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Andru [333]
3 years ago
5

Given f(x) = -4x - 10 and g(x) = x2 + 1 find f(-2) + g(3).

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
4 0
The answer to the question

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Marco has a 7 foot long sidewalk. He wants to divide it into 8 equal-length sections for a game. How long will each section of s
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40 feet long but i not positive i will returned in one second

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Nia and Trey both had sore throats, so their mom told them to gargle with warm salt water. Nia mixed 1 teaspoon salt with 3 cups
Harrizon [31]

Answer:

Each mixture has the same amount of salt for every 1 cup of water.

Step-by-step explanation:

It is provided that:

  • Nia mixed 1 teaspoon salt with 3 cups warm water.
  • Trey mixes 1 /2 teaspoon salt with one and 1/2 cups warm water.

The ratio of the number of teaspoons of salt to the number of cups of water is 1 : 3 in Nia's solution.

On dividing the amount of salt and the amount of water by 3, the ratio will be the same.

\text{Salt}: 1\div3=\frac{1}{3}\\\\\text{Water}:3\div3=1\\

Thus 1 : 3 is equivalent to the ratio \frac{1}{3}:1, which means that Nia's solution has \frac{1}{3}teaspoon of salt for every cup of water.

The ratio of the number of teaspoons of salt to the number of cups of water is \frac{1}{2}:1\frac{1}{2} in Trey’s solution.

On dividing the amount of salt and the amount of water by 1\frac{1}{2}, the ratio will be the same.

\text{salt}:\frac{1}{2}\div 1\frac{1}{2}=\frac{1}{3}\\\\\text{Water}:1\frac{1}{2}\div1\frac{1}{2}=1

So Trey’s ratio is also equal to the ratio \frac{1}{3}:1.

Since each mixture has the same amount of salt for every 1 cup of water, they are equally salty and taste the same.

4 0
3 years ago
An investment of $450 increases at a rate of 6.5% per year. What is the growth factor, b?
Alina [70]
\bf \qquad \textit{Amount for Exponential Growth}
\\\\
A=P(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &450\\
r=rate\to 6.5\%\to \frac{6.5}{100}\to &0.065\\
t=\textit{elapsed time}\\
\end{cases}
\\\\\\
A=450(1+0.065)^t\implies A=450(\stackrel{growth~factor}{1.065})^t
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A contractor bought 10.8 ft squared of sheet metal. has used 2.1 ft squared so far and has ​$139.20 worth of sheet metal remaini
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Answer:

7.1

Step-by-step explanation:

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The measure of angle t is 60 degrees. What is the x-coordinate of the point where the terminal side intersects the unit circle?
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Angle t would be equal to cos(60 degrees) which has coordinates (1/2,sqrt3/2) so that answer is 1/2
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