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Len [333]
2 years ago
15

What is the 7th term of the geometric sequence where a1 = 625 and a2 = −125?

Mathematics
1 answer:
allsm [11]2 years ago
8 0
The seventh term of the sequence is
-1
—
25
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How do u solve -8+10
Pachacha [2.7K]
If you were on a number line you go over 10 numbers to the left. Therefore, you will pass all of these numbers...
-7,-6,-5,-4,-3,-2,-1,0,1,2. Your answer will be 2.
7 0
3 years ago
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A quadratic equation is shown: x2 + 18x + 76 = 0 Which of the following is the first correct step to write the above equation in
tia_tia [17]

Answer:

  x^2 + 18x + 76 + 5 = 0 + 5

Step-by-step explanation:

The first step is to determine the constant that is needed to be able to write the expression in the desired form. That constant is the square of half the x-term coefficient: (18/2)^2 = 9^2 = 81.

The constant that is present is 76, which is 5 fewer than the needed constant, so the "first step" is to add 5 to both sides of the equation:

  x^2 + 18x + 76 + 5 = 0 + 5

Then the next step would be to write the left side as a square:

  (x +9)^2 = 5 . . . . . . . p = -9; q= 5

4 0
3 years ago
When working with mean, what steps do you do to find the mean?
Temka [501]
The mean is the average...to find the mean, add up all the numbers, then divide by how many numbers there are.

Example :
ur set of numbers : 1,2,3,4
add up all the numbers and divide by how many there are :
(1 + 2 + 3 + 4) / 4 = 10/4 = 2.5...so 2.5 is ur mean (average)
3 0
3 years ago
For the graph shown, select the statement that best represents the given system of equations.
Marina86 [1]
The answer is C.<span>consistent and independent</span>
4 0
3 years ago
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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
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