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Sedaia [141]
3 years ago
12

Evaluate the function for f(x) = x + 3 and g(x) = x^2 − 2. (f + g)(−8) =

Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0
The answer is -71. I put the -8 in place of the x, then solved.

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EASY POINTS, PLEASE ANSWER ASAP, WILL MARK BRAINLIEST
Akimi4 [234]
The answer is $65.5 !!
6 0
3 years ago
You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=−6x+330, where
Anastasy [175]

Answer:

<h3>55 secs</h3>

Step-by-step explanation:

Given the elevation h (in feet) of the balloon modeled by the function h(x)=−6x+330, we can calculate the time it takes the balloon to reach the ground. The hot air balloon hits the ground at h(x) = 0.

Substitute h(x) = 0 into the modeled expression and find x as shown;

h(x)=−6x+330

0 = −6x+330

6x = 330

Divide both sides by 6

6x/6 = 330/6

x = 55 seconds

Hence the hot air balloon hits the ground after 55 seconds

4 0
2 years ago
What is the sum of the first 70 consecutive odd numbers? Explain.
expeople1 [14]

The sum of the first n odd numbers is n squared! So, the short answer is that the sum of the first 70 odd numbers is 70 squared, i.e. 4900.

Allow me to prove the result: odd numbers come in the form 2n-1, because 2n is always even, and the number immediately before an even number is always odd.

So, if we sum the first N odd numbers, we have

\displaystyle \sum_{i=1}^N 2i-1 = 2\sum_{i=1}^N i - \sum_{i=1}^N 1

The first sum is the sum of all integers from 1 to N, which is N(N+1)/2. We want twice this sum, so we have

\displaystyle 2\sum_{i=1}^N i = 2\cdot\dfrac{N(N+1)}{2}=N(N+1)

The second sum is simply the sum of N ones:

\underbrace{1+1+1\ldots+1}_{N\text{ times}}=N

So, the final result is

\displaystyle \sum_{i=1}^N 2i-1 = 2\sum_{i=1}^N i - \sum_{i=1}^N 1 = N(N+1)-N = N^2+N-N = N^2

which ends the proof.

5 0
2 years ago
Which expression is equivalent to the given expression? 2√20 × 4√6
lapo4ka [179]

Answer:

16 sqrt(30)

Step-by-step explanation:

2√20 × 4√6

Multiply

2*4  sqrt(20*6)

8 sqrt(120)

Simplifying

8 sqrt(4 *30)

We know sqrt(ab) = sqrt(a) sqrt(b)

8 sqrt(4) sqrt(30)

8 *2* sqrt(30)

16 sqrt(30)

7 0
3 years ago
Brainliest, could you help me with the scientific notation
Minchanka [31]

Answer:

1. 2.13 x 10^-1

2. 8.9 x 10^-2

3. 5.7 x 10^-5

4. 2.84 x 10^4

5. 8.1 x 10^-5

6. 2.65 x 10-5

Step-by-step explanation:

Good luck! Brainliest is always appreciated!

Sincerely,

Philip

3 0
2 years ago
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