Answer: 
Step-by-step explanation:
Given, the exponential function 
for a graph that includes (–3, 16) and (–1, 4).
On putting these points, we will have
Now,
since the multiplicative factor cannot be negative, so b= 0.5.
At b= 0.5
So, the required function is .
Answer:
x = 9
Step-by-step explanation:
Area of a rectangle = lw
To find the length you divide 45 by 5 to get 9 because,
45 = 5 x 9
Answer:
12
Step-by-step explanation:
We have 5 squared minus (3 squared plus 4). Convert this to mathematical expression:
- "5 squared" = 5²
- "minus" = -
- "3 squared" = 3²
- "plus 4" = + 4
Put it altogether:
5² - (3² + 4)
5² = 5 * 5 = 25 and 3² = 3 * 3 = 9, so:
25 - (9 + 4) = 25 - (13) = 12
The answer is thus 12.
<em>~ an aesthetics lover</em>
Answer:
The numbers are either {-3, -2, -1} or {7, 8, 9}.
Step-by-step explanation:
Let the smallest integer be represented by x. The middle number is x+1, and the largest number is x+2.
The product of the smaller and larger number is (x)(x+2).
15 more than 6 times the middle number is 6(x+1)+15.
(x)(x+2)=6(x+1)+15
x^2+2x=6x+6+15
x^2+2x=6x+21
x^2-4x-21=0
(x-7)(x+3)=0
x=-3 or x=7
The numbers are either {-3, -2, -1} or {7, 8, 9}.
