Help me fast please helpppp

Help please I need 5 points total. i need 2 to left of vertex. i need vertex. i need 2 to right of vertex. Please, quickly, I am

zlopas [31]

We are given with a quadratic equation which represents a Parabola , we need to find the vertex of the parabola , But let's recall that , For any quadratic equation of the form ax² + bx + c = 0 , the vertex of the parabola is given by ;

${\quad \qquad \boxed{\bf{Vertex = \left(\dfrac{-b}{2a},\dfrac{-D}{4a}\right)}}}$

Where , D = b² - 4ac (Discriminant)

Now , On comparing the given equation with ax² + bx + c , we have

⇢⇢⇢ a = 1 , b = - 10 , c = 27

Now , Calculating D ;

${:\implies \quad \sf D=(-10)^{2}-4\times 1\times 27}$

${:\implies \quad \sf D=100-108}$

${:\implies \quad \bf \therefore \quad D=-8}$

Now , Calculating the vertex ;

${:\implies \quad \sf Vertex =\bigg\{\dfrac{-(-10)}{2\times 1},\dfrac{-(-8)}{4\times 1}\bigg\}}$

${:\implies \quad \sf Vertex = \left(\dfrac{10}{2},\dfrac{8}{2}\right)}$

${:\implies \quad \bf \therefore \quad Vertex = (5,2)}$

Hence , The vertex of the parabola is at (5,2)

Note :- As the Discriminant < 0 . So , the equation will have imaginary roots .

Refer to the attachment for the graph as well .

5 0

3 years ago

Need help my computer doesn't respond 280,116,913,611,200 X 2

madam [21]

Well you could try to refresh the computer by restarting it.

7 0

3 years ago

Read 2 more answers

Please help me understand this number sequence

scZoUnD [109]

Answer:

Step-by-step explanation:

A=a(r)^t

a=1

time=2.5 hours=25/10 ×60=150 minutes

10t=150

t=150/10=15

$A=1(2)^{15}=32,768$

3 0

3 years ago

You wish to test the following claim ( H a ) at a significance level of α = 0.01 . H o : μ = 60.8 H a : μ ≠ 60.8 You believe the

ad-work [718]

Answer:

Step-by-step explanation:

This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 60.8

For the alternative hypothesis,

µ ≠ 60.8

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 8,

Degrees of freedom, df = n - 1 = 8 - 1 = 7

t = (x - µ)/(s/√n)

Where

x = sample mean = 66.9

µ = population mean = 60.8

s = samples standard deviation = 10.7

t = (66.9 - 60.8)/(10.7/√8) = 1.61

We would determine the p value using the t test calculator. It becomes

p = 0.076

Since alpha, 0.01 < than the p value, 0.076, then we would fail to reject the null hypothesis. Therefore, At a 1 % level of significance, the sample data showed that there is no significant evidence that μ ≠ 60.8

Therefore, this p-value leads to a decision to accept the null hypothesis

8 0

4 years ago

Given the function f(x) = 4x+2, what is the value of f(3)?

Masja [62]

Answer: f(3) = 14

Concept:

Here, we need to understand the idea of evaluation.

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given function

f(x) = 4x + 2

Substitute value of the x into the expression

f(3) = 4(3) + 2

Simplify by multiplication

f(3) = 12 + 2

Simplify by addition

f(3) = $\boxed{14}$

Hope this helps!! :)

Please let me know if you have any questions

7 0

3 years ago