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2 years ago

How to distribute like terms

Mathematics

1 answer:

Elza [17]2 years ago

4 0

Alright, for 10, let's see 2(x+3). Use the distributive property to multiply 2 with x, which is 2x. Then, multiply 2 with 3, which is 6. Add them together to get 2x+6. For the second part, 4 times x is 4x and 4 times negative 2 is -8. Add them all up and you get 2x+6+4x-8=6x-2. Remember that you can't add a variable with other variables/just numbers, and a minus sign in front of terms in parenthesis means that everything in the parenthesis is negative!

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Suppose the bacteria population in a specimen increases at a rate proportional to the population at each moment. There were 100

NNADVOKAT [17]

9514 1404 393

Answer:

about 3,160,000,000

Step-by-step explanation:

"Increases at a rate proportional to population" means the growth is exponential. It can be modeled by the equation ...

p = ab^t

We can find 'a' and 'b' using the given data points.

100 = ab^(-4) . . . . . . . population 4 days ago

100,000 = ab^(-2) . . . population 2 days ago

Dividing the second equation by the first, we find ...

1000 = b^2

b = 1000^(1/2)

Substituting for b in the first equation, we have ...

100 = a(1000^(1/2))^(-4) = a(1000^-2)

100,000,000 = a

Then the population model is ...

p = 100,000,000×1000^(t/2)

Tomorrow (t=1), the population will be ...

p = 100,000,000 × 1000^(1/2) ≈ 31.6 × 100,000,000

p ≈ 3,160,000,000 . . . . . bacteria by tomorrow

_____

Additional comment

We could write this as ...

p = 10^(8+1.5t)

Then for t=1, this is p = 10^(8+1.5) = 10^0.5 × 10^9 = 3.16×10^9

7 0

2 years ago

Write an equation that models this situation. At a sports banquet, 8 guests are seated at each of the 15 available tables. How m

DaniilM [7]

Answer: The equation that models this situation is:

x = 15 × 8 or x ÷ 8 = 15

Step-by-step explanation:

Let 'x' be the total number of guests who are seated at the tables.

If have to determine how many guests (x) are seated at the tables, all we need is to multiply the 15 with 8.

so the equation becomes

x = 15 × 8 or x ÷ 8 = 15

Therefore, the equation that models this situation is:

x = 15 × 8 or x ÷ 8 = 15

hope this helps good luck

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2 years ago

Molly shot 20 baskets in 4 minutes. Nico shot 42 baskets in 6 minutes. How many more baskets did Nico shoot per day minute?

Zarrin [17]

Nico shot 2 baskets per mintue

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2 years ago

Read 2 more answers

The recursive formula for an arithmetic sequence is:

xenn [34]

The answer is A so pick that

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1 year ago

Y'all if you know how to do this math question pls help me out

Nana76 [90]

Answer:

5i * 7i = 64

Step-by-step explanation:

i stands for inches, but Ion kno if that's the variable u need. But what I did makes the most sense. But Ion kno if it's right cuz that's my best guess, so y'all don't be gettin mad if it's wrong.

7 0

2 years ago