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3 years ago

What is the domain of the following graph? Please don't put links down I cant download them.

Mathematics

2 answers:

rosijanka [135]3 years ago

8 0

Answer:

-infinity, infinity

Step-by-step explanation:

Domain is x, and in a quadratic equation like this one the x axis goes on forever. So the first answer of -infinity, infinity is correct.

irina1246 [14]3 years ago

6 0

Answer:

(-inf, inf)

Step-by-step explanation:

Remember, the domain of the function looks at purely the input values (x-axis), not your output values (y-axis).

Keeping this in mind, you can see that the x values stretch from the far left, -inf to the far right +inf.

Remember, as infinities aren't considered actual values, you put them in parentheses. This means your answer is (-inf, inf).

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If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after t hours is n

natali 33 [55]

Answer:

$f^{-1}=3ln_2(\frac{t}{100})$

f^-1 represents the number of hours the bacteria developed

Step-by-step explanation:

$f(t) = 100 \cdot 2^\frac{t}{3}$

To find inverse of a function , replace f(t) with y

$y= 100 \cdot 2^\frac{t}{3}$

replace t with y and y with x

$x= 100 \cdot 2^\frac{y}{3}$

solve for y

divide both sides by 100

$\frac{x}{100} =2^\frac{y}{3}$

take ln on both sides

$ln \frac{x}{100} =\frac{y}{3}ln 2$

divide both sides by ln

$ln_2(\frac{x}{100}) =\frac{y}{3}$

multiply by 3 on both sides

$y=3ln_2(\frac{x}{100})$

Replace x with t and y with f^-1

$f^{-1}=3ln_2(\frac{t}{100})$

f^-1 represents the number of hours the bacteria developed

7 0

3 years ago

Simplify (5x-7) (2x+3) (7x-8)

Natali5045456 [20]

Answer:

70x³ - 73x² - 155x + 168

Step-by-step explanation:

Given

(5x - 7)(2x + 3)(7x - 8) ← expand the first pair of factors using FOIL

= (10x² + x - 21)(7x - 8)

Each term in the second factor is multiplied by each term in the first factor, that is

10x² (7x - 8) + x(7x - 8) - 21(7x - 8) ← distribute the 3 parenthesis

= 70x³ - 80x² + 7x² - 8x - 147x + 168 ← collect like terms

= 70x³ - 73x² - 155x + 168

3 0

3 years ago

Option is<br> AA<br> SAS<br> Not enough information to prove similarity<br> SSS

lara31 [8.8K]

Answer:

SAS

Step-by-step explanation:

The included angle is similar and they have corresponding sides.

5 0

2 years ago

How do I solve this?

storchak [24]

What you would do, is add up on how many people have is Non-Fiction books and Fiction books. Once you have that, subtract it. You should get an answer of 2.

6 0

3 years ago

SERIOUSLY NEED HELP QUICK! The table shows the total cost for different numbers of jackets.

Tema [17]

The cost of 3 jackets would be $69.75.

8 0

3 years ago

Read 2 more answers