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Luda [366]
3 years ago
12

Find the solution set for this inequality. SHOW YOUR WORK OR NO CREDIT -2x+4>-4x+8

Mathematics
2 answers:
Digiron [165]3 years ago
7 0

Answer:

x<2 is your answer

Step-by-step explanation:

-2x+4>-4x+8

subtract each term by 8

-2x+4-8>-4x+8-8

add both side by 2x

-2x+2x-4>-4x+2x

-4>-2x

dividing both term by -2

-2x/-2<-4/-2

x<2

grigory [225]3 years ago
7 0
<h2>Answer:</h2>

= - 2x + 4 > - 4x + 8

[ Transforming like terms in same side ]

= - 2x + 4x > 8 - 4

= 2x > 4

= x > 2.

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Solve for x if the three angles of a triangle are: x, 45 degrees, and 5x degrees
Tcecarenko [31]

Answer: 22.5 degrees

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees.

So we can set up an equation to solve for x.

x + 45 + 5x = 180.

Combine like terms of x:

6x + 45 = 180

Subtract 45 from both sides:

6x = 135

Divide both sides by 6:

x = 22.5 degrees

3 0
2 years ago
-4(x+5)=-4x-20 one solution many aolution infinite solutions?
Dmitriy789 [7]

Answer:

<h2>x=-10</h2>

Step-by-step explanation:

-40-20=4x-20 _ -40-20+20=4x _ x=-10

6 0
2 years ago
An electronics hobbyist has three electronic parts cabinets with two drawers each.
Andrews [41]

Answer:

a) 0.5 = 50% probability that an NPN transistor will be selected.

b) 0.3333 = 33.33% probability that it came from the cabinet that contains both types

c) 66.67% probability that it comes from the cabinet that contains only NPN transistors

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

a) What is the probability that an NPN transistor will be selected?

1/3 probability that the first cabinet is chosen. This cabinet has two transistors, both of which are NPN, so 100% probability of selecting a NPN transistor.

1/3 probability that the second cabinet is chosen. This cabinet has two transistors, both of which are PNP, so 0% probability of selecting a NPN transistor.

1/3 probability that the second cabinet is chosen. This cabinet has two transistors, one of which is NPN, so 50% probability of selecting a NPN transistor.

So

p = \frac{1}{3}*1 + \frac{1}{3}*0 + \frac{1}{3}*0.5 = \frac{1}{3} + \frac{1}{6} = \frac{2}{6} + \frac{1}{6} = \frac{3}{6} = 0.5

0.5 = 50% probability that an NPN transistor will be selected.

b) Given that the hobbyist selects an NPN transistor, what is the probability that it came from the cabinet that contains both types?

Here we use the conditional probability formula.

Event A: NPN transistor

Event B: From the third cabinet.

50% probability that an NPN transistor will be selected, so P(A) = 0.5.

1/6 probability that it is from the third cabinet and NPN, so P(A \cap B) = \frac{1}{6}

The desired probability is:

P(B|A) = \frac{\frac{1}{6}}{0.5} = 0.3333

0.3333 = 33.33% probability that it came from the cabinet that contains both types.

c) Given that an NPN transistor is selected what is the probability that it comes from the cabinet that contains only NPN transistors?

Either it comes from the cabinet with only NPN transistors, or it comes from the cabinet with both types of transistors. The sum of the probabilities of these outcomes is 100%. So

x + 33.33 = 100

x = 66.67

66.67% probability that it comes from the cabinet that contains only NPN transistors

6 0
3 years ago
Why doesn’t zero have an opposite
Neko [114]
Zero does not have a opposite, because it is not a positive number nor a negative number. It has no reciprocal either

hope this helps
3 0
3 years ago
The function F(x) = 2x/x+3 is an example of a rational function.<br><br><br> True<br> False
PSYCHO15rus [73]

It is true because a rational function is defined as those functions where the variable is placed in the denominator, which must be restricted, because all denominators cannot be equal to zero, other wise it would be undetermined

4 0
3 years ago
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