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makvit [3.9K]
2 years ago
7

Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing? (–6.5, ∞)

Mathematics
1 answer:
juin [17]2 years ago
7 0

Using the first derivative test, it is found that the graph is increasing on the interval is (-5, ∞).

<h3>What is Function?</h3>

A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.

Here, the function is given by:

        f(x)  =   x²/2 + 5x + 6

On differentiating both sides, with respect to x we get

      f'(x) = x + 5

Then, we test the signal of the derivative, which is the first derivative test.

      x + 5 ≥ 0

       x ≥ -5

Thus, It is found that the Function is increasing on the interval is (-5, ∞).

Learn more about Function from:

brainly.com/question/12431044

#SPJ1

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Use the "at least once" rule to find the probability of getting at least one 2 in four rolls of a single fair die.
Alexandra [31]

Answer:

Probability of getting at least one 2 equals 0.5177

Step-by-step explanation:

The probability of at least one success is

P=1-(1-p)^{n}

where,

'p' is probability of success of 1 trail

'n' is number of events

We have probability of getting 2 is 1/6 thus 'p' = 1/6

Applying values we get

P=1-(1-\frac{1}{6})^{4}\\\\P= 0.51177

8 0
3 years ago
Which angle in triangle DEF has the largest measure?​
nordsb [41]

Answer:

D is the largest angle

Step-by-step explanation:

The angle opposite the largest side is the largest and the angle opposite the smallest side is the smallest.

Since 12 is the largest side, angle D is the largest

8 is the smallest side, F is the smallest angle

7 0
3 years ago
The cost of safely disposing/A of the toxic chemicals is approximately/B
melomori [17]

The cost of safely disposing of the toxic chemicals is approximately five times what the company paid to purchase it.(Option D)

<h3>What is sentence correction?</h3>

Sentence correction or sentence improvement is a type of grammatical practice where a sentence is given with a word or a phrase that requires grammatical changes or improvement.

Now,

  • Here, we are talking about "toxic chemicals", that is "plural" but in the Part D of the sentence, "it" refers to the singular chemical.

Hence, the correction needs to be made at Option D; the correction would be: "paid to purchase them."

To learn more about sentence correction, refer to the link: brainly.com/question/14632568

#SPJ4

3 0
1 year ago
Joaquin is ordering 5 identical sandwiches and a bag of chips. The bag of chips cost $1.25 and the entire order costs $38.75. Wr
GenaCL600 [577]

Answer:

A sandwich costs $7.5

Step-by-step explanation:

Given

Represent chips with c and sandwiches with c

c = \$1.25

Total = \$38.75

From the question, we understand that 5 sandwiches were ordered.

Hence, the question of the system is:

5s + c = Total

Substitute values for Total and c

5s + 1.25 = 38.75

Collect Like Terms

5s  = 38.75 - 1.25

5s  = 37.5

Divide both sides by 5

s = \frac{37.5}{5}

s = 7.5

3 0
3 years ago
What is the volume?<br> 2 cm<br> 2 cm<br> 2 cm<br> cubic centimeters
Aliun [14]

Answer:

V = 8 cm³

Step-by-step explanation:

the volume (V) of a cube is calculated as

V = s³ ( s is the side length )

here s = 2 , then

V = 2³ = 8 cm³

3 0
2 years ago
Read 2 more answers
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