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3 years ago

−4x+3y=−2 what is X and Y

Mathematics

1 answer:

Taya2010 [7]3 years ago

3 0

x-intercept(s):

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Find the y-intercepts.

y-intercept(s):

(

)

List the intersections.

x-intercept(s):

(

−

)

y-intercept(s):

(

)

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(05.02 LC)

Arte-miy333 [17]

<em>Your Answer: </em>A.) (2 , 5) <u>I also provided the steps.</u>

Hope this helps y'all :)

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3 years ago

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Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks

Iteru [2.4K]

Let

$P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}$

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

$P(1):\ 1 = \dfrac{1\cdot 2}{2}=1$

So, the base case is ok. Now, we need to assume $P(n)$ and prove $P(n+1)$ .

$P(n+1)$ states that

$P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}$

Since we're assuming $P(n)$ , we can substitute the sum of the first n terms with their expression:

$\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}$

Which terminates the proof, since we showed that

$P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}$

as required

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3 years ago

Divisibility Rules, use your divisibility rules to explain if the number is divisible or not.

morpeh [17]

Yes, the answer is 62.

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3 years ago

Write an equivalent expression to -3(6x^2-10x+9)+8x^2(3x+4)

pychu [463]

Answer:

Step-by-step explanation: hope this help :)

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ASAP PLS

Wittaler [7]

Assuming Earth's gravity, the formula for the flight of the particle is:

s(t) = -16t^2 + vt + s = -16t^2 + 144t + 160.

This has a maximum when t = -b/(2a) = -144/[2(-16)] = -144/(-32) = 9/2.

Therefore, the maximum height is s(9/2) = -16(9/2)^2 + 144(9/2) + 160 = 484 feet.

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3 years ago

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