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Leviafan
13 days ago
12

Andre says that any real number can go in either of the boxes and A will be a

Mathematics
1 answer:
Svet_ta [9.5K]13 days ago
7 0

Response:

Andy is mistaken

Step-by-step explanation:

[See attachment for complete question]

The reason Andy is wrong is as follows.

Filling in the empty boxes with any real numbers does not ensure that the expression will qualify as a polynomial.

For example, if the expression is completed as follows:

(5x⁴ + 4x³)(4x^(2.7981) - 6) = A

This output does not represent a polynomial because the powers of x must all be non-negative integers.

Therefore, Andy's assertion is incorrect

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Victor had 15-kilometers start on Chase. How long will it take Chase to catch Victor if Victor travels at 65 kilometers per hour
tester [8842]

Answer:

  1/2 hour

Step-by-step explanation:

The distance of the head start decreases at a rate of (95-65) = 30 km/h. Thus, Chase will reach Victor after...

  time = distance/speed = (15 km)/(30 km/h) = 1/2 hour

Chase will take 1/2 hour to catch up with Victor.

4 0
6 days ago
An element with mass 730 grams decays by 28.8% per minute. How much of the element is remaining after 10 minutes, to the nearest
AnnZ [9099]
\bf \qquad \textit{Amount for Exponential Decay}\\\\
A=P(1 - r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &730\\
r=rate\to 28.8\%\to \frac{28.8}{100}\to &0.288\\
t=\textit{elapsed time}\to &10\\
\end{cases}
\\\\\\
A=730(1-0.288)^{10}\implies A=730(0.712)^{10}
6 0
11 days ago
Read 2 more answers
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures cell phones can be mo
zzz [9080]

Answer:

  • The profit can be expressed as 70x + 50
  • If 240 phones are sold, the profit amounts to $16,850

Detailed explanation:

The revenue function R(x) is provided as R(x)=2x^2+55x+10

The cost function C(x) is given as C(x)=2x^2-15x-40


Profit is calculated by subtracting cost from revenue, expressed as Profit = Revenue − Cost

We substitute the given revenue and cost functions into this formula.

Denote the profit function as P(x).

P(x)=R(x)-C(x)\\P(x)=2x^2+55x+10-(2x^2-15x-40)\\P(x)=2x^2+55x+10-2x^2+15x+40\\P(x)=70x+50

Therefore, the profit function formula simplifies to 70x + 50


Since x denotes the quantity of phones sold, to find the profit when 240 phones are sold, we substitute x = 240 into the profit expression above.

P(x)=70x+50\\P(240)=70(240)+50\\P(240)=16,850

Hence, selling 240 phones yields a profit of $16,850

5 0
1 month ago
Which type of function best models the data shown on the scatterplot?
Zina [9171]
The shape of the graph created by these data points indicates it correlates best with a quadratic function.
5 0
7 days ago
Read 2 more answers
Which of the following functions is graphed below?
PIT_PIT [9117]

Answer:

D.

Step-by-step explanation:

This function is piece-wise, meaning you will have two equations along with distinct domains. The equation x squared plus 3 illustrates a parabolic curve, while x plus 4 is depicted as a linear function. There is a specific reason why the point on the parabola is open at x equals 4; this signifies that the value does not satisfy the equation. Therefore, x cannot equal 4 for the parabola, so its domain is x less than 4. The closed point on the linear function indicates that when x is 4, it is part of the solution for that equation and graph. Consequently, the domain for the linear function is x greater than or equal to 4. Hope this clarifies things!

8 0
1 month ago
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