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marshall27 [118]
3 years ago
14

If f(x) = –5x – 4 and g(x) = –3x – 2, find (f – g)(x).

Mathematics
1 answer:
erica [24]3 years ago
3 0

Answer:

  C.  (f – g)(x) = –2x – 2

Step-by-step explanation:

(f – g)(x) = f(x) – g(x)

  = (–5x – 4) – (–3x – 2)

  = –2x – 2

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Given f '(x) = (x + 1)(6 + 3x), find the x-coordinate for the relative minimum on the graph of f(x).
FinnZ [79.3K]

Answer:

x = -1

Step-by-step explanation:

The easiest way is just to find the antiderivative and graph.  The antiderivative is x^{3} + 4.5x^{2} + 9x + C.  Graphing this with any C shows that x=-1 is the relative minimum.

3 0
3 years ago
If y = kx, what is the value of k if y = 20 and x = 0.4? A) 5 B) 8 C) 9.6 D) 50
Margaret [11]
Answer: D, 50
y = kx          <span>y = 20 and x = 0.4
</span>
What you will do: You will plug in your y and your x.
Your equation should look like: 20=k(0.4)
Next: What you will do is divide each side of your equal sign by 0.4 so you will get your k alone.
You would get: k=50

HOPE THIS HELPS! ^_^
  
7 0
3 years ago
Pls help w/ algebra
AlladinOne [14]
<h3>Answer:</h3>

See attached graphs.

<h3>Step-by-step explanation:</h3>

You are being asked to observe the graphs of the various equations and identify something they have in common. To answer the question, it usually works well to do exactly what the question asks you to do.

a: All three lines have a slope of at least 1 and pass through the origin.

b: These lines all have the same slope. They are parallel.

c: All three lines have a slope less than 1 and pass through the origin.

d: These are all the same line.

e: All of these lines intersect at the point (2, -2).

_____

<em>Comment on the graphs</em>

The number of attachments allowed here is limited, so some graphs have been combined. Where there are 3 lines, the first is red, the second is blue, the third is green.

Graphs for (a) and (c) appear on the same page. The graphs for (c) are shown as dashed lines.

Graphs for (b) and (d) appear on the same page. The graph for (d) is shown in orange (as a dashed line). All threee lines look exactly like this.

_____

<em>Comment on the graphing program</em>

These are graphed using the Desmos on-line graphing calculator. It has a tutorial available and is not difficult to learn for most simple graphing applications. (It prefers the variables x and y.) Graphs can be saved for later. (Here, screen shots are used because Brainly doesn't like external links.)

3 0
3 years ago
Charlene puts together two isosceles triangles so that they share a base, creating a kite. The legs of the triangles are 10 inch
enot [183]
From the information given you have:

1) Smaller diagonal of the kite: 16 inches


2) Larger diagonal of the kite: height of one triangle (h1) + height of the other triangle (h2)


3) Calculation of the height of the smaller triangle, h1:


10^2 = (16/2)^2 + (h1)^2 => h1 = √ [10^2 - 8^2] = 6


4) Calculation of the height of the larger triangle, h2


17^2 = (16/2)^2 + (h2)^2 => h2 = √[17^2  - 8^2] = 15


5) Larger diagonal = h1 + h2 = 6 + 15 = 21


Answer: 21 inches
7 0
3 years ago
Read 2 more answers
(r-1)^2<br> this is to the power of two
mars1129 [50]
<span>Use formula: (a-b)</span>² = a² - 2ab + b²<span>

(r-1)</span>² = r² - 2r + 1
6 0
3 years ago
Read 2 more answers
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