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kogti [31]
3 years ago
12

For f(x) = 3x + 1 and g(x) = x2 - 6, find (f + g)(x).

Mathematics
2 answers:
Harlamova29_29 [7]3 years ago
8 0

Answer:

{x}^{2}  + 3x - 5

Step-by-step explanation:

f(x) = 3x + 1 \\ g(x) =  {x}^{2}  - 6 \\ (f + g)(x) = (3x + 1) + ( {x}^{2}  - 6) \\  = 3x + 1 +  {x}^{2}  - 6 \\  =  {x}^{2}  + 3x - 5

Tasya [4]3 years ago
3 0

Answer:

x^2+3x-5

Step-by-step explanation:

f(x) = 3x + 1

g(x) = x^2 - 6,

(f + g)(x)= 3x + 1 +x^2 - 6,

Combine like terms

        = x^2+3x-5

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The sand pit for the long jump has a width of 2.7 meters and a length of 9.54 meters. Just in case it rains, the principal wants
sveta [45]

Answer:

A = 25.758 m²

Step-by-step explanation:

Width of the sand pit, b = 2.7 m

Length of the sand pit, l = 9.54 m

We want to cover the sand pit with a piece of plastic. We need to find how many square meters of plastic will be needed to cover the sand pit. It is equal to the area of sand pit. It is in the shape of rectangle. Its area is given by :

A = l × b

A = 2.7 × 9.54

A = 25.758 m²

So, 25.758 m² of plastic will be needed to cover the sand pit.

8 0
3 years ago
Reduce 12/20 to lowest term
skelet666 [1.2K]

Answer:

3/5

Step-by-step explanation:

12/20

(divide both by 2)

12/2= 6

20/2=10

6/10

(divide by both by 2)

6/2= 3

10/2= 5

3/5

7 0
3 years ago
I need this problem solved real quick
PIT_PIT [208]

<u>Let's take this problem step-by-step</u>:

<u>The ;unlabeled angle' adjacent to the 'outside angle of measure 78°'</u>

  ⇒ is on a straight line

     ⇒ sum of angle measure = 180 degrees

       unlabeled_.angle+78 = 180\\unlabeled_.angle = 102

<u>Now we know:</u>

 ⇒ sum of all angles in a triangle ⇒ 180°

<u>Let's put that in equation form and solve:</u>

  x + 102 + 57=180\\x + 159=180\\x = 21

<u>Answer: 21°</u>

<u></u>

Hope that helps!

#LearnwithBrainly

8 0
2 years ago
A supervisor records the repair cost for 14 randomly selected refrigerators. A sample mean of $79.20 and standard deviation of $
Nitella [24]

Answer:

( $74.623, $83.777)

The 90% confidence interval is = ( $74.623, $83.777)

Critical value at 90% confidence = 1.645

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $79.20

Standard deviation r = $10.41

Number of samples n = 14

Confidence interval = 90%

Using the z table;

The critical value that should be used in constructing the confidence interval.

z(α=0.05) = 1.645

Critical value at 90% confidence z = 1.645

Substituting the values we have;

$79.20+/-1.645($10.42/√14)

$79.20+/-1.645($2.782189528308)

$79.20+/-$4.576701774067

$79.20+/-$4.577

( $74.623, $83.777)

The 90% confidence interval is = ( $74.623, $83.777)

5 0
3 years ago
Big drop is twice as long as little drop how long is little drop?
Dmitrij [34]
Twice as long as little drop...
6 0
4 years ago
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