Equation is <span>-4x+6y-5z=60
x-intercept is obtained by assuming y=0, z=0, and solving for x.
-4x+0-0=60 => x=-15, hence x-intercept is (-15,0,0)
Similarly for y-intercept, assume x=0,z=0 =>
0+6y-0=60 => y=60/6=10 => y-intercept is (0,10,0)
Again, for the z-intercept, assume x=0,y=0 =>
0+0-5z=60 => z=-12 => z-intercept is (0,0,-12)</span>
Answer:
9/4
Step-by-step explanation:
The quadratic function can be rearranged to look like this:
x^2-3x-1=0
Now we see that the constant b is equal to -3. Using the hint, we find:
(-3/2)^2=9/4
Hope that helps!
Answer:
The answer is 9/10
Step-by-step explanation:
8/10 is the same thing as ⅘, ⅘ is just simplified
⅖ is less than ⅘ so it would come before c
6/5 is more than 1 so it wouldn’t be on that number line.
He worked 9 hours in his first job and 5 hours in his second
1. Eyeballing the data, the best fit will be pretty close to a line between the leftmost point and the rightmost point.
We estimate those points as (4,220) and (28,470)
The point point form for a line joining (a,b) and (c,d) is
(c-a)(y-b) = (d-b)(x-a)
(28 - 4)(y - 220) = (470 - 220)(x - 4)
24(y - 220) = 250(x-4)
24y - 5280 = 250x - 1000
24y = 250 x + 4280
y = (250/24) x+ (4280/24)
Approximately that's,
y = 10.4 x + 178
Answer: 4th choice, 10.4x + 180
2. For 48 wheelbarrows,
y = 10.4(48)+180 = 679.2
Answer: 679.2 liters of sand
