X = 1/3
4x + 2x - 2 = 0
6x - 2 = 0
+2 +2
6x = 2
/6 /6
X = 1/3
There you go. I’m pretty sure this is right.
9514 1404 393
Answer:
y = 3.02x^3 -5.36x^2 +5.68x +8.66
Step-by-step explanation:
Your graphing calculator (or other regression tool) can solve this about as quickly as you can enter the numbers. If you have a number of regression formulas to work out, it is a good idea to become familiar with at least one tool for doing so.
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If you're trying to do this by hand, the x- and y-values give you 4 equations in the 4 unknown coefficients.
a·1^3 +b·1^2 +c·1 +d = 12
a·3^3 +b·3^2 +c·3 +d = 59
a·6^3 +b·6^2 +c·6 +d = 502
a·8^3 +b·8^2 +c·8 +d = 1257
Solving this by elimination, substitution, or matrix methods is tedious, but not impossible. Calculators and web sites can help. The solutions are a = 317/105, b = -75/14, c = 1193/210, d = 303/35. Approximations to these values are shown above.
Answer:
7 ; 2 ; 8
Step-by-step explanation:
money for raffle= 350 pounds
money for quiz=14 multiplied by 4= 56
56+44= 100
money for membership fees= 20 multiplied by 20= 400
Ratio
Raffle :Quiz: Membership fees
350 : 100 : 400
35 : 10 : 40 (divided by 10)
7 : 2 : 8 (divided by 5)
it can not be simplified further
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The relevant trig relations are summarized by the mnemonic SOH CAH TOA. This means ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
So, for each triangle, determine the relationships of the given sides to the given angle: adjacent, opposite, or hypotenuse. Then write and solve the equation using one of the above templates.