Sin-1 (3/5) = 36.869
cos 3/5 = 0.999
$269.15 discount 499.85 sales price
Step-by-step explanation:
If the price is $769 it's off 35% you turn the percent into a decimal which is .35 then you multiply it by the price of $769. You then get $269.15 for the discount price and then you subtract the regular price $769 from the discount price which is $269.15. So you get $499.85 as your answer
42-(6x6)+(6x5)
42-36+30
6+30
Answer: 36
OK. These problems are easy if you know the quadratic formula,
and they're impossible if you don't.
Here's the quadratic formula:
When the equation is in the form of Ax² + Bx + C = 0
then x = [ -B plus or minus √(B²-4AC) ] / 2A
I'm sure that formula is in your text or your study notes,
right before these questions. You should cut it out or
copy it, and tape it inside the cover of your notebook.
Then, you'll always have it when you need it, until
you have it memorized and can rattle it off.
The first question says 3x² + 5x + 2 = 0
Is this in the form of Ax² + Bx + C = 0 ?
Yes ! A=3 B=5 C=2
so you can use the quadratic formula to solve it.
x = [ -B plus or minus √(B²-4AC) ] / 2A
= [ -5 plus or minus √(5² - 4·3·2) ] / 2·3
= [ -5 plus or minus √(25 - 24) ] / 6
= [ -5 plus or minus √1 ] / 6
x = -4 / 6 = -2/3
and
x = -6 / 6 = -1 .
_______________________________________
The second question says
4x² + 5x - 1 = 0
Is this in the form of Ax² + Bx + C = 0 ?
Yes it is ! A=4 B=5 C= -1
so you can use the quadratic formula to solve it.
x = [ -B plus or minus √(B²-4AC) ] / 2A
Now, you take it from here.
Answer:
y = 3x - 2
Step-by-step explanation:
The 'rule' of a function table is the expression which you use to put in a value of 'x' to get the value of 'y'. In this case you can look at the table and look for a pattern of 'x' and 'y' values:
+1 +1 +1
x = 1 2 3 4
y = 1 4 7 10
+3 +3 +3
So, the 'x' is increasing by 1 each time and the y is increasing by 3. However, what is 'y' when 'x' is 0? Subtract 1 - 0 to get x = 0 and subtract 1 - 3 to get the value of 'y' or y = 1-3 = -2.
If we multiply x by 3 and subtract -2: 3x - 2, then we should get our value of 'y' each time:
y = 1(3) - 2 = 1
y = 2(3) -2 = 4
y = 3(3) - 2 = 7
y = 4(3) - 2 = 10
