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2 years ago

Combine the like terms to create an equivalent expression: 8t +1 + (-4t) + (-6)

Mathematics

2 answers:

olga_2 [115]2 years ago

8 0

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$\blue\textsf{\textbf{\underline{\underline{Question:-}}}}$

Combine like terms to create an equivalent expression:-

8t+1+(-4t)+(-6)

$\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}$

First, +(-4t) is the same as -4t:-

8t+1-4t+(-6)

Same with +(-6):-

8t+1-4t-6

Subtract the t's:-

4t+1-6

And finally,

4t-5

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maxonik [38]2 years ago

5 0

Answer:4t-5

Step-by-step explanation:

8t + 1 + (-4t) + (-6)

8t+1-4t-6

8t-4t+1-6

4t-5

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Given the function f(x) = 4(2)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.

Dmitry [639]

Answer:

Step-by-step explanation:

I'm sure you want your functions to appear as perfectly formed as possible so that others can help you. f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation: f(x) = 4(2)^x

f(b) - f(a)

The formula for "average rate of change" is a.r.c. = --------------

b - a

change in function value

This is equivalent to ---------------------------------------

change in x value

For Section A: x changes from 1 to 2 and the function changes from 4(2)^1 to 4(2)^2: 8 to 16. Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2. Thus, in this Section, the a.r.c. is:

------ = 8 units (Section A)

Section B: x changes from 3 to 4, a net change of 1 unit: f(x) changes from

4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units. Thus, the a.r.c. is

224 units

----------------- = 224 units (Section B)

1 unit

The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.

This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").

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4 years ago

Can anyone please help me this? stuck with this problem for hours

Art [367]

First time the area of the circle and the square.
The radius of the first is 4, so the area of the circle is 16pi.
The area of the square is 32.
You can subtract the area of the circle by the square because some most of the circle is being covered by the square.
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4 years ago

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What is the mean and standard deviation of the random variable Y (the number of females out of 40 who are color blind)? Answers

Debora [2.8K]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Colorblindness is any abnormality of the color vision system that causes a person to see colors differently than most people, or to have difficulty distinguishing among certain colors Colorblindness is gender-based, while the majority of sufferers being males.

Roughly 8% of white males have some form of colorblindness, while the incidence among white females is only 1%. A random sample of 20 white males and 40 white females was chosen.

Let X be the number of males (out of the 20) who are colorblind.

Let Y be the number of females (out of the 40) who are colorblind.

What is the mean and standard deviation of the random variable Y (the number of females out of 40 who are color blind)? Answers may be rounded.

Given Information:

Female colorblindness proportion = 1%

Male colorblindness proportion = 8%

Female sample size = 40

Male sample size = 20

Required Information:

Mean = μ = ?

Standard deviation = σ = ?

Answer:

Mean = μ = 0.40

Standard deviation = σ = 0.015

Step-by-step explanation:

Let us check if the condition np ≥ 10 is satisfied or not

40*0.01

0.4 < 10

Since the condition np ≥ 10 is not satisfied the binomial random variable cannot be well approximated by a normal random variable. A larger sample size would be required to satisfy the condition np ≥ 10.

The mean is

μ = np

μ = 40*0.01 = 0.40

The standard deviation is

σ = √p(1 - p)/n

σ = √0.01(1 - 0.01)/40

σ = 0.015

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3 years ago

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kotegsom [21]

Answer:

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3 years ago

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Komok [63]

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Step-by-step explanation:

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