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Zigmanuir [339]
3 years ago
8

Solve the given system, using the substitution method. y = 3x – 4 9x – 3y = 14

Mathematics
1 answer:
bulgar [2K]3 years ago
5 0
y=3x-4 \\
9x-3y=14 \\ \\
\hbox{substitute 3x-4 for y in the 2nd equation:} \\
9x-3(3x-4)=14 \\
9x-9x+12=14 \\
12=14 \\
not \ true \\ \\
\boxed{\hbox{no solution}}
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A bag contains 3 red balls and 4 blue balls. 3 balls are selected at random. Find the probability of selecting 3 red balls. ​
QveST [7]

Answer:

Step-by-step explanation:

red balls=3

blue balls=4

total balls=3+4=7

probability of selecting 3 red balls=3/7 ×2/6×1/5=1/35

selecting 1 red ball=3/7

after selecting there are two red balls and total balls are 6

so now P=2/6

and so on .

3 0
2 years ago
What are the potential solutions of log4x+log4(x+6)=2?
lions [1.4K]

The potential solutions of log_4x+log_4(x+6)=2 are 2 and -8.

<h3>Properties of Logarithms</h3>

From the properties of logarithms, you can rewrite logarithmic expressions.

The main properties are:

  • Product Rule for Logarithms - log_{b}(a*c)=log_{b}a+log_{b}c
  • Quotient Rule for Logarithms - log_{b}(\frac{a}{c} )=log_{b}a-log_{b}c
  • Power Rule for Logarithms - log_{b}(a^c)=c*log_{b}a

The exercise asks the potential solutions for  log_4x+log_4(x+6)=2. In this expression you can apply the Product Rule for Logarithms.

                                  log_4x+log_4(x+6)=2\\ \\ x*(x+6)=4^2\\ \\ x^2+6x=16\\ \\ x^2+6x-16=0

Now you should solve the quadratic equation.

 

 Δ=b^2-4ac=36-4*1*(-16)=36+64=100. Thus, x will be x_{1,\:2}=\frac{-6\pm \:\sqrt{100} }{2\cdot \:1}=\frac{-6\pm \:10}{2}. Then:

x_1=\frac{-6+10}{2}=\frac{4}{2} =2\\ \\ \:x_2=\frac{-6-10}{2}=\frac{-16}{2} =-8

The potential solutions  are 2 and -8.

Read more about the properties of logarithms here:

brainly.com/question/14868849

4 0
2 years ago
I've been looking in the study guide but can't find how to solve it
OLga [1]
The answer is -1/16 or -0.0625, do you need to see work?
6 0
3 years ago
Read 2 more answers
Please help, would be greatful :)
tankabanditka [31]

Answer:

x ≈ 25.5°

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

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

<u>Step 1: Identify Variables</u>

Angle θ = <em>x</em>°

Opposite Leg = 10

Hypotenuse = 21

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

  1. Substitute [tangent]:                    tanx° = 10/21
  2. Inverse trig:                                  x° = tan⁻¹(10/21)
  3. Evaluate:                                      x = 25.4633°
  4. Round:                                          x ≈ 25.5°
8 0
3 years ago
Find the perimeter.
likoan [24]

A just took the test

6 0
3 years ago
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