Help!!!!!! Please llease

a circular rug is 6 feet in diameter. binding for the edge costs $1.50 per yard. what will it cost to bind the rug? justify your

STatiana [176]

C = circumference or perimeter of circle

d = diameter length

C = πd

How many yards in 6 feet?

1 yard = 3 feet

So, 2 yards = 6 feet

C = π(2 yards)

C = 2π yards

Each yard is $1.50.

So, what do you think we do next?

Can you finish?

8 0

3 years ago

This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?

creativ13 [48]

Answer:

Part a) The function’s equation written in vertex form is

$f(x)=2(x-2)^2-8$

Part b) The function’s equation written in factored form is equal to

$f(x)=2x(x-4)$

Step-by-step explanation:

Part a) What is the function’s equation written in vertex form?

we know that

The equation of a vertical parabola written in vertex form is equal to

$f(x)=a(x-h)^2+k$

where

a is a coefficient

(h,k) is the vertex

Looking at the graph

The vertex is the point (2,-8)

substitute

$f(x)=a(x-2)^2-8$

Find the value of the coefficient a

take one point from the graph

(0,0)

substitute in the equation

$0=a(0-2)^2-8\\0=4a-8\\4a=8\\a=2$

therefore

The function’s equation written in vertex form is

$f(x)=2(x-2)^2-8$

Part b) What is the function’s equation written in factored form?

we know that

The equation of a vertical parabola written in factored form is equal to

$f(x)=a(x-x_1)(x-x_2)$

where

a is a coefficient

x_1 and x_2 are the zeros or x-intercepts of the function

Remember that the x-intercept is the value of x when the value of the function is equal to zero

Looking at the graph

The zeros or x-intercepts of the function are

x=0 and x=4

so

$f(x)=a(x-0)(x-4)$

$f(x)=ax(x-4)$

Find the value of the coefficient a

take one point from the graph

(2,-8)

substitute

$-8=a(2)(2-4)\\-8=-4a\\a=2$

therefore

The function’s equation written in factored form is equal to

$f(x)=2x(x-4)$

4 0

4 years ago

Please Help Thank you

kakasveta [241]

Any relationship with a constant rate of change will graph a (line)

3 0

4 years ago

Read 2 more answers

Mimi has 73 trading cards. Tanner has t more trading cards than Mimi. Write an expression that shows how many trading cards Tann

____ [38]

Hey! If Tanner has t more, just add to to 73, so the expression would be t+73.

<span>Hope that this helped! If it did, please give me a good rating and mark me brainliest for my hard work. Thanks!</span>

4 0

3 years ago

Read 2 more answers

Solve for x<br> log(x–4)+log(x+3)=2logx

pentagon [3]

$D:x-4>0 \wedge x+3>0 \wedge x>0\\
D:x>4 \wedge x>-3 \wedge x>0\\
D:x>4\\\\
\log(x-4)+\log(x+3)=2\log x\\
\log(x-4)(x+3)=\log x^2\\
(x-4)(x+3)=x^2\\
x^2+3x-4x-12=x^2\\
-x=12\\
x=-12\\
-12\not\in D\\
\Downarrow\\
\boxed{x\in\emptyset}$

5 0

3 years ago