Answer:
y = 3x + 9
Step-by-step explanation:
y = 3x + 6
Parallel slope = 3
(-2, 3)
Slope-intercept:
y - y1 = m(x - x1)
y - 3 = 3(x + 2)
y - 3 = 3x + 6
y = 3x + 9
Answer / Step-by-step explanation:
In this exercise, we know that the agency collected 1,829 bullets which according to the agency, all came from different source.
The number of pair of bullet is :
(1,829) = 1, 829 ! / 2! ( 1,829 - 2 ) = 1, 829 x 1,828 x 1827 ! / 2 x 1 x 1,827
( 2 )
= 6, 108,413,724 / 3654
= 1671,706.
Also, we know that the agency found 658 matches. According to this, the chance of false positive ( that is, the agencies find a match but the bullets are from two different source ) is
P (False positive ) = 658 / 671,706
= 0.000979.
The probability is small to an extent, therefore, we should have confidence in the agency forensic report and evidence
Answer: The unite rate is $5 per cup of coffee.
Step-by-step explanation:
20/4= 5
Answer:
y = x^2/ 60 + 15
=>( x - h)^2 = 4a[ (x^2/6 + 15) - k ].
Step-by-step explanation:
Okay, in order to solve this question very well, one thing we must keep at the back of our mind is that the representation for the equation of a parabola is given as ; y = ax^2 + bx + c.
That is to say; y = ax^2 + bx + c is the equation for a parabola. So, we should be expecting our answer to be in this form.
So, from the question above we are given that "the satellite dish will be in the shape of a parabola and will be positioned above the ground such that its focus is 30 ft above the ground"
We will make an assumption that the point on the ground is (0,0) and the focus is (0,30). Thus, the vertex (h,k) = (0,15).
The equation that best describes the equation of the satellite is given as;
(x - h)^2 = 4a( y - k). ------------------------(1).
[Note that if (h,k) = (0,15), then, a = 15].
Hence, (x - 0)^2 = (4 × 15) (y - 15).
x^2 = 60(y - 15).
x^2 = 60y - 900.
60y = x^2 + 900.
y = x^2/ 60 + 15.
Hence, we will have;
(x - h)^2 = 4a[ (x^2/6 + 15) - k ].
Answer:
True
Step-by-step explanation:
As there are infinite numbers, the list of multiples are also infinite.
Multiples of 6 : 6, 12 , 18 , 24 ..............
