<h2>
Explanation:</h2>
An exponential function is given by the following form:
Here we know two points:
![\bullet \ (0,6) \\ \\ x=0, \ y=6 \\ \\ 6=ab^0 \\ \\ \boxed{a=6} \\ \\\ \\ \bullet \ (3,750) \\ \\ x=3, \ y=750 \\ \\ 750=6b^3 \\ \\ b^3=\frac{750}{6} \\ \\ b=\sqrt[3]{125} \\ \\ \boxed{b=5}](https://tex.z-dn.net/?f=%5Cbullet%20%5C%20%280%2C6%29%20%5C%5C%20%5C%5C%20x%3D0%2C%20%5C%20y%3D6%20%5C%5C%20%5C%5C%206%3Dab%5E0%20%5C%5C%20%5C%5C%20%5Cboxed%7Ba%3D6%7D%20%5C%5C%20%5C%5C%5C%20%5C%5C%20%5Cbullet%20%5C%20%283%2C750%29%20%5C%5C%20%5C%5C%20x%3D3%2C%20%5C%20y%3D750%20%5C%5C%20%5C%5C%20750%3D6b%5E3%20%5C%5C%20%5C%5C%20b%5E3%3D%5Cfrac%7B750%7D%7B6%7D%20%5C%5C%20%5C%5C%20b%3D%5Csqrt%5B3%5D%7B125%7D%20%5C%5C%20%5C%5C%20%5Cboxed%7Bb%3D5%7D)
Finally, our exponential function is:
<h2>Learn more:</h2>
Behavior of functions: brainly.com/question/12891789
#LearnWithBrainly
Answer:
504 km
Step-by-step explanation:
divide 180 by 15 (because 3 hours is 180 minutes)
after you divide you get 12
then multiply 12 by the 42 kilometers and you get 504
The two angles (6x+4) and 32 degrees are complementary angles. They add to 90 degrees. The two angles are adjacent and form a right angle. The right angle marker is the square marker. Two adjacent right angles form a straight angle (180 degrees)
Add up the angles and set the sum equal to 90. Then solve for x
(6x+4) + (32) = 90
6x+4 + 32 = 90
6x+36 = 90
6x+36-36 = 90-36 .... subtract 36 from both sides
6x = 54
6x/6 = 54/6 ... divide both sides by 6
x = 9
Since x = 9, this means that
6x+4 = 6*9+4 = 54+4 = 58
So the missing angle is 58 degrees (note how 58+32 = 90)
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}.
