Answer:
See below
Step-by-step explanation:
<em>On the graphs we see transformations of exponential functions</em>
<h3>Graphic 1 = Horizontal shift </h3>
- f(x) = 2ˣ is the parent function
- g(x) = 2ˣ⁺³ indicates shift to the left by 3 units
- h(x) = 2ˣ⁻¹ indicates the shift to the right by 1 unit
<h3>Graphic 2 =Vertical shift</h3>
- p(x) = (1/3)ˣ is the parent function
- r(x) = (1/3)ˣ⁺³ indicates shift up by 3 units
- q(x) = (1/3)ˣ⁻² indicates the shift down by 2 units
Answer: 23.2 miles per hour
Step-by-step explanation:
He ran 100 meters in 9.63 seconds.
First convert the number of meters he ran to miles:
= 100 * 3.28
= 328 feet
= 328/5,280
= 0.062121212 miles
Convert the seconds to hours:
= 9.63 / 60
= 0.1605 minutes
= 0.1605/60
= 0.002675 hours
Speed in miles per hour is:
= 0.062121212 / 0.002675
= 23.22
= 23.2 miles per hour
Answer:
Option A is correct
True, ΔABC and ΔDEF must be congruent.
Explanation:
LA theorem or Postulates states that given two right triangles, where one acute angle and a leg of one of the triangles are congruent to an angle and a leg of the other triangle, then the two triangles are congruent.
In ΔABC and ΔDEF
AB = DE [Leg] [Given in the figure]
[Given]
[Acute angle] [Given in the figure]
Then, by the LA theorem or Postulates;
therefore, ΔABC 
ΔDEF .
Answer:
21x
Step-by-step explanation:
In the parentheses, 3 * x is the same thing as 3x. Distribute 7 into 3x to get 21x as your final answer.
