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1 year ago

Find the x- and y-intercept of the parabola y = x² + 4x + 2

Mathematics

1 answer:

Veronika [31]1 year ago

4 0

Answer:

x-intercept = (- 2 + √2, 0) (- 2 - √2, 0)

y-intercept = (2, 0)

Step-by-step explanation:

<u>Given expression</u>

y = x² + 4x + 2

<u>Find the x-intercept</u>

<em>Definition of x-intercept is the point that intersects with the x-axis, which means the y value is 0</em>

(0) = x² + 4x + 2

(x + 2 - √2) (x + 2 + √2) = 0

x = -2 ± √2

Therefore, the x-intercepts are $\Large\boxed{(-2+\sqrt{2},~0) }$ $\Large\boxed{(-2-\sqrt{2},~0) }$

<u>Find the y-intercept</u>

<em>Definition of x-intercept is the point that intersects with the y-axis, which means the x value is 0</em>

y = (0)² + 4(0) + 2

y = 0 + 0 + 2

y = 2

Therefore, the y-intercept is $\Large\boxed{(0,~2)}$

Hope this helps!! :)

Please let me know if you have any questions

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2. Un auto viaja a 60 km/h y se detiene a los 2 segundos. qué distancia recorrió en el

posledela

Se calcula que la aceleración es - 8,35 m/s.

<h3 /><h3>¿Qué es la aceleración?</h3>

Ahora sabemos lo siguiente de la pregunta;

Velocidad inicial (u) = 60 km/h o 16,7 m/s

Tiempo empleado (t) = 2 s

Dado que;

v = tu + en

v = 0 m/s porque el carro se detenía

tu = -en

a = -(u/t)

a= -1(6,7 m/s/2 s)

a =- 8,35 m/s

La aceleración es negativa porque la velocidad disminuye con el tiempo.

Obtenga más información sobre la aceleración: brainly.com/question/12550364

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1 year ago

What is the median of the following list of numbers?

Novay_Z [31]

Answer:

The answer is 11.

Step-by-step explanation:

First, you put all of the numbers in order, from 7 - 19.

You find the median. You should get 11 and 11.

You add the numbers up to get 22 and divide by 2.

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2 years ago

How do I simplify this

inna [77]

The calculator came up with this -23.399156493247038795316239455591

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3 years ago

The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp. Jackie wants to manipulate the

Sauron [17]

The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp.

calculates three times a year, not just once a year.

$f(x)= 4(4)^x$

3 times a year

so x becomes 3x

$f(x)= 4(1+r)^{3x}$

$4(4)^x=4(1+r)^{3x}$

Take log on both sides

$log(4)^x=log(1+r)^{3x}$

Use log property and move exponent before log

$xlog(4)=3xlog(1+r)}$

Divide both sides by x

log 4 = 3 log(1+r)

Solve for '1+r'

log 4 = log(1+r)^3

Remove log from both sides

4 = (1+r)^3

take cube root on both sides

1.584740= 1+r

1+r = 1.59

$f(x)= 4(1+r)^{3x}$

so equation becomes

$f(x)= 4(1.59)^{3x}$

1+r = 1.59

subtract 1 from both sides

So r= 59 = 59%

So growth factor is 59%

Answer is option C

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2 years ago

A company is bidding on two projects, A and B. The probability that the company wins project A is 0.40 and the probability that

kondaur [170]

Answer:

Probability that the company wins project A or project B is 0.50.

Step-by-step explanation:

We are given that a company is bidding on two projects, A and B. The probability that the company wins project A is 0.40 and the probability that the company wins project B is 0.25.

Also, Winning project A and winning project B are independent events.

Let the Probability of winning project A = P(A) = 0.40

Probability of winning project B = P(B) = 0.25

Probability that the company wins project A or project B = $P(A \bigcup B)$

$P(A \bigcup B) = P(A) + P(B) - P(A \bigcap B)$

So, we have to find the value of Probability of winning project A and B, i.e;

$P(A \bigcap B)$

<em>Since, we are given that Winning project A and winning project B are independent events which means when this condition is given then;</em>

$P(A \bigcap B) = P(A) \times P(B)$

= 0.40 $\times$ 0.25 = 0.10

Now, Probability that the company wins project A or project B is given by;

$P(A \bigcup B) = P(A) + P(B) - P(A \bigcap B)$

= 0.40 + 0.25 - 0.10

= 0.65 - 0.10 = 0.55

Hence, probability that the company wins project A or project B is 0.50.

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2 years ago