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3 years ago

Write a quadratic function f whose zeros are -10 and -2

Mathematics

2 answers:

statuscvo [17]3 years ago

7 0

$f(x) = (x - -10)(x - -2)$

We could stop here and have answered the question.

$f(x) = (x+10)(x+2) = x^2 + 12 x + 20$

Answer: $f(x)=x^2+12x + 20$

PtichkaEL [24]3 years ago

3 0

Hiiiiiiiiiiiiiiii mate......

here is your answer......✌✌✌✌

let alpha = -10 and beeta = -2
sum of zeroes= (alpha+beeta)=-10+-2=-12
product of zeroes= alpha.beeta= -10×-2=20
so,the required polynomial is

x^2-(alpha+beeta)X+alpha.beeta
x^2+12x+20

hope it help you...

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Plz help me i am stuck

Minchanka [31]

Given:

The two statements.

To find:

The probability of an impossible event.

The probability of a certain event.

Solution:

Formula for probability is:

$P=\dfrac{\text{Possible favorable outcomes}}{\text{Total number of outcomes}}$

For an impossible event, the possible favorable outcomes is 0. So,

$P=\dfrac{0}{\text{Total number of outcomes}}$

$P=0$

For a certain event (sure event), the possible favorable outcomes is equal to total number of outcomes. So,

$P=\dfrac{\text{Total number of outcomes}}{\text{Total number of outcomes}}$

$P=1$

Therefore, an event that is impossible has probability 0 and an event that is certain has probability 1.

8 0

3 years ago

Need help on this problem

soldier1979 [14.2K]

Hey there!

Let's look at our graph here. It is a 4 x 8 chart, which means there are 32 total squares. 12 of these squares are highlighted in black. This gives us 12/32, which is equal to 3/8. Therefore, we can eliminate answer D as an option.

Now, we are looking for a percent of a fraction. Usually when you draw a chart that represents multiplying fractions, the bars will overlap. We do see 5 gray squares, but if that is all, this chart would not really represent anything. Let's say it goes all the way across the top, giving us 8 gray squares, 3 of them also being black.

This means we have 8/32, or 1/4 as our other fraction. As we said before, 3 of these squares are both black and gray. This is 3/32, so the answer to our problem has to be 1/12.

We have fractions 3/8 and 1/4.

$\frac{3}{8}(\frac{1}{4})=\frac{3}{32}= \frac{1}{12}$

Therefore, our answer is H.

I hope this helps!

3 0

4 years ago

A person invests 10000 dollars in a bank. The bank pays 4.5% interest compounded

Greeley [361]

The person would have to leave the money in the bank for 7.8 years for it to reach 13,500 dollars.

Step-by-step explanation:

Step 1; First we must calculate how much interest is generated for a single year. The annual interest rate is 4.5% i.e. 4.5% of 10,000 dollars which equals 0.045 × 10,000 = 450 dollars a year. As the years pass, more and more will be put into the account due to interest.

Step 2; For there to be 13,500 dollars in the bank account we need to calculate how much money is added due to interest.

The money needed to be added through interest = 13,500 - 10,000 = 3,500 dollars.

So we need to determine how long it will take for the bank to add 3,500 dollars by adding 450 dollars a year.

The number of years to reach 13,500 dollars = $\frac{3,500}{450}$ = 7.777 years. By rounding this value to the nearest tenth, we get 7.8 years.