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Gre4nikov [31]
2 years ago
5

Help please!!!!!!!!! A. (1, -2) B. (1, 2) C. (2, -1) D. Infinite number of solutions

Mathematics
1 answer:
Maru [420]2 years ago
4 0

Answer:

(1, -2)  Option A in your list of possible answers

See attached image.

Step-by-step explanation:

We need to graph the lines by using a couple of points on the plane for each equation.

For example:

the points (0, -3)  and (3, 0) for the line  y = x - 3

and the points (0, 1) and (-1, 4) for the line  y = - 3 x + 1

Please see the lines in the attached image, and notice that they intersect at the point (1, -2), which gives you the solution for the system.

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Hello, Brainly community!
ioda

Answer:

(B)  \displaystyle \frac{W(3.1) - W(2.9)}{0.2}

General Formulas and Concepts:

<u>Calculus</u>

Limits

Derivatives

  • The definition of a derivative is the slope of the tangent line.

Derivative Notation

Instantaneous Rates

  • Tangent Line: \displaystyle f'(x) = \frac{f(b) - f(a)}{b - a}

Step-by-step explanation:

Since we are trying to find a <em>rate</em> at which W(t) changes, we must find the <em>derivative</em> at <em>t</em> = 3.

We are given 2 close answer choices that would have the same <em>numerical</em> answer but different <em>meanings</em>:

  1. (A)  \displaystyle  \lim_{t \to 3} W(t)
  2. (B)  \displaystyle \frac{W(3.1) - W(2.9)}{0.2}

If we look at answer choice (A), we see that our units would simply just be volume. It would not have the units of a rate of change. Yes, it may be the closest numerically correct answer, but it does not tell us the <em>rate</em> at which the volume would be changing and it is not a derivative.

If we look at answer choice (B), we see that our units would be cm³/s, and that is most certainly a rate of change. Answer choice (B) is also a <em>derivative</em> at <em>t</em> = 3, and a derivative tells us what <em>rate</em> something is changing.

∴ Answer choice (B) will give us the best estimate for the value of the instantaneous rate of change of W(t) when <em>t</em> = 3.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Book: College Calculus 10e

8 0
2 years ago
The function f ( x ) = 2 ⋅ 5 ^x can be used to represent an exponential growth curve. Which of the following points is NOT on th
12345 [234]

Answer:

Point (2, 20) does not lie on the given curve.

Step-by-step explanation:

Let us see explanation:

f(x) = 2. \:  {5}^{x}  \\  \\  \therefore \: f(x) \: at \: x = 2 \\ f(2) = 2. {5}^{2}  = 2.25 = 50 \\  \\ hence \: at \: x = 2 \:  \: f(x) = 50 \\  \therefore \:point (2 \:  \: 20) \: does \: not \: lie \: on \: the \: \\   \:  \:  \:  \:  \: curve.

7 0
3 years ago
Read 2 more answers
How to graph y = 2|x + 3| - 4
mr_godi [17]

The x-intercepts and the y-intercepts of the function is that determines the graph is:

  • x-intercepts = (-5,0) and (-1,0)
  • y-intercepts = (0,2)

<h3>How do we graph the function y = f(x) of an absolute equation?</h3>

The function of an absolute equation can be graphed by determining the values of x-intercepts and the y-intercepts of the function.

From the given equation:

y = 2|x+3| - 4

To determine the y-intercepts, we need to set the values of x to zero, and vice versa for x-intercepts.

By doing so, the x-intercepts and the y-intercepts of the function is:

  • x-intercepts = (-5,0) and (-1,0)
  • y-intercepts = (0,2)

Therefore, since we know the x and y-intercepts, the graph of the absolute value can be seen as plotted below.

Learn more about determining the graph of an absolute equation here:

brainly.com/question/2166748

#SPJ1

8 0
1 year ago
15 point question. please help
uysha [10]
(2,3) , (0,-3) , (-2,1) are the points. 
Hope this helps... Let me know if you wanna know anything. 
5 0
3 years ago
Use properties of rational numbers to multiply the following.
SashulF [63]
-126.....................................................
4 0
3 years ago
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