My teacher taught me rise over run. So, line A goes up one and to the side 4. That makes the slope 1/4. It's positive when the line goes up as you look to the right. C is a positive slope of 2. And D is - 2/3. Other than those two, you did a really good job!
Answer:
11 cats
Step-by-step explanation:
Given :
Jane's initial = 23
My initial = 2
Jane gives out 5 cats to me ;
Jane's new = 23 - 5 = 18
My new = 2 + 5 = 7
Number of cats Jane has than me :
Jane's new - My new
18 - 7 = 11 cats
Second question is incomplete. We aren't told what to calculate.
For #1 you have one leg of a right triangle measuring 4000 (the height of the mountain) and the other leg is 3000 (the distance that Mario is from Jenna). The angle of elevation is the one on the base of the triangle across from the right angle. To find the measure of the angle, use the tangent ratio: tan(A)=4000/3000, which could be simplified to tanA = 4/3. Do that on your calculator using the inverse tangent function to get that the angle of elevation from Mario to Jenna is 53 degrees.
For #2 you have another right triangle situation where the length of the hypotenuse is 20 and the base leg is 10. You are finding again the base angle across from the right angle. Use the cosA=10/20, aka cosA=.5. Again use the inverse cos function on your calculator to find the angle in question is 60 degrees.
Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
