Using function concepts, it is found that:
- The domain is: {0, 1, 2, 3, 4, 5, 6}
- The range is: {0, 0.25, 0.5, 0.75, 1, 1.25, 1.5}.
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- The domain of a data-set is the set that contains <u>all possible input values.</u>
- The range of a data-set is the set that contains <u>all possible output values.</u>
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- The data-set is (n, 0.25n), in which the <u>input is the number of quarters n</u>, and the <u>output in the amount in dollars</u>, which is 0.25n, as each quarter is worth $0.25.
- Up to $1.50, thus at most 6 coints, as
![\frac{1.5}{0.25} = 6](https://tex.z-dn.net/?f=%5Cfrac%7B1.5%7D%7B0.25%7D%20%3D%206)
Thus means that:
- The domain is: {0, 1, 2, 3, 4, 5, 6}
- The range is: {0, 0.25, 0.5, 0.75, 1, 1.25, 1.5}.
A similar problem is given at brainly.com/question/2145599
Answer:
d) y z x-2 + 3
Step-by-step explanation:
Answer:
2M will be:
![2\begin{pmatrix}3&5\\ -4&0\end{pmatrix}=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}](https://tex.z-dn.net/?f=2%5Cbegin%7Bpmatrix%7D3%265%5C%5C%20-4%260%5Cend%7Bpmatrix%7D%3D%5Cbegin%7Bpmatrix%7D6%2610%5C%5C%20-8%260%5Cend%7Bpmatrix%7D)
Therefore, the 2nd option is true.
Step-by-step explanation:
Given the matrix
![M=\begin{pmatrix}3&5\\ -4&0\end{pmatrix}](https://tex.z-dn.net/?f=M%3D%5Cbegin%7Bpmatrix%7D3%265%5C%5C%20-4%260%5Cend%7Bpmatrix%7D)
Multiplying by 2 will basically be a scalar multiplication.
Therefore, multiply each of the matrix elements by a scalar.
![2M=2\begin{pmatrix}3&5\\ \:-4&0\end{pmatrix}](https://tex.z-dn.net/?f=2M%3D2%5Cbegin%7Bpmatrix%7D3%265%5C%5C%20%5C%3A-4%260%5Cend%7Bpmatrix%7D)
![=\begin{pmatrix}2\cdot \:3&2\cdot \:5\\ 2\left(-4\right)&2\cdot \:0\end{pmatrix}](https://tex.z-dn.net/?f=%3D%5Cbegin%7Bpmatrix%7D2%5Ccdot%20%5C%3A3%262%5Ccdot%20%5C%3A5%5C%5C%202%5Cleft%28-4%5Cright%29%262%5Ccdot%20%5C%3A0%5Cend%7Bpmatrix%7D)
![=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}](https://tex.z-dn.net/?f=%3D%5Cbegin%7Bpmatrix%7D6%2610%5C%5C%20-8%260%5Cend%7Bpmatrix%7D)
Hence, 2M will be:
![2\begin{pmatrix}3&5\\ -4&0\end{pmatrix}=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}](https://tex.z-dn.net/?f=2%5Cbegin%7Bpmatrix%7D3%265%5C%5C%20-4%260%5Cend%7Bpmatrix%7D%3D%5Cbegin%7Bpmatrix%7D6%2610%5C%5C%20-8%260%5Cend%7Bpmatrix%7D)
Therefore, the 2nd option is true.
If you add them all together, you'd get 157. Then you divide by 7 and you'd get 31.4
Answer:
3
Step by Step:
Subtract the tip ($6) from the total ($39)
11x=33
Then divide 33 by 11, leaving you with the value of x.
x=3
The lesson was 3 hours long.