0.83 * 100 = 83, so 0.83 = 83/100.
But in case you meant the slightly more interesting repeating decimal, 0.8333...:
Let <em>x</em> denote this number. Then
10<em>x</em> = 8.333...
100<em>x</em> = 83.333...
==> 100<em>x</em> - 10<em>x</em> = 83.333... - 8.333...
==> 90<em>x</em> = 83 - 8 = 75
==> <em>x</em> = 75/90 = 5/6
FOIL (distriute)
tells how to multiply which ones
First terms
Inner terms
Outer terms
Last terms
(2n+2)(6n+1)
First (2n times 6n=12n^2)
Inner (2 times 6n=12n)
Outer (2n times 1=2n)
Last (2 times 1=2)
add them
12n^2+12n+2n+2
12n^2+14n+2
Answer:
(d) (4x² +7)(x -3)
Step-by-step explanation:
This polynomial can be factored by factoring pairs of terms.
= (4x³ -12x²) +(7x -21)
= 4x²(x -3) +7(x -3)
= (4x² +7)(x -3)
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<em>Additional comment</em>
The answer choices suggest we're not interested in irrational or complex factors. The quadratic (4x² +7) could be factored into linear terms involving irrational complex numbers. The form for "difference of squares" would be used for the purpose.
Answer:
y = 14 + 2x
Step-by-step explanation:
Answer:
you would grid 14 on the right of a number line since it is a positive number