<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.
The zero product property tells us that if the product of two or more factors is zero, then each one of these factors CAN be zero.
For more context let's look at the first equation in the problem that we can apply this to:
Through zero property we know that the factor
can be equal to zero as well as
. This is because, even if only one of them is zero, the product will immediately be zero.
The zero product property is best applied to
factorable quadratic equations in this case.
Another factorable equation would be
since we can factor out
and end up with
. Now we'll end up with two factors,
and
, which we can apply the zero product property to.
The rest of the options are not factorable thus the zero product property won't apply to them.
These are so easy, you won't believe it !
A negative exponent only means
"Put all of this in the denominator, and make the exponent positive."
So (any number)^negative power =
1 / (the same number)^(the same power but not negative) .
The first few problems on that sheet:
1). 5^-3 = 1 / 5^3
2). 6^-10 = 1 / 6^10
3). (-2)^-5 = 1 / (-2)^5
Got it ? You can do the rest of them now in about 2 minutes.
<h2>$320,000 is what the company produces with 8000 units.-------------------------------------------------------</h2><h2>------------------------------------------------------------------------</h2><h2>------------------------------------------------------------------------</h2><h2>------------------------------------------------------------------------</h2><h2>------------------------------------------------------------------------</h2><h2 />
