2x-y and 7y= -7 +3x solve by substitution

x = -7/11, y = -14/11

Step-by-step explanation:

2x = y (1)

7y = -7+3x (2)

from (1)

2x = y

y = 2x (3)

substitute (3) into (2)

7y = -7+3x

7(2x) = -7+3x

14x = -7+3x

14x-3x = -7

11x = -7

x = -7/11

substitute x = -7/11 into (3)

y = 2x

y = 2(-7/11)

y = -14/11

x = -7/11, y = -14/11

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752