(3x + 2 )^2 = 9x^2 + 12x + 4 s = 12
3200 cents / 33 cents/stamp = 96.97 stamps = ~~~96 stamps
The sum of all digits: 1 + 2 + 3 + 4 +.............+ 9 + 9 + 8 + 9 + 9 + 9 = 13,500 - sum of all digits from 1 to 999 inclusive.
Intercept is y = -4
find two convenient points to calculate slope m how about 8,0 and 0, -4 slope = (0- -4)/ (8-0) = 1/2
y = 1/2x -4
You calculated the diagonal as 11.4 A to M is 1/2 of this diagonal so cos^-1 (5.7/12) =.....
32 m * 3 People / 4 boats = 24 people minutes / boat
24 p-m/b x 7 b / 4 p = 42 minutes
[111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111] - [22222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222] =8 8888888888 8888888888 8888888888 8888888888 8888888888 8888888888 8888888888 8888888888 8888888888 8888888889 = 809 sum total.
The maximum number of people is 3.
The sum of all the digits is 19998.
There are 8 coins that are facing up.
Find two convenient point to calculate slope = (y1-y2)/(x1-x2)
I'll use 0,8 and 4,3 slope = (8-3)/(0-4) = -5/4
y = mx+b b is found by putting one of the points in and calulating ...or looking at the graph b is y intercept = 8
y = -5/4x + 8
1) The area is 23.5.
2) The area of triangle OPQ is 28.
3) AC = 4*sqrt(3).
But this is the sum of digits, not numbers
There are a few issues:
#1: where are the boxes?
#2: please fix your LaTeX, i can't tell what that is
In Vonnie's 350 gallons of lemonade, she has \(272\frac{2}{9}\) gallons of water \(77 \frac{7}{9}\) gallons of lemon juice (in the ratio of 7:2). If we want to add more water to make it the same ratio as Lonnie's lemonade we need to write an equation. \(\frac{272 \frac{2}{9}+x}{77 \frac{7}{9}}=\frac{6}{1}\). I am going to leave it up to you to solve the equation.
"deleted"
The possible values of t are -1, 2, and 5.
If you are familiar with the standard form it is \(y=ax+b\) where \(a\) is slope and \(b\) is a constant. Let's put our slope in to change the equation to: \(y=\frac{9}{8}x+b\). Now all we have to do is solve for \(b\) since we are given the point (9,-5). Let's plug it in to form the equation: \(-5=\frac{9}{8}\times9+b\). Now we solve it: \(-5=\frac{81}{8}+b\). So \(b\) is equal to \(-5-\frac{81}{8}\Rightarrow\frac{-121}{8}\). Now we rewrite the equation: \(y=\frac{9}{8}x-\frac{121}{8}\)
1/x + 1/(x-1) = 1/2
solve for x the slower machine time
x-1 + x = 1/2 (x)(x-1)
2x-1 = 1/2x^2 - 1/2x
1/2x^2 -2.5x +1 = 0 x = 4.561 hr the other machine is 3.561 hr
a + b + c = 4 + (-2) + 7 = 9.
The radius of the spinner is 14.7 inches.
You could just substitute the values given to see if the equation = 0
try x = -2 does it = 0 if yes , then that is one root if no, then try +2
try 1 and then try -1
4 ( x^2-7x ) - 17
4 ( x-3.5)^2 - 17 - 12.25
4(x-3.5)^2 - 29.25 vertex = 3.5 , - 29,5
y = mx+ b b = y - intercept (this occurs when x=0)
y = -2/3 x -7
Where they intersect , they are equal, sooooo
-3x^2+12x-6 = 2x^2-4x+3 solve for 'x' (there may be more than one) then use this value in one of the equations to find 'y'
there may be 1 2 or zero points of intersection !
