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Ber [7]
3 years ago
14

Find all of the zeros of f(x) = 5x2 + 40x - 100.

Mathematics
2 answers:
Mama L [17]3 years ago
7 0

Answer:

x_1 = 2

x_2 = -10

Step-by-step explanation:

To find all of the zeros of f(x) = 5x^2 + 40x - 100 we can use the quadratic formula:

x = \frac{-40 \pm \sqrt{40^2 - 4(5)(-100)}}{2(5)}

x = \frac{-40 \pm 60}{10}

x_1 = \frac{-40 + 60}{10}

x_1 = 2

x_2 = \frac{-40 - 60}{10}

x_2 = -10

rjkz [21]3 years ago
3 0
I used the quadratic equation to solve so your answer is X= -10, 2

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Find f'(x) and state the domain of f':<br> f(x) = In (2x^2+1)
-Dominant- [34]

Answer:

f'(x) = \frac{4x}{2x^2+1}

Domain: All Real Numbers

General Formulas and Concepts:

<u>Algebra I</u>

  • Domain is the set of x-values that can be inputted into function f(x)

<u>Calculus</u>

The derivative of a constant is equal to 0

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Chain Rule: \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Derivative: \frac{d}{dx} [ln(u)] = \frac{u'}{u}

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = ln(2x² + 1)

<u>Step 2: Differentiate</u>

  1. Derivative ln(u) [Chain Rule/Basic Power]:                          f'(x) = \frac{1}{2x^2+1} \cdot 2 \cdot 2x^{2-1}
  2. Simplify:                                                                                       f'(x) = \frac{1}{2x^2+1} \cdot 4x
  3. Multiply:                                                                                                     f'(x) = \frac{4x}{2x^2+1}

<u>Step 3: Domain</u>

We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.

Therefore, our domain would be all real numbers.

We can also graph the differential function to analyze the domain.

5 0
3 years ago
Find the measure of Angle 2. measure of angle 1 = x measure of angle 2 = x-6
eduard
<span>m∠3 = 180 -(x + x - 6 ) 
= 180 - 2x + 6 
= 186 - 2x</span>
7 0
3 years ago
Read 2 more answers
Adam borrowed $5,600 from the bank. The bank charges 4.2% simple interest each year.
Igoryamba

Answer:

$235.2

Step-by-step explanation:

Given data

Principal=  $5,600

Rate= 4.2%

Time= 1 year

The expression for the simple interest is given as

SI= PRT/100

substitute

SI= 5600*4.2*1/100

SI= 23520/100

SI=$235.2

Hence after 1 year he will pay $235.2

4 0
3 years ago
Part 1: This question has 2 parts. Tracy runs 2 miles on Monday, 2 miles on
anygoal [31]

Answer:

Part 1: m = ( 2•3 ) + 3

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Step-by-step explanation:

Add all the miles together

2+2+2= 6+ 3 =9

6 0
3 years ago
Can someone help me with this question?
elena55 [62]

Answer:

238

Step-by-step explanation:

28÷4=7

7x6=42

7x3=21

7x4=28

7x7=49

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84+63+49+42

147+49+42

147+91

238

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2 years ago
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