Answer:
D
Step-by-step explanation:
So you start with $2.65 and a variable y. What we will do is work without the dollar and keep it for the end as it quite disturbs and work our way while keeping the y. So first we have 2.65. Now it rose by y so. The price = 2.65 + y. Then it dropped by 0.15. So 2.65 + y - 0.15. Here you see we have like terms so we reduce and get 2.50 + y. Now it rose by 0.05. So 2.50 + y + 0.05. Again, like terms, reduce. 2.55 + y. There you go with the answer.
Step-by-step explanation:
(x²-1)(x+1)≥0
As it has two multiples,
Therefore,
Either,
x²-1≥0
x²≥0+1
x²≥1
x≤√1
x≤1
Or,
x+1≥0
x≥-1
<h3>
Answer: B. 781.6 feet approximately</h3>
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Work Shown:
The horizontal portion is 400+166 = 566 feet. Label this as 'a', so a = 566. The vertical side is unknown, so b = x. The hypotenuse is c = 965
Use the pythagorean theorem
a^2+b^2 = c^2
566^2+x^2 = 965^2
x^2 = 965^2 - 566^2
x = sqrt( 965^2 - 566^2 )
x = 781.58108984289 which is approximate
x = 781.6 feet when rounding to one decimal place
Answer:
Hope this is helpful to you
Assuming that an exponentiation sign is missing, all you need to know is that rational exponents work like this:
![a^{\frac{b}{c}}=\sqrt[c]{a^b}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bb%7D%7Bc%7D%7D%3D%5Csqrt%5Bc%5D%7Ba%5Eb%7D)
So, you have

And similarly,
![81^{\frac{7}{4}}=\sqrt[4]{25^7}=\sqrt[4]{(3^4)^7}=3^7](https://tex.z-dn.net/?f=81%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D%3D%5Csqrt%5B4%5D%7B25%5E7%7D%3D%5Csqrt%5B4%5D%7B%283%5E4%29%5E7%7D%3D3%5E7)