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Elena-2011 [213]
3 years ago
15

Which way does the parabola open​

Mathematics
2 answers:
bulgar [2K]3 years ago
7 0
<h2>Answer:</h2>

<u>our parabola open </u><u>downward</u><u> and therefore a is negative</u>

<h2> Explanation:</h2>

As value of a changes from positive to negative or from negative to positive, the direction of opening changes.  For  negative values of a we got negative parabolas that open downward.  As the original formula y = x^2 we see that x^2 will always be positive because when you square a number it always gives positive value. Therefore  the direction for which it will open, depends on  value of a.

damaskus [11]3 years ago
3 0

Answer:

D. Down

Step-by-step explanation:

The given equation is

y=ax^2

This is a parabola whose axis of symmetry is the y-axis.

If a is negative, the parabola opens down.

If a is positive, the parabola opens up.

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Identify the factors of x2 − 4x − 21. (x − 7)(x 3) (x 7)(x − 3) (x 21)(x − 1) (x − 21)(x 1)
Tanzania [10]

The factors of the quadratic expression x² - 4x - 21 is <u>(x - 7)(x + 3)</u>, making the <u>first option</u> the right choice.

A quadratic expression is of the form ax² + bx + c, which can be factorized using the mid-term factorization method, where b is shown as the sum or difference of two such numbers, whose product is equal to the product of a and c.

In the question, we are asked to factorize the quadratic expression, x² - 4x - 21.

In the given expression, a = 1, b = -4, and c = -21.

Thus, ac = -21.

The numbers having a product 21 are:

1*21 = 21,

3*7 = 21.

Since, 3 - 7 = -4 (That is b), we break b into 3 and -7.

Thus, the expression can now be shown as:

x² - 4x - 21

= x² + (3 - 7)x - 21

= x² + 3x - 7x - 21

= x(x + 3) - 7(x + 3) {By taking common}

= (x - 7)(x + 3) {By taking common}.

Thus, the factors of the quadratic expression x² - 4x - 21 is <u>(x - 7)(x + 3)</u>, making the <u>first option</u> the right choice.

Learn more about factorizing a quadratic expression at

brainly.com/question/52959

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5 0
1 year ago
The cable company takes an SRS of 250 of the approximately 15,000 households who subscribe to them. They found that 75 percent o
kati45 [8]

Answer:

Answer; Mean = p = 0.75

             Standard deviation =0.0274  

Step-by-step explanation:

Mean = p = 0.75

Standard deviation = √ [ p ( 1 - p) / n ]

= √ [ 0.75 * ( 1 - 0.75) / 250]

= 0.0274

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3 years ago
Please help me ill give brainliest ty &lt;3
Sati [7]
The other endpoint (x,y)
(X+18)/2 = 16 then x=14
(Y-18)/2 = -16 then y=-14
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3 years ago
there are 1,920 fence pounds used in a 12- kilometer stretch of fence. How many fence posts are used in 1 kilometer of fence?
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Did u get it yet?if not so i can help you
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3 years ago
abby has saved 67% of the money she needs to buy a new camera that cost $156.00 how much more money does she need to buy a new c
worty [1.4K]

Answer:

$51.48

Step-by-step explanation:

Percent left: 100%-67%=33%

33% can also be expressed as the fraction 33/100

Then, 33% of 156 is 156*33/100=51.48

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