I am doing with Question Number 2
Let the two numbers be 'x' and 'y'.
According to the question, the product of two numbers is 14.
So, xy=14 (Equation 1)
Now, one of the numbers is 3 ½ times the other.
So, 
(Equation 2)
Substituting the value of 'x' from equation 2 in equation 1, we get
So, y= 2 and -2
So, 
and 
x=7 and -7
Numbers are 2,7 and -2,-7.
Sum of numbers 2 and 7 = 9
Sum of numbers -2 and -7 = -9.
Answer:
B: 3/4
Step-by-step explanation:
Since we know this is an exponential function
y= ab^x
where a is the initial value and b is the growth rate or what we multiply by
For the first point x=1 and y = 3/2
3/2 = a b^1
3/2 = a*b
For the second point x=2 and y = 9/8
9/8 = a b^2
Take the second equation over the first
9/8 = a b^2
-------------------
3/2 = a*b
3/4 = b
The growth rate is 3/4
That would also be know as the rate of change
Answer:
Larger number:
16
Smaller number
3
Step-by-step explanation:
Larger number: 16
Smaller number: 3
Explanation:
Suppose the larger number is
a
and the smaller number is
b
.
You solve the following system of equations:
a⋅b=48
a−13=b
Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48
a 2−13a=48
a2−13a−48=0
Factor the polynomial:
(a−16)(a+3)=0
a=16 or a=−3a is positive so a=16.
We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.
Answer:
product is 16 • t
Step-by-step explanation:
The first choice
