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stich3 [128]
3 years ago
5

6b < 36 or 2b + 12 > 6

Mathematics
1 answer:
Step2247 [10]3 years ago
4 0

Answer:

-3 < b < 6

Step-by-step explanation:

6b < 36 or 2b + 12 > 6

b < \frac{36}{6} or 2b > 6 - 12

b < 6 or b > -3

Simplifying this becomes;

-3 < b < 6

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The graph is shown for the equation y = –x + 4.
ivann1987 [24]

Answer:

Option C. y=-\frac{1}{2}(2x-8)

Step-by-step explanation:

we know that

If a system of two linear equations has an infinite number of solutions, then both equations must be identical

The given equation is

y=-x+4

<u><em>Verify each case</em></u>

Option A. we have

y=-4(x+1)

apply distributive property

y=-4x-4

Compare with the given equation

-x+4 \neq -4x-4

Option B. we have

y=-(x+4)

remove the parenthesis

y=-x-4

Compare with the given equation

-x+4 \neq -x-4

Option C. we have

y=-\frac{1}{2}(2x-8)

apply distributive property

y=-x+4

Compare with the given equation

-x+4=-x+4

therefore

This equation with the given equation form a system that has an infinite number of solutions

Option D. we have

y=x+4

Compare with the given equation

-x+4 \neq x+4

7 0
3 years ago
Five hundred yards of fence is to be used to enclose a rectangular area next to a straight river. The river bank acts as one sid
fenix001 [56]

Answer:

the requirements are missing:

  1. express the height of the rectangle in terms of w
  2. express the area of the rectangle in terms of w

1) the height of the rectangle is:

w + h + h + w = 500 + w

2w + 2h = 500 + w

2h = 500 + w - 2w = 500 - w

h = (500 - w) / 2 = 250 - 0.5w

2) the are of the rectangle is:

w x h = w x (250 - 0.5w) = 250w - 0.5w²

3 0
3 years ago
A company logo is shaped like an equilateral triangle with 2-in.-long sides. What is the height of the logo? Round to the neares
deff fn [24]

Answer:

B. 1.7 in

Step-by-step explanation:

Divide the triangle into 2 congruent right angle triangles

With hypotenuse: 2

Base: 2/2 = 1

Using pythagoras theorem

2² = 1² + h²

h² = 3

h = sqrt(3)

h = 1.732050808

6 0
3 years ago
Read 2 more answers
Which of the following is closest to the actual distance in miles?
forsale [732]

Answer:

DAMMIT I BIT MY FINGER

Step-by-step explanation:

6 0
3 years ago
Solve the following word problems.
aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

Let a , b , c & d be the no. of chairs in hall A , B , C & D respectively.

Given,

b = 4a

c = a + 15

d = a + 8 + 4a = 5a + 8

Now,

Total no. of chairs (T) = a + b + c + d

                                   = a + 4a + a + 15 + 5a + 8

                                   = 11a + 23

Now,

Average chairs in each hall (Avg) = T/4

                                                       = (11a + 23)/4

7 0
3 years ago
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