Answer:
(4x -14)/3
Step-by-step explanation:
Assuming you intend mixed number coefficients, only the coefficients of x can be combined.
(-2 1/4)x +(3 7/12)x -(4 2/3) = x(-2 1/4 +3 7/12) -(4 2/3)
The mixed numbers are added in the usual way.
(-2 1/4) +(3 7/12) = (-2 +3) +(-1/4 +7/12) = 1 +(-3/12 +7/12) = 1 4/12 = 1 1/3
So the expression simplifies to ...
(1 1/3)x -(4 2/3)
This might be better written as ...
(4x -14)/3
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<em>Comment on mixed numbers</em>
It is hard to write mixed numbers so they can be properly interpreted in an algebraic expression. In general, they are better written as improper fractions or as decimal numbers (if the decimal terminates).
Answer:
2
Step-by-step explanation:
Step 1. <em>Find a coterminal angle that falls be 0 and 2π.
</em>
Remember that cscθ is a periodic function. It repeats every 2π radians.
If n is an integer, cscθ = csc(θ ± 2πn)
csc(17π/6) = csc(12π/6 + 5π/6)
= csc(2π + 5π/6)
= csc(5π/6)
Step 2. <em>Use the unit circle to evaluate cscθ.
</em>
cscθ = 1/sinθ
Let θ = 5π/6
In a unit circle (below), the sine of an angle is y.
sinθ = ½
cscθ = 1/sinθ
= 1/(½)
= 2
Answer:
107.5
Step-by-step explanation:
Answer:
39/28=1 11/28= 1.393
Step-by-step explanation:
Ok, think about it. What’s the definition of a irrational number? Can the number be converted to a fraction or be able to be turned into a decimal that repeats or terminates? If so your looking at a rational number. If it can’t be turned into a fraction or become a repeating or terminating decimal then your number is likely a irrational number. Hope this helps. And your number is a rational number.
