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Tom [10]
3 years ago
7

Show work please ! :)

Mathematics
1 answer:
Papessa [141]3 years ago
6 0

Answer:

\dfrac{7}{3}

Step-by-step explanation:

\log_7(9p-5)=4\cdot \log_72

\log_7(9p-5)=\log_72^4 \\\\9p-5=2^4 \\\\9p-5=16 \\\\9p=21 \\\\p=\dfrac{7}{3}

Hope this helps!

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Answer:

Undefined or original dividend

Step-by-step explanation:

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7 0
4 years ago
Classify the system of equations -1/2x=3-y -7+y=1/2x-2
miskamm [114]

Answer: Inconsistent.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Solve for "y" in each equation:

<em>Equation 1</em>

-\frac{1}{2}x=3-y\\\\y=\frac{1}{2}x+3

<em>Equation 2</em>

<em> -7+y=\frac{1}{2}x-2\\\\y=\frac{1}{2}x-2+7\\\\y=\frac{1}{2}x+5</em>

<em> </em>

You can notice that the slope of the <em>Equation 1 </em>is:

m_1=\frac{1}{2}

And the slope of the <em>Equation 2 </em>is:

m_2=\frac{1}{2}

Observev that m_1=m_2, then you can conclude that the lines are parallel and the System of equations has No solution.

When there is no solution the classification  of the system of equations is: "Inconsistent".

<em> </em>

5 0
4 years ago
Write the quadratic function in vertex form: f(x) = 4x2 + 2x -5
Andrei [34K]
Please use " ^ " to denote exponentiation:  <span>f(x) = 4x^2 + 2x -5.  To find the vertex form of this equation, complete the square:

f(x) = 4x^2 + 2x                                           - 5
      = 4(x^2 + (2/4)x)                                         - 5
      =  4(x^2 + (1/2)x )                                  -5
      = 4(x^2 + (1/2)x + 1/16  ) - 4/16 - 5
      = 4(x+1/4) - 21/4    <= in vertex form

Here h= -1/4 and k = -21/4.  The vertex is at (-1/4, -21/4)</span>
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3 years ago
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Step-by-step explanation:

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