PLEASE HELP I ONLY HAVE 10 minutes In Mr. Forester's science class,
students are given five tests in a
semester. Latoya's scores on the first
four tests are 86%, 82%, 91%, and
98%. If Latoya's score on the final
test is represented by x, then her
class average y can be found using
the equation below.
y =
86% + 82% + 91% + 98% + x
5
Mr. Forester awards an "A" to any
student whose class average falls
within the 90 - 100% range. Which
interval represents the domain of final
test scores that Latoya can get and
still receive an "A"?
F [90%, 100%]
G [87%, 100%]
H [93%, 100%]
[96%, 100%]

The answer is "H [93%, 100%]"

Step-by-step explanation:

I'll edit this in a second to show the process, but it may take a minute. Just have the answer for now.

This is a surprisingly useful question hah, I'll bet many will need to do this.

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.

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation: