What is x?: 8+9.8x+9=3.8x

Given the following exponential function, identify whether the change represents

Pavel [41]

Answer:

3%

Step-by-step explanation:

This equation represents exponential decay. Whenever the base is less than 1, the function represents decay. When the base is greater than 1, the function represents growth. In this case, the base is .97 which is less than 1, representing decay.

The formula for exponential decay is y=a(1-r)x.

r is the decay rate, expressed as a decimal.

In this case, r = .03 which represents 3%!

7 0

3 years ago

Which expression is equivalent 1/3x(9y-12)

chubhunter [2.5K]

Answer:

$3y - 4$

Step-by-step explanation:

Step 1: Distribute

$1/3 * (9y - 12)$

$(1/3 * 9y) + (1/3 * -12)$

$(3y) + (-4)$

$3y - 4$

Answer: $3y - 4$

6 0

3 years ago

Read 2 more answers

What are the coordinates of the centroid of a triangle with vertices A(−3, 1) , B(1, 6) , and C(5, 2) ? Enter your answer in the

kirza4 [7]

ANSWER: The centroid is (1,3)

Explanation:

The centroid is the intersection of the medians of the triangle.

So we need to find the equation of any two of the medians and solve simultaneously.

Since the median is the straight line from one vertex to the midpoint of the opposite side, we find the midpoint of any two sides.

We find the midpoint of AC using the formula;

$N=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

$N=(\frac{-3+5}{2}, \frac{1+2}{2})$

$N=(\frac{2}{2}, \frac{3}{2})$

$N=(1, \frac{3}{2})$

The equation of the median passes through $B(1,6)$ and $N=(1, \frac{3}{2})$ .

This line is parallel to the y-axis hence has equation

$x=1$ -------first median.

We also find the midpoint M of BC.

$M=(\frac{1+5}{2}, \frac{6+2}{2})$

$M=(\frac{6}{2}, \frac{8}{2})$

$M=(3, 4)$

The slope of the median, AM is

$Slope_{AM}=\frac{4-1}{3--3}$

$Slope_{AM}=\frac{3}{6}$

$Slope_{AM}=\frac{1}{2}$

The equation of the median AM is given by;

$y-y_1=m(x-x_1)$

We use the point M and the slope of AM.

$y-4=\frac{1}{2}(x-3)$

$2y-8=(x-3)$

$2y-x=-3+8$

$2y-x=5$ -------Second median

We now solve the equation of the two medians simultaneously by putting $x=1$ in to the equation of the second median.

$2y-1=5$

$2y=5+1$

$2y=6$

$y=3$

Hence the centroid has coordinates $(1,3)$

7 0

3 years ago

Read 2 more answers

JA manufacturer determines that the cost of making a computer component is $3.161616. Write the repeating decimal cost as a fra

Bad White [126]

Answer:

The repeating decimal cost

a) As a fraction = $ $\frac{3161616}{1000000}$

b) As a mixed number = $ $3\frac{161616}{1000000}$

Step-by-step explanation:

The cost of making a computer component

= $3.161616

= $ 3 + 0.161616

Looking at the repeating decimal it is in 6 decimal places, hence to convert it to a fraction,

0.161616/ 1000000 × 1000000

= 161616/1000000

Therefore, the cost of making the computer component =

$3 + $161616/1000000

Step 1

We convert to a fraction

$3 + $161616/1000000

We find the LCM = 1000000

($3 × 1000000)+ ($161616× 1)/1000000

3000000 + 161616/1000000

= $ (3161616/1000000)

As a Mixed number = $3\frac{161616}{1000000}$

8 0

3 years ago

1. What is the equation for the Standard Form of a Line?

likoan [24]

Answer: Hi there

Standard Form: the standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. The standard form of a line is just another way of writing the equation of a line.

Brainliest?

:D

3 0

3 years ago

What is x?: 8+9.8x+9=3.8x - 16+3.8x