Answer:
15/20
Step-by-step explanation:
4 x 5 = 20
so
3 x 5 = 15
so (sorry for the repetition)
= 15/20
Answer:
x = 1.2
y = 6.6
Step-by-step explanation:
1) y= -2x+9
2) 8x-3=y
Substitute y in equation 1 using y in equation 2.
8x - 3 = -2x + 9
+ 3 on both sides
8x = -2x + 12
+ 2x on both sides
10x = 12
x = 1.2
To find y, plug in x
8x - 3 = y
9.6 - 3 = y
6.6 = y
Hope this helps :)
Answer:
The inequality which represents the graph is y ≤ -2x + 1 ⇒ A
Step-by-step explanation:
To solve the question you must know some facts about inequalities
- If the sign of inequality is ≥ or ≤, then it represents graphically by a solid line
- If the sign of inequality is > or <, then it represents graphically by a dashed line
- If the sign of inequality is > or ≥, then the area of the solutions should be over the line
- If the sign of inequality is < or ≤, then the area of the solutions should be below the line
Let us study the graph and find the correct answer
∵ The line represented the inequality is solid
∴ The sign of inequality is ≥ or ≤
→ That means the answer is A or B
∵ The shaded area is the area of the solutions of the inequality
∵ The shaded area is below the line
∴ The sign of inequality must be ≤
→ That means the correct answer is A
∴ The inequality which represents the graph is y ≤ -2x + 1
<em>Denote x2 by y.
</em>
<em> </em>
<em>(x2-3)7=(y-3)7
</em>
<em> </em>
<em>This is a binomial expansion in y, and you want the coefficient of y4 because y4=x8
</em>
<em> </em>
<em>You have 7 terms of (y-3) in (y-3)7. To get the fourth power of y, you need to choose y from four of the terms. The number of ways you can do this is the combinations of 7 things taken 4 at a time. This is:
</em>
<em> </em>
<em>7!/(4!3!)=35</em>
<em />
<em>So, the coefficient of x8 in the given expansion will be 210.</em>
<em>HOPE IT HELPS</em>
<em>THANK YOU </em>
Answer:
Step-by-step explanation:
Similar shapes with scale factor 
have proportional volumes with coefficient 
i.e.
where
Since
then
Hence,
