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AfilCa [17]
3 years ago
14

If f(x) = 6x^2 - 2x - 5 and g(x) = -2x^2 + 3x - 1, find (f-g) (x)

Mathematics
2 answers:
Nadya [2.5K]3 years ago
8 0

Hey there! I'm happy to help!

To find (f-g)(x), we simply subtract the function g from the function f.

6x²-2x-5-(-2x²+3x-1)

We combine like terms.

6x²+2x²=8x²

-2x-3x=-5x

-5-(-1)=-5+1=-4

Therefore, (f-g)(x)=8x²-5x-4

Have a wonderful day! :D

Cerrena [4.2K]3 years ago
4 0

Answer: (f-g)(x)=8x²-5x-4

Step-by-step explanation:

(f-g)(x) means to subtract f(x) and g(x). Since we are given f(x) and g(x), we can directly subtract them.

(f-g)(x)=6x²-2x-5-(-2x²+3x-1)               [distribute -1]

(f-g)(x)=6x²-2x-5+2x²-3x+1                  [combine like terms]

(f-g)(x)=8x²-5x-4

Now, (f-g)(x)=8x²-5x-4 is our answer.

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Answer:

The value of a function is the actual calculation done at a certain point. The limit is - roughly speaking - the value at points that are “arbitrarily close” to the same point. For most commonly used functions, the value of a function at a point, and the limit at the same point, is the same - at least for most values.

4 0
2 years ago
Find the difference 3/4(3x+6)−14(5x−24)
PolarNik [594]
The answer is -271/4x + 681/2

7 0
3 years ago
I will give BRAINLIEST to the correct answer <br> Find the measure of angle 6.
True [87]

Answer:

m∠6 = 116°

Step-by-step explanation:

<u>first find x:</u>

7x - 17 = 2x + 78

subtract 2x from both sides: 5x - 17 = 78

add 17 to both sides: 5x = 95

divide by 5: x = 19

<u>plug x into 7x - 17</u>

7(19) - 17 = 116

∠6 and 7x - 17 are vertical angles and therefore congruent, so m∠6 also = 116°

3 0
2 years ago
Find how many six-digit numbers can be formed from the digits 2, 3, 4, 5, 6 and 7 (with repetitions), if:
Goshia [24]

Answer:

case 1 = 2592

case 2 =  729

case 1 + case 2 =  2916

(this is not a direct adition, because case 1 and case 2 have some shared elements)

Step-by-step explanation:

Case 1)

6 digits numbers that can be divided by 25.

For the first four positions, we can use any of the 6 given numbers.

For the last two positions, we have that the only numbers that can be divided by 25 are numbers that end in 25, 50, 75 or 100.

The only two that we can create with the numbers given are 25 and 75.

So for the fifth position we have 2 options, 2 or 7,

and for the last position we have only one option, 5.

Then the total number of combinations is:

C = 6*6*6*6*2*1 = 2592

case 2)

The even numbers are 2,4 and 6

the odd numbers are 3, 5 and 7.

For the even positions we can only use odd numbers, we have 3 even positions and 3 odd numbers, so the combinations are:

3*3*3

For the odd positions we can only use even numbers, we have 3 even numbers, so the number of combinations is:

3*3*3

we can put those two togheter and get that the total number of combinations is:

C = 3*3*3*3*3*3 = 3^6 = 729

If we want to calculate the combinations togheter, we need to discard the cases where we use 2 in the fourth position and 5 in the sixt position (because those numbers are already counted in case 1) so we have 2 numbers for the fifth position and 2 numbers for the sixt position

Then the number of combinations is

C = 3*3*3*3*2*2 = 324

Case 1 + case 2 = 324 + 2592 = 2916

4 0
3 years ago
Round 49.87654321 to the nearest tenth
schepotkina [342]
49.9 is the answer
hope it helps ya :D
8 0
3 years ago
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