Answer:
46. <u>(3) 29</u>
47. <u>(1) y = -4x + 3</u>
48. <u>(3) 3</u>
49. <u>(3) -1/2</u>
50. <u>(4) 25x - 75</u>
Step-by-step explanation:
<u>Question 46</u>
- Let red marbles be 2x + 3 and black marbles be x
- 2x + 3 + x = 42
- 3x = 39
- x = 13
- No. of red = 2(13) + 3 = 29 marbles
- <u>(3) 29</u>
<u></u>
<u>Question 47</u>
- Parallel to a line means the slope is the same
- <u>(1) y = -4x + 3</u>
<u></u>
<u>Question 48</u>
- For the expression to be undefined, the denominator has to be 0
- x - 3 = 0
- x = 3
- <u>(3) 3</u>
<u></u>
<u>Question 49</u>
- Slope = -4 - 1 / 4 + 6
- Slope = -5/10
- Slope = -1/2
- <u>(3) -1/2</u>
<u></u>
<u>Question 50</u>
- Total = 25x
- Left 3 boxes at home = -3x = -3(25) = -75
- <u>(4) 25x - 75</u>
Answer:
This function is True
Step-by-step explanation:
Since there is one value of y for every value of x
.
The 6 people be assigned in 720 different ways to chair the subcommittees.
<u>Step-by-step explanation:</u>
Given that,
- There are 6 people to be assigned to the chair committees.
- So, you need to find that in how many ways they can be assigned their seats.
This can be calculated by Permutation.
The number of arrangements in which the order of the objects matters is calculated as permutation.
The permutation is given as ⇒ P = n!
Here we can 6 people to be assigned. Therefore n = 6.
⇒ Number of ways can be arranged = 6!
⇒ 6×5×4×3×2×1
⇒ 720
∴ The 6 people be assigned in 720 different ways to chair the subcommittees.
Answer:
40°
Step-by-step explanation:
<CAB=70°
<ABC=70°
<ACB+ <CAB+ <ABC=180(sum of angles in a triangle)
<ACB +70+70=180
<ACB+140=180
<ACB=180-140
<ACB=40°
