6 and 7 because if you solve for r the answer would be r > 6
Answer: x = 5π/6Explanation:1) Given function: 
2) x-intercept are the roots of the function, i.e. the solution to
y = 03) to find when y = 0, you can either solve the equation or look at the graph.
4) Solving the equation you get:
y = 0 ⇒ tan(x - 5π/6) = 0 ⇒ x - 5π/6 = arctan(0)arctan(0) is the angle whose tangent is zero,so this is 0
⇒ x - 5π/6 = 0 ⇒ x = 5π/6.Then, one example of an x-intercept is x = 5π/6, which means that when x = 5π/6, the value of the function is 0.
Since, the tangent function is a periodic function, there are infinite x-intecepts, that is why the questions asks for one example and not all the values.
You can
verify by replacing the value x = 5π/6 in the given function:
y = tan (5π/6 - 5π/6) = tan(0) = 0.
1. x/-3=-15
x=45
2. -7+3(-12)÷-3
-7+12
5
3. f(-4)=(-4)²-(-4)
f(-4)=16-(-4)
f(-4)=20
4. x-9=17
5. 2x+3=35
6. -8-12-(-20)
-20-(-20)
0
7. -2(-3)²(-1)
-2(9)(-1)
-18(-1)
18
8. x-(-2)
9. subtract 7 then divide by -2
10. 6+(-18)+(-13)+9
-12-4
-16
11. 5x=11
12. division property
13. -3³ = -27
14. x/2-3=7
x/2=10
x=20
15. 2x-5=15
16. x/-4-(-8)=12
x/-4=4
x=-16
17. 168
18. 16-20-(-8)-9
-4-(-8)-9
4-9
-5
Answer:
512 ft.
Step-by-step explanation:
From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.
Solution:
Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:
tan 25 = h/(x + 740)
h = (x + 740)tan 25 (1)
tan 55 = h / x
h = x tan 55 (2)
Hence:
(x + 740)tan 25 = xtan 55
0.4663(x + 740) = 1.428x
0.4663x + 345.07 = 1.428x
0.9617x = 345.07
x = 359 ft.
h = xtan55 = 359 tan(55) = 512 ft.
Answer:
<u>23 consumer.</u>
Step-by-step explanation:
Given:
Number Of Responses for Thirsty = 49
Number Of Responses for Clean = 24
Number Of Responses for Strong Ones = 15
Number Of Responses for PowerWash = 12
So,
The total number of Responses = 49 + 24 + 15 + 12 = 100
So, the probability to prefer PowerWash = 12/100 = 0.12
For a group of 195 consumers:
prediction to prefer PowerWash paper towels = 0.12 * 195 = 23.4
So,
The number of consumers prefer PowerWash paper towels = <u>23 consumer</u>