The answer to the equation is the second option.
Answer:
3^2X5
Step-by-step explanation:
Students learn that the prime factorization of a number is the given number written as the product of its prime factors. For example, to find the prime factorization of 45, use a factor tree to find that 45 is 5 x 9, and 9 is 3 x 3. So the prime factorization of 45 is 5 x 3 x 3, or 5 x 3^2.
<h3>
Answer: 27</h3>
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Work Shown:
x = smaller integer
x+1 = larger integer
x and x+1 are consecutive integers since the larger follows right after the smaller
5*(smaller) - 3*(larger) = 51
5*(x) - 3*(x+1) = 51
5x - 3x - 3 = 51
2x - 3 = 51
2x = 51+3
2x = 54
x = 54/2
x = 27
x+1 = 27+1 = 28
The two consecutive integers are 27 and 28.
Answer:
B. 8
Step-by-step explanation:
The question lacks the required diagram. Find the diagram in the attachment.
Before we can find d21, d22 and d23, we need to get the matrix D first as shown in the attached solution.
On comparison as shown in the attachment, d21 = 11, d22 = -10 and d23 = 7
Note that d21 refers to element in the second row and first column of the matrix
d22 is the element in the second row and second column of the matrix
d23 is the element in the second row and third column of the matrix
d21+d22+d23 = 11-10+7
d21+d22+d23 = 8
The second option is correct.
Answer:
A
Step-by-step explanation:
To find (f ￮ g)(x) substitute x = g(x) into f(x), that is
f(g(x))
= f(2x - 1)
= 3(2x - 1) + 14
= 6x - 3 + 14
= 6x + 11 → A
