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3 years ago

Write the equations after translating the graph of y = |x|: one unit up,

Mathematics

1 answer:

Natali5045456 [20]3 years ago

7 0

Answer:

y = | x | + 1

Step-by-step explanation:

Given y then y + c represents a vertical translation of y

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here the shift is 1 unit up, thus

y = | x | + 1

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Read 2 more answers

Solve the equation. (find x)

Irina-Kira [14]

Answer:

Step-by-step explanation:

$(x^2-3x+1)^{(2x^2+x-6)}=1\ we \ take \ the \ logarithm\\\\(2x^2+x-6)*ln(x^2-3x+1)=0\\\\(2x^2+x-6)=0\ or\ x^2-3x+1=1\\\\1)\\2x^2+x-6=0\\2x^2+4x-3x-6=0\\2x(x+2)-3(x+2)=0\\(x+2)(2x-3)\\x=-2\ or\ x=\dfrac{3}{2} \\\\2)\\x^2-3x=0\\x(x-3)=0\\x=0\ or\ x=3\\\\sol=\{-2,0,\dfrac{3}{2},3\}\\$

8 0

3 years ago

I need help with these two equations

Ivan

for these you need to rearrange the equations and do substitutions.

#3 = if x+y=5 then you know x = 5-y

now substitute that equation for x in the 2nd one so x + 2y = 8 becomes

5-y + 2y = 8 2y - y becomes 1y which becomes y then subtract 5 from each side to get y =3

now replace y with 3 in the first equation x = 5-3 so x = 2

so (2,3) is the answer

same type of work for #4

2x-y=6 ,S0 y = 2X+6

so now you have 4x+2(2x+6)=-4

that becomes 4x +4x+12 = -4

8x+8 = 1, x =1

y = 2(1)-6 = -4

so answer is (1,-4)

7 0

3 years ago