what is the equation of a parabola whose vertex is (-6,0) and whose graph is half as tall as y=x^2 and opens upside down?

Answers

Answer 1
Answer: The\ vertex\ form:y=a(x-h)^2+k\n\nvertex\ (h;\ k)\to(-6;\ 0)\n\nthen:y=a[x-(-6)]^2+0=a(x+6)^2\n\ngraph\ is\ half\ as\ tall\ as\ y=x^2\ and\ o\ pens\ upside\ down\ then\ a=-2\n\nAnswer:y=-2(x+6)^2


If I understood correctly "graph is half as tall as y=x^2".


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Determine whether each statement is true or false.Statement
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The expressions b÷4 and 14b are equivalent.
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Answers

False
False
False
False

Answer:

All of them are false.

Step-by-step explanation:

Subtract 2 hours, 20 minutes from 4 hours, 10 minutes.2 hours, 10 minutes
1 hour, 50 minutes
1 hour, 30 minutes
1 hour, 10 minutes

Answers

Hello,

you may also do it like this (see picture)
==============================

Final answer:

To subtract 2 hours, 20 minutes from 4 hours, 10 minutes, subtract the hours and minutes separately. The answer is 1 hour, 50 minutes.

Explanation:

To subtract 2 hours, 20 minutes from 4 hours, 10 minutes, you need to subtract the hours and the minutes separately.

  1. Start by subtracting the hours: 4 hours - 2 hours = 2 hours.
  2. Then subtract the minutes: 10 minutes - 20 minutes = -10 minutes.
  3. Since we have a negative number for the minutes, we need to borrow 1 hour from the hours, which gives us: 2 hours - 1 hour = 1 hour.
  4. Finally, add the remaining minutes: 60 minutes - 10 minutes = 50 minutes.

Therefore, the answer is 1 hour, 50 minutes.

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The range of which function is (2,infinity)?y = 2x?
y = 2(5x)?
y = 5x +2?
y = 5x + 2?

Answers

For a function: y = 5^x
range is ( 0 , + ∞ )
And we have: y = 5^x + 2 , which is translated 2 units up.
So the range is ( 2, + ∞ ) or ( 2, infinity ).
Answer:
D ) y = 5^x + 2

The exponential function that has range of (2, infinity) is given by:

y = 5^x + 2

What is an exponential function?

It is modeled by:

y = ab^x + c

In which:

  • a is the initial value.
  • b is the rate of change.
  • The range is (c, infinity).

Hence, the exponential function that has range of (2, infinity) is given by:

y = 5^x + 2

More can be learned about exponential functions at brainly.com/question/25537936

Simplify the expression (2x − 9)(x + 6).

Answers

( 2x - 9 ) ( x + 6 )

( 2x ) ( x ) + ( 2x ) ( 6 ) + ( - 9 ) ( x ) + ( - 9 ) ( 6 )

2x² + 12x - 9x - 54

2x² + 3x - 54.
(2x-9)•(x+6)

2x•x+2x•6-9•x-9•6

2x²+12x-9x-54
2x²+(12-9)•x -54
2x²+3x-54

Pllsss I needddd helpp

Answers

I can’t see, make it clear

PLEASE HELP !!!!!!!!!!!!!!Find different pairs of numbers from the list to complete these equations:



24, -12 ,-3 ,-4, -48, -6, 2 ,-8





____ x ____ = -96 ____ ÷ ____ = -96

Answers

A possible pair of numbers to complete the second equation is (-8) and 12.

To find different pairs of numbers from the list to complete the equations:

____ x ____ = -96

We can start by listing the factors of -96, which are: ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±32, ±48, ±96.

Since the product of two negative numbers is positive, we need to find two numbers with opposite signs to get a product of -96. The factors of -96 that have opposite signs are: ±1, ±2, ±3, ±4, ±6, ±8, ±12, and ±24.

We can then try different combinations of these factors until we find a pair of numbers that multiply to -96. One such pair is (-8) and 12:

(-8) x 12 = -96

So, one possible pair of numbers to complete the first equation is (-8) and 12.

Next, we need to find different pairs of numbers from the list to complete the equation:

____ ÷ ____ = -96

We can start by dividing -96 by each of the given numbers in the list to see if we get an integer result:

-96 ÷ 24 = -4

-96 ÷ (-12) = 8

-96 ÷ (-3) = 32

-96 ÷ (-4) = 24

-96 ÷ (-48) = 2

-96 ÷ (-6) = 16

-96 ÷ 2 = -48

-96 ÷ (-8) = 12

We can see that the only pair of numbers that gives a quotient of -96 is (-8) and 12:

-96 ÷ (-8) = 12

Therefore, a possible pair of numbers to complete the second equation is (-8) and 12.

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