Which of the following number lines represents the solution set of the inequality -1/3 x + 4 < 3?

Mathematics

2 answers:

natima [27]3 years ago

8 0

Solve for x.
x > 3
(It goes to the right, with the starting point open)

pochemuha3 years ago

8 0

Answer:

the answer is A

Step-by-step explanation:

-1/3 x + 4 < 3

-1/3 x + 4 - 4 < 3 -4

-1/3 x < -1

-1/3 x / -1/3 < -1 / -1/3

x < 3

x > 3

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Which expression is equivalent to the expression below?(6c^2+3c/-4c+2)/(2c+1/4c-2)

algol [13]

Answer:

-3c

Step-by-step explanation:

The given expression is:

$\frac{\frac{6c^{2}+3c}{-4c+2}}{\frac{2c+1}{4c-2}}$

We need to simplify this expression. The rational expression in the denominator can be multiplied to numerator by taking its reciprocal as shown below:

$\frac{\frac{6c^{2}+3c}{-4c+2}}{\frac{2c+1}{4c-2}} \\\\ =\frac{6c^{2}+3c}{-4c+2} \times \frac{4c-2}{2c+1}\\\\=\frac{3c(2c+1)}{-(4c-2)} \times \frac{4c-2}{2c+1}\\\\ =-3c$

Thus, the given expression in simplified form is equal to -3c

5 0

3 years ago

Read 2 more answers

In surveying families with pets, 5 out of 7 families owned a dog. If 35 families had dogs, how many families were surveyed?

Sliva [168]

Hello There!

Follow these steps:
35/5 = 7
7 x 7 = 49
35 out of 49 families owned a dog.
49 families were surveyed.

Hope This Helps You!
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5 0

3 years ago

Apr 24,8:28:53 AM<br> Find the 98th term of the arithmetic sequence -10,-8, -6, ...

Nata [24]

Answer: 184

Step-by-step explanation:

The nth term of am arithmetic sequence is calculated as:

Nth term= a+(n-1)d

where a = first term

d = common difference

a = -10

d = -8 -(-10) = -8+10 = 2