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Goryan [66]
3 years ago
15

Determine the slope of y=3x^2-8 at (x,y)

Mathematics
1 answer:
romanna [79]3 years ago
8 0
By definition, the slope of a curve is the rate of change of the independent and dependent variables. When graphed in a Cartesian plane, the slope between any two point on the curve is equal to Δy/Δx. However, we should not that only a linear function has a constant slope. For this problem, the equation is quadratic. Hence, you must specify the point where we should get the slope.

In calculus, the slope is the first derivative of the equation:

<span>y=3x</span>²<span>-8
dy/dx = slope = 6x - 0

Thus, the slope at any point of the curve is 6x. For instance, you want to find the slope of the curve at point (1,1), then the slope is equal to 6(1) = 6 units.</span>
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(last word) the inverse dependency ratio is defined as
Lana71 [14]
The inverse dependency ratio is an indicator that gives insight into the amount of people of nonworking age compared to the number of those of working age. It is defined as the ratio between <span>the number of </span>dependents, (aged zero to 14 and over the age of 65,) and the number of the total population, aged 15 to 64.
A high ratio means those of working age, and the overall economy, face a greater burden in supporting the aging population. <span>
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6 0
3 years ago
Classify each system and determine the number of solutions
dsp73
Divide both sides of the equation by - 3
-8x+9y= - 14
-9y+8x=14
simplify the expression
-8x+9y=-14
8x-9y=14
then solve the equation for y
y=-14/9+8/9x
substitute the given value in the ordered pair (x, y)
8 0
4 years ago
Three consecutive integers have a sum of 168. What is the value of the largest integer
Svet_ta [14]
Largest integer: 57

x + x + 1 + x + 2 = 168 
3x + 3 = 168
-3             -3
3x       = 165
/3             /3 
x         = 55 

x = smallest integer = 55
x + 1 = middle integer = 55 + 1 = 56
x + 2 = largest integer = 55 + 2 = 57 
6 0
4 years ago
Help with problem pls
Crazy boy [7]
The original number is .9
5 0
4 years ago
The diagonal of a TV is 30 inches long. Assuming that this diagonal forms a pair of 30-60-90 right triangles, what are the exact
Mama L [17]

Your answer is A: 15 inches by 15√3 inches.

We can use trigonometry to solve this. If we draw out one of the triangles we can label the 30 inch side as the hypotenuse, and then the other sides as the opposite and adjacent. Then we just have to find the lengths of these.

To find the opposite, we use the trigonometric ratio sinθ = opposite ÷ hypotenuse, and thus the opposite is sin(60) × 30 = 15√3

Automatically now we know the answer is A because that is the only option with 15√3 as a side, but you could also solve using cosθ = adjacent ÷ hypotenuse and get the other side.

I hope this helps!


7 0
3 years ago
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