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mina [271]
3 years ago
6

Use the remainder theorem to determine the remainder when 3t2 + 5t − 7 is divided by t − 5. A. 93 B. 43 C. 107 D. 57

Mathematics
2 answers:
Usimov [2.4K]3 years ago
7 0
Using remainder theorem, we get:

P(t) = 3t^{2} + 5t - 7

Substitute t = 5 into the equation:
P(5) = 3(5)^{2} + 5^{2} - 7
P(5) = 75 + 25 - 7 = 93

Thus, we get a remainder of 93 or (A)
Gemiola [76]3 years ago
7 0
The answer for your question is A. 93

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Solving Exponential and Logarithmic Equations In Exercise, solve for x.<br> In 2x - In(3x - 1) = 0
LenKa [72]

Answer:

\frac{-1}{3x^2-x}

Step-by-step explanation:

  1. If f(x) is in th form of f(x)=g(x)-h(x) then f'(x)=g'(x) - h'(x)
  2. When f(x)=z(g(x)) then f'(x)= z'(g(x))g'(x) (called as chain rule)

<u>using these information</u>:

g(x)=ln2x then g'(x)=\frac{(2x)'}{2x} =\frac{2}{2x}=\frac{1}{x}

h(x)=In(3x - 1) then h'(x)=\frac{(3x-1)'}{3x-1} =\frac{3}{3x-1}f'(x)=g'(x) - h'(x) =[tex]\frac{1}{x} - \frac{3}{3x-1} =\frac{-1}{3x^2-x}

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4 years ago
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Can someone help me?
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-8/12

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4 0
3 years ago
What is the value of c such that x^2+14x+c is a perfect-square trinomial?
polet [3.4K]

Answer: 49

Step-by-step explanation:

a=1 ,b=14, c=?

b^2-4ac =0

(14)^2-4(1)(c)=0

196-4c=0

196=4c

c=49

Check:

(x)^2+2(x)(7)+(7)^2

x^2+14x+49

(x+7)^2  

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Merrick walked 3 miles to his friend's house. He left his house at 9AM and arrived at his friend's house at 10.30AM What was his
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His walking rate was =3/1.5=2 miles per hour
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