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creativ13 [48]
3 years ago
5

6. 3x + 3 = 2x + 12a. 9b. 6c. 3​

Mathematics
1 answer:
White raven [17]3 years ago
8 0

Answer:

  a.  9

Step-by-step explanation:

Observe that 2x is the x-term with the smallest coefficient, and that x-terms are found on both sides of the equal sign. Further, observe that constants are also found on both sides of the equal sign, and the constant on the side opposite 2x is 3.

To solve this, you don't want either of those terms, 2x or 3, where they are. Subtract that sum from both sides of the equation:

  3x +3 -(2x +3) = 2x +12 -(2x +3)

  x = 9 . . . . . . collect terms

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a tree casts a shadow that is 20 ft long. the angle of elevation of the sun is 29°. how tall is the tree?
mars1129 [50]
You can use the trig ratios. Draw a diagram to see which one is appropriate. 
Tan would be used.
Tan29=x/20
20Tan29=x
Put this into your calculator and see what you get
3 0
3 years ago
Which logarithmic equation is equivalent to the exponential equation below?
aleksandr82 [10.1K]

Option B: \ln 6=5 x is the correct answer.

Explanation:

The exponential equation is e^{5 x}=6

If f(x)=g(x), then \ln (f(x))=\ln (g(x))

Thus, the equation becomes

\ln \left(e^{5 x}\right)=\ln (6)

Applying log rule, \log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x) and thus the equation becomes

5 x \ln (e)=\ln (6)

Since, we know that, \ln (e)=1, using this we get,

5 x=\ln (6)

Hence, the logarithmic equation which is equivalent to the exponential equation e^{5 x}=6 is \ln 6=5 x

Thus, Option B is the correct answer.

7 0
3 years ago
Which ordered pair is not a solution to 2x + 3y = 12?
Irina-Kira [14]

Answer:

(2,3)

Step-by-step explanation:

(2)(2) + (3)(3) = 13

6 0
3 years ago
A line that passes through [-7,3] and [-6,-1]
juin [17]
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3 0
3 years ago
Jen deposits $9,500 into a bank account that pays her 4.5% simple interest for 5 years. How much interesrt will she earn over 5
ivanzaharov [21]

Answer:

$11838.7

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> </u>

<u>Algebra I</u>

Simple Interest Rate Formula: \displaystyle A = P(1 + r)^t

  • <em>P</em> is principle amount
  • <em>r</em> is rate
  • <em>t</em> is time

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>P</em> = 9500

<em>r</em> = 4.5% = 0.045

<em>t</em> = 5

<u>Step 2: Find </u><em><u>A</u></em>

  1. Substitute in variables [Simple Interest Rate Formula]:                                 A = 9500(1 + 0.045)⁵
  2. (Parenthesis) Add:                                                                                            A = 9500(1.045)⁵
  3. Evaluate exponents:                                                                                         A = 9500(1.24618)
  4. Multiply:                                                                                                             A = 11838.7
4 0
3 years ago
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