Answer:
C.) Corresponding; B.) m<6 = m<2; and for the last one you probably have to divide so perhaps it might be 30 .
Step-by-step explanation:
X=-4y+2
3(-4y+2)+2y=11
-12y+6+2y=11
-10y+6=11
-6=-6
-10y=5
y=-1/2
3x+2(-1/2)=11
3x-1=11
+1=+1
3x=12
x=4
Solution:(-1/2,4)
Degree 4 means you'll have x^4 as your leading term. Multiplicity of 3 means you have the same factor 3 times. So if x = -2, then (x + 2) = 0, so (x + 2) is used 3 times. FOIL that out 3 times and you get x^3 + 6x^2 + 12x + 8. Now multiply by (x + 0) to get a 4th degree polynomial of x^4 + 6x^3 + 12x^2 + 8x. There!
Answer:
1 : 18
Step-by-step explanation:
When finding scale factor, both measurements should in same unit
Circumference of the model bell = 8 inches
1 feet = 12 inches
12 feet = 12 * 12 = 144 inches
Circumference of the actual bell = 12feet = 144 inches
Model : Actual = 8 : 144
= 8÷8 : 144÷8
= 1 : 18
Answer:
Step-by-step explanation:
Let's "complete the square," which will give us the vertex of this vertical, opens-up parabola:
g(x) =x^2+4x+1 can be rewritten as g(x) =x^2+4x + 4 - 4 +1, where that +4 comes from squaring half of the coefficient of x.
Then we have g(x) =x^2+4x + 4 - 4 + 1 => g(x) = (x + 2)^2 - 3.
Comparing this to y = (x - h)^2 + k,
we see that the vertex, (h, k), is located at (-2, -3).
Plot this vertex. Also, plot the y-intercept (0, g(0) ), which is (0, 1).
This information is enough to permit graphing the function roughly.