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3 years ago

Help plz!!!

Mathematics

1 answer:

AleksandrR [38]3 years ago

7 0

Answer:

First graph

Step-by-step explanation:

First off, the graph opens up because a is positive. Second, the parent function of the quadratic graph is $\displaystyle y = x^2,$ and the greater the WHOLE NUMBERS [vertical stretch (a)] get, the slimmer the parabola gets, and the more you increase the DEGREE evenly [anything ending in 0, 2, 4, 6, and\or 8], the more flat, U-shaped the parabola becomes.

I am joyous to assist you anytime.

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Consider the expansion of (5p + 2q)^6. Determine the coefficients for the terms with the powers of p and q shown.

Step2247 [10]

Answer:

Remember, the expansion of $(x+y)^n$ is $(x+y)^n=\sum_{k=0}^n \binom{n}{k}x^{n-k}y^k$ , where $\binom{n}{k}=\frac{n!}{(n-k)!k!}$ .

Then,

$(5p+2q)^6=\sum_{k=0}^6\binom{6}{k}(5p)^{6-k}(2q)^k=\sum_{k=0}^6\binom{6}{k}5^{6-k}2^k p^{6-k}q^k$

Then, the coefficient of the term $p^{6-k}q^k$ is $\binom{6}{k}5^{6-k}2^k$

a) since 6-k=2, then k=4. So the coefficient of $p^2q^4$ is

$\binom{6}{4}5^{6-4}2^4=15*5^2*2^4=15*25*16=6000$

b) since 6-k=5, then k=1. So, the coefficient of $p^5q$ is

$\binom{6}{1}5^{6-1}2^1=6*5^5*2=37500$

c) since 6-k=3, then k=3. So, the coefficient of $p^3q^3$ is

$\binom{6}{3}5^{6-3}2^3=20*5^3*8=20000$

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3 years ago

An isosceles triangle has an angle that measures 90°. Which other angles could be in that isosceles triangle? Choose all that ap

Inga [223]

Answer:

Step-by-step explanation:

If one angle = 90 degrees, then the other 2 added together must also = 90.

There is only 1 answer to this, since the triangle is isosceles..

x + x = 90 Combine

2x = 90 Divide by 2

x = 90/2

x = 45

So both acute angles = 45 degrees.

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3 years ago

How do i do these fractions by 1/2?

Svetlanka [38]

I need to see the directions

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3 years ago

PLEASE HELP ; I need help on this ? I am confused .

zubka84 [21]

256,000-2.56*100,000
Since there are 6 digits in 256,000, it is 2.56*100,000 becuase 100,000 also has 6 digits.
2.56*100,000=2.56*10^5
Since there are 5 zeroes in 100,000, it is 10^5.
256,000=2.56*100,000=2.56*10^5
First box: 100,000
Second box: 5

6 0

3 years ago

Read 2 more answers

Solve using the Elimination method. 6x+2y=28 2x-y=8

amid [387]

6x + 2y = 28 - Answer: y = 14 - 3x

2x - y = 8 - Answer: y = -8 + 2x

I hope that helped you! :)

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4 years ago