ANSWER
<span>will produce a slope field with rows of parallel tangents
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EXPLANATION
A differential equation that is a function of y only does not depend on x, i.e. of the form dy/dx = f(y), where f is a function.
Therefore, the slope field will be independent of the horizontal position. This means that there will be rows where the slopes will be of the same rise/run ratio. When two slopes are the same, they are said to be parallel.
Okay this is simple once you get use to it. What you first need to do is figure out the formula. I don’t have a calculator on me so I will just tell you the formula so you can get the answer
: 1/3 times 8 times 6 times 10
This is a geometric sequence because each term is a constant multiple, called the common ratio, of the previous term. In this case the common ratio, noted as "r", is:
8/-2=-32/8=128/-32=r=-4
The first term is -2
Any geometric sequence can be expressed as:
a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number.
Since we know r and a for this problem already we can say:
a(n)=-2(-4)^(n-1)
Answer:
1 solution
Step-by-step explanation:
y = 1/2x + 4
x + 2y = -8
Solve the second equation for y.
2y = -x - 8
y = -1/2x - 4
The two equations in slope-intercept form are:
y = 1/2x + 4
y = -1/2x - 4
The system consists of two lines with different slopes, so they intercept at a single point which is the solution.
Answer: 1 solution
Answer:
x² - 7x - 18
Step-by-step explanation:
Remember to follow FOIL.
First, multiply the first. (x)(x) = x²
Next, multiply the second. (x)(2) = 2x
Then, multiply the third. (-9)(x) = -9x
Finally, multiply the last. (-9)(2) = -18
Combine like terms: x² + 2x - 9x - 18
x² - 7x - 18
x² - 7x - 18 is your answer.
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