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lawyer [7]
3 years ago
10

Select all of the following functions that have a range of y ≥ 0.

Mathematics
1 answer:
bixtya [17]3 years ago
7 0
A,B,E
C in case y=1, im not entierly sure what is implied by identity unless youre talking composition or inverses
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Help plzzzz.................
insens350 [35]

Answer:

a = 6, b = - 12

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms to those on the right side.

a(4x - 10) ← distribute parenthesis

= 4ax - 10a

Compare to 24x + 5b , then

4a = 24 ( divide both sides by 4 )

a = 6

Then

5b = - 10a = - 10(6) = - 60 ( divide both sides by 5 )

b = - 12

7 0
2 years ago
Determine the area of the given region under the curve <br> (1/x^4) [1,2]
Nikolay [14]

Answer:

\displaystyle \frac{7}{24}

General Formulas and Concepts:

<u>Algebra I</u>

  • Exponential Rule [Rewrite]: \displaystyle b^{-m} = \frac{1}{b^m}

<u>Calculus</u>

[Area] Limits of Riemann's Sums - Integrals

Integration Rule [Reverse Power Rule]:                                                                    \displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C

Integration Rule [Fundamental Theorem of Calculus 1]:                                          \displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle f(x) = \frac{1}{x^4} \\ \ [1, 2]<u />

<u />

<u>Step 2: Find Area</u>

  1. [Integral] Set up area:                                                                                    \displaystyle \int\limits^2_1 {\frac{1}{x^4}} \, dx
  2. [Integral] Rewrite:                                                                                            \displaystyle \int\limits^2_1 {x^{-4}} \, dx
  3. [Integral] Reverse Power Rule:                                                                      \displaystyle \frac{-1}{3x^3} \bigg| \limits^2_1
  4. [Area] Fundamental Theorem of Calculus:                                                   \displaystyle \frac{7}{24}

Topic: Calculus

Unit: Basic Integration/Riemann Sums

Book: College Calculus 10e

6 0
3 years ago
A school dance committee is made up of 2 freshman, 6 sophomores, 3 juniors, and 2 seniors.
wlad13 [49]

Answer:you put the differnet people in grades together like one grade goes first then the other then the other

Step-by-step explanation:

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The cost of a CD at Ernesto's Music Emporium is $12, including tax. Brian has a $100 gift card from Ernesto's. What is his balan
Allushta [10]
$52 because 4 times 12 equals 48 so 100 minus 48 equals 52
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3 years ago
Please help Pythagorean theorem <br><br><br> please answer all the question
zlopas [31]

Answer:

a)5

b)17

c) ?

d) 3\sqrt{2}

Step-by-step explanation:

3 0
3 years ago
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