Answer:
it does have a solution x=0
Step-by-step explanation:
9x+15=3x+15
6x+15=15
6x=0
x=0
Since the painting is hung in center of a rectangular wall ,the distance between them on either side will be the same.so we can divide the length of the painting and wall by 2.we will get 2.4/2=1.2 feet and 20/2=10 feet .10-1.2=8.8 feet gives the distance between the right edge of the painting and right edge of the wall
Answer:
6.
Step-by-step explanation:
We can start by defining a couple things.
x = amount of nickels
y = amount of dimes
Since he has the same amount of each, we can say this.
x = y
And because we know it totals 0.90, we can say this.
0.05x + 0.10y = 0.90
then, we substitute and get this.
0.05x + 0.10x = 0.90
Simplify.
0.15x = 0.90
Divide both sides by 0.15.
x = 6
So we have 6 nickels, and they both are the same, so we have 6 dimes.
Answer:
when you multiply a whole number by itself it will obviously get bigger.
4 to the 2nd power equals 16 because 4x4 = 16
if you were to multiply a smaller number though, it wouldn't get as big.
Each number you put to the same exponent will not get bigger at the same rate since each number isnt being multiplied by the same thing.
ex. 4 and 6 are raised to the second power both dont get multiplied by the same number 4 is multiplied by 4, and 6 by 6, therefore the bigger the number the bigger it grows.
Fractions get smaller for this reason when you have the fraction 2/3 raised to the second, both numbers must be raised. 2 to the second equals 4 while 3 to the second is 9.
1/2 to the second would then equal 1/4 since 1 to the second equals 1 and 2 to the second equals 4.
Step-by-step explanation:
The cost function is
c = 0.000015x² - 0.03x + 35
where x = number of tires.
To find the value of x that minimizes cost, the derivative of c with respect to x should be zero. Therefore
0.000015*2x - 0.03 = 0
0.00003x = 0.03
x = 1000
Note:
The second derivative of c with respect to x is positive (= 0.00003), so the value for x will yield the minimum value.
The minimum cost is
Cmin = 0.000015*1000² - 0.03*1000 + 35
= 20
Answer:
Number of tires = 1000
Minimum cost = 20
