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3 years ago

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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a woman is 10 times as old as her daughter. In 8 years she will be 4 times as old as her daughter. How okd is her mother now?

Bond [772]

Answer:

48 yr. old

Step-by-step explanation:

Assume daughter is 4 and mom is 10 times her age, so mom is 40.

10 (woman) * 4 (daughter's age) = 40 yr. old mom

Present day...

40 (yr old mom) + 8 (yrs later) = 48 yr. old mom today

4 (yr old daughter) + 8 (yrs later) = 12 yr. old daughter today

So, if mom is 4 times as her daughter's age today...

48 (yr. old mom) / 12 (yr. old daughter) = 4

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2 years ago

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julia-pushkina [17]

The 38th term in the sequence is -51

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2 years ago

Two Social Security numbers (see Exercise 8.12) match zeros if a digit of one number is zero iff the corresponding digit of the

Roman55 [17]

Answer:

Proved

Step-by-step explanation:

From the given parameters, we have:

$n = 9$ i.e. the length of each security numbers

$r = 2$ i.e. 2 security numbers

Required

In 513 security numbers, 2 must have matching zeros

To do this, we make use of Pigeonhole principle.

First, we calculate the number of all security numbers not having matching zeros.

Each of the 9 digits can be selected in 2 ways.

2 ways implies that each digit is either 0 or not

So, total selection is:

$Total = 2^9$

$Total = 512$

Apply Pigeonhole principle

The principle states that: suppose there are n items in m containers, where $n>m$ , then there is at least one container that contains more than 1 item.