Answer:
The numbers are
and
Step-by-step explanation:
Let
x -----> the smaller positive real number
y -----> the larger positive real number
we know that
A positive real number is 2 less than another
so

----> equation A
When 4 times the larger is added to the square of the smaller, the result is 49
so
----> equation B
substitute equation A in equation B

solve for x

The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
so
The positive real number is
Find the value of y

Answer: The range of the function is all real numbers is true.
Explanation: the graph of y = 1/3 is just a horizontal line at y = 1/3. so it’s not increasing or decreasing (it’s staying the same). there is no x-intercept, and the y-intercept is (0, 1/3). the range is all the possible y values, and there are infinite possible y values, so it is all real numbers.
hope this helps!
32% means 32/100
32/100 = 16/50 = 8/25, which is the lowest you can get because you can no longer divide it to get a whole number.
A; 8/25.
Take a look at the attachment to see the solution.
A = future value
P = principal (P = 12,000)
r = interest rate (r=6)
n = time periods (n=12)
Answer:
m∠CDE = 35°
Step-by-step explanation:
The exterior angle CDE is equal to the sum of the opposite interior angles, BCD and DBC. So, you have ...
6x -13 = (2x+10) +(x +1)
3x -24 = 0 . . . . . . . . . . . . subtract the right side, simplify
x -8 = 0 . . . . . . . . . . . . . . divide by 3
x = 8 . . . . . . . . . . . . . . . . . add 8
6x -13 = 6·8 -13 = 35 . . . . substitute for x in the expression for CDE
The measure of angle CDE is 35°.