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3 years ago

A parabola intersects the x-axis at x=3, equals, 3 and x=9.

Mathematics

1 answer:

kakasveta [241]3 years ago

8 0

Answer: x is 6

Step-by-step explanation:

where a and b are x intercepts given to us.

So rewriting in factored form:

y = ( $x-3$ )( $x-9$ )

so now you have to simplify it using the formula $y=$ $ax^{2}$ $+$ $bx-c$

y= $x^{2}$ - $12x$ + $27$

so with this formula $x=\frac{-b}{2a}$ we can find the x coordinate

$x=\frac{-(-12)}{2(1)}$

and the answer would be 6

You might be interested in

One way to divide decimal numbers is to use an equivalent expression.

Umnica [9.8K]

Answer:

Step-by-step explanation:

To determine how much a decimal was multiplied, you need to find how many places the decimal moved.

In this case we can see the decimal moved once. How many times the decimal moved can be represented by the zeros in the number. So 10 = 1

100 = 2 1,000 = 3 and it keeps going.

So since the decimal moved 1 time, the answer to question one is 10

Now question 2.

Both 8.4 ÷ 2.1 and 84 ÷ 21 will give the exact same answer. It is just easier to solve. So solve which one is easier for you. I did 84 ÷ 21.

84 ÷ 21 = 4

We can verify our answer by multiplying the the divisor by the quotient

21 * 4 = 84

So 4 is the answer to question 2

6 0

3 years ago

let X represent the amount of time till the next student will arriv ein the library partking lot at the university. If we know t

AlekseyPX

Answer:

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Mean of 4 minutes

This means that $m = 4, \mu = \frac{1}{4} = 0.25$

Find the probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot:

This is:

$P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2)$

In which

$P(X \leq 132) = 1 - e^{-0.25*132} = 1$

$P(X \leq 2) = 1 - e^{-0.25*2} = 0.393469$

$P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2) = 1 - 0.393469 = 0.606531$

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

4 0

3 years ago

An apple orchard sells apples in bags of 10.the orchard sold a total of 2,430 apples one day.how many bags of apples waa

Kruka [31]

243 bags of apples were sold in one day

6 0

3 years ago

Solve for x: 3(x + 1) = −2(x − 1) − 4.<br><br> 1<br> −1<br> −5<br> −25

LekaFEV [45]

3x + 3 = -2x + 2 - 4
3x + 3 = -2x - 2
Add 2 to each side
3x + 5 = -2x
Subtract -3x from both sides
5 = -5x
Divide each side by 5
1 = -x
Since you can leave x negative you reverse it with 1 and your answer will be >>> x = -1

6 0

3 years ago

Read 2 more answers

What is the probability that out of 175 chicks hatched on Peeper

Ivenika [448]

Answer:

40% or 0.4

Step-by-step explanation:

70 ÷ 175 = 0.4

8 0

3 years ago