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3 years ago

{(1, 2), (2, 3), (3, 4), (4, 5)} is this a function and why?

Mathematics

2 answers:

nevsk [136]3 years ago

8 0

It is a function because the x does not repeat

Andrews [41]3 years ago

7 0

This is a function. Each x value corresponds to exactly one y value. ( x's did not repeat)

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Use the remainder theorem to divide 5x^2+9x-2 by x+3. What is the remainder

marishachu [46]

Answer:

Step-by-step explanation:

Given

f(x)=5x^2+9x-2

Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).

Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:

f(x)=5x^2+9x-2

f(-3) = 5(-3)^2 +9(-3) -2

=5(9) - 27 -2

= 45-29

= 16 !

7 0

3 years ago

Read 2 more answers

Lin counts 5 bacteria under a microscope. She counts them again each day for four days, and finds that the number of bacteria do

Liula [17]

Answer:

The population of bacteria can be expressed as a function of number of days.

Population = $5*2^{n-1}$ where n is the number of days since the beginning.

Step-by-step explanation:

Number of bacteria on the first day= $5 * 2^{0} = 5$

Number of bacteria on the second day = $5 * 2^{1} = 10$

Number of bacteria on the third day = $5*2^{2} = 20$

Number of bacteria on the fourth day = $5*2^{3} = 40$

As we can see , the number of bacteria on any given day is a function of the number of days n.

This expression can be expressed generally as $5*2^{n-1}$ where n is the number of days since the beginning.

6 0

3 years ago

What is the correct answer to number 7? Please explain and break it down step by step.

a_sh-v [17]

Answer:

The answer to your question is (x + 3)

Step-by-step explanation:

$\frac{5x + 5}{x} \frac{x^{3}+ 3x^{2}}{x^{2} - 1} \frac{x - 1}{5x}$

Factor the expression

$\frac{5(x + 1)}{x} \frac{x^{2}(x + 3)}{(x - 1)(x + 1)} \frac{x - 1}{5x}$

Simplify

Cancel 5 because is in both numerator and denominator

Cancel (x + 1) because is in both numerator and denominator

Cancel (x - 1) because is in both numerator and denominator

Cancel x² because is in both numerator and denominator

After simplifying, the result is (x + 3)

6 0

3 years ago

WILL GIVE BRAINLIST AS SOON AS I CAN is this 32, maybe? i have no idea.

Feliz [49]

Answer:

y ≈ 32.0°

Step-by-step explanation:

Since the triangle is right use the sine ratio to find y

sin y = $\frac{opposite}{hypotenuse}$ = $\frac{9}{17}$ , thus

y = $sin^{-1}$ ( $\frac{9}{17}$ ) ≈ 32.0° ( nearest tenth )

8 0

3 years ago

3. The total cost for 9 bracelets, including shipping was $72. The shipping charge was $9. Define your variable and write an equ

ikadub [295]

Answer:

The equation that models the cost of each bracelet is $72=9x+9$ . Cost of each bracelet is $7.

Step-by-step explanation:

Let the cost of each bracelet is defined by the variable x.

Cost of 9 bracelet is 9x. The shipping cost is $9. Therefore the total cost of 9 bracelets, including shipping is

$\text{Total Cost}=9x+9$

The total cost for 9 bracelets, including shipping is $72.

$72=9x+9$

Subtract 9 from both sides

$72-9=9x+9-9$

$63=9x$

Divide both sides by 9.

$7=x$

Therefore the cost of each bracelet without shipping changes is $7.

8 0

3 years ago