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2 years ago

Which property is used in the first step to solve this equation

Mathematics

1 answer:

kozerog [31]2 years ago

6 0

Answer:

Distributive property

Step-by-step explanation:

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At the start of the year, 15 chameleons were introduced into a zoo. The population of chameleons is expected to grow at a rate o

bearhunter [10]

Answer:

option-B

Step-by-step explanation:

We are given

At the start of the year, 15 chameleons were introduced into a zoo

so, $P_0=15$

The population of chameleons is expected to grow at a rate of 41.42% every year

so, r=0.4142

and x represents the number of years since the chameleons were introduced into the zoo

now, we can set equation to find total population

and we get

$P(x)=P_0(1+r)^x$

now, we can plug values

$P(x)=15(1+0.4142)^x$

$P(x)=15(1.4142)^x$

Average rate of change between 2 years and 4 years:

we can use formula

$A_1=\frac{P(4)-P(2)}{4-2}$

now, we can plug values

$A_1=\frac{15(1.4142)^{4}-15(1.4142)^{2}}{4-2}$

$A_1=14.99914$

Average rate of change between 4 years and 6 years:

we can use formula

$A_2=\frac{P(6)-P(4)}{6-4}$

now, we can plug values

$A_2=\frac{15(1.4142)^{6}-15(1.4142)^{4}}{6-4}$

$A_2=29.99770$

Average rate of change between 6 years and 8 years:

we can use formula

$A_3=\frac{P(8)-P(6)}{8-6}$

now, we can plug values

$A_3=\frac{15(1.4142)^{8}-15(1.4142)^{6}}{8-6}$

$A_3=59.99425$

now, we will check each options

option-A:

we can see that

$A_3-A_2=30$

So, this is FALSE

option-B:

$A_1=\frac{1}{2}A_2$

So, this is TRUE

option-C:

This is FALSE

option-D:

we got

$A_1=\frac{1}{2}A_2$

so, this is FALSE

5 0

3 years ago

If g(x) = {(4, -5), (-3, 2), (-6, 1), (1,0)}, which set of ordered pairs represents

Ket [755]

Answer:

The inverse of g(x) is {(-5, 4), (2, -3), (1, -6), (0, 1)} ⇒ (A)

Step-by-step explanation:

To find the inverse of a function switch x and y

Example:

If f(x) = {(1, 2), (-4, 5), (0, 0)}

To find its inverse switch x and y in each ordered pair

The inverse of f(x) = {(2, 1), (5, -4), (0, 0)}

Let us do the same with our question

∵ g(x) = {(4, -5), (-3, 2), (-6, 1), (1, 0)}

→ Switch x and y coordinates in all ordered pair

∴ The inverse of g(x) = {(-5, 4), (2, -3), (1, -6), (0, 1)}

Look at the answer to find the correct choice

It is (A)

6 0

3 years ago

F(3) = 25

grandymaker [24]

Answer:

Which statement best explains how enzymes speed up a chemical reaction?

Enzymes add heat to a chemical reaction.

Enzymes lower the activation energy of a chemical reaction.

Enzymes remove heat from a chemical reaction.

Enzymes are not changed as a result of a chemical reaction.

Step-by-step explanation:

6 0

2 years ago

Write word to match the expression 36÷4

Alja [10]

Hmm i guess this is what you are asking, thirty six divided by four. hope that helps

6 0

3 years ago

Read 2 more answers

Pls help I’m failing

GuDViN [60]

Answer:

-7

Step-by-step explanation:

you divide both sides by -2 and 14/-2 is equal to -7

6 0

2 years ago