What is the property of a+(b+12)=(b+12)+a

What is the missing term? 4/5 = 2/3 = 4/5 x

Naya [18.7K]

Answer:

I'm not sure, can you post any options?

6 0

2 years ago

Write the equation of the line graphed below in Point-Slope form. Use the point labeled on the graph. State the slope and point.

saw5 [17]

Given:

The graph of a line.

To find:

The point-slope form of the given line.

Solution:

From the given graph it is clear that the line passes through the point (1,5) and (0,-1). So, the slope of the line is:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{-1-5}{0-1}$

$m=\dfrac{-6}{-1}$

$m=6$

The slope of the line is 6 and it passes through the point (1,5). So, the point slope form of the line is:

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

$y-5=6(x-1)$

Therefore, the point-slope form is $y-5=6(x-1)$ , slope is 6 and the point is (1,5).

6 0

3 years ago

Please answer as quick as you can! Answer questions 1-3 please!

Aliun [14]

1) his time would have to be less than 11.54
2)each member would have to run a time of about 11.91
3) Assuming that Dwane ran a time of 11.53 the average amount of time it took each member to run the 100 meters will be about 12.2 seconds per 100 meters

6 0

2 years ago

Identify THREE vocabulary words that also refer to x-intercepts.

Marianna [84]

Answer:

X-intercepts are also called zeros, roots, solutions, or solution sets.

7 0

3 years ago

Read 2 more answers

The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price

likoan [24]

Answer:

A) 3%

B) Product A

Step-by-step explanation:

Exponential Function

General form of an exponential function: $y=ab^x$

where:

a is the initial value (y-intercept)
b is the base (growth/decay factor) in decimal form
x is the independent variable
y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

Part A

Product A

Assuming the function for Product A is exponential:

$f(x) = 0.69(1.03)^x$

The base (b) is 1.03. As b > 1 then it is an increasing function.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, product A is increasing by 3% each year.

Part B

$\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100$

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

$\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%$

Check using different two consecutive values of f(t):

$\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%$

Therefore, as 3% > 1%, Product A recorded a greater percentage change in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

a = 10,100
b = 1.01
n = t - 1 (as the initial value is for t = 1 not t = 0)

$\implies f(t) = 10100(1.01)^{t-1}$

To check this, substitute the values of t for 1 through 4 into the found function:

$\implies f(1) = 10100(1.01)^{1-1}=10100$

$\implies f(2) = 10100(1.01)^{2-1}=10201$

$\implies f(3) = 10100(1.01)^{3-1}=10303.01$

$\implies f(4) = 10100(1.01)^{4-1}=10406.04$

As these values match the values in the given table, this confirms that the found function for Product B is correct and that Product B increases by 1% per year.

4 0

2 years ago