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s344n2d4d5 [400]
3 years ago
10

Given: f(x) = 3x-7, g(x)=2x2 -3x+1, h(x)=4x+1, k(x) =-x2+3 Find: k(x) +g(x)​

Mathematics
1 answer:
Afina-wow [57]3 years ago
7 0

Answer:

k(x) + g(x) = x² - 3x + 4

General Formulas and Concepts:

<u>Alg I</u>

  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x - 7

g(x) = 2x² - 3x + 1

h(x) = 4x + 1

k(x) = -x² + 3

<u>Step 2: Find k(x) + g(x)</u>

  1. Substitute:                              k(x) + g(x) = -x² + 3 + 2x² - 3x + 1
  2. Combine like terms (x²):        k(x) + g(x) = x² + 3 - 3x + 1
  3. Combine like terms (Z):         k(x) + g(x) = x² - 3x + 4
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Sonja [21]
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Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12y' to each side of the equation. 20x + 12y + -12y = 1040 + -12y Combine like terms: 12y + -12y = 0 20x + 0 = 1040 + -12y 20x = 1040 + -12y Divide each side by '20'. x = 52 + -0.6y
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then we have
</span>25x + 16y = 1350
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-16y' to each side of the equation.
25x + 16y + -16y = 1350 + -16y
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3 years ago
Find the following Euler Totients using Euler’s Theorem, as explained on p.409 of the text (10 points each): a.ϕ(13) b.ϕ(81) c.ϕ
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(a) \varphi(13)=12 since 13 is prime.

(b) 81=3^4, and there are 81/3 = 27 multiples of 3 between 1 and 81, which leaves 81 - 27 = 54 numbers between 1 and 81 that are coprime to 81, so \varphi(81)=54.

(c) 100=2^2\cdot5^2; there are 50 multiples of 2, and 20 multiples of 5, between 1 and 100; 10 of these are counted twice (the multiples of 2*5=10), so a total of 50 + 20 - 10 = 60 distinct numbers not coprime to 100, leaving us with \varphi(100)=100-60=40.

(d) 102=2\cdot3\cdot17; there are 51 multiples of 2, 34 multiples of 3, and 6 multiples of 17, between 1 and 102. Among these, we double-count 17 multiples of 2*3=6, 3 multiples of 2*17=34, and 2 multiples of 3*17=51; we also triple-count 1 number, 2*3*17=102. There are then 51 + 34 + 6 - (17 + 3 + 2) + 1 = 70 numbers between 1 and 102 that are not coprime to 102, and so \varphi(102)=102-70=32.

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

Since opposite and adjacent is given, we will use tan as trigonometric ratio.

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\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
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2 years ago
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artcher [175]
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3 years ago
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