Three possible answers are:
y = 2x-1
y = 5x-1
y = -3x-1
All of them have the same y intercept of -1. The slopes are the only thing that differ.
Any linear equation can be written in the form y = mx+b where
m = slope
b = y intercept
Answer:
50%
Step-by-step explanation:
If there are 4 parts to the spinner, 4 is the whole. Since there are 2 even numbers (2&4), the fraction would be
, which is simplified to
. And because
could also turn into
, the percentage is 50%.
Hope this helps :)
Step-by-step explanation:
÷6
First, simplify the 6
to an improper fraction, which is:

Next rewrite the equation using the improper fraction:
÷
Now, in order to divide the fraction, we will need to flip the second fraction over, and then multiply the two fractions together. A great way to remember this is the phrase <em>Copy Dot Flip - </em>Copy the first fraction, put a dot for multiplication, and flip the second fraction.
·
Finally, multiply together and simplify/reduce if needed:
<u>The final answer is </u>
<u> and no simplification or reduction is needed</u>
Answer:
13
Step-by-step explanation:
subtract 1 on both sides
then divide by 3
to get 13
<h3>
Answer: Yes they are equivalent</h3>
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Work Shown:
Expand out the first expression to get
(a-3)(2a^2 + 3a + 3)
a(2a^2 + 3a + 3) - 3(2a^2 + 3a + 3)
2a^3 + 3a^2 + 3a - 6a^2 - 9a - 9
2a^3 + (3a^2-6a^2) + (3a-9a) - 9
2a^3 - 3a^2 - 6a - 9
Divide every term by 2 so we can pull out a 2 through the distributive property
2a^3 - 3a^2 - 6a - 9 = 2(a^3 - 1.5a^2 - 3a - 4.5)
This shows that (a-3)(2a^2 + 3a + 3) is equivalent to 2(a^3 - 1.5a^2 - 3a - 4.5)