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2 years ago

Help me with the following It's inequalities... in case you're wondering..

Mathematics

1 answer:

rodikova [14]2 years ago

4 0

Answer:

11. x ≥ -2

12. x < -1

Step-by-step explanation:

11. The solid dot at -2 indicates that is part of the solution. The line to the right covers all the numbers greater than -2. Since -2 is also included, the inequality represented is ...

x ≥ -2

12. The open dot at -1 indicates that -1 is not included in the solution. The line extending to the left covers all numbers less than -1, so the inequality represented is ...

x < -1

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Two sisters drove 144 miles on a camping trip. They averaged at least 32 miles per gallon on the trip. Describe the number of ga

guajiro [1.7K]

The answer should be 4.5 because they used AT LEAST 32 miles per gallon. So, 144/32=4.5 and since it's AT LEAST 32, 4.5 is the max amount used.

5 0

3 years ago

Read 2 more answers

The sum of two numbers is -26. One number is 148 less than the other. Find the numbers

maks197457 [2]

Answer:

61 and -87

Step-by-step explanation:

If the numbers are x and x - 148, we can write the following equation:

x + x - 148 = -26

2x - 148 = -26

2x = 122

x = 61 so x - 148 = 61 - 148 = -87

5 0

2 years ago

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

1 year ago

I ready diagnostic time!!

Dimas [21]

Answer:

I think choose (D)

$\frac{4}{10} and \frac{10}{25}$