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3 years ago

The slope of _____ lines to 0.

Mathematics

1 answer:

Sedbober [7]3 years ago

4 0

Answer:

A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0). because division by zero is an undefined operation

Step-by-step explanation:

I hope I'm helpful

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Evaluate the function for the given value of x <br><br><br>f(n)=n^2-6n+7n at n=3 <br><br><br><br>

vagabundo [1.1K]

F(n)=13
3^2-6(3)+7(3)=12

6 0

3 years ago

From 1990 to 2000, the population of Florida increased by 2.13% per year. The population (in millions) in the year 1990 was 16 E

belka [17]

Answer:

19 million

Step-by-step explanation:

So generally whenever we express a exponential function, it's in the form: $y=a(b)^x$

where a=initial value aka when x=0

in this case, b can be expressed as: $1+r$ , where r is the growth rate, which in this case is 2.13%, and expressing that as a decimal (divide by 100), r=0.0213, thus b=1.0213

This gives us the following equation: $y=16(1.0213)^x$

To kind of give you a intuitive reason as to why this makes sense, think of that 1.0213 wrapping around the previous value.

So when x=0, it's actually just 16, since any number (besides 0) to the power of 0, equals 1.

When x=1, we get: $1.0213(16)$ , which can be expressed as a 2.13% increase from year 0

When x=2, we get: $1.0213(1.0213(16))$ , which can be expressed as a 2.13% increase from year 1

when x=3, we get: $1.0213(1.0213(1.0213(16)))$ , which can be expressed as a 2.13% increase from year 2.

In other words, each year we're getting another 1.0213 to multiply by (very definition of an exponent).

So to calculate the population in 1997, we put in x=7, since it's 7 years after 1990

We get the following equation: $y=16(1.0213)^7$

Using a calculator this simplifies to approximately: $18.5436$

Rounding this to the nearest integer would yield 19, and since the values are expressed in millions, the answer would be 19 million

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2 years ago

Give a example of two fractions with the quotient of 5/12

olasank [31]

Poorly phrased question, but the general answer is 5k/(12k), where k <span>∈ Z (i.e. k is an integer).

So, 5/12 and 10/24.</span>

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3 years ago

Terrence says pi is a rational number since it is the ratio of a circle’s circumference to its diameter. Why is Terrence incorre

QveST [7]

Terrence is not correct.

Terrence is not correct because pi is an irrational number, and it goes on forever with no actual sequence.

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3 years ago

If 3 + root8 by 3-root8 + 3-root8 by 3+root8 = a+broot2 find a and b

s2008m [1.1K]

If $\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}$ , the value of a and b is given as a = 34 and b = 0

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables or numbers.

$\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }\\ \\\frac{9+6\sqrt{8}+8+9-6\sqrt{8}+8 }{(3-\sqrt{8} )(3+\sqrt{8} )} \\\\\frac{34}{9-8} =34+0\sqrt{2}$

If $\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}$ , the value of a and b is given as a = 34 and b = 0

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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2 years ago