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2 years ago

What is the equation of the function represented by this graph?

Mathematics

1 answer:

gayaneshka [121]2 years ago

6 0

Answer:

$\displaystyle g(x) = -(x + 2)(x - 4)$

Step-by-step explanation:

First, look at the graph to determine whether it opens down or up, which in this case is down, so you insert a negative in front of the expression. Next, locate your x-intercepts [zeros (where the graph insects the x-axis)]. You will see that the graph intersects $\displaystyle [-2, 0]$ and $\displaystyle [4, 0],$ so what you do is insert the zeros' OPPOCITES into the equation because according to the vertex equation, $\displaystyle y = A[x - h]^2 + k,$ that negative in front of $\displaystyle h$ gives you the OPPOCITE outcome, so be careful.

I am joyous to assist you at any time.

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If an image of a triangle is congruent to the pre-image, what is the scale factor of the dilation?

r-ruslan [8.4K]

The scale factor of the dilation is 1 because the image and pre-image share the SAME everything (lengths, area, etc.). So if you multiply one of the image’s length by any number other than one, the pre-image will change.

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2 years ago

The random variable X is exponentially distributed, where X represents the waiting time to be seated at a restaurant during the

erastova [34]

Answer:

The probability that the wait time is greater than 14 minutes is 0.4786.

Step-by-step explanation:

The random variable X is defined as the waiting time to be seated at a restaurant during the evening.

The average waiting time is, β = 19 minutes.

The random variable X follows an Exponential distribution with parameter $\lambda=\frac{1}{\beta}=\frac{1}{19}$ .

The probability distribution function of X is:

$f(x)=\lambda e^{-\lambda x};\ x=0,1,2,3...$

Compute the value of the event (X > 14) as follows:

$P(X>14)=\int\limits^{\infty}_{14} {\lambda e^{-\lambda x}} \, dx=\lambda \int\limits^{\infty}_{14} {e^{-\lambda x}} \, dx\\=\lambda |\frac{e^{-\lambda x}}{-\lambda}|^{\infty}_{14}=e^{-\frac{1}{19} \times14}-0\\=0.4786$

Thus, the probability that the wait time is greater than 14 minutes is 0.4786.

7 0

2 years ago

What is the sum? StartFraction 3 y Over y squared + 7 y + 10 EndFraction + StartFraction 2 Over y + 2 EndFraction

katovenus [111]

Answer:

$\dfrac{5}{y+5}$

Step-by-step explanation:

Here, we have to find the sum of 2 fractions:

1st fraction: $\dfrac{3y}{y^{2}+7y+10}$

2nd fraction: $\dfrac{2}{y+2}$

Considering the denominator of 1st fraction:

$y^{2}+7y+10$

Using factorization method:

$7y$ can be written as $(2y + 5y)$ .

$\Rightarrow y^{2}+2y+5y+10$

Taking 5 common from $5y+10$ and y common from $y^{2}+2y$ : $\Rightarrow y(y+2)+5(y+2)$

Now taking $(y+2)$ common:

$\Rightarrow (y+5)(y+2)$

$\dfrac{3y}{y^{2}+7y+10}$ can be written as $\dfrac{3y}{(y+5)(y+2)}$

Now, calculating the sum:

$\dfrac{2y}{(y+5)(y+2)} + \dfrac{2}{y+2}$

Taking LCM and solving:

$\Rightarrow \dfrac{3y+2(y+5)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5y+10}{(y+5)(y+2)}\\\Rightarrow \dfrac{5(y+2)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5}{(y+5)}$

Hence, answer is $\dfrac{5}{y+5}$ .

4 0

3 years ago

I need help with number 14

strojnjashka [21]

The ionic compound produced would be Aluminum Oxide or Al2O3.

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2 years ago

Read 2 more answers

Is my answer correct? It's a mean, median, and mode question.

Serjik [45]

A. Mean

Mean = Total / How many numbers there are

City A- Add all the numbers:

4 + 3.5 + 5 + 5.5 + 4 + 2 = 24

There are 6 numbers.

24 / 6 = 4

Mean = 4 for City A

City B- Mean:

Add all the numbers:

5 + 6 + 3.5 + 5.5 + 4 + 6 = 30

There are 6 numbers.

30 / 6 = 5

Mean = 5 for City B

B. MAD(Don't know this part)

C. Median

City A- Median:

There are 2 middle numbers.

They are 5 and 5.5

5 + 5.5 = 10.5

10.5 / 2 = 5.25

Median = 5.25 for City A

City B- Median:

The 2 middle numbers are 3.5 and 5.5

3.5 + 5.5 = 9

9 / 2 = 4.5

Median = 4.5 for City B.

Answers:

a. The mean for City A is 4. The median for City B is 5.
b. Don't know MAD
c. The median for City A is 5.25. The median for City B is 4.5

Hope this helped☺☺

5 0

3 years ago