

vivado [14]

Answer:

Step-by-step explanation:

100 divided by 25 equals 4.

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2 years ago