<u>Solution-</u>
The profit function given in the question,
Where,
x = the number of houses built in a year
We can calculate y-intercept by putting x=0, so
y-intercept is -1673, i.e when x=0 or the number of houses built is 0, their profit is -1673. Actually it is not the profit, but loss. So if they don't build any house, they will lose $1673
We can calculate x-intercept or zeros by putting y=0, so
Calculating the zeros by graphing calculator, they are as follows,
x-intercept shows that they need to built at least 15 (as number house can not be fraction) houses, in order to start profiting. Even though they start profiting after building 2 houses, but then the profit starts decreasing and reaches 0 again and so does happen after building 11th house. (It might happen due to the other costs and investments used for building the houses ). But after finally building 15th house they start profiting.
$768,
She had to pay $64 a month and there are 12 months in a year. So 64 x 12= 768
Answer:
Step-by-step explanation:
Simplifying
9x + -5 = 10x + -9
Reorder the terms:
-5 + 9x = 10x + -9
Reorder the terms:
-5 + 9x = -9 + 10x
Solving
-5 + 9x = -9 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x' to each side of the equation.
-5 + 9x + -10x = -9 + 10x + -10x
Combine like terms: 9x + -10x = -1x
-5 + -1x = -9 + 10x + -10x
Combine like terms: 10x + -10x = 0
-5 + -1x = -9 + 0
-5 + -1x = -9
Add '5' to each side of the equation.
-5 + 5 + -1x = -9 + 5
Combine like terms: -5 + 5 = 0
0 + -1x = -9 + 5
-1x = -9 + 5
Combine like terms: -9 + 5 = -4
-1x = -4
Divide each side by '-1'.
x = 4
Simplifying
x = 4
Answer:
n =4
Step-by-step explanation:
6x^n• 4x^2=24x^6
Combine like terms
24 x^n *x^2 = 24 x^6
We know that a^b * a^c = a^(b+c)
24 x^(n +2) = 24 x^6
Divide each side by 24
x^(n +2) = x^6
The bases are the same so the exponents are the same
n+2 = 6
Subtract 2
n+2-2 = 6-2
n=4
Answer:
The ordered pair (15, 12) means that 15 pounds of beans cost $12.
Step-by-step explanation:
Ordered pairs are in the format of (x,y). The first number represents a point's position on the x-axis and the second represents a point's position on the y-axis. Also note that in this graph, the x-axis represents the weight of beans in pounds and the y-axis represents the cost of beans.
Knowing this, (15,12) means that 15 pounds of beans must cost $12.