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Nuetrik [128]
3 years ago
11

8x - 2 + 4x + 10 + 3x + 5 = 180

Mathematics
1 answer:
erik [133]3 years ago
5 0

Answer: 11\frac{2}{15}

Step-by-step explanation:

What you are trying to do is isolate the variable x. For you to do that you have to first simplify the left side of the equation and then you solve for x.

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The magic number is -15. Combine each statement with the magic number and determine if it will result in zero. _______ a. An ele
Paul [167]

Answer:

A. is 0

B. is -30

C. is 0

Step-by-step explanation:

Hope this helps!

8 0
2 years ago
Emily is observing the velocity of a cyclist at different times. After four hours, the velocity of the cyclist is 14 km/h. After
lina2011 [118]
Assume that Emily starts from rest so that the velocity is zero at 0 hours.

Define the function v(t) for velocity in km/h, and t in hours.

Part A
From t=0 to t=4, v changes from 0 to 14.
Let v(t) = mt + b
The slope is
  m = 14/4 = 3.5, and the y-intercept is
  b = 0.
Therefore
v(t) = 3.5t,  for 0 ≤ t ≤ 4

Fromt=4 to t=9,  changes from 14 to 4.
Let v(t) = mt + b
The slope is
  m = (4 - 14)/(9 - 4) = -2
Therefore
  v = -2t + b
When t=4, v=14, therefore
 14 = -2*4 + b = -8 + b
 22 = b
v(t) = -2t + 22, for 4 < t ≤ 9.

Answer:
The equation for the velocity is
v(t) = 3.5t,  0 ≤ t ≤ 4
      = -2t + 22,  4 < t ≤ 9

Part B
The equation for velocity is a piecewise function that is graphed as shown below. If we assume that the second part of the equation is valid at t=10, then
v(10) = -2*10 + 22 = 2 km/h

3 0
3 years ago
What is the coefficant of x^3 y^2 in the expansion of (2x+y)^5
kondaur [170]

Answer:

just here for points

Step-by-step explanation:

5 0
3 years ago
(100+ POINTS)
horsena [70]

Answer:

1) 102.7 meters

2) 11

Step-by-step explanation:

1) -4.9x² + 75x = -4.9x² + 50x + 38

25x = 38

x = 1.52 s

Height = -4.9(1.52)² + 75(1.52) = 102.67904 m = 102.7 m

2) f(x) = x² + 3x - 2

f(2) = 2² + 3(2) - 2 = 8

f(6) = 6² + 3(6) - 2 = 52

Average rate of change:

(52-8)/(6-2) = 11

5 0
3 years ago
Read 2 more answers
What is the value of the expression given below? (8-3i)-(8-3i)(8+8i)
enyata [817]

Answer:

-76-43i

Step-by-step explanation:

First expand the multiplied terms

8-3i-(64+64i-24i+24)

8-3i-(64+40i+24)

Simplify

8-3i-64-40i-24

-76-43i

6 0
3 years ago
Read 2 more answers
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