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gogolik [260]
3 years ago
12

And what does each angle equal to?

Mathematics
1 answer:
Katena32 [7]3 years ago
7 0

you clicked the right one

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What is the minimum or maximum value of the equation of this equation?<br> f(x) = -(x-8)^2 -30​
Snezhnost [94]

9514 1404 393

Answer:

  f(8) = -30 is the maximum

Step-by-step explanation:

The equation is that of a parabola in vertex form:

  y = a(x -h)^2 +k . . . . . . . . (h, k) is the vertex; 'a' is the scale factor

Comparing this form to the given equation, we have ...

  f(x) = -(x -8)^2 -30

  • a = -1
  • h = 8
  • k = -30

That is, the scale factor is -1, and the vertex is (8, -30).

When the scale factor is negative, the graph opens downward and the vertex is a maximum. The maximum value is -30.

8 0
3 years ago
Abby can buy individual songs for $1.00 to download, or she can
Taya2010 [7]

The solution to the inequalities x + 8y ≤ 50, x ≤ 30, y > 2 is the darker region shown on the graph.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the number of individual songs and y represent the number of albums, hence:

x + 8y ≤ 50   (1)

x ≤ 30    (2)

y > 2   (3)

The solution to the inequalities x + 8y ≤ 50, x ≤ 30, y > 2 is the darker region shown on the graph.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

3 0
1 year ago
If 4sintheta = -3, solve for theta given 0°&gt;_theta&gt;_360°
Soloha48 [4]

Answer:

311.41 degrees

Step-by-step explanation:

If 4 sin Ф = -3 and Ф is between 0 and 360 degrees, then we conclude that Ф must be either in Quadrant III or Quadrant IV (because the sine is negative).

Let's assume we're in Quadrant IV.  Then sin Ф = opp / hyp = -3/4; that is, the opp side is negative and has length 3, and the hypo is positive 4.

According to the Pythagorean Theorem,  (-3)^2 + x^2 = 4^2, or,

x^2 = 16 - 9 = 7.

Then x is either √7 or -√7.

To find the angle Ф, use the inverse sine function:

Ф = arcsin (-3/4).  Using a calculator we get the angle -40.59 degrees, which corresponds to (360 degrees - 40.59 degrees), or 311.41 degrees.  We can check this by finding the sine of 311.41 degrees; the result is -0.75, which matches "If 4sintheta = -3."  

6 0
2 years ago
Given a set of data with the Regression Line: y = 3.5x + 18.5
Tomtit [17]

Answer:

1.5

Step-by-step explanation:

y=3.5*100+18.5=368.5\\rv=370-368.5=1.5

4 0
3 years ago
Write the equation of the line parallel to y=8x-1 that contains the point (-6,2)
Tasya [4]
Equation: y = 8x - 1
Compare it with, y = mx + b
Slope, m = 8
Now, parallel line must have equal slope, = 8

We know, y - y1 = m(x - x1)
y - 2 = 8(x + 6)

Hope this helps!
6 0
3 years ago
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