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4 years ago

Plzs hurry and answer this!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

evablogger [386]4 years ago

5 0

-1/3 is ure answer hehehhe

professor190 [17]4 years ago

5 0

-1\3 I am helping so you can get a brainliest answer

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the axis of symmetry for the graph of the function is f(x) = 1/4x2 bx 10 is x = 6. what is the value of b?

Lady bird [3.3K]

we have

$f(x)=\frac{1}{4} x^{2} +bx+10$

This is a vertical parabola open upward

The axis of symmetry is equal to the x-coordinate of the vertex

The vertex is the point (h,k)

the equation of the axis of symmetry is $x=h$

In this problem

$x=6$

so the x-coordinate of the vertex is $h=6$

Convert the quadratic equation in vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-10=\frac{1}{4} x^{2} +bx$

Factor the leading coefficient

$f(x)-10=\frac{1}{4}(x^{2} +4bx)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-10+b^{2}=\frac{1}{4}(x^{2} +4bx+4b^{2})$

Rewrite as perfect squares

$f(x)+(b^{2}-10)=\frac{1}{4}(x+2b)^{2}$

$f(x)=\frac{1}{4}(x+2b)^{2}-(b^{2}-10)$

remember that

$h=6$

$(x+2b)=(x-6)$

$2b=-6$

$b=-3$

substitute in the equation

$f(x)=\frac{1}{4}(x-6)^{2}-((-3)^{2}-10)$

$f(x)=\frac{1}{4}(x-6)^{2}+1$

therefore

the answer is

$b=-3$

8 0

4 years ago

Read 2 more answers

What is x please fast <img src="https://tex.z-dn.net/?f=3%20%7Bx%7D%5E%7B2%7D%20%20-%205x%20%2B%204x%20%3D%203%20%7Bx%7D%5E%7

GaryK [48]

Answer:

$3 {x}^{2} - 5x + 4x = 3 {x}^{2} - 5 {x}^{2} + 9x \\ 3 {x}^{2} - x = - 2 {x}^{2} + 9x \\ 3 {x}^{2} + 2{x}^{2} = 9x + x \\5 {x}^{2} = 10x \\ 5x = 10 \\ x = \frac{10}{5} = 2 \\ x = 2 \\ thank \: you$

4 0

3 years ago

Read 2 more answers

Easy khan academy math. please answer asap

Monica [59]

Answer:

$\boxed{\sf B \ and \ C}$

Step-by-step explanation:

The triangle is a right triangle.

We can use trigonometric functions to solve.

$\sf sin(\theta)=\frac{opposite}{hypotenuse}$

$\sf sin(60)=\frac{5.2}{KL}$

$\sf KL=\frac{5.2}{sin(60)}$

$\sf sin(90-60)=\frac{3}{KL}$

$\sf KL=\frac{3}{sin(90-60)}$

8 0

3 years ago

Can you guys help me?

Simora [160]

8 if not then i’m sorry

8 0

3 years ago

P varies directly with T and p=10 when T=500. When T=509, find T

Zepler [3.9K]

Answer:

Let,

P= kT

P = 10, when T = 500

So, 10=k500

or, k=10/500

or, k=1/50

When T=509

P=kT

or, P=(1/50)×509

or, P=508/50

or, P = 10.18

And when P = 509 (since the question isn't clear)

509=(1/50)×T

or, T=509×50

or, T=25450

5 0

3 years ago