Answer:
Position function is 
Step-by-step explanation:
Given
, since velocity is the antiderivative of acceleration, then
.
Also, since position is the antiderivative of velocity, then
.
The slope (m) and the ordered pairs are given.
In order to arrive at the standard form : AX + BY = C, we need to form the slope-intercept form first : y = mx + b
Substitute the values in order to get the intercept (b)
y = mx + b
5 = 5/4 * 4 + b
5 = 5 + b
b = 0
So given the m = 5/4, b = 0
y = mx + b
y = 5/4x+ 0
Converting it to Standard Form
y = 5/4x + 0
5/4x - y = 0 (multiply both sides by 4)
5x - 4y = 0
<span>So the Standard form is 5x - 4y = 0</span>
Solution:
we are given that
The magnitudes of the moon and Sirius are -12.5 and -1.44 respectively.
we have been asked to find approximately how many times is the moon brighter than Sirius?
The word magnitude is used by the scientist to describe the brightness of moon/star/object etc.
So we can find the brightness by dividing the given values. so we get

Hence we can say
The moon is 8.68 times brighter than Sirius.
<em>x</em> = amount invested at 8 %. Then 23 000 - <em>x</em> = amount invested at 9 %
Annual income (<em>I</em>) = interest at 8 % + interest at 9 %
<em>I</em> = 0.08<em>x</em> + 0.09(23 000 – <em>x</em>)
<em>I</em> = 0.08<em>x</em> + 2070 – 0.09<em>x</em>
<em>I</em> = 2070 – 0.01<em>x</em>
Answer:
Just follow the arrow or see answer in each box
Step-by-step explanation: