Answer:
B, the one with the line and shaded the top on the right side. (The one that goes to 7 on the x axis).
Step-by-step explanation:
First I find which graph as y -intercept of -3, which is all of them.
Next, I find with graph has a slope of 1/3. (rise 1 run 3). Only B and D has a slope of 1/3 (The ones that has a less steep graph. )
Then, I use the coordinate (0,0) to see which side the graph shades. I plug it into the inequality. (0)≥1/3(0)-3. Solve. Is 0 greater than -3. YES! so we shade the part where (0,0) is shaded which is B.
Exponent rule added:
12xx^2 -9x^2
rewrite 9 as 3 x 3, rewrite 12 as 3 x 4
3 * 4xx^2 - 3 * 3x^2 ( * is multiply)
factor common terms:
3x^2(4x-3) - answer.
Answer:
y = 0.48(x - 0.5)² - 3
y = 0.48(x² - x - 6)
Step-by-step explanation:
From the graph the zeros are
x = {-2, 3}
The x coordinate of the vertex is the midpoint of the roots
x = (-2 + 3) / 2
x = 0.5
The y coordinate of the vertex is
y = -3
vertex = (0.5, -3)
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Merhod I - vertex
Vertex form is
y = a(x - h)² + k
plug in the vertex
y = a(x - 0.5)² - 3
to find a plug in either root
using x = 3
0 = a(3 - 0.5)² - 3
0 = a(2.5)² - 3
0 = 6.25a - 3
3 = 6.25a
a = 3/6.25
a = 0.48
y = 0.48(x - 0.5)² - 3
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Method II - roots
y = a(x + 2)(x - 3)
-3 = a(0.5 + 2)(0.5 - 3)
-3 = a(2.5)(-2.5)
-3 = -6.25a
3/6.25 = a
0.48 = a
y = 0.48(x + 2)(x - 3)
Expand
y = 0.48(x² - x - 6)
You need to multiply 18*3 to get the number of balls needed. Then you have to divide the answer with 8 to get the amount of boxes needed.
18x3= 24
24x8= this will give you your answer
Answer:
x - 2.5
Step-by-step explanation:
2x -3 = 2
2x = 5
x = 2.5
Hope this helps!
