<h3>
Answer: UF = 11</h3>
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Explanation:
In EFU, we see that EU are the first and last letters. In VWU, we see that VU are the first and last letters. This order is important to be able to pair EU with VU
So EU/VU is one ratio
The other ratio is UF and UW, which are the last two letters of EFU and VWU respectively. So the other ratio is UF/UW
Set the ratios equal to each other and solve for x
EU/VU = UF/UW
7/35 = x/55
7*55 = 35*x ... cross multiply
385 = 35x
35x = 385
x = 385/35 .... divide both sides by 35
x = 11
UF = 11
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Or you could note how UV = 35 is exactly 5 times larger compared to EU = 7
That must mean WU = 55 must also be 5 times larger compared to UF = x
So,
WU = 5*UF
55 = 5x
5x = 55
x = 55/5
x = 11
UF = 11
This is similar to the previous section because UV/EU = 35/7 = 5 is the scale factor.
Rewrite the parabola in standard form and use this formula to find the vertex (h,k).
= (2,-1)
Answer:
Step-by-step explanation:
Depends on what you mean by multiplying by - 1. I assume you are not going to multiply the y or f(x) term by - 1.
If that is so, take an example. Suppose you have a graph that is y=x^2
That's a parabola that opens upwards and it has a line going through its focus which is a point on the +y axis.
When you multiply the right hand side by - 1, the graph you get will be y = - x^2.
That opens downward and the focus is on the - y axis.
That means that the effect of the graph is that it flips over the x axis, which I think is the third answer.
The equation for the direct variation is y= kx (where k is contant of variation.)
This equation represent that if x will increase then y will also increase because it's k times x.
Where the equation for indirect variation is 
By this equation if x will increase then y will decrease and vice versa.
The given data is :
x: 2 4 8 12
y: 4 2 1 2/3
Notice as x is increasing then y is decreasing. Like x has increased from 2 to 4 then y is decresing from 4 to 2 and so on.
So, the given data represent an indirect variation.
Answer:
0.350
Step-by-step explanation:
Confidence interval = point estimate ± margin of error
Point estimate = Confidence interval - margin of error
To get the margin of error, we will take the average of the difference of the interval given. Given the confidence interval 0.325<p<0.375
Margin of error = 0.375-0.325/2
Margin of error = 0.050/2
Margin of error = 0.025
Using the interval of 0.375
Point estimate = 0.375 - 0.025
Point estimate = 0.350