The degree of the function is 16
The y intercept occurs when x = 0 so this gives 7*9 = 63
There will be no x intercepts
C is the correct choice.
Answer:
0.6856
Step-by-step explanation:
Now; assuming X = no of complaints received in a week
Required:
To find P(77 < X < 120)
Using a Gaussian Normal Distribution (108, = 20)
Using Z scores:
As a result X = 77 for N(108,20) is approximately equal to to Z = -1.75 for N(0,1)
SO;
Here; X = 77 for a N(108,20) is same to Z = 0.6 for N(0,1)
Now, to determine:
P(-1.75 < Z < 0.6) = P(Z < 0.6) - P( Z < - 1.75)
From the standard normal Z-table:
P(-1.75 < Z < 0.6) = 0.7257 - 0.0401
P(-1.75 < Z < 0.6) = 0.6856
#1 answer: y=33x+100
explanation: The initial fee of $100 is your y-intercept.
The 33 is your slope.
You pay $33 a month which is what the x value represents (the month).
So your total equation is y=33x+100
#2 answer: $265
explanation: using the equation y= 33x + 100 you replace the x which is 5.
33(5) + 100. 33 * 5 = $165 but you can’t forget the + 100.
Therefore your answer will be $265.
Answer:
See below
Step-by-step explanation:
17. 17x + 3 x=4 18. -2x + 1 / 3 x= -5
17(4) + 3 - [(2)(-5) + 1] / 3
68 + 3 - [-10 + 1] /3
71 9/3 or 3
19. 2x - 33 x=9 20. - 9x - 2 x=7
(2)(9) - 33 -(9)(7) - 2
18 - 33 -63 - 2
- 15 -65
21. 7/3x - 9 x=3 22. - [12x/5] x= -1
(7/3)(3) - 9 - [(12)( -1)/5]
7 - 9 - [ -12/5 ]
-2 2.4
23. 11x - 11 x = -11 24. (2/9)x - (9/2) x= 9
- 121 - 11 (2/9)(9) - (9/2)
-132 2 - (9/2) ( 2 can be shown as 4/2)
(4/2) - (9/2)
- 5/2 or - 2.5
25. f(x) = 0.12x + 4.52 x = 250 26. f(x) = 0.18x + 3.12 x= 175
= (0.12)(250) + 4.52 = (0.18)(175) + 3.12
= 30 + 4.52 = 31.50 + 3.12
= 34.52 = 34.62
The similarity ratio of ΔABC to ΔDEF = 2 : 1.
Solution:
The image attached below.
Given ΔABC to ΔDEF are similar.
To find the ratio of similarity triangle ABC and triangle DEF.
In ΔABC: AC = 4 and CB = 5
In ΔDEF: DF = 2, EF = ?
Let us first find the length of EF.
We know that, If two triangles are similar, then the corresponding sides are proportional.
⇒
⇒
⇒
⇒
⇒
Ratio of ΔABC to ΔDEF =
Similarly, ratio of ΔABC to ΔDEF =
Hence, the similarity ratio of ΔABC to ΔDEF = 2 : 1.