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Anarel [89]
2 years ago
11

Are the expressions 8a - 3b - (2a + 4b) and 6a + b equivalent?

Mathematics
1 answer:
Margaret [11]2 years ago
3 0

Answer:

No.

Step-by-step explanation:

Let's start by simplifying the first expression:

8a-3b-(2a+4b)

Remove the parentheses:

8a-3b-(2a)-(4b)\\8a-3b-2a-4b

Combine like terms:

8a-2a-3b-4b\\6a-7b

6a-7b\neq 6a+b (Assuming that none of the variables are equivalent to 0)

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Which of the following situations describes a function? Remember you are looking for an independent variable and a dependent var
BlackZzzverrR [31]

The situation that is a function is: C. The weight of a package and the cost of postage.

<h3>What is a Function?</h3>

A function can be described as a relation whereby there can only be one exact possible output value (dependent variable) for every input value (independent variable) in the relation. This means, no input value has two different output values. However, two different input values can have the same output value.

In a function, the output value is dependent on the input value.

For example, the cost of postage (output) is dependent on the weight of a package (input).

Therefore, the situation that is a function is: C. The weight of a package and the cost of postage.

Learn more about function on:

brainly.com/question/15602982

#SPJ1

6 0
1 year ago
True or false<br> To find the complement of an event (P(not A)), you solve 1-P(A).
PilotLPTM [1.2K]

Answer:

true

Step-by-step explanation:

7 0
2 years ago
A swimming pool is being drained so it can be cleaned. The amount of water in the pool is changing according to the función f(t)
TiliK225 [7]

Answer:

0 ≤ t ≤ 5.

Step-by-step explanation:

In the function f(t), t is the independent variable. The domain of f is the set of all values of t that this function can accept.

In this case, f(t) is defined in a real-life context. Hence, consider the real-life constraints on the two variables. Both time and volume should be non-negative. In other words,

  • t \ge 0.
  • f(t) \ge 0.

The first condition is an inequality about t, which is indeed the independent variable.

However, the second condition is about f, the dependent variable of this function. It has to be rewritten as a condition about t.

\begin{aligned} f(t) &\ge 0 &&\text{Assumption} \cr 80000 - 16000\, t& \ge 0 && \text{Definition of} ~ f \cr 80000 & \ge 16000\, t && \begin{aligned}&\text{Add $16000\, t$} \\[-0.5em] & \text{to both sides of the inequality}\end{aligned} \cr 5 &\ge t &&\begin{aligned}&\text{Divide both sides of} \\[-0.5em] & \text{the inequality by $16000$}\end{aligned} \cr t &\le 5 && \text{Flip the inequality}\end{aligned}.

Hence, t ≤ 5.

Combine the two inequalities to obtain the domain:

0 ≤ t ≤ 5.

6 0
3 years ago
Adam plans to choose a video game from a section of the store where everything is 75% off. He writes the expression −0.75 to fin
Salsk061 [2.6K]

Answer:

Step-by-step explanation:

Adam plans to choose a video game from a section of the store where everything is 75% off.

The expression written by him for this situation is d - 0.75d.

Here, the part d represents the sale price before discount and the part 0.75d is the discount amount.

The expression written by Rena is 0.25d.

Here, the part 0.25d is the price after discount. Since 75% is the discount, the rate after disount is 25% and 25% of d is 0.25d.

6 0
3 years ago
Can someone help me or take a picture of the work unless u want to type it thanks to who ever helps
m_a_m_a [10]
If you cannot read it, let me know.

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3 years ago
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