Two million,two hundred one thousand ,seven hundred sixty
Answer:
Step-by-step explanation:
Since there's no one one number you can add to one number in the sequence to get to the next number, this is not arithmetic. It must be geometric. We need then to find the common ratio. Let's start with the first 2 numbers, find a ratio, and then use it to test for accuracy.
10x = 15 and
x = 
If this is in fact a geometric sequence witha common ratio of 3/2, we should be able to multiply 15 by 3/2 to get to the next number in the sequence. Let's try it out:
Good. So the common ratio is 3/2. The formula for an explicit geometric formula is
where a1 is the first number in the sequence and r is the common ratio. Filling in:
Answer:
y = 2/3x + 4
Step-by-step explanation:
First, we look at where the equation intersects the y axis. It intersects at y = 4, which means that in the end of the equation there must be a "+4", so we can rule out the first two.
Second, we look at the slope of the line. Slope is defined as rise over run. As you can see in the graph, the line moves up 2 units while moving right 3 units. That means the coefficient of x (which is the slope) will be 2/3, which means the answer is y = 2/3x + 4.
a) situation you’re familiar with where one quantity changes constantly in relation to another quantity is Velocity = Distance/Time
b) the velocity is in direct proportion to distance and inverse relation to time.
c) The graph shown by velocity- time is a straight line graph.
<h3>what is algebra?</h3>
Algebra is a branch of mathematics that deals with symbols or variables and uses arithmetic operations (+, –, ×, ÷) to find the unknown quantities represented by these variables.
There is a equation we are familiar with , the equation of motion
Velocity = Distance/Time
Here, velocity increases or decreases if the distance also increases or decreases. But if time increases velocity decreases.
So, the velocity is in direct proportion to distance and inverse relation to time.
The graph shown by velocity- time is a straight line graph.
Learn more about algebra here:
brainly.com/question/953809
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Answer:
Step-by-step explanation:
4). This is an exponential function.
5). Let the equation of this function is,
f(x) = a(b)ˣ
Since, two points (-1, 4) and (0, 6) are lying on the graph of the function,
For (-1, 4),
4 = a(b)⁻¹
4 = 
--------(1)
For (0, 6),
6 = a(b)⁰
a = 6
From equation (1),
4 = 
b = 
= 1.5
Therefore, equation of the function will be,
f(x) = 6(1.5)ˣ
6). Now the value of f(-4) will be,
f(-4) = 6(1.5)⁻⁴
= 1.185
