One car 40 miles /gallon
other car 30 miles/gallon
..
Total miles = 165
gas used = 45 gallons
...
let first car drive x miles
second car drive y miles
..
x/40 + y/30 = 45
(30x+40y)/30*40 = 45
30x+40y = 45*40*30
30x+40y=54,000
Answer:
4(x-6)(x-1) = 0
Standard form: 4x^2-28x+24=0
Step-by-step explanation:
First, let's write an equation where the roots are 6 and 1.
To do that, we can use the intercept form <em>a(x-p)(x-q) = 0</em>, where <em>a</em> is the leading coefficient, and <em>p </em>and <em>q</em> are the roots.
We can therefore plug what we know into this equation:
4(x-6)(x-1) = 0
Answer:
Part 1) (the missing steps in the explanation)
Part 3) (8, 4); The vertex represents the maximum profit
Part 4) x = 3.58, 0.42
Part 5) x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made
Part 6) 2(x − 7)2 + 118; x = $7
Part 7) The maximum height of the puck is 4 feet. −(x − 4)^2 + 6
Part 8) (x + 3)^2 − 4
Part 9) 2(x − 1)^2 = 4
Part 10) 8(x − 4)^2 + 592
Step-by-step explanation:
We can rearrange 3x+y=9 to look more conventional by subtracting 3x from both sides and making it y= -3x+9.
Now we want to find a line that is parallel to this and goes through the point (0,-4). We know that -3 is the slope. With this in mind, if we want the other line to be parallel then it must have the same slope so that they never intersect. This gives us one of the numbers we need for the second line.
This means our second equation is looking like; y= -3x+b. This means we need to find b (the y-intercept) but we are also given a point it must go through and this is (0,-4). We simply plug this in into our new equation we need to solve and we get ; -4 = -3(0) + b . "since 0 is the x and -4 is the y" . From this we get that b= -4. This means the equation of a line parallel is:
y = -3x-4
Answer:
30
Step-by-step explanation:
Each one has 10 tenths, so 3 ones have 30 tenths.
You can do this by dividing 3 by 1/10.
3/(1/10) = 3/1 * 10/1 = 30/1 = 30
