(note: I had to edit several times for the diagram further below to line up right. Spacings in the editor do no equal spacings in the display) the equation of the ellipse is: x/a2 + y/b2 = 1 so we need to find the values of: a...
(note: I had to edit several times for the diagram further below to line up right. Spacings in the editor do no equal spacings in the display) the equation of the ellipse is: x/a2 + y/b2 = 1 so we need to find the values of: a...
** CAREFUL, since all the numbers are in 1000's (example: 7,268 (1000's) = 7,268,000) we will leave the numbers in units of 1000's the average RATE of change is just the total CHANGE divided by the total time so from 1900 to 2000 the time...
First assign a letter to each purchased item. The value we find for each variable is $ spent. D = DVD C = Clothes P = paperback novels T = Total spent = $153 = D + C + P ---------------------------------------- but we know...
An ellipse is in the form X2/A2 + Y2/B2 = 1 (for A>B) where A is the semi-major axis (1/2 width of ellipse) and B is the semi-minor axis (1/2 height of ellipse) (for A<B) where A is the semi-minor...
Percents are just numbers divided by 100, or just move decimal two places left. So 22.5% is 22.5/100 or 0.225. 80 students x 0.225 = 18 students withdrew. leaving 62 remaining. (62 = 80-18)
A percent is just that number divided by 100. The same as moving the decimal point left 2 spaces. So 8.9% is 8.9/100 or 0.089. So we just multiply the $106 x 0.089 = 9.434 or to nearest cent the tax was $9.43
x = -3 3x – 4y = -37 Well, they already give you one answer, x = -3, so just substitute (plug in) the 2nd eqn. 3(-3) - 4y = -37 -9 -4y = -37 -4y = -37 + 9 = -28 (add 9 to each side, now solve for y) -4y = -28 y = -28/-4...
Let B= number of Buses C = number of cars 45 students per Bus 5 students per Car so we can write the equation: 45B + 5C = 285 ...
SET UP YOUR EQUATIONS FROM THE TWO PIECES OF GIVEN INFORMATION X = one number Y = 2nd number the sum is 27, so we write X + Y = 27 also we know, one number is 3 more than the 2nd number X = 3 + Y ...
C = Charlene's age (B+A) = sum of Betty and Ashley's ages we have two unknowns, C and (B+A) and two givens 1st given: 1) C = 16 + (B+A) 2nd given: 2)...
a) perpendicular bisector will go through the mid point of the given line segment, to be perpendicular it will have SLOPE = negative reciprocal slope of PQ line segment is from P(-3,1) to Q(1,9). it has a mid-pt of (X1 + X2)/2, (Y1...
S = Soybean (lbs) C = Corn (lbs) multiply each amount of soybeans and corn times the ratio of protein that will then equal the total amount times the desired ratio of protein (=0.10) 1) S*0.18 + C*0.09 = 360*0.10 ...
If we use the quadratic equation to solve for the roots, which is [ -b ± √(b² - 4ac) ] / 2a so, for your eqn f(x) = -7x2 + 9x + 5 a = -7 b = 9 c = 5 substituting, we get -9 ± √[9² - 4(-7)(5) ]...
for f(x) = (x + 4)2 or f(x) = 2x + 8 remember! to shift a fctn in the X direction A units, use f(x-A) For A>0, shifts the fctn right, For A<0, shifts the fctn to the LEFT so to shift right...
t is the time since 2010, so the population prediction for 2015 is: P = 300(2015-2010) + 7,000 P = 300(5) + 7,000 = 8,500 the number of restaurants prediction for 2015 is: R = 4(2015-2010) + 25 R = 4(5) +...
We know 2 facts from the problem 1) The total number of coins (nickels + quarters) = 46 2) the number of quarters x 25 cents + number of nickels x 5 cents should = $6.70 We can write these 2 facts as equations: Q = no. of Quarters ...
1) find your largest denominator (in this case 8), and use multiples of that number, starting with 1. use: 8 (= 8 x 1) 2) do all other denominators (3,4,6) divide evenly into 8). NO. 3 and 6 don't go...
(P = perimeter, w = width, L = length, * is multiply) given: P = 127.4 (total perimeter) P = 2*w + 2*L (rectangle 4 sides, 2 * width + 2 * Length) L = 1.6*w (length is 1.6...