Answer: slope: 3/2
y-intercept: 0,4
Step-by-step explanation:
Independence Day, commonly known as the Fourth of July, is a federal holiday in the United States commemorating the adoption of the Declaration of Independence on July 4, 1776, declaring independence from the Kingdom of Great Britain.
Written as an expression, the statement 'the sum of the square of a number and 34' would look like this:
Hope that helped! =)
The price of each caramel macchiato is $5.60
What is the correct function in this case?
The appropriate function is the one that considers the initial amount of $35 , the amount spent for 5 caramel macchiatos, and the balance left which is $7 after the purchase
This means the $35 minus the amount spent equals $7
let us assume that the price per item is x for 5 items, then he spent 5x
35-5x=7
35-7=5x
28=5x
x=28/5
x=$5.60
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Answer:
1/5 + 2/5 i sqrt(6) = .2 + .98i
1/5 - 2/5 i sqrt(6) = .2 - .98i
Step-by-step explanation:
5z^2−9z=−7z−5
We need to get all the terms on one side (set the right side equal to zero)
Add 7z to each side
5z^2−9z+7z=−7z+7z−5
5z^2−2z=−5
Add 5 to each side
5z^2−2z+5=−5 +5
5z^2−2z+5=0
This is in the form
az^2 +bz+c = 0 so we can use the quadratic formula
where a = 5 b = -2 and c = 5
-b± sqrt(b^2-4ac)
-------------------------
2a
-(-2)± sqrt((-2)^2-4(5)5)
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2(5)
2± sqrt(4-100)
-------------------------
10
2± sqrt(-96)
-------------------------
10
2± sqrt(16)sqrt(-1) sqrt(6)
-------------------------
10
2± 4i sqrt(6)
-------------------------
10
1/5 ± 2/5 i sqrt(6)
Splitting the ±
1/5 + 2/5 i sqrt(6) = .2 + .98i
1/5 - 2/5 i sqrt(6) = .2 - .98i
