Total distance traveled Time 90×2=180 miles 2 hrs 72×1/2=36 miles ...

Total distance traveled Time 90×2=180 miles 2 hrs 72×1/2=36 miles ...

1/|×-4|<1/|×+7| multiply both sides by |×-4|×|×+7| to get |×+7|<|×-4| which says that the points you are looking for are those whose distance from -7 is less than their distance from 4. The middle of that interval is the point -3/2. The points we want...

Now find the range of N as N/(-5) + 1 ≤ 7 subtract 1 from each side N/(-5)≤6 now multiply each side by -5 N≥-30 NOTE: multiplying an inequality by a negative number flips the inequality.

equation find m and n (answer)

(m-n)2=m2-2mn+n2=140-2(49)=140-98=42 You only asked for m-n. The question title asks for more.

write the equation of the line in general form whose x-intercept is 3 and y- intercept of -4. (answer)

There is a double intercept form x/3+y/(-4)=1

solve the system (answer)

y=-x+7 y=(x-3)2/2=(x2-6x+9)/2 So -x+7=(x2-6x+9)/2 or -2x+14=x2-6x+9 or 0=x2-4x-5 competing the square we have (x-2)2-9=0 or x-2=±3 or x=5, or x=-1 In which cases y=2 or y= 8 (5,2) and (-1,8) are the solutions

The answer is 19. The explanation is bG = number of boys Gordon plays bJ = number of boys Jayanthi plays gG = number of girls Gordon plays gJ = number of girls Jayanthi plays There are a total of nC2 games...

A circle centered at the origin containing the point (-6,0) has the equation x2+y2=36. Any other question about the circle may be answered using this. Exactly what is your question. What you posted is incomplete.

H = 21 + 979e^−0.1t. For t=60 is 21+979e-6=23.4267 Average over first hour is (1/60)∫060Hdt=21+(979/60)∫060e-.1tdt ∫060e-.1tdt=-10e-.1t|060=10(1-e-6) Average over first hour is 21+(979/6)(1-e-6)=21+162.7622=183.7622 The 21 is simply added because (1/60)∫06021dt...

There are two similar triangles involved. The man's distance is 1.2t from the lamp post. The length of his shadow is s(t). The right triangle formed by the lamp post and (the distance of the man from the lamp post+his shadow length) is similar to the right triangle formed by the...

1 2 3 4 5 6 7 L L L L L L L O O O O O O O O C O C O C O O C C O C O C This diagram gives the pattern. A locker changes state from being...

x and y are two numbers each greater than 3, the highest common factor of x and y is 3, the lowest common multiple of x and y is 36, find x and y xy = product of greatest common divisor and least common multiple=3×36=108 Since GCD is 3 we may write x=3a, y=3b since...

The equations are of two parallel lines. They are not coincident, since they have different y-intercepts. They have no common solutions. a. is the answer

trigonometry question (answer)

Whatever the coefficients, we may write this as Acosx+Bsinx and so as √(A2+B2)[(A/√(A2+B2))cosx+(B/√(A2+B2))sinx] Let now cosθ=A/√(A2+B2) and sinθ=B/√(A2+B2) the full expression is now √(A2+B2)cos(x-θ) You really must clarify the coefficients...

If a matrix is invertible, then its determinant is not zero. For an invertible matrix A, the equation above reads, with B=A-1 det(AA-1)=detAdetA-1. Since AA-1=I, the identity matrix, whose determinant is 1, we have 1=detAdetA-1 or that detA-1=1/detA.

math problem help (answer)

x+2y-3z=-5 2x+5y+z=12 x-4y-3z=-11 subtract twice the first equation from the second subtract the first equation from the third x+2y-3z=-5 y +7z=22 -6y =-6 y=1 from third equation use...

Math help for school (answer)

2) Let x be quantity of 20% alcohol Let y be quantity of 60% alcohol x+y=80 .2x+.6y=.3(80) x+y=80 2x+6y=240 x+y=80 x+3y=120 2y=40 y=20 x=60

The number of ways of choosing one person from each group is 5C1×8C1×5C1×10C1×4C1× 6C1=48000 The number of ways of choosing six people from 38 people is 38C6=2760681 The probability in question is the ratio 48000/2760681

Let x=1+.072/12=1.006 the monthly rate of increase of money Let F be the future value of the cash stream. F=200×∑k=0,2391.006k=200×(1.006240-1)/.006=106752.46777 the sum is taken from 0 to 239, since the first payment occurs 1 month after the start of the annuity and the last payment...

(5x^2)-(2x-3)^2 (answer)

5x2-(2x-3)2=5x2-(4x2-12x+9)=5x2-4x2+12x-9=x2+12x-9 That's as far as I can go without seeing the choices

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