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Sidana [21]
3 years ago
11

Find the equation of a polynomial with only 2 equations that are tangent to the polynomial

Mathematics
1 answer:
lys-0071 [83]3 years ago
6 0
Polynomials are classified according to their number of terms. 4x 3<span> +3y + 3x </span>2<span> has three terms, -12zy has 1 term, and 15 - x </span>2<span> has two terms. As already mentioned, a polynomial with 1 term is a </span>monomial<span>. A polynomial with two terms is a </span>binomial<span>, and a polynomial with three terms is a </span>trinomial<span>.</span>
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Let u=ln x and v = ln y. Write ln y^7/x^5 in terms of u and v.
-BARSIC- [3]

\bf \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad a^{log_a x}=x\qquad \leftarrow \textit{we'll use this one} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ u=\ln(x)\implies u=\log_e(x)\implies e^u=e^{\log_e(x)}\implies \boxed{e^u=x} \\\\[-0.35em] ~\dotfill\\\\ v=\ln(y)\implies v=\log_e(y)\implies e^v=e^{\log_e(y)}\implies \boxed{e^v=y} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{y^7}{x^5}\implies \cfrac{(e^v)^7}{(e^u)^5}\implies \cfrac{e^{7v}}{e^{5u}}\implies e^{7v}\cdot e^{-5u}\implies e^{7v-5u}

6 0
3 years ago
Read 2 more answers
What is the solution for −5x = 25?
-Dominant- [34]

Answer:

-5

Step-by-step explanation:

-5x=25

x=25/-5

x=-5

3 0
3 years ago
Read 2 more answers
How many liters of water containing 7 grams of salt per liter must be combined with x liters of water which contains y grams [y
iVinArrow [24]

Answer:

\frac{(2-y)x}{5}\text{ litres}

Step-by-step explanation:

Let l litre of 7 grams of salt per litre is combined with x litres of water which contains y grams of salt per litre to yield a solution with 2 grams of salt per litre.

Thus,

Salt in l litre + salt in x litre = salt in resultant mixture

7l + xy = 2(l +x)

7l + xy = 2l + 2x

7l - 2l = 2x - xy

5l = x(2-y)

\implies l =\frac{x(2-y)}{5}

Hence, \frac{x(2-y)}{5} litres of 7 gram of salt per litre is mixed.

5 0
3 years ago
Judy’s brother Sam has a collection of 96 comic books what are the 10 where is Sam could divide his comic books into equal group
sweet-ann [11.9K]

We have been given that Judy’s brother Sam has a collection of 96 comic books. We have been asked to find the 10 ways Sam could divide his comic books into equal groups.

This can be done as follows:

96 can be written as 2\times 48=48\times 2=96. Thus, we can either have 2 groups of 48 comics or 48 groups of 2 comics. As we can see we have 2 ways to divide the comic books in equal groups.

Likewise, 96 can also be written as 3\times 32=32\times 3=96. Here, we can similarly see that we can either have 3 groups of 32 comics or 32 groups of 3 comics. As we can again see we have 2 more ways to divide the comic books in equal groups, taking the total number of ways to 4.

Continuing in this manner we will see that we can have 4 groups of 24 or 24 groups of 4, 6 groups of 16 or 16 groups of 6 and lastly 12 groups of 8 or 8 groups of 12 comic books, thus taking the count to a <u>total of 10 ways</u> in which Sam can divide his comic books into equal groups.

Our question has been answered.

5 0
3 years ago
The length of a rectangle is 3 times twice the width. The perimeter is 36. What are the side lengths?
Svetllana [295]

Answer & Explanation:

For this question, you need to figure out the length and the width because the area is directly related to them (A = l*w).

What we do know is that the perimeter is 36 inches. Since the perimeter is equal to P = 2l + 2w, we can say:

P = 36 = 2(3 + 2w) + 2(w), where the length l is 3 + 2w

Solve for w first, then solve for l. Use these values to find the area.

Pls, choose me as brainliest!

8 0
2 years ago
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