Name the property of real numbers illustrated by the equation .

Log; (3x+2) = log,(4x-6)

egoroff_w [7]

Answer:

x = 8

Step-by-step explanation:

Using the rule of logarithms

log x = log y ⇔ x = y

Given

log(3x + 2) = log(4x - 6), then

4x - 6 = 3x + 2 ( subtract 3x from both sides )

x - 6 = 2 ( add 6 to both sides )

x = 8

5 0

4 years ago

An exponential model shows the growth of a towns population in years. Identify the parts:

Semmy [17]

9514 1404 393

Answer:

2% growth per year
25,000 to start
12 years
31,706 currently

Step-by-step explanation:

The base of the exponent is (1 +0.02). The value 0.02 = 2% is the growth rate. It is positive, signifying a 2% rate of growth per year. (Negative values would mean decay.)

The number 25000 that multiplies the exponential term is the value of the expression when the exponent is zero. It represents the starting population.

The exponent is said to be in years, so the time is 12 years.

The current population is the value of the expression:

25,000(1.02^12) ≈ 31,706 . . . . current population

5 0

3 years ago

Identify the true statements if ∆XWT - ∆YAQ.

Natali [406]

Answer:

Step-by-step explanation:

Its A and c

5 0

3 years ago

Katherine is working two summer jobs, making $16 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she

kipiarov [429]

Answer:

Katherine need to work minimum 10 hours lifeguarding to meet her requirements

Step-by-step explanation:

Given:

Rate for Lifeguarding = $$16\ per\ hour$

Rate for walking dogs = $$6 \ per\ hour$

She had worked 2 hours walking dog

Money for walking dogs = Rate for walking dogs $\times$ hours worked= $\$6\times2=\$12$

she can work a maximum of 15 total hours and must earn at least $160.

Let hours required for lifeguarding be x

Money for life guarding = Rate for walking dogs $\times$ hours worked for lifrguarding= $\$16 \timesx=16x$

Total Money she must earn = Money for lifeguarding + Money for walking dogs

$16x+12=160\\16x=160-12\\16x=148\\x=\frac{148}{16}=9.25 \ hours$

Rounding to nearest hour

Katherine need to work minimum 10 hours lifeguarding to meet her requirements

7 0

3 years ago

A sequence of two transformations that can be used to show that polygon ABCDE is congruent to polygon GFJIH

Burka [1]

Two transformations that can be used to show that polygon ABCDE is congruent to polygon GFJIH : <u>rotation -90° and translation (0,2)</u>

<h3>Further explanation</h3>

There are several forms of transformation, including translation, dilation, rotation or reflection

There are 2 shapes of geometry:

Similar figures:

the same shape but different in size,

Congruent figures:

the same size and the same shape

Both polygons will appear congruent if, after being transformed, the two polygons will map exactly to each other

A sequence of two transformations e can do is :

1. rotation -90°

Let point H(4,1) from polygon GFJIH , we rotate -90°

$\left[\begin{array}{ccc}x'\\y'\end{array}\right]=\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}4-6\\1+1\end{array}\right]+\left[\begin{array}{ccc}6\\-1\end{array}\right]\\\\=\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}-2\\2\end{array}\right]+\left[\begin{array}{ccc}6\\-1\end{array}\right]\\\\=\left[\begin{array}{ccc}8\\1\end{array}\right]$

2. translation (0,2)

$\left[\begin{array}{ccc}8\\1\end{array}\right]+\left[\begin{array}{ccc}0\\2\end{array}\right]=\left[\begin{array}{ccc}8\\3\end{array}\right]$

<h3 /><h3>Learn more</h3>

brainly.com/question/13715226

Keywords: transformation, translation, rotation

#LearnWithBrainly

7 0

3 years ago

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