Answer:
y = 0.375x
Step-by-step explanation:
Let there are two variables, one independent variable x and another dependent variable y which are in proportionality relation.
So, y ∝ x
⇒ y = kx ........... (1) {Where k is the proportionality constant}
Let us assume that the given values of 4 and 1.50 are values of x and y respectively.
Hence, from equation (1) we get, 1.5 = 4k
⇒ k = 0.375
So, the proportionality equation is y = 0.375x (Answer)
Answer:
D
Step-by-step explanation:
The degree of a polynomial is determined by the largest exponent of a term within the polynomial.
Given
7x³ + 4x - 5 + 8
The term with the largest exponent is 8 with exponent 5
Thus the polynomial is of degree 5 → D
Mean: add all the numbers, then dived the sum by hwo many numbers there are.
72.3 + 74.5 + 81.1 + 72.3 + 75.6 + 79 = 754.8
754.8 ÷ 6 = 75.8
Mean = 75.8°
Median: Put all the number in order from lowest to highest. The middle number is the median. If there are two numbers in the middle, add them then divide the sum by 2.
72.3, 72.3, 74.5, 75.6, 79, 81.1
74.5 + 75.6 = 150.1
150.1 ÷ 2 = 75.05 ~ 75
Median = 75°
Answer:
<em>35 words per minute. </em>
Step-by-step explanation:
To find the answer you have to divide <em>Minutes</em> by <em>Words Typed</em>.
105 ÷ 3 = 35.
175 ÷ 5 = 35.
315 ÷ 9 = 35.
<em>Therefore, our answer is 35.</em>
ANSWER
The correct answer is 
.
<u>EXPLANATION</u>
We were given the matrix equation;
![\left[\begin{array}{cc}n-1&6\\-19&m+3\end{array}\right] +\left[\begin{array}{cc}-1&0\\16&-8\end{array}\right] =\left[\begin{array}{cc}10&6\\-3&40\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dn-1%266%5C%5C-19%26m%2B3%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%260%5C%5C16%26-8%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D10%266%5C%5C-3%2640%5Cend%7Barray%7D%5Cright%5D)
.
We must first simplify the Left Hand Side of the equation by adding corresponding entries.
![\left[\begin{array}{cc}n-1+-1&6+0\\-19+16&m+3-8\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dn-1%2B-1%266%2B0%5C%5C-19%2B16%26m%2B3-8%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D10%266%5C%5C-3%2640%5Cend%7Barray%7D%5Cright%5D)
.
That is;
![\left[\begin{array}{cc}n-2&6\\-3&m-5\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dn-2%266%5C%5C-3%26m-5%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D10%266%5C%5C-3%2640%5Cend%7Barray%7D%5Cright%5D)
.
Since the two matrices are equal, their corresponding entries are also equal. we equate corresponding entries and solve for m and n.
This implies that;
We got this equation from row one-column one entry of both matrices.
Also, the row three-column three entries of both matrices will give us the equation;
Hence the correct answer is .
The correct option is option 2
