Answer:
B) 0.0625
Step-by-step explanation:
f(x) = k / x
f(x)=0.5 when x = 0.3
f(x) = k / x
0.5 = k / 0.3
Cross product
0.5 * 0.3 = k
k = 0.15
What is f(x) when x = 2.4?
f(x) = k / x
f(x) = 0.15 / 2.4
f(x) = 0.0625
The answer is B) 0.0625
Answer:
-2.61803398875, -0.38196601125
or
(-3±√5)/2
Step-by-step explanation:
First, expand. (2x+3)² = 4x²+12x+9=5
4x²+12x+4 = 0
Quadratic equations take the form ax²+bx+c = 0
In this case,
a = 4
b = 12
c = 4
You can solve with the equation x=(-b±√b²-4ac)/2a
Plug in:
(-12±√144-64)/8
(-12±√80)/8
(-12±√2^4×5)/8
(-12±4√5)/8
(-3±√5)/2
Final answer x = (-3±√5)/2
If you want decimal form: -2.61803398875, -0.38196601125
Answer:
See attachment
Step-by-step explanation:
We want to graph 
on the interval -10 to 10.
Let 
be the parent absolute value function.
We can easily graph , if we use translation.
When the parent function is shifted downwards by 12 units, we obtain the graph of .
The parent function is a v-shaped graph with vertex at the origin.
We shift the parent function down so that its vertex is now at (0,-12) to get the graph of .
See attachment for the graph of on the specified interval.
Substituting -3 for x, we have: (-3)^2-3*-3-7. This simplifies to 9+9-7, or 11.
