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elena55 [62]
3 years ago
6

What is the prime factorization of 1,575 (with work)

Mathematics
2 answers:
zysi [14]3 years ago
6 0
1575 -> 315, 5
315 -> 63, 5
63 -> 7, 9
9 -> 3, 3
3+3+5+5+7
3^{2}+5^{2}+7
Rufina [12.5K]3 years ago
3 0
                                                     1,575
                                                    /         \
                                                  3            525
                                                             /           \
                                                           5              35
                                                                       /          \ 
                                                                      7           5














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Answer:

<em>48</em>

Step-by-step explanation:

60% of 80 is the same as 60% times 80.

60% of 80 =

= 60% * 80

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Could someone help me rnnn?
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Answer:

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Step-by-step explanation:

Given:

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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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