1) <span>(x – 2)(2x +3) = 2x²+3x-4x -6
the answer is </span><span>2x² – x – 6
2) </span><span>(3x + 2)(4x – 3) =12x²-9x +8x -6
the answer is </span><span>12x2 – x – 6
3) </span><span>(4p – 2)(p – 4) = 4p²-16p-2p+8
the answer is </span><span>4p2 – 18p + 8
4) since </span><span>A = 2r2 + 2rh
so </span>A = 2(3x – 2)² + 2(3x – 2)(<span>x + 3)
= </span>(3x – 2) ( 2(3x – 2) + 2 (x + 3))
A =(3x – 2) ( 10x+2)<span>
</span>
The answer should be 500.
Answer:
Step-by-step explanation:
divide 12 or 15
Given:
The graph of a proportional relationship.
To find:
The constant of proportionality, the value of y when x is 24 and the value of x when y is 108.
Solution:
If y is directly proportional to x, then
...(i)
Where, k is the constant of proportionality.
The graph of proportional relationship passes through the point (5,15).
Substituting x=5 and y=15 in (i), we get
Therefore, the constant of proportionality is 3.
Substituting k=3 in (i) to get the equation of the proportional relationship.
...(ii)
Substituting x=24 in (ii), we get
Therefore, the value of y is 72 when x is 24.
Substituting y=108 in (ii), we get
Therefore, the value of x is 36 when y is 108.
Answer:
(A) The <em>y</em>-intercept of the line is 1.82.
(B) The number of games that could be won after 13 months of practice is 26.
Step-by-step explanation:
The data from the provided graph is:
X Y
0 1
1 3
2 5
3 9
4 10
5 12
6 13
7 14
8 17
9 18
10 20
Here,
X : Number of Months of Practice
Y : Number of Games Won
(A)
Compute the <em>y</em>-intercept of the line as follows:
The <em>y</em>-intercept of the line is 1.82.
The <em>y</em>-intercept is the average value of the dependent variable, here the number of games won, when the value of the independent variable, here number of months of practice, is 0.
So, a <em>y</em>-intercept of 1.82 indicates that on average 1.82 can be won if the number of months of practice is 0.
(B)
Compute the slope as follows:
The equation for the line of best fit in slope-intercept form is:
Predict the number of games that could be won after 13 months of practice as follows:
Thus, the number of games that could be won after 13 months of practice is 26.