9514 1404 393
Answer:
- 238 gallons 7%
- 119 gallons 1%
Step-by-step explanation:
Let h represent the number of gallons of high butterfat content milk. Then 357-h will be the number of gallons of 1% milk. The total amount of butterfat in the mix is ...
0.07h +0.01(357 -h) = 0.05(357)
0.06h = 14.28 . . . . . . . . . . subtract 3.57, collect terms
h = 238 . . . . . . . . . . divide by 0.06
357-h = 357 -238 = 119
238 gallons of 7% and 119 gallons of 1% are needed.
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h. k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 6, - 1), thus
y = a(x + 6)² - 1
To find a substitute one of the roots into the equation
Using (- 3, 0), then
0 = a(- 3 +6)² - 1
0 = 9a - 1 ( add 1 to both sides )
1 = 9a ( divide both sides by 9 )
a = 
, thus
y = (x + 6)² - 1 ← in vertex form
Expand factor and simplify
y = (x² + 12x + 36) - 1 ← distribute
y = x² + 
x + 4 - 1
= x² + x + 3 ← in standard form
In a graph the roots of the function are given by the cut points with the x axis.
On the other hand, we have the following equation:
y = -x2 - x + 6
To find the roots, we equate to zero:
-x2 - x + 6 = 0
Rewriting we have:
x2 + x - 6 = 0
(x-2) (x + 3) = 0
The roots are:
x1 = 2
x2 = -3
Answer:
The roots are:
x1 = 2
x2 = -3
Answer: B -8/7x+11/7
Step-by-step explanation:
First find the slope using teh formule 
which is teh formula for slope in this case the slope would be (-8/7) then pick a pair of points in this case we will use (4,-3) plug in the slope and the coordinate pair into the intercept formula (y=mx+b) so it would look like -3=-8/7(4)+b then solve for b so the answer be 8/7x+11/7
