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2 years ago

G(t)=(t−7)(t+6) What is the domain of gg?

Mathematics

1 answer:

Oxana [17]2 years ago

5 0

Answer:

All Real Numbers

Step-by-step explanation:

g(t) = (t − 7)(t + 6)

= t^2 - t - 42

This is a parabola which opens upwards.

The domain is All Real Numbers

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Can someone please help me with this

postnew [5]

Put the given values of p and q in the factored form equation.

... f(x) = (x -(-1))(x -(-2)) . . . . p and q values put in

... f(x) = (x +1)(x +2) . . . . . . .simplified

Multiplying the factors, we have

... f(x) = x(x +2) + 1(x +2) = x² +2x +1x +2

... f(x) = x² +3x +2

We want to factor x³ -x² -6x. We notice first of all that x is a factor of all terms. Thus we have

... = x(x² -x -6)

Now, we're looking for factors of -6 that add up to -1. Those are -3 and 2. Thus the factorization is ...

... = x(x -3)(x +2)

We want a description of the structure and an equivalent expression for

... 64x⁹ -216

We note that 64, 216, and x⁹ are all cubes, so this expression is ...

... the difference of cubes.

It can be rewritten to

... = 8((2x³)³ -3³)

and so can be factored as

... = 8(2x³ -3)(4x⁶ +6x³ +9)

7 0

2 years ago

68% of the tickets sold at a water park were child tickets. If the park sold 50 tickets in all, how many child tickets did it se

Mnenie [13.5K]

Answer:

$\boxed{\bf\: The \: park \: sold \boxed{ 34{}} \: child \: tickets.}$

Step-by-step explanation:

<u>Given:</u>

Percentage of Tickets sold at a water park - 68%

The Number of Tickets if the park sold in all - 50

<u>To </u><u>Find:</u>

The Number of child tickets the park sold.

<u>Solution:</u>

We know that 68% equals to 68/100.

Step 1: Multiply 68/100 by 50 which is the number of tickets the park sold :-

$\sf \: = \: \cfrac{68}{100} \times 50$

<u>Note</u>:The Simplified form of 68/100 * 50 would be the answer to this question.

Step 2: <u>Cancel One zero of 50 and one zero of 100,That is</u>:-

$\sf = \cfrac{68}{ 10\cancel0} \times 5 \cancel0$

<em>Results to,</em>

$\sf = \cfrac{68}{10} \times 5$

Step 3: <u>Cancel 5 and 10, That is</u>:-

$\sf = \cfrac{68}{ \cancel{10 }} \times \cancel5$

<em>Results to,</em>

$\sf =\: \cfrac{68}{2} \times 1$

$\sf = \cfrac{68}{2}$

Step 4: <u>Cancel 68 and 2, That is</u>:-

$\sf =\: \cfrac{ \cancel{68}}{ \cancel2}$

<em>Results to,</em>

$\sf = \cfrac{34}{1}$

$\sf = 34$

34 is the result.

Hence,

$\underline{ \rm \: The \: park \: sold \: \bold{ 34 } \: child \: tickets.}$

________________________________

I hope this helps!

Let me know if you have any questions.I am joyous to help!

6 0

2 years ago

What is the unit rate for 15 apples eaten in 5 minutes for 15 apples eaten in 5 minutes

USPshnik [31]

The unit rate is 3 apples per minute

Step-by-step explanation:

Unit rate will be calculated by dividing the total number of apples by the time

Given

Total number of apples = 15

Time = 5 min

So, The unit rate will be:

$Unit\ rate=\frac{Apples}{Time}\\=\frac{15}{5}\\=3\ apples\ per\ min$

Hence,

The unit rate is 3 apples per minute

Keywords: Unit rate, Division

Learn more about unit rate at:

#LearnwithBrainly

8 0

2 years ago

Rose rolled a regular 6-sided dice. What is the probability she rolled an even number?

kherson [118]

Answer:

$\frac{3}{6}$

Step-by-step explanation:

7 0

2 years ago

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A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is proportiona

Masteriza [31]

Answer:

900 calories

Step-by-step explanation:

each cracker has 5 calories so you would times 5 by 180 which gets you 900

6 0

2 years ago

Read 2 more answers