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OLga [1]
3 years ago
9

What polynomial when divided by 9y to the 3rd power yields 8y to the 2nd power-2y+4 as a quotient?

Mathematics
1 answer:
ladessa [460]3 years ago
5 0
 9y(8y² - 2y + 4)
9y(8y²) - 9y(2y) + 9y(4)
72y³ - 18y² + 36y
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For what values of x does the binomial 2x−1 take on a positive value?
Mashutka [201]
1). 2x-1>0
2x>1
x>½

2) 21-3y<0
-3y<-21
y>7

3) 5-3c>80
-3c>75
c<-25
3 0
3 years ago
Sylvia, John, and Peter invested their savings in a bank. The ratio of the investment of Sylvia's to John's is 1: 3 and that of
Nastasia [14]

Answer:

4 : 12 : 15

Step-by-step explanation:

S : J = 1 : 3

J : P= 4 : 5

Using John's ratio to find a common ratio for all

S : J

(1 : 3)4 = 4 : 12

J : P

(4 : 5)3 = 12 : 15

Therefore our ratio is

S : J : P

4 : 12 : 15

3 0
2 years ago
HELP WITH 4 QUESTIONS!!!!
m_a_m_a [10]

When dilation is about the origin, as it is here in every case, the image point coordinates are the original (pre-image) coordinates multiplied by the scale factor.

1. Multiply every coordinate value by 5:

... W' = (-5, 10), X' = (-15, -5), Y' = (25, -5), Z' = (15, 10)

2. Multiply every coordinate value by 1/3:

... A' = (-2, 5), B' = (0, 5/3), C' = (1, 10/3)

3. A' = (2, 8), B' = (6, 2), C' = (2, 2)

4. The image coordinates are 5 times the original coordinates, so ...

... the scale factor of the dilation is 5.

5 0
3 years ago
Please help ASAP brainliest.
lisov135 [29]

Answer:

\left[\begin{array}{cc}2&8\\5&1\end{array}\right]

Step-by-step explanation:

The <em>transpose of a matrix </em>M^T is one where you swap the column and row index for every entry of some original matrix M. Let's go through our first matrix row by row and swap the indices to construct this new matrix. Note that entries with the same index for row and column will stay fixed. Here I'll use the notation p_{i,j} and p^T_{i,j} to refer to the entry in the i-th row and the j-th column of the matrices P and P^T respectively:

p_{1,1}=p^T_{1,1}=2\\p_{1,2}=p^T_{2,1}=5\\p_{2,1}=p^T_{1,2}=8\\p_{2,2}=p^T_{2,2}=1\\

Constructing the matrix P^T from those entries gives us

P^T=\left[\begin{array}{cc}2&8\\5&1\end{array}\right]

which is option a. from the list.

Another interesting quality of the transpose is that we can geometrically represent it as a reflection over the line traced out by all of the entries where the row and column index are equal. In this example, reflecting over the line traced from 2 to 1 gives us our transpose. For another example of this, see the attached image!

7 0
3 years ago
In AABC, m A= 60°, m_C = 30°, and AB = 6 inches. What is the length of side BC?
nlexa [21]

Answer:

answer is (C)

Step-by-step explanation:

this is a right angle triangle

so tan 60 degree = bc/6

√3. = bc/6

√3×6= bc

10.39 inches

8 0
2 years ago
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