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Fynjy0 [20]
3 years ago
6

I am not sure how to slove

Mathematics
1 answer:
notsponge [240]3 years ago
5 0

First .... the limit of the given function is NOT EQUAL to 5 (it diverges so it has no limit).  There is a typo.  The 14 should be positive.

\lim_{x \to\ 7} \bigg(\dfrac{x^2-9x+14}{x-7}\bigg)=5

The precise definition of a limit is:

\text{If for every } \epsilon>0\text{ there exists a }\delta >0\text{ such that}\\|f(x)-L|

Given:

f(x) = \dfrac{x^2-9x+14}{x-7}\\\\L=5\\\\a=7\\\\\\|f(x)-L|

⇒ \epsilon = \delta

When ε = 0.1,     δ = 0.1

When ε = 0.01,   δ = 0.01

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Sally is making pillow covers. The last step is to add trim. She purchased 1 yard of trim, but used 3/8 of it on another project
makkiz [27]

Answer:

5/16 of a yard per pillow

Step-by-step explanation:

1. Divide 5/8 by 2 (or 2/1)

2. 5/8 * 1/2 (following the division of fraction models of 'keep, change, flip'

5*1 = 5 and 8 * 2 = 16      5/16

6 0
3 years ago
What is 5x + 12 < 2 ?
Masja [62]

Answer:

x < -2

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

<u>Algebra I</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

5x + 12 < 2

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Subtraction Property of Equality] Subtract 12 on both sides:                       5x < -10
  2. [Division Property of Equality] Divide 5 on both sides:                                 x < -2
5 0
2 years ago
Read 2 more answers
Will Mark Brainliest ! Please Answer Quickly!!!!!!!!!!!! 18+pts!!
arlik [135]

I'm pretty sure the answers are correct because on the question it says for every 8ft is one inch

7 0
3 years ago
The diameter of a circle is 23 inches and the circle has two chords of length 14 inches what is the distance from each chord to
Svetradugi [14.3K]

Answer:

9.12 + 9.12 = 18.24 inches

Step-by-step explanation:

Diameter = 23 inches (given)

Radius = 11.5 inches

2 Chords of length = 14 inches ( You didn't specify if the 14 inches is for both chords or for a single cord. I'll assume it's for two cords 14 and 14inches apart.

To clearly solve this, we'll make some mild assumptions.

Let the perpendicular distance of the chords from the center of the circle to represented as " x and y"

Therefore:

x^2 + 7^2 = 11.5 ^ 2

x^2 + 49 = 132.25

x^2 = 132.25 - 49

x^2 = 83.25

x = √ 83.25

x = 9.12 inches

Since the cords have thesame length (Assumed from the way the question was structured, the distance would still be thesame)

y^2 + 7^2 = 11.5 ^ 2

y^2 + 49 = 132.25

y^2 = 132.25 - 49

y^2 = 83.25

y = √ 83.25

y = 9.12 inches

Therefore, the distance will be :

9.12 + 9.12 = 18.24 inches

Have fun!

6 0
3 years ago
CAN SOMEONE PLEASE HELP ME
Evgesh-ka [11]

Answer:

BDE- 85

EDG- 50

FDG- 60

CDA- 85

Step-by-step explanation:

6 0
2 years ago
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