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Lerok [7]
3 years ago
6

Select the correct answer from each drop-down menu.

Mathematics
1 answer:
blagie [28]3 years ago
6 0

Answer:

divide, 2x+9

Step-by-step explanation:

got it right

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Let y=f(x)=(3x+7)/(x-2) <br> find a rule for f^-1
Murrr4er [49]

Answer:

f^{-1}(x)=\frac{2x+7}{x-3}.

Step-by-step explanation:

The given function is f(x)=\frac{3x+7}{x-2},\:x\ne2.

We want to find a rule for f^{-1}(x).

Let y=\frac{3x+7}{x-2}.

Interchange x and y.

x=\frac{3y+7}{y-2}.

Solve for y.

x(y-2)=3y+7.

Expand

xy-2x=3y+7.

Group y-terms

xy-3y=7+2x.

Factor

(x-3)y=7+2x.

y=\frac{2x+7}{x-3}.

\therefore f^{-1}(x)=\frac{2x+7}{x-3},\:x\ne3.

8 0
3 years ago
Given that 99°, 153°, 162° are 3 of the interior angles of a n-sided polygon and that the remaining interior angles are 141° eac
Helen [10]

Answer:

n = 9

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Given 3 angles and the remaining angle of 141° then there are

141(n - 3) angles of this size

Then

99 + 153 + 162 + 141(n - 3) = 180(n - 2) , that is

414 + 141n - 423 = 180n - 360

141n - 9 = 180n - 360 ( subtract 141n from both sides )

- 9 = 39n - 360 ( add 360 to both sides )

351 = 39n ( divide both sides by 39 )

9 = n

The polygon has 9 sides

8 0
3 years ago
Which equation reveals the minimum or the maximum value of f(x) without changing the form of the equation?
erik [133]

Answer:

A): f(x) = (x – 1)² + 2

Step-by-step explanation:

The quadratic function, f(x) = (x – 1)² + 2 is in <u>vertex form</u>: y = a(x - h)² + k, where:

  • The vertex of the graph is (h,k).
  • The value of <em>a</em> determines whether the graph opens up or down. If <em>a</em><em> </em>is <u>positive</u>, the graph opens up and the vertex is its minimum point. If <em>a </em>is <u>negative</u>, then the graph opens down, and the vertex is its maximum point.
  • The value of <em>h</em> determines how far left or right the parent function is translated.
  • The value of<em> k</em> determines how far up or down the parent function is translated.

The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's <u>minimum value</u>, as the value of <em>a</em> is a <u>positive</u>, which implies that the parabola is <em>upward facing</em>, and the vertex, (1, 2) is the minimum point.

Please mark my answers as the Brainliest if you find this helpful  :)

5 0
2 years ago
It is: THE SUM OF THREE CONSECUTIVE NUMBERS IS 78 WHAT IS THE SMALLEST OF THREE NUMBERS?
TiliK225 [7]
-----------------------------------------------
Define x :
-----------------------------------------------
Let the smallest number be x.
The other two numbers will be x+1 and x+2.

-----------------------------------------------
Construct equation :
-----------------------------------------------
The sum of all 3 numbers is 78
⇒ x + x + 1 + x + 2 = 78

-----------------------------------------------
Solve x :
-----------------------------------------------
x + x + 1 + x + 2 = 78
3x + 3 = 78
3x = 78 - 3
3x = 75
x = 25

-----------------------------------------------
Answer: Smallest number = 25
-----------------------------------------------
8 0
3 years ago
Read 2 more answers
A line passes through the point (-8,7) and has a
zaharov [31]

Answer:

y = (-5/2)x + 27

Step-by-step explanation:

Use the point slope formula y = mx + b.

Replace m with -5/2, x with -8 and y with 7:

7 = (-5/2)(8) + b.  Find the y-intercept, b:

7 = -20 = b, or b = 27

The equation of this line is y = (-5/2)x + 27.

6 0
3 years ago
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