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3 years ago

Number 14 please. I need help badly.

Mathematics

1 answer:

Leya [2.2K]3 years ago

3 0

Answer:

23b - 8

Step-by-step explanation:

Simplify:

(9b + 8) + (12b - 8) + (12b - 8)

Remove parenthesis

9b + 8 + 12b - 8 + 12b - 8

Add like terms

9b + 12b + 12b = 23b

8 - 8 - 8 = -8

Simplified expression:

23b - 8

If my answer is incorrect, pls correct me!

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-Chetan K

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HELP PLEASE!!

NeTakaya

Answer:

Yes it is correct.

Step-by-step explanation:

It is correct because .75 time 3 is 2.25 and .75 times 4 is 3.00 and .75 times 6 equals 4.50 and .75 times 8 equals 6.00.

4 0

3 years ago

The sum of 13 and twice a number is seven less than six times a number. what is the number

Trava [24]

Let, the number = x
It would be: 13 + 2x + 7 = 6x
2x+20 = 6x
6x-2x = 20
4x = 20
x = 20/4
x = 5

In short, Your Answer would be 5

Hope this helps!

5 0

3 years ago

The manager of a company uses the function shown to model the company’s daily profit based on the price of a product in dollars,

just olya [345]

Answer: 1) The minimum price, in dollars, to avoid a loss = 22,

2) the maximum price in dollars , to avoid a loss = 53,

3) The price that results the maximum profit = 37.5 dollars

Step-by-step explanation:

Since the given function that shows the total profit,

$f(x) = (x-22)(53-x)$

Where x is the price of the product.

Since for avoiding the loss,

$f(x) \geq 0$ ,

⇒ $(x-22)(53-x)\geq 0$

If $(x-22)\geq 0 \implies x\geq 22$

If $53 - x \geq 0 \implies 53 \geq x$

Thus, 53 ≥ x ≥ 22,

Therefore, the minimum price to avoid the loss = $ 22

And, the minimum price to avoid the loss = $ 53

$f'(x) =\frac{d}{dx}[(x-22)(53-x)] = (x-22)\frac{d}{dx} (53-x)+(53-x) \frac{d}{dx}(x-22)$

⇒ $f'(x) = - (x-22)+(53-x) = -x+22+53-x =-2x+75$

Now, For maximum or minimum,

$f'(x) = 0$ ,

⇒ $-2x+75 = 0$

⇒ $-2x = -75$

⇒ $x = 37.5$

$f''(x) = \frac{d}{dx}(-2x+75)=-1$

For x = 37.5, f''(x) is negative,

Thus, For the price of $ 37.5 dollars the company has the greatest profit.

4 0

3 years ago

There are 90 students in Grade 5, and 10% of them were absent today.In Grade 6, 15% of the 80 students were absent today.What wa

podryga [215]

Answer:

21 students

Step-by-step explanation:

90 x .10 = 9

80 x .15 = 12

9 + 12 = 21 students

3 0

3 years ago

Let f(x) = Square root of 6x and g(x) = x - 3. What's

atroni [7]

For this case we have the following equations:

$f (x) = \sqrt {6x}\\g (x) = x-3$

We must find $(f_ {o} g) (x):$

By definition of composition of functions we have to:

$(f_ {o} g) (x) = f (g (x))$

So:

$(f_ {o} g) (x) = \sqrt {6 (x-3)}$

We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined. That is to say:

$6 (x-3) \geq0\\(x-3) \geq0\\x \geq3$

Then, the domain is given by [3, ∞)

Answer:

The smallest number that is the domain of the composite function is 3

3 0

3 years ago