Answer:
so
slope is calculated this way:
let's calculate y init by:
3 = -3×2 + b
b = 9
so equation is:
y=-3x+9
What is the next number in the pattern 2,4,8,16,32....
2 answers:
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The curve is a linear equation.
<h3>What type of curve is the given equation?</h3>
It is actually a linear equation, meaning that this is a straight line, not a an actual "curve".
To view the "shape" of the curve, you need to graph it.
You could use a program or do it by hand, to do it by hand, you need to evaluate a lot of points of the equation, and then graph them to see the general behavior of the equation.
In this case, I graphed it with a program, and in the image, you can see that this is a linear equation that decreases as the variable increases.
If you want to learn more about linear equations, you can read:
Both problems give you a function in the second column and the x-values. To find out the values of a through f, you need to plug in those x-values into the function and simplify!
You need to know three exponent rules to simplify these expressions:
1) The negative exponent rule says that when a base has a negative exponent, flip the base onto the other side of the fraction to make it into a positive exponent. For example,
.
2) Raising a fraction to a power is the same as separately raising the numerator and denominator to that power. For example,
.
3) The zero exponent rule<span> says that any number raised to zero is 1. For example,
.
</span>
Back to the Problem:
Problem 1
The x-values are in the left column. The title of the right column tells you that the function is
. The x-values are:
<span>1) x = 0
</span>Plug this into
to find letter a:
<span>
2) x = 2
</span>Plug this into to find letter b:
<span>
3) x = 4
</span>Plug this into to find letter c:
<span>
Problem 2
</span>The x-values are in the left column. The title of the right column tells you that the function is
. The x-values are:
<span>1) x = 0
</span>Plug this into
to find letter d:
<span>
2) x = 2
</span>Plug this into to find letter e:
<span>
3) x = 4
</span>Plug this into to find letter f:
<span>
-------
Answers:
a = 1
b = </span>
<span>
c = </span>
d = 1
e =
f =
You need to know three exponent rules to simplify these expressions:
1) The negative exponent rule says that when a base has a negative exponent, flip the base onto the other side of the fraction to make it into a positive exponent. For example,
2) Raising a fraction to a power is the same as separately raising the numerator and denominator to that power. For example,
3) The zero exponent rule<span> says that any number raised to zero is 1. For example,
</span>
Back to the Problem:
Problem 1
The x-values are in the left column. The title of the right column tells you that the function is
<span>1) x = 0
</span>Plug this into
<span>
2) x = 2
</span>Plug this into
<span>
3) x = 4
</span>Plug this into
<span>
Problem 2
</span>The x-values are in the left column. The title of the right column tells you that the function is
<span>1) x = 0
</span>Plug this into
<span>
2) x = 2
</span>Plug this into
<span>
3) x = 4
</span>Plug this into
<span>
-------
Answers:
a = 1
b = </span>
c = </span>
d = 1
e =
f =