Line g is dilated by a scale factor of 3 from the origin to create line g’. where are points e’ and f’ located after dilation , and how are lines g and g’ related?
the location of e’ and f’ are e’ (-4,0) and f’(0,2) and lines g and g’ are the same
the locations of e’ and f’ and e’ (-2,0) and f (0,1) and lines g and g’ intersect at point f
the locations ofe’ and f’ and e’ (-1,0) and f’ (0,0) and lines g and g’ are not related
the locations of e’ and f’ and e’ (-12,0) and f’(0,6) and lines g and g’ are parallel
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step-by-step explanation:

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places