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gladu [14]
2 years ago
11

T/4 > 7 solve the inequality

Mathematics
1 answer:
Serggg [28]2 years ago
3 0

The Answer will be: T>28

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Please help me answer this question. Show steps and explain
salantis [7]

Your problem statement makes no reference to p or q, so we can only guess that "p/q" refers to the ratio of the lowest- and highest-degree coefficients:

... -6/1

Then the factors of p/q are the factors of 6, with either sign.

Factors of p/q: ±1, ±2, ±3.

There are a number of ways the factors can be tested. To test 1, simply add the coefficients. (The sum is -8.) To test -1, subtract the sum of odd-degree coefficients from the sum of even-degree coefficients. (The difference is 0.)

Knowing that -1 is a root of the function, you can use synthetic division to find the quadratic factor. (See the first attachment for the work.) Then you have ...

... f(x) = (x +1)(x² +x -6)

You can continue to test the factors of p/q, or you can factor the quadratic to get ...

... f(x) = (x +1)(x -2)(x +3)

Another way to test the factors is to program your graphing calculator to evaluate the function f(x) for those factors. The result from my TI-84 is shown in the second attachment. That shows f(x) = 0 for x = -3, -1, and +2.

Test the factors: f({-3, -2, -1, 1, 2, 3}) = {0, 4, 0, -8, 0, 24}

This tells you the x-intercepts.

X-intercepts: -3, -1, 2

Of course, the y-intercept is just the constant in the function—the value of the function when x=0.

Y-intercept: -6

As with any odd-degree polynomial with a positive leading coefficient, the overall behavior looks like "/". That is ...

End behaviors: f(x) goes to -∞ as x goes to -∞; f(x) goes to +∞ as x goes to +∞.

_____

A graph of f(x) is shown in the third attachment. (Graphing calculators make it easy to use graphing to find x-intercepts.)

3 0
3 years ago
Solve the right angle trig problem.
iris [78.8K]

Answer:

x = 53.6588°

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use trig to find the missing angle.

<u>Step 2: Identify Variables</u>

<em>POV from angle x</em>

Angle = <em>x</em>

Adjacent = 16

Hypotenuse = 27

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Substitute:                    cosx° = 16/27
  2. Inverse:                         x° = cos⁻¹(16/27)
  3. Evaluate:                       x = 53.6588°
7 0
2 years ago
Relationships in Figures
N76 [4]

Answer:

B. Recursive

Step-by-step explanation:

I calculated it logically

6 0
3 years ago
The principal of East High School wants to buy a new cover for the sand pit used in the long-jump competition. He measured the s
Ganezh [65]

Answer: area is 286.16 ft²

Step-by-step explanation:

Length of the sand pit is 29.2 feet and the width is 9.8 feet.

L= 29.2 ft

W = 9.8 ft

To find out the area, all we have to do is multiply the lenght by the width:

And do not forget that to calculate the area, all units must be the same and for the area, it is always the unit squared, in this case, feet square or simply (ft²).

A = l*w

A = 29.2 * 9.8 = 286.16 ft²

3 0
3 years ago
What is answer to this equation 7x-4=2
Inga [223]
7x=2+4
7x=6
X=6/7 ans
Hope you like it
3 0
3 years ago
Read 2 more answers
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