Answer:
Step-by-step explanation:
A. 4^5*4^5 = 4^(5+5) = 4^10 ≠ 4^15
B. (5^4)^5 = 5^(4*5) = 5^20
C. 3^1*3^0 = 3^(1+0) = 3^1 ≠ 3^0
D. 6^20/6^10 = 6^(20 - 10) = 6^10 ≠ 6^2
Answer:
8160 quarts
Rate per day is 4080 quarts/day
Step-by-step explanation:
340 in 2 hours
340/2 = 170
Rate = 170 quarts per hour
170x48hrs = 8160
8160 quarts in 48 hours
Rate per day = 170 x 24 hrs in a day
170x24 = 4080
Rate per day = 4080 quarts/day
The base formula for this equation can be represented as;
y=a√(x-h)+k <-- now substitute in the values
y=3√(x+1)+7
Just for your information;
a: vertical stretch/compression of the graph of √x, along with direction
h: translates the function to the left/right
k: translates the function upwards/downwards.
Answer: B = 1
Step-by-step explanation: The first step is to add 6 to both sides of the equation to get -2b = -2
You then divide both sides by negative 2 so you can get a positive
dividing both sides by negative 2 will leave you with 1b = 1
so
b = 1
Answer:
Greatest possible number of solutions of these set of equations are 2
Step-by-step explanation:
We have been given two functions in the question.
x² + y² = 9
9x + 2y = 16
We know that the equation of circle is given by:
(x - h)² + (y - k)² = r²
However, if (h, k) is equals to (0, 0), the equation of circle becomes:
x² + y² = r²
Which is similar to the fist equation
x² + y² = 3²
Hence first equation is a circle.
As the second equation is a linear equation, it is simply a line.
We know that a line passing through the circle can intersect it at only 2 points.
Where points of intersection between both circle and line shows the solution.
So.
There are 2 possible solution to this set of equations