Answer:
y = 3^(1 + x)
Step-by-step explanation:
Notice that each time x increases by 1, y increases by a factor of 3.
Thus, the required equation has the form y = 3^x.
Check: If x = 0, do we get 3? No. Therefore we must modify the exponent:
y = 3^(1 + x)
Check: If x = 0, do we get 3? 3^(1 + 0) = 3 (correct)
If x = 2, do we get 27? 3(1 + 2) = 3^3 + 27 (correct)
Answer:
4.61 m
Step-by-step explanation:
The angle of depression of the bottom of the shorter building from the top of the taller building = 48° equals the angle of elevation of the top of the taller building from the bottom of the shorter building
Using trig ratios
tan48° = H/d where H = height of taller building and d = their distance apart = 12 m
H = dtan48° = 12tan48° = 13.33 m
Also, the angle of elevation of the top of the shorter building from the bottom of the taller building is 36°
Using trig ratios
tan36° = h/d where h = height of shorter building
h =dtan36° = 12tan36° = 8.72 m
Now, the difference in height of the buildings is thus H - h = 13.33 m - 8.72 m = 4.61 m
Answer:
The algebraic expression is:
a + 5 = 7
Step-by-step explanation:
The algebraic expression is:
a + 5 = 7
then:
a = 7-5
a = 2
and the number is:
2
Hello there!
How do you find the y-intercept?
Answer: To find the y-intercept, substitute in 0 for x and solve for y
y = x² + 3x + 5
y = (0)² + 3(0) + 5
y = 0 + 0 + 5
y = 5
Thus, the correct answer is option D (0,5)
I really hope this answer is clear enough for you to understand. If you have questions about the answer, please let me know.
As always, I'm glad to be your helper this evening~!
Answer:
-77
Step-by-step explanation:
-77 + -23 = -100
