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spin [16.1K]
3 years ago
15

WILL GIVE BRAINLIEST!! FINALS!

Mathematics
1 answer:
GenaCL600 [577]3 years ago
3 0
Factor completely x³ + 6x² - 3x – 18
- 6 + 6( - 6)^{2}  - 3( - 6) - 18 \\  - 6 +6 \times 6 ^{2}  + 18 - 18 \\  - 6 + 6 ^{3}  + 18 - 18 \\  - 6 + 216 \\ 210
with a root of x = -6

the answer is 210


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Which relationship describes angles 1 and 2?
Sholpan [36]

Answer:

vertical angles and complementary

6 0
3 years ago
Write an equation in slope-intercept form from the linear inequality graphed in the picture.
stepladder [879]

Answer:

  • equation: y = x+3
  • inequality: y < x+3

Step-by-step explanation:

The slope of the line is 1 unit of rise for 1 unit of run, so ...

  m = rise/run = 1/1 = 1

The y-intercept is 3 grid lines above the x-axis, so is (0, 3).

Then the equation of the line is ...

  y = 1x +3

The inequality has that line as a boundary, but the y-values on the line are not part of the solution space. Only y-values below the line (less than those on the line) are in the solution. The inequality is ...

  y < x +3

3 0
3 years ago
HELP ME PLS<br> Write the ratio<br> 3/8 with a numerator of 9.
Anna35 [415]

Answer:

24

Step-by-step explanation:

3    9

8    

9 times 8

divided by 3 = denominator

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7 0
3 years ago
Read 2 more answers
Problem 8-4 A computer time-sharing system receives teleport inquiries at an average rate of .1 per millisecond. Find the probab
Sphinxa [80]

Answer:  a) 0.9980, b) 0.0013, c) 0.0020, d) 0.00000026, e) 0.0318

Step-by-step explanation:

Problem 8-4 A computer time-sharing system receives teleport inquiries at an average rate of .1 per millisecond. Find the probabilities that the number of inquiries in a particular 50-millisecond stretch will be:

Since we have given that

\lambda=0.1\ per\ millisecond=5\ per\ 50\ millisecond=5

Using the poisson process, we get that

(a) less than or equal to 12

probability=  P(X\leq 12)=\sum _{k=0}^{12}\dfrac{e^{-5}(-5)^k}{k!}=0.9980

(b) equal to 13

probability= P(X=13)=\dfrac{e^{-5}(-5)^{13}}{13!}=0.0013

(c) greater than 12

probability= P(X>12)=\sum _{k=13}^{50}\dfrac{e^{-5}.(-5)^k}{k!}=0.0020

(d) equal to 20

probability= P(X=20)=\dfrac{e^{-5}(-5)^{20}}{20!}=0.00000026

(e) between 10 and 15, inclusively

probability=P(10\leq X\leq 15)=\sum _{k=10}^{15}\dfrac{e^{-5}(-5)^k}{k!}=0.0318

Hence, a) 0.9980, b) 0.0013, c) 0.0020, d) 0.00000026, e) 0.0318

6 0
3 years ago
Find all the missing elements. A=109 C=13 b=6 B=? a=? c=?
sasho [114]

Answer:

  • B = 58°
  • a = 6.6896
  • c = 1.5915

Step-by-step explanation:

Given two angles and the side between them, the first step must be to find the value of the third angle, the one opposite the given side. It will be ...

  B = 180° -A -C = 180° -109° -13° = 58°

Using this information and the Law of Sines, you can find the remaining sides.

  a/sin(A) = b/sin(B) = c/sin(C)

__

Then the missing sides are ...

  a = b(sin(A)/sin(B)) = 6(sin(109°)/sin(58°)) ≈ 6.6896

  c = b(sin(C)/sin(B)) = 6(sin(13°)/sin(58°)) ≈ 1.5915

The missing measures are ...

  B = 58°

  a = 6.6896

  c = 1.5915

7 0
3 years ago
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