Thanks for posting your question here. The answer to the above problem is x = <span>48.125. Below is the solution:
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x+x/7+1/11(x+x/7)=60
x = x/1 = x • 7/7
x <span>• 7 + x/ 7 = 8x/7 - 60 = 0
</span>x + x/7 + 1/11 <span>• 8x/7 - 60 = 0
</span>8x <span>• 11 + 8x/ 77 = 96x/ 77
</span>96x - 4620 = 12 <span>• (8x-385)
</span>8x - 385 = 0
x = 48.125
To get the points at which the two boats meet we need to find the equations that model their movement:
Boat A:
vertex form of the equation is given by:
f(x)=a(x-h)^2+k
where:
(h,k) is the vertex, thus plugging our values we shall have:
f(x)=a(x-0)^2+5
f(x)=ax^2+5
when x=-10, y=0 thus
0=100a+5
a=-1/20
thus the equation is:
f(x)=-1/20x^2+5
Boat B
slope=(4-0)/(10+10)=4/20=1/5
thus the equation is:
1/5(x-10)=y-4
y=1/5x+2
thus the points where they met will be at:
1/5x+2=-1/20x^2+5
solving for x we get:
x=-10 or x=6
when x=-10, y=0
when x=6, y=3.2
Answer is (6,3.2)
Answer: 1) Value is placed on top of the X =90
2) Value is placed on the bottom of the X =21
3) Factored form will be (3x+5)(3x+2)
Step-by-step explanation:
Since we have given that
As we know the quadratic form :
1) Value is placed on top of the X is given by
2) Value is placed on the bottom of the X is given by
3) Factorised form:
We will use "Split the middle term":
Hence, Factored form will be
(3x+5)(3x+2)
The first thing you have to do is to divide the personal income by the percen it takes up
<span>2,176.10/47=46.3
that means that 46.3 is 1% of the whole, so if we multiply it by 100 you will get the whole
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46.3*100=4630
so the answer is
4,<span>630</span>
