DS2011

Oh yes I did not see that A had to be positive.

We do not know the elevation of Boston going from a cafe to a boba shop, so we can not find the answer. Although, the 2 possible answers are:

(100 + 150) / 2 = 125 meters per hour, because if you go uphill or downhill, the same route in reverse is the other, ex if going downhill, the reverse is uphill.

120 meters per hour

It's 120 meters per hour or 125 meters per hour.

The equation of this line in the form y = mx + b is y = (1/2)x + 2, so we can do:

2y = x + 4

-x + 2y = 4

Answer: -x + 2y = 4

60 - 24 = 36, so we can divide 36 by 5 because we have to add a number 5 times, and we get 7.2, so the arithmetic sequance is growing by 7.2 each progressive term.

24, 24 + 7.2, 24 + 14.4, 24 + 21.6, 24 + 28.8, 60

a = 31.2

b = 38.4

c = 45.6

d = 52.8

a + b + c + d = 168

Answer: 168

We are adding by 7 for each progressive term, so we can subtract 97 by 13 and divide the amount by 7 and after add 1 because we have to count the first term as well to get the amount of integers.

[(97 - 13) / 7] + 1

(84 / 7) + 1

12 + 1

13

Answer: 13

For there to be 1 solution, the discriminant must be equal to 0, so b^2-4ac = 0

Simplify:

\(2x^2-x-jx+3=0\)

a = 2, b = -1, and c = 3

Pluggng a and c in, we get:

\(\sqrt{b^2-24}=0\)

This means that \(b^2 = 24\).

\(b=\pm \sqrt 24\)

\(b=\pm4.89\)

We already have -1, and we are subtracting j, so we have:

-1 - j = 4.89

-j = 5.89

j = -5.89

and,

-1 - j = -4.89

-j = -3.89

j = 3.89

the values of j are -5.89 and 3.89

Answer: -5.89, 3.89

It can not be a, because that is an exponential function, and the range gets exponentially larger as x gets larger. 

It can not be b, because a in a  parabola, there is a vertex, which means that there is a minimum or maximum value to y.

I haven't yet learned about logarithms, but I can assume that the range is not equal to the domain there.

It is d, because the range is eqqual to the domain, since y = x and y is the range and x is the domain.

Answer: D

My idea: Reflect triangle XYZ across line segment YZ, to form a square, which is possible because this is a 45 45 90 triangle where YZ is the hypotenuse. We can find the area of the semicircle by finding the area of the circle and then dividing it by 2.

The diameter of the circle will be 10 because it is inscriibed in the square of length 10, so the radius is 5.

using A = pir^2, we get 25 pi, or 12.5 pi for the semicircle.

We can approximate 12.5pi as 36.27

Answer: 12.5pi or 36.27

same amount of members, but the amount of wall is 4.8 times more, so 50 x 4.8 = 240 minutes

Answer: 240 minutes

                                                                                                           BLUE

                                                                                                             45

                                                                            White & Blue                               Blue & Green

                                                                                    18                                                28

                                                                                                White, Green, & Blue

                                                                                                               5

                                                                WHITE                         White & Green                       GREEN

                                                                   57                                       41                                      62

Sorry I could not find a good Venn Diagram maker and do it there to upload an image, but this is my best without taking a lot of time.

Just imagine circles around the WHITE, GREEN, and BLUE and the places where they intersect.