Answer:
Step-by-step explanation:
i think its a
14 karat gold is 58.3333...% gold
We have 75% gold and 50% gold and we need to make 200 grams of 58.3333...% gold.
A) x + y = 200
B) .75x + .50y = ( (14/24) * 200)
We multiply equation B) by -1.3333... and get
B) -x -.6666...y = -155.5555... then adding A)
A) x + y = 200 we get
.3333...y = 44.4444...
y = 133.3333... grams 12 karat gold
x = 66.6666... grams 18 karat gold
Double-Checking the answer
133.3333... * .5 = 66.6666...
66.6666 * .75 = 50.0000...
Concentration of final solution = (66.6666... + 50) / 200 = 58.3333...% which is 14 karat gold
Answer:
a) (-5,0) and (1,0)
b) (0,-5)
c) minimum
See attached graph.
Step-by-step explanation:
To graph the function, find the vertex of the function find (-b/2a, f(-b/2a)). Substitute b = 4 and a = 1.
-4/2(1) = -4/2 = -2
f(-2) = (-2)^2 + 4(-2) - 5 = 4 - 8 - 5 = -4 - 5 = -9
Plot the point (-2,-9). Then two points two points on either side like x = -1 and x = -3. Substitute x = -1 and x = -3
f(-1) = (-1)^2 + 4 (-1) - 5 = 1 - 4 - 5 = -8
Plot the point (-1,-8).
f(-3) = (-3)^2 + 4(-3) - 5 = 9 - 12 - 5 = -8
Plot the point (-3,-8).
See the attached graph.
The features of the graph are:
a) (-5,0) and (1,0)
b) (0,-5)
c) minimum
Answer:
Step-by-step explanation:
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