Given the function g(x) = -3x + 4, compare and contrast g(-2) and g(4). choose the statement that is true concerning these two values.
a. the value of g(-2) is smaller than the value of g(4).
b. the value of g(-2) is the same as the value of g(4).
c. the values of g(-2) and g(4) cannot be compared.
d. the value of g(-2) is larger than the value of g(4).

D. The value of g(-2) is larger than the value of g(4).

Step-by-step explanation:

Given : Given the function g(x) = -3x + 4, compare and contrast g(-2) and g(4).

To find : Choose the statement that is true concerning these two values.

Solution : We have given that

g(x) = -3x + 4

g (-2) = -3 ( -2) + 4.

g (-2) = 6 + 4

g (-2) = 10 .

Now,

g (4) = -3 ( 4) + 4.

g (4) = -12 +4 .

g (4) = -8.

g (-2) > g (4)

10 > -8 .

Therefore, D. The value of g(-2) is larger than the value of g(4).

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

answ5

step-by-step explanation:

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