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Katarina [22]
2 years ago
14

Solve for all values of y in simplest form. ∣y−12∣=16

Mathematics
1 answer:
Reil [10]2 years ago
5 0

Answer:

y=-4; y=28

Step-by-step explanation:

The way I like to think about it, with absolute value meaning the distance is

"find which number are 16 apart from 12". Which means 28 (to the right) or -4 (to the left).

More formally, applying the definition of absolute value,

|y-12|=16 \leftrightarrow y-12=\pm16\\y-12=-16 \rightarrow y=-4\\y-12=+16 \rightarrow y=28

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3 years ago
Graph the parobola. y=4x^2-7
Charra [1.4K]

Answer:

Step-by-step explanation:

y=4x^2-7

vertex(0,-7)

7 0
3 years ago
Differentiate x^2/4-x^3​
Ede4ka [16]

Answer:

  x^4 + 8x          

  -----------------

    (4-x^3)^2

Step-by-step explanation:

d /dx  (x^2/(4-x^3)​)

When we differentiate a fraction u/v

df/dx = u/v

         =  v du/dx-u dv/dx

           ---------------------------

                         v^2

we know u = x^2   so du/dx = 2x

               v = (4-x^3)  so dv/dx = -3x^2

d dx =   (4-x^3) (2x)- x^2 ( -3x^2)

           -------------------------------------

                   (4-x^3)^2

Combining terms

           (8x-2x^4) --3x^4

           -------------------------------------

                   (4-x^3)^2

           8x-2x^4 +3x^4

           -------------------------------------

                   (4-x^3)^2

             x^4 + 8x          

           -------------------------------------

                   (4-x^3)^2

8 0
3 years ago
Pleasee anwser fast!!
KIM [24]

Answer:

its 4 bv 1x4 is 4 4x4 is 16 and 16x4 is 64! goodluck!

6 0
3 years ago
One tank is filling at a rate of 4/5 gallon per 1/2 minute. A second tank is filling at a rate of 7/8 gallon per 1/2 minute. Whi
telo118 [61]

Answer:

The second tank.

Step-by-step explanation:

Since both filling up at the same rate, all you would have to do is multiply the gallons.

4/5 multiplying top and bottom by 8 is 32/40

7/8 multiplying top and bottom by 5 is 35/40

8 0
3 years ago
Read 2 more answers
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