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il63 [147K]
3 years ago
9

Write the equation of the line with a slope of 24 and a y-intercept of -5​

Mathematics
1 answer:
zmey [24]3 years ago
8 0

Answer:

y=24x-5

Step-by-step explanation:

General slope intercept form equation of straight line is given as

y=mx+b

where m is slope and b is y-intercept

here m=24 and b=-5

Therefore

y=mx+b=24x-5

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Factor completely<br> n^4 +8n^2 + 15 =
nata0808 [166]

Answer:

The factor form is n^4+8n^2+15 = \quad \left(n^2+3\right)\left(n^2+5\right)

Step-by-step explanation:

When it is required to factor the expression given in the problem, we have to first find a common term or terms, which will be found by either grouping the like terms or the splitting of the terms.

Now the expression that is given here is:

n^4 +8n^2 + 15

Now, here we will take:

u=n^2

Thus we will get:

n^4 +8n^2 + 15\\=u^2+8u+15

Now we will do the middle term split as follows:

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Substituting back u=n^2 , we will have:

\left(u+3\right)\left(u+5\right)\\=\left(n^2+3\right)\left(n^2+5\right)

Hence, the required factor form of the given expression will be:

n^4+8n^2+15 = \quad \left(n^2+3\right)\left(n^2+5\right)

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