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Algebra II

Factor the terms in each set, then identify the greatest common factor.
a) 6, 15n
b) 4m, m²

usagirl007A 2021-08-13

Arithmetic or Geometric?
a) If $a_{1}, a_{2}, a_{3}, \dots$ is an arithmetic sequence, is the sequence $a_{1} + 2, a_{2} + 2, a_{3} + 2, \dots$ arithmetic?
b) If $a_{1}, a_{2}, a_{3}, \dots$ is a geometric sequence, is the sequence $5 a_{1}, 5 a_{2}, 5 a_{3}, \dots$ geometric?

DofotheroU 2021-08-13

In the following exercises, determine if the sequence is arithmetic, geometric, or neither. If arithmetic, then find the common difference. If geometric, then find the common ratio.
Write the first five terms of the geometric sequence with the given first term and common ratio. $a_{1} = 6$ and $r = - 2$

babeeb0oL 2021-08-13

Please, write the logarithm as a ratio of common logarithms and natural logarithms.
$\frac{\log_{1}}{7} (4)$
a) common logarithms
b) natural logarithms

ossidianaZ 2021-08-13

Write the following logarithms in terms of the natural logarithm. Then use a calculator to find the value of the logarithm, rounding your result to four decimal places.
$\log_{2} {15}$

preprekomW 2021-08-12

To find:
The period of a pendulum 3.5 ft long using $t = 2 π \sqrt{\frac{L}{32}}$ .

illusiia 2021-08-12

A party mix is a mixture of nuts that are sold for $2.50 per kg to a cereal mixture that is sold for $1 per kg. How much of each needed to be added to obtain 60 kg of a mix that will be sold for $2.10 per kg?
Numbers of kilograms Price per kilogram(in dollars) Values(in dollars)
Nuts x 2.50
Cereal y 1.00
Mixture 2.10

geduiwelh 2021-08-12

Find all the real zeros of the polynomial.
$P (x) = 3 x^{3} + 5 x^{2} - 2 x - 4$

Kye 2021-08-12

Find the 72nd term or the arithmetic sequence -27, -11, 5,

boitshupoO 2021-08-12

A student bought a calculator and a textbook for a course in algebra. He told his friend that the total cost was $145(without tax) and that the calculator cost $20 more than four times the cost of the textbook. What was the cost of each item? Let $x =$ the cost of a calculator and $y =$ the cost of the textbook.

The corresponding modeling system is ${\begin{cases} x + y = 145 \\ x = 4 y + 20 \end{cases}$
Solve the system by using the method of substitution and enter the ordered pair.

Daniaal Sanchez 2021-08-12

A person is making a 5-gallon punch for a party that will consist of two different types of juices. apple and orange juice. They use at least 1 gallon of each type but want to use more apple than orange juice. Given that x represents the gallons of apple juice in the punch and y represents the gallons of orange juice in the punch, then create a system of equations and/or inequalities modeling the scenario. Select all that apply.
a) $x + y = 5$
b) $x - y = 5$
c) $x > y$
d) $x < y$

Tazmin Horton 2021-08-12

The height of the ball increases until it reaches a maximum height of 8 yards, 20 yards away from the player.
To find: Which kick travels further before hitting the ground.

Marvin Mccormick 2021-08-11

Explain please

Globokim8 2021-08-11

Use properties of logarithms to condense the logarithmic expression log 5 + log 2. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator.

CheemnCatelvew 2021-08-11

For each of the models listed below, predict y when x=2.
a) $y ˆ = 1.2 + 0.8 \log x$ ,
b) $\log y ˆ = 1.2 + 0.8 x$ ,
c) $\ln y ˆ = 1.2 + 0.8 \ln x$ ,
d) $y ˆ 2 = 1.2 + 0.8 x$ ,
e) $1 y ˆ \sqrt = 1.2 + 0.8 x$

Tammy Todd 2021-08-11

Moore’s law states that the maximum number of transistors that can fit on a silicon chip doubles every two years.
The function $f (x) = 42 {(1.41)}^{x}$
models the number of transistors, in millions, that can fit on a chip, where x is the number of years since 2000.
Using this model, in what year can a chip hold 1 billion transistors?

iohanetc 2021-08-11

Please, rewrite and simplify, if possible, the given logarithms
a) $\ln 8$ in terms of base 2 logarithms
b) $\log_{\frac{1}{2}} 4$ in terms of base 2 logarithms
c) $\log_{2} 1000$ in terms of common logarithms
d) $\log_{2} (e^{2})$ in terms of natural logarithms

Ramsey 2021-08-11

Rewrite the expression as a single logarithm and simplify the result.
ln $| \sin x | + \ln | \cot x |$

ossidianaZ 2021-08-11

To find: The year in which the 2006 cost of tution, room and board fees in public colleges will be doubled using the function $f (x) = 13.017 {(1.05)}^{x}$

Zoe Oneal 2021-08-11

To calculate: An even that occurs in the future may result in forward growth of percentage of women in labor force. It is good to use a square root function for modeling this trend.
The function, $f (x) = 3.5 \sqrt{x} + 38$ models the percentage of U.S women in the labor force, $f (x)$ and x years after 1960.

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