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3 years ago

If f(x) = -3x-5 and g(x)=4x-2, find (f-g)(x)

Mathematics

2 answers:

Rom4ik [11]3 years ago

8 0

Answer:

Answer is (f - g)(x) = -7x - 3

Step-by-step explanation:

We have:

f(x) = -3x - 5

g(x) = 4x -2

We need to find: (f - g)(x)

So, we can write:

(f - g)(x) = f(x) - g(x)

= (-3x -5) - (4x - 2)

= -3x - 5 -4x + 2

= - 3x - 4x -5 +2

(f - g)(x) = -7x - 3

So we get (f - g)(x) = -7x - 3

MA_775_DIABLO [31]3 years ago

6 0

f(x) -g(x) = -3x-5 -(4x-2)

distribute

-3x-5 -4x+2

combine like terms

-7x-3

Answer:

-7x-3

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Solve for x. −(−2−5x)+(−2)=18 x=−90 x=90 x=185 x=−185

Tomtit [17]

Uhm, did you, maybe, type in the problem wrong? The answer to this equation is: 18/5 or 3.6, lol, no worries, though!

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3 years ago

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A bag contains tiles number 1-10. What is the probability of first selecting a PRIME number, replacing it, then selecting a numb

andrezito [222]

Answer:

0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of independent events:

Suppose we have two events, A and B, that are independent. The probability of both happening is given by:

$P(A \cap B) = P(A) \times P(B)$

In this question:

Event A: Selecting a prime number.

Event B: Selecting a number less than or equal to 3

Probability of selecting a prime number:

Between 1 and 10, we have 4 prime numbers(2,3, 5 and 7), out of 10. So

$P(A) = \frac{4}{10}$

Probability of selecting a number less than or equal to 3:

Three numbers(1,2,3) out of 10. So

$P(B) = \frac{3}{10}$

Probability of both:

$P(A \cap B) = P(A) \times P(B) = \frac{4}{10} \times \frac{3}{10} = \frac{12}{100} = 0.12$

0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3

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3 years ago

There are 20 marbles in a bag. 1/5 are red and others are blue. What is the ratio of red to blue marbles

Levart [38]

Answer:

4:16 or 1:4

Step-by-step explanation:

1/5 of 20 = 4

there are 4 red marbles

there are 16 blue marbles

4:16 or 1:4

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2 years ago

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What is the mathematical equation for 1 bobcat has 2 eyes =

Mice21 [21]

Answer: 86?

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4x + 2(30-x) = 86

4x + 60 - 2x = 86

2x = 86-60

2x = 26

x = 13 4 x 13 + 2 x 17 = 86

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3 years ago

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 85 p

MrRa [10]

Let small box = X and large box = y

Set up two equations:

X + Y = 85 pounds.

Rewrite as X = 85 - y

and:

55x + 50Y = 4375 pounds.

Replace x:

55(85 - y) + 50y = 4375

Use distributive property:

4675 - 55y + 50y = 4375

Combine like terms:

4675 - 5y = 4375

Subtract 4675 from both sides:

-5y = -300

Divide both sides by -5:

y = 60

This is the weight of the large box.

The small box would weigh 85 - 60 = 25 pounds.

Large box = 60 pounds.

Small box = 25 pounds.

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4 years ago