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2 years ago

What type of sequence fits with linear mathematical models?

Mathematics

2 answers:

Oxana [17]2 years ago

6 0

The <em><u>correct answer</u></em> is:

Arithmetic sequences.

Explanation:

An arithmetic sequence is a sequence in which each term is found by adding a constant to the previous term. Since we are adding a constant, the data increases or decreases at a constant rate; this describes a linear function. This is because when graphing the sequence, the distance between any two successive points is the same.

kiruha [24]2 years ago

4 0

Linear mathematical models describe real world applications with the use lines. For instance, a car going 50 mph, has traveled a distance represented by y=50x, where x is time in hours and y is miles. The equation and graph can be used to make predictions.

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1/2(4y+6)=4-2(y-6)/3

ANEK [815]

Answer:

-2

Step-by-step explanation:

hope it helps please mark me as brainliest

7 0

1 year ago

Please help me, thank you

alex41 [277]

Answer:

B 90

Step-by-step explanation:

By basic rules, all angles in a rectangle equal 90°

4 0

2 years ago

"a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 2 mi north to his place o

jasenka [17]

When you think of the situation as a whole, you may notice that the lines in the problem actually form a triangle. First, the man driving 10 miles east forms a bottom leg of the triangle 10 units long. When he drives the 2 miles north, he adds another leg of 2 units length. When the place of work is connected to the starting position through a line, a third and final line is drawn which creates the triangle.

So, how can we find the direct distance from his place of work to his home? We can use the Pythagorean Theorem ( $a^2 + b^2 = c^2$ , where $a$ and $b$ are the lengths of the legs of the triangle and $c$ is the length of the hypotenuse). We know that the lengths of the legs are 10 and 2, which we can use in the formula, as shown below:

$(10)^2 + (2)^2 = c^2$

Now, we can solve this equation for $c$ :

$\sqrt{(10)^2 + (2)^2} = c$

$\sqrt{104} = c \approx 10.2$

The distance would be √104 miles, or approximately 10.2 miles.

4 0

2 years ago

Please help thank you

Dvinal [7]

the tale-tell fellow is the number inside the parentheses.

if that number, the so-called "growth or decay factor", is less than 1, then is Decay, if it's more than 1, is Growth.

$\bf f(x)=0.001(1.77)^x\qquad \leftarrow \qquad \textit{1.77 is greater than 1, Growth} \\\\[-0.35em] ~\dotfill\\\\ f(x)=2(1.5)^{\frac{x}{2}}\qquad \leftarrow \qquad \textit{1.5 is greater than 1, Growth} \\\\[-0.35em] ~\dotfill\\\\ f(x)=5(0.5)^{-x}\implies f(x)=5\left( \cfrac{05}{10} \right)^{-x}\implies f(x)=5\left( \cfrac{1}{2} \right)^{-x} \\\\\\ f(x)=5\left( \cfrac{2}{1} \right)^{x}\implies f(x)=5(2)^x\qquad \leftarrow \qquad \textit{Growth} \\\\[-0.35em] ~\dotfill$

$\bf f(t)=5e^{-t}\implies f(t)=5\left( \cfrac{e}{1} \right)^{-t}\implies f(t)=5\left( \cfrac{1}{e} \right)^t \\\\\\ \cfrac{1}{e}\qquad \leftarrow \qquad \textit{that's a fraction less than 1, Decay}$

now, let's take a peek at the second set.

$\bf f(x)=3(1.7)^{x-2}\qquad \leftarrow \qquad \begin{array}{llll} \textit{the x-2 is simply a horizontal shift}\\\\ \textit{1.7 is more than 1, Growth} \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)=3(1.7)^{-2x}\implies f(x)=3\left(\cfrac{17}{10}\right)^{-2x}\implies f(x)=3\left(\cfrac{10}{17}\right)^{2x} \\\\\\ \textit{that fraction is less than 1, Decay} \\\\[-0.35em] ~\dotfill$

$\bf f(x)=3^5\left( \cfrac{1}{3} \right)^x\qquad \leftarrow \qquad \textit{that fraction is less than 1, Decay} \\\\[-0.35em] ~\dotfill\\\\ f(x)=3^5(2)^{-x}\implies f(x)=3^5\left( \cfrac{2}{1} \right)^{-x}\implies f(x)=3^5\left( \cfrac{1}{2} \right)^x \\\\\\ \textit{that fraction in the parentheses is less than 1, Decay}$

6 0

3 years ago

MovieMania, an online movie rental website charges a one-time fee of $6.85 and $2.99 Per movie rental. Let m represent the numbe

nasty-shy [4]

Answer:

C=6.85+2.99m, where:

C is the total cost to watch the movies

m is the number of movies you watch

Step-by-step explanation:

From the information provided, you can say that the total cost to watch the movies would be equal to the one-time fee plus the result of multiplying the price per movie for the number of movies you watch, which can be expressed as:

C=6.85+2.99m, where:

C is the total cost to watch the movies

m is the number of movies you watch

6 0

2 years ago