We have that <span>
</span>
the expression is (300)*(3^m)
for m=-1
(300)*(3^-1)---------> (300)*(1/3)=100
The value of expression at m=-1 is 100, so there
were 100 visitors 1 months before the number of visitors was measured
Answer:
2a: (c)
5o: (1, 3) and (1,1)
3a: (b)
1a: (d)
4o: (b)
Step-by-step explanation:
2a: the equation of a circle circumference needs to be transformable to the form
where
is the center and <em>r</em> is the radius. (a) and (d) can’t be it because they contain non-zero factors on <em>xy</em>. (b) isn’t an equation.
5o: just put the given (<em>x</em>, <em>y</em>) into the equations and see if it holds. (2, 3) isn’t on the circumference of (1) because
, (3, 1) isn’t on it either because
.
3a: calculate the value of the left-hand side term of the equation using (<em>x</em>, <em>y</em>) from the given point <em>M</em>. That’s the difference of square distance to the center to the square radius
. Thus it’s 0 if the point is on the circumference, negative if inside and positive if outside. You get
, positive, so it’s outside the circle.
1a: see definition from 2a. Here,
.
4o: insert the y from the straight line equation (r) (which can be equivalently transformed to
) into the circumference equation. If it yields no solution, that’s outside, it there’s exactly one solution, that’s a tangent and if there are two solutions, it’s a secant.
There are two solutions, so it’s a secant.
$45 x .15 = $6.75 discount
$45 - $6.75= $38.25
Sales tax 6%
$38.25 x 0.6 =$ 2.29
$38.25 + $2.29 = 40.54$
Jeans total is 40.54$
2x^2+20x=-38 divide both sides by 2
x^2+10x=-19, halve the linear coefficient, square it, than add that value to both sides of the equation, in this case add (10/2)^2=25...
x^2+10x+25=6 now the left side is a perfect square
(x+5)^2=6 take the square root of both sides
x+5=±√6 subtract 5 from both sides
x=-5±√6 (so answer c.)
Its defined only for three dimensional vectors.
it would be written as "a x b"
hoped this helped a bit