Answer:
Simon's Age = 47
Marcie's Age = 11
Step-by-step explanation:
<em>The question is to find Simon's age and Marcie's age.</em>
<em />
Let Simon's age be x and Marcie's age be y
<u>Simon is 3 years more than 4 times marcie, so we can write:</u>
x = 4y + 3
Also,
<u>Sum of their ages is 58, so we can write:</u>
x + y = 58
or x = 58 - y
Now, we substitute this into 1st equation and solve for y first:
We know
x = 58 - y
so,
x = 58 - 11
x = 47
So,
Simon's Age = 47
Marcie's Age = 11
<span>The expansion of the warehouse will not affect the dimensions of the surrounding fence.</span>
1) The ball's position is described by:
s(t) = 4.9t² + 450
We want to find the velocity, which is the 1st-order derivative of the displacement function (I assume this is an introductory calculus class)
s'(t) = v(t) = 9.8t
We get this by multiplying 4.9 x 2 and reducing the exponent by 1. Now we simply plug 5 in for t.
v(5) = 9.8* 5
v(5) = 49m/s
2) Our cost function is C(x) = x² - 10,000
To find the average rate of change between these units, we use this formula:
( C(101) - C(100) ) ÷1 .
We find the change in C, and divide by the change in x, which is just one.
C(101) = 101² - 10,000
C(101) = 201
C(100) = 100² - 10,000
C(100= 0
C(101) - C(100) = 201
Average rate of change in cost is 201 dollars/ unit between the two points.
First you will divide 525 by 100. Then you multiply your answer by 4. That will equal 21
Answer:
the answer is 6x.
Step-by-step explanation:
