Answer:
Explanation:
<u>Equation:</u>
This is a decaying exponential function, because the exponent is negative.
Then, the larger the value of t (number of months), the smaller A (the number of hectares).
The factor 1,562.5 is the initial number of hecares, when t = 0.
You must find the value of t when A equals 500, thus solve the equation:
Divide both sides by 1,562.5
Take base-10 logarithms on both sides:
Note that the logarithm of a number decimal number is negative number, thus t will be positive. When you compute that, it is about 4.9 months.
Let r represent cost of each box.
We have been given that Mia bought 10 boxes of brownies. So cost of 10 boxes would be 
.
We have been given that Mia bought 10 boxes of brownies at the store for a total of $64. The tax on the purchase was $5. So the total cost of 10 boxes would be cost of 10 boxes plus tax.
We can represent this information in an equation as:
We can subtract 64 from both sides as:
Therefore, our required equation is and option 'c' is the correct choice.
Answer:
On a coordinate plane, a parabola opens up. It goes through (negative 5, 6), has a vertex of (0, 0), and goes through (5, 6).
Step-by-step explanation:
Since you want a graph with a vertex of (0, 0), choose the one that is described as having a vertex of (0, 0).
Answer:
Side of the square paper = 21 inches
Step-by-step explanation:
Let the square paper is having measure of each side = a inches
Esther cut this square piece into two pieces.
Let the other side of one rectangle piece = x inches
Perimeter of this piece = 2(a + x) inches
Similarly dimensions of the other rectangular piece will be = a inches × (a - x) inches
Perimeter of this piece = 2[a + (a - x)]
Since both the rectangular pieces have the same perimeter = 63
So, 2(a + x) = 2[a + (a - x)] = 63
2(a + x) = 2(2x - x)
a + x = 2a - x
2a - a = 2x
a = 2x
x = 
Therefore, Perimeter = 2(a + x) = 2(a + ) = 63
= 63
3a = 63
a = 21
Therefore, measure of the sides of the square is 21 inches.
