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Answers by Alex S.

Slope of the line is (25.5-15)/(6-3) = 10.5/3 = 3.5 plugging the first coordinates, calculate the y-intercept, as 15=3.5*3+y-intercept ... Y-intercet is 4.5 ... So the equation is y=3.5*x+4.5   check using second set of coordinates: 6*3.5+4.5=25.5 ... Correct!

A word problem (answer)

Add the two functions, coming up with 59t+2635

Try 987, 986 ... 876, 875 ... Etc ... Many answers!!

possibilities of pants * possibilities of shirts * ...   6*4*4*8 = 768

no, it is perpendicular ... parallel means the two lines have the same slope (multiplier of x); perpendicular means the two slopes are negative inverse of each other (when multiplied together, the product is -1).  Since -1/2 * 2 = -1, the two lines are perpendicular.

y=11/20x+intercept 8=11/20*10+intercept 8=5.5+intercept ... so, intercept = 2.5   y=11/20x+5/2

8.8 (or 8 and 8/10) - 7 = 1.8 (or, 1 and 8/10)

4z + (-5z) (answer)

combile the two coefficients of z ... z*(4-5), or -z

parallel lines have the same slop; perpendicular lines have slopes which are the negative inverse of each other, ie, when multiplied together the result is -1.   slope of y=3x+8 is 3 slope of y=-3x+4 is -3   The two lines are neither parallel nor perpendicular...

Logarithmic help (answer)

Value (V) after n years is original value (35,000) times 1- depreciation (.2), to the nth power ... V=35000*(0.8)^n   Now solve 5000=35000*0.8^n ... log 1/7=n*log (.8) ... can you do that?

You could think of it as y=-3x+25 ... does that give more meaning to you, expressing it in the typical x/y linear equation fashion???

Study what was covered in class!!!!!!!!!!!   In 8th grade, you might be taking a variety of math classes (pre-algebra, algebra, geometry) ... they might be honors, or not ... study that with which you are least comnfortable????

the answer is C, 6:  for the first period, 3 choices; 2nd period, 2; last, or third, period, only one possibility left .. so, 3*2*1 (or 3!, 3 factorial0) is 6.

Each position is independent, in the absence of any other position, so ...   the probability of chocolate is .6 and vanilla is .4

X is time spent at 15 km/hr y is time spent at 18 km/hr   x+y=8 15x+18y=136   15x+18*(8-x)=136 15x+144-18x=136 3x=8 x=8/3 hr = 2 hr 40 min y=5 hr 20 min

A.-  cos positive, sin positive (since cot is positive) ... In 1st quadrant b.-  sin positive, cos positive (since 1/cos positive, therefore cos positive) ... 1st quadrant, again

Final velocity =0 initial velocity = 75 acceleration = (initial velocity - final velocity) / time time = 5 (75-0)/5 = 15

It is 108-10x-y.     2008-1900 = 108

The remainder (using 1 as 100% of the entire house) is 1-3/5-2/7 1-21/35-10/35 1-31/35 35/35-31/35 4/35

See answer provided by Richard P, as modified with my comment ... yes, the answer (minimum slope) is -2.

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