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3 years ago

Which mathematical concepts did Euler's legacy include? Check all that apply.

Mathematics

2 answers:

quester [9]3 years ago

7 0

Answer:

a)the notation for the imaginary unit

c) the formalization of a function notation

e) the notation for the base of the natural logarithm

Step-by-step explanation:

it said i was correct :P

jonny [76]3 years ago

5 0

the notation

the formalization of function notation

the notation for the base of natural logarithm

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Plz help!! (I just copied and pasted it)

lora16 [44]

Step-by-step explanation:

3d + 4.5g <= 18.

3 possible combinations are:

0 DVD and 4 Video games,

1 DVD and 3 Video games,

2 DVDs and 2 Video games.

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2 years ago

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Could someone help me rnnn?

GuDViN [60]

Answer:

vertex = (0, -4)

equation of the parabola: $y=3x^2-4$

Step-by-step explanation:

Given:

y-intercept of parabola: -4
parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola: $y=a(x-h)^2+k$

(where (h, k) is the vertex and $a$ is some constant)

Substitute point (0, -4) into the equation:

$\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}$

Substitute point (-2, 8) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}$

Substitute point (1, -1) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}$

Equate to find h:

$\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}$

Substitute found value of h into one of the equations to find a:

$\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}$

Substitute found values of h and a to find k:

$\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}$

Therefore, the equation of the parabola in vertex form is:

$\implies y=3(x-0)^2-4=3x^2-4$

So the vertex of the parabola is (0, -4)

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2 years ago

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6x - 8 ≤ 184 <br> i need answer for test corrections

jekas [21]

I hope this helps.....

Explanation:
I took this in 9th grade so I know how to do this kind of stuff

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2 years ago

Solve this please with steps b^4-3b^3-10b^2

gtnhenbr [62]

Answer:

Step-by-step explanation:

There's no "solving" to be done because its an expression, but im assuming the question wants you to factor.

$b^4-3b^3-10b^2$

First, factor out a b^2

$b^2(b^2-3b-10)$

Factor the trinomial. What two numbers multiply to equal -10 but add to equal -3? They are -5 and +2

$b^2((b-5)(b+2))$

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2 years ago

The book fair a sale where 4 books were $31.36.If you wanted to buy 3 books, how much money would you need

mote1985 [20]

Answer:

$23.52

Step-by-step explanation:

So first you would have to find how much each one would be if you were buying one individual book. For that you would do 31.36/4 to get $7.84. Then since you found that for only 1 book, you would need to multiply that by 3 to get $23.52

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2 years ago

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