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____ [38]
3 years ago
7

If f(x)= 3x^2+1 and g(x)= 1-x, what is the value of (f-g)(2)?

Mathematics
1 answer:
enyata [817]3 years ago
3 0

Answer:

14

Step-by-step explanation:

note that (f - g) = f(x) - g(x)

f(x) - g(x) = 3x² + 1 - (1 - x) = 3x² + 1 - 1 + x = 3x² + x

To evaluate (f - g)(2) substitute x = 2 into f(x) - g(x)

(f - g)(2) = 3(2)² + 2 = (3 × 4) + 2 = 12 + 2 = 14

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Jackie runs and dances for a total of 55 minutes every day. She dances for 25 minutes longer than she runs.
AlladinOne [14]

9514 1404 393

Answer:

  A: x + y = 55; y - x = 25

  B: 15 minutes running

  C: no

Step-by-step explanation:

<h3>Part A:</h3>

The two equations relate to the total number of minutes, and to the difference specified in the problem statement.

  x + y = 55 . . . . . . total time is 55 minutes

  y = x + 25 . . . . . . dances 25 minutes longer

__

<h3>Part B:</h3>

We can substitute for y in the first equation to find the value of x, the time spent running.

  x + (x +25) = 55

  2x = 30 . . . . subtract 25

  x = 15 . . . . . . divide by 2

Jackie spends 15 minutes running each day.

__

<h3>Part C:</h3>

The value of y from is found using the second equation:

  y = x +25 = 15 +25 = 40

Jackie <u>will not spend 45 minutes dancing</u> if she meets the requirements on times.

5 0
2 years ago
Evaluate h(5t^{2})given that h(t)=17-11t
Gala2k [10]
h(t)=17-11t
h(5t^{2})=17-11(5t^{2})
h(5t^{2})=17-55t^{2}
5 0
3 years ago
Please help! Find the domain of y = 4 square root 4x + 2
olga55 [171]

Answer:

x ≥ -1/2

Step-by-step explanation:

We know that we cannot graph imaginary numbers. Therefore, our <em>x </em>value has to be greater than or equal to 0:

To find our domain, we need to set the square root equal to zero:

√(4x + 2) = 0

4x + 2 = 0

4x = -2

x = -1/2

We now know that no value below -1/2 can be used or we will get an imaginary number. Therefore, our answer is x ≥ -1/2

Alternatively, we can graph the function and analyze domain:

3 0
2 years ago
Lillie and Adam are simplifying the expression 643<br><br> Whose reasoning is correct?
Luda [366]

Answer:

The first one

"Only Lillie is correct" that's the right answer.

Step-by-step explanation:

64^2/3 = 16

7 0
2 years ago
-6x - 17 ≥ 8x 25 what is the solution of the inequality
Angelina_Jolie [31]
The answer is
x \leq -3
6 0
3 years ago
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