Either (2x+1) is negative Or (2x+1) is positive 2x+1<0 2x+1>0 2x<-1...
Either (2x+1) is negative Or (2x+1) is positive 2x+1<0 2x+1>0 2x<-1...
You can distribute or use FOIL (First, Outer, Inner Last) x + 2 x + 2 2x + 4 x2+2x x2 +4x +4 answer (x...
Slope is change in y over change in x. Look at the two points; P1 has a y-value of -4 P2 has a y-value of +4 The change in y is 8 units! Think: what's the difference between -4 and +4? Or, thing what's the distance on the number...
Intercept is like intersection; the point where streets cross, or where lines cross. The axes are lines also. The x- intercept is the value of x in the point (x,0) The y- intercept is the value of y in that point (0,y) Think about what...
Isosceles right triangle has area 5400 sq ft Sides are in the ratio 1:1:√2 Let x be the length of a side. The altitude is x√3 5400 = ½ (x)(x√3) 2700/(√3
Circular Pizza had 14 in diameter or 7 in radius Area = π (7)2 = 153.93 sq in 30.8 sq/in is how much each of the 5 people get
Use a Venn diagram One circle is labeled cars with automatic transmissions, the other circle is labeled cars with bucket seats. the region common to both circles is called the intersection. Let x be the number of cars in the intersection 34-x=12 x=22 So...
Let l be the longer leg, then the shortest leg will be l-1 Use the Pythagorean Theorem: the hypotenuse of a right triangle equals the sum of the sides squared l2 + (l-1)2 = (l +1)2 l2 + l2 - 2l +1...
Let w be the width Then the length is 3w -13 A +(3w-13)W 56=3w2 -13w 0=3w2 -13w -56 0= (3w +8 )(w-7) w-7 =0 0r 3w +8=0 w=7 ...
Let c be the cost of a cheeseburger, and l be the cost of a cup of lemonade in dollars. 3c+2l = 14 Multiply each term by 2 6c+4l = 28 2c +4l = 12 Multiply each term by (-3) ...
x2 +3x -10
Let x be miles driven, and y be cost y1=50 +.25x Rapid Rental cost per mile y2=45 +.35x Capital cost per mile The cost will be the same when x has what value? 50 +.25x = 45 + .35x .5x = 5 x= 10 If customer drives 10 miles the...
Slope of a line is change in y value over change in x value for ANY two points on the line. [(13)-1]/[(-15)-(-13)] numerator is 12, denominator is -2 The fraction is 12/(-2) We usually find slope is easier to work with if it reduced and...
(18,48.03 and (24,y) will be points on the graph; solve for y slope = (y1-y2)/(x1-x2) 1.35 = (y-48.03)/(24-18) 8.1=y-48.03 y=56.13 Since values of y represent the HCF, and x values of x represent the cost in dollars, when the family uses 24 HCF, the cost...
All Reals
3n -21 +4n+8 Distributive Property 7n-13 Combine like terms
Use a Venn diagram to make it clear! There are 987 students, 45 are taking economics, and 54 are taking statistics. The circle labeled statistics has has 54 students, the circle labeled economics has has 45 students. The intersection has 15 which represents students taking BOTH. We...
Let x be the sum of apples (mass 136g) and oranges (mass 262g) 7 apples plus 4 oranges = x We want our answer in kg, so lets write the mass in kg: 136 grams is .136 kg and 262 grams is .262 kg 7(.136) + .262 = 2 kg Together they have a mass of 2 kg
Let x be the greater integer. -3 -x = the smaller integer. (-3-x) - x ==-11 -3-x-x=-11 -3-2x=-11 2x=-11-3 2x=8 x=4 The sum of the two integers is -3 The smaller integer is -7 (which is -3-4) check: 4 -7 = -3 and -7-4=-11 The...
Let x be the number of first class and 7-x be the number of coach tickets. 980x +170(7-x) ≤ 2810 980x +1,190 -170x ≤ 2810 810x ≤ 1620 x ≤ 2 So either she bought 0, 1, or 2 first class tickets and 7, 6 or 5 coach tickets respectively. 0(980)...