Answer:
Total number chocolate bars with almonds sold were approximately 66.34 and total number chocolate bars with walnuts sold were approximately 34.67.
Step-by-step explanation:
Let number chocolate bars with almonds be x
Also let number chocolate bars with walnuts be y
Given:
Number of chocolate bars with almonds that were sold one weekend was 3 less than 2 times the number of chocolate bars with walnuts.
Framing the above sentence in equation form we get;

Also given:
The number of chocolate bars with walnuts plus 4 times the number of chocolate bars with almonds was 300.
Framing the above sentence in equation form we get;

Now Substituting the value of x in above equation we get;

Now we will substitute the value of y in equation
we get;

Hence, Total number chocolate bars with almonds sold were approximately 66.34 and total number chocolate bars with walnuts sold were approximately 34.67.
So what’s the question? What are we trying to find?
Part A
Given that

Then,

For

, then

Thus,

For

, we have

Part B
Recall that from part A,

Now, at initial position, t = 0 and

, thus we have

and when the velocity drops to half its value,

and

Thus,

Thus, the distance the particle moved from its initial position to when its velocity drops to half its initial value is given by
Answer:
D.
(-7, 3)
Step-by-step explanation:
Given equation
y - 3 = 4(x + 7)
points are in form of (x,y) that is first value represent value of coordinate and
second value y represents value of y coordinates.
to find which point lies on given line equation we need to substitute value of x and see if value of y obtained is same as given in the option or not.
______________________________________
A.
(7, 3)
substituting x with 7 in the equation
y - 3 = 4(7 + 7)
=> y - 3 = 4(14)
=> y - 3 = 56
=> y = 56+3 = 59
Thus, we see value of y when x is 7 is 59
which is not equal to 3 as given in option A hence option A is not correct choice
B.
(7, -3)
As seen above for x = 7 , y is 59 hence option B is also incorrect
C.
(-7, -3)
substituting x with -7 in the equation
y - 3 = 4(-7 + 7)
=> y - 3 = 4(0)
=> y - 3 = 0
=> y = 0+3 = 3
Thus, we see value of y when x is -7 is 3
which is not equal to -3 as given in option C hence option C is not correct choice
D.
(-7, 3)
As calculated above value of y when x is -7 is 3
hence
option D is correct choice.
Y = -5x + 15
You can use point slope formula to get the answer