Answer:
1/3
Step-by-step explanation:
The ratio is undefined at x=0, so we presume that's where we're interested in the limit. Both numerator and denominator are zero at x=0, so L'Hôpital's rule applies. According to that rule, we replace numerator and denominator with their respective derivatives.

Answer:
B. $1680
Step-by-step explanation:
Note the simple interest formula:
Interest = (Principal)(rate)(time)
Principal = $6000
Rate = 7% = 0.07
Time = 4
Plug in the corresponding numbers for the corresponding variables.
I = (P)(R)(T)
I = (6000)(0.07)(4)
Multiply.
I = (24000)(0.07)
I = 1680
Interest is $1680.
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Answer: OPTION C.
Step-by-step explanation:
You can observe in the graph that the solutions of the Quadratic function are:

By definition, the parabola intersects the x-axis when the value of "y" is zero, applying the Addition property of Equality:

Applying the Subtraction property of Equality:

The Zero Product property states that:
If
then 
Then, you know that:

Therefore the most likely factors of the function graphed above are:

Answer:

Step-by-step explanation:
Hello,
Let's follow the instructions !
Step 1
g(x)=k*f(x)=k*|x|
We know that the point (2,6) is on the graph so 6=g(2) meaning:
6=k*|2|=k*2
*** divide by 2 both sides ***
k = 6/2 = 3
Step 2
g(x)=3*|x|
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
The equations representing the lines, y=x+5 and 2y-2x=10, have the same slope, therefore the lines are parallel.
<em><u>Recall:</u></em>
- Two lines that are parallel will have the same slope value.
- Two lines that are perpendicular to each other will have slopes that are negative reciprocal of each other.
- Equation representing a line in slope-intercept form is: y = mx + b, where m is the slope.
<em><u>Given:</u></em>
y = x + 5
2y - 2x = 10
The slope of y = x + 5 is 1.
Rewrite 2y - 2x = 10 in slope-intercept form to determine its slope.
2y - 2x = 10
2y = 2x + 10
y = x + 5
Thus, the slope of y = x + 5 (2y - 2x = 10) is also 1.
The equations representing the lines, y=x+5 and 2y-2x=10, have the same slope, therefore the lines are parallel.
Learn more about slope of parallel lines on:
brainly.com/question/10790818