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3 years ago

Avery solves the equation below by first squaring both sides of the equation.

Mathematics

1 answer:

son4ous [18]3 years ago

5 0

Answer:

z = -1 and 7/3

Step-by-step explanation:

after squaring each side you get:

z² + 8 = (1 - 2z)²

z² + 8 = 1 - 4z + 4z²

combine like terms to get this trinomial:

3z² - 4z - 7, which has factors of (3z - 7)(z + 1)

therefore, z = 7/3 and z = -1

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Jim needs to rent a car. A rental company charges $21.0 per day to rent a car. and $0.10 for every mile driven. He will travel 2

olga nikolaevna [1]

Answer:

He cant rent the car for 5 days

Step-by-step explanation:

21 * 5 = 105

0.10 * 250 = 25

105 + 25 = 130

He only has 115 to spend

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3 years ago

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How do i solve this exponential equation<br>

Novay_Z [31]

Answer:

x = 0 or 1/2

Step-by-step explanation:

Solving an exponential equation of this nature with different bases and coefficients is always a bit of an ad hoc affair. Here, we can divide by the right side expression and make a substitution that turns it into a quadratic.

$3\cdot16^x+2\cdot81^x=5\cdot36^x\\\\0.6\left(\dfrac{4}{9}\right)^x+0.4\left(\dfrac{9}{4}\right)^x=1\\\\\textsf{Let $z=\left(\dfrac{4}{9}\right)^x$}\\\\0.6z+\dfrac{0.4}{z}=1\qquad\text{after substitution}\\\\3z^2-5z +2 = 0\qquad\text{multiply by $5z$ and put in standard form}\\\\(3z-2)(z-1)=0\qquad\text{factor}\\\\z=\dfrac{2}{3}\quad\text{or}\quad z=1\\\\x=\dfrac{\log(z)}{\log(4/9)}=\boxed{\dfrac{1}{2}\quad\text{or}\quad 0}$

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<em>Additional comment</em>

A graphing calculator often solves these very nicely, especially when the equation is put into the form f(x) = 0.

3 0

2 years ago

A convenience store purchased a magazine and marked it up 100% from the original cost of $2.30. A week later, the store placed t

77julia77 [94]

Answer:

$2.30

Step-by-step explanation:

The original price is $2.30 an it goes up by 100% which means another 2.30. So add 2.30 and 2.30 together you get 4.60 now divide that by two since the magazine is 50% off and you get the original price which was 2.30

5 0

3 years ago

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The solution generated by the calculator is 5.779E–8. Describe how to interpret the solution.

Lostsunrise [7]

Answer:

5.779 x 10^-8 =0.00000005779

Step-by-step explanation:

The E-8 at the end means the number is multiplied by 10^-8.

So 5.779E-8=5.779 x 10^-8

A negative power means move the decimal place that many places to the left

So 5.779 x 10^-8 =0.00000005779

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3 years ago

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If (x-1)/(x)=20 then x=

nadezda [96]

$D:x\neq0\\\\\frac{x-1}{x}=20\ \ \ \ |cross\ multiply\\\\20x=x-1\ \ \ \ |subtract\ x\ from\ both\ sides\\\\19x=-1\ \ \ \ \ \ |divide\ both\ sides\ by\ 19\\\\\boxed{x=-\frac{1}{19}}$

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3 years ago

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