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VikaD [51]
3 years ago
10

Find the axis of symmetry for each parabola. a) y = -16x^2 + 64x - 25

Mathematics
2 answers:
lisabon 2012 [21]3 years ago
7 0
The axis of symmetry is x=2
Lana71 [14]3 years ago
4 0
Axis of symmetry is x = 2
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Pls help I’m begging u
OlgaM077 [116]

You're answer is the third one, you gotta divide the money by the hours worked and then compare.

3 0
3 years ago
Hi guys actually I have forgotten the steps do it yesterday my online school opened so I don't how to solve it can you help me p
cestrela7 [59]

Answer:

  (i)  (x +4)^3 = x^3 +12x^2 +48x +64

  (ii)  (2m +1)^3 = 8m^3 +12m^2 +6m +1

  (iii)  (a -2b)^3 = a^3 -6a^2b +12ab^2 -8b^3

Step-by-step explanation:

Powers of a binomial have a pattern. The coefficients of the terms of the expanded product are the numbers in the corresponding row of Pascal's Triangle. Here, you want the 3rd power, so the coefficients of interest are ...

  1, 3, 3, 1

The pattern is ...

  (a +b)^2 = a^2 +2ab +b^2

  (a +b)^3 = a^3 +3a^2b +3ab^2 +b^3

The total of powers of the variable is equal to the exponent of the binomial. The powers of the first variable decrease to 0 while the powers of the second variable increase from zero.

When 'a' or 'b' is something with a coefficient, that whole term is raised to the appropriate power.

__

i) (x+4)^3 = x^3 +3·4x^2 +3·4^2x +4^3

  (x +4)^3 = x^3 +12x^2 +48x +64

__

ii) (2m +1)^3 = (2m)^3 +3·1·(2m)^2 +3·1^2·(2m) +1^3

  (2m +1)^3 = 8m^3 +12m^2 +6m +1

__

iii) (a -2b)^3 = a^3 +3·a^2·(-2b) +3·a·(-2b)^2 +(-2b)^3

  (a -2b)^3 = a^3 -6a^2b +12ab^2 -8b^3

_____

<em>Additional comment on Pascal's triangle</em>

The numbers in each row are the sums of the two numbers immediately above. For binomial expansion, you're only interested in the contents of a row. The "patterns" shown in the attachment are an extra added attraction, not particularly relevant to binomial expansion.

7 0
3 years ago
What are the values of rand s?<br><br>​
Vitek1552 [10]

Answer:

s=15

r=10

Step-by-step explanation:

What we know)

The measure of a line is 180º

If two parrel lines are cut by a transversal, the corresponding angles are congruent (corresponding angles postulate)

What we can figure out)

The angle measuring 3r+3s and 6r+3s are on the same line, so

3r+3s+6r+3s=180

3r+3s and 6r+s are corresponding, so

3r+3s=6r+s

Solve)

Now, we just need to solve the equations.

3r+3s+6r+3s=180 can be condensed into 9r+6s=180 by combining like terms. Then, you can divide by 3 to get 3r+2s=60

3r+3s=6r+s can be turned into 2s=3r by subtracting 3r and s.

So we have 3r+2s=60 and 2s=3r

We can substitute 2s for 3r

2s+2s=60

4s=60

s=15

Then, we can plug s=15 into the equation

2(15)=3r

30=3r

r=10

7 0
2 years ago
Somebody help I’m stuck :(
ANEK [815]

Answer:

I got x1 =0 x2=220

Step-by-step explanation:

y=- 00.1x (x-220)

-0.01x (x-220)=0

- 1/100 x(x-220)=0

x (x-220)=0

x=0

x-220=0

Answer x=0 and x=220

3 0
2 years ago
Mike is traveling to the beach 30 miles away from his house. On Mike's
Andre45 [30]

Answer:

A. 1 inch = 6 miles

Step-by-step explanation: We need to divide 30 by 5 to see how much 1 inch equals. 30÷5=6. We now known 1 inch = 6 miles.

7 0
3 years ago
Read 2 more answers
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