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kolezko [41]
3 years ago
15

What is the sum of X^2-3x+7 and 3x^2+5x-9

Mathematics
1 answer:
Tcecarenko [31]3 years ago
6 0
X^2 - 3x+7 + 3x^2 + 5x-9
4x^2
-3x+7+5x-9
2x+2
4x^2+2x+2
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Pythagorean triples are given by the formulas x2 - y2, 2xy, and x2 + y2. Use the formulas for the Pythagorean triples to prove w
Arte-miy333 [17]
Let k be an integer. Suppose there is a triangle with legs of length 16 and 2k+1. Then by the Pythagorean theorem, the length of the hypotenuse should be

\sqrt{16^2+(2k+1)^2}=\sqrt{4k^2+4k+257}

The formulas for Pythagorean triples say that if the legs are integers, then so must be the hypotenuse, because if x=16 and y=2k+1 are integers, then so are x^2-y^2, 2xy, and x^2+y^2.

However, 4k^2+4k+257 is not a perfect square trinomial, which means for any integer k, the length of the hypotenuse is not an integer, so such a triangle doesn't exist.
4 0
3 years ago
Nancy needs at least 1000 gigabytes of storage to take pictures and videos on her upcoming vacation. She
balandron [24]

Answer:

The answer to this question can be defined as follows:

In option 1, She buys 4 memory cards.

In option 2, The cost of memory is $40  

Step-by-step explanation:

Given:

Available space is = 105 GB

required space = 1000 GB

256 GB memory cost $10.

Find needed memory:

=  1000 GB - 105 GB

= 895 GB

∴ the available memory is 256 GB.

∵ 256 × 4 = 1024  GB

The total memory she have = 1024 + 105 = 1129 GB

And  she needs to buy 4 memory cards.

The cost of the four memory cards is= 4 ×10 =  $40.

7 0
3 years ago
Read 2 more answers
One of the lengths of a leg on a right angled triangle is 15 ft the length of the hypotenuse is 17 ft find the length of the oth
Alla [95]
The length of the other leg should be 8ft
3 0
3 years ago
A desk is on sale for 26% off. The sale price was $481. What was the original price?
OleMash [197]

Step-by-step explanation:

481/26%=1850

crosscheck: 1850×26%=481

so the answer is $1850

6 0
3 years ago
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For the graph of cos(y)=x-4y, what is the range of the slopes of its tangent lines?
andreyandreev [35.5K]

Any tangent line to the curve has a slope given by \dfrac{\mathrm dy}{\mathrm dx}.

\cos y=x-4y\implies-\sin y\,\dfrac{\mathrm dy}{\mathrm dx}=1-4\,\dfrac{\mathrm dy}{\mathrm dx}

\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac1{4-\sin y}

Since |\sin y|\le1, the denominator ranges from 3 to 5, so the range of slopes is \dfrac15\le\dfrac{\mathrm dy}{\mathrm dx}\le\dfrac13.

7 0
3 years ago
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