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2 years ago

10

mrs hamilton worked for a real estate agency. she sold a house for $175,000. the agency's fee for the sale was 4% of the sale pr

ice. mrs hamilton received $4,7725 of the agenc's fee as her comission. what percent of the agencys fee did mis hamilton recieve?

1 answer:

katrin2010 [14]2 years ago

3 0

You wrote $4,7725 and i dont understand the question.

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Which function has a vertex on the y-axis? f(x) = (x – 2)2 f(x) = x(x + 2) f(x) = (x – 2)(x + 2) f(x) = (x + 1)(x – 2)

strojnjashka [21]

we know that

If the vertex is on the y-axis, then the x-coordinate of the vertex is equal to zero

we are going to verify the vertex of each one of the functions to determine the solution

Remember that

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

$y=a(x-h)^{2} +k$

where

(h,k) is the vertex

if $a>0$ -------> the parabola open upward (vertex is a minimum)

if $a$ -------> the parabola open downward (vertex is a maximun)

<u>case A)</u> $f(x)=(x-2)^{2}$

This is a vertical parabola open upward

the vertex is the point $(2,0)$

therefore

The function $f(x)=(x-2)^{2}$ does not have a vertex on the y-axis

<u>case B)</u> $f(x)=x(x+2)$

$f(x)=x(x+2)=x^{2}+2x$

convert to vertex form

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

$f(x)+1=x^{2}+2x+1$

Rewrite as perfect squares

$f(x)+1=(x+1)^{2}$

$f(x)=(x+1)^{2}-1$

the vertex is the point $(-1,-1)$

therefore

The function $f(x)=x(x+2)$ does not have a vertex on the y-axis

<u>case C)</u> $f(x)=(x-2)(x+2)$

$f(x)=(x-2)(x+2)=x^{2}-2^{2}$

$f(x)=x^{2}-4$

the vertex is the point $(0,-4)$

The x-coordinate of the vertex is equal to zero

therefore

The function $f(x)=(x-2)(x+2)$ has a vertex on the y-axis

<u>case D)</u> $f(x)=(x+1)(x-2)$

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

convert to vertex form

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

$f(x)+2= x^{2} -x$

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

$f(x)+2+0.25= x^{2} -x+0.25$

$f(x)+2.25= x^{2} -x+0.25$

Rewrite as perfect squares

$f(x)+2.25= (x-0.50)^{2}$

$f(x)=(x-0.50)^{2}-2.25$

the vertex is the point $(0.5,-2.25)$

therefore

The function $f(x)=(x+1)(x-2)$ does not have a vertex on the y-axis

<u>the answer is</u>

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

6 0

3 years ago

Read 2 more answers

I need help please.

enot [183]

0.2 is rounded to the nearest tenth

3 0

3 years ago

Read 2 more answers

ABCD is a parallelogram. If a CDA - 57 then BCD-_?

Paha777 [63]

Answer:

57

Step-by-step explanation:

It is given in the question that length CDA = 57.

Since the shape is a parallelogram, then we know that length AD=BC and AB=CD.

CDA = CD + AD

BCD = BC + CD

Since BC=AD and CD=CD

BCD = BC + CD is the same as CD + AD = CDA

Therefore BCD is the same length as CDA = 57

In other words, CDA is made up of a long side and a short side = 57

BCD is also made up of a long side and a short side, and since the longs sides are equal to each other and the short sides are also equal to each other in a parallelogram, BCD is the same length as CDA = 57.

Hope this helped!

3 0

2 years ago

A video game is on sale for 40% off. The sale price is $34.79. Find the original price of the game.

makkiz [27]

6”5 dollars is the answe

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2 years ago

The probability that a dancer likes ballet is .35. The probability that the dancer likes tap is .45. The probability that the da

Tom [10]

It is given the probability that a dancer like ballet is 0.35

So, P(B) = 0.35

It is given the probability that a dancer like tap is 0.45

So, P(T)= 0.45

The probability that he likes both ballet and tap is 0.30

So, $P(B\cap T)=0.30$

the probability that the dancer likes ballet if we know she likes tap. This is the case of conditional probability.

So, $P(B/T)=\frac{P(B\cap T)}{P(T)}$

$P(B/T)=\frac{0.30}{0.45}$

= 0.666

= 0.67

Therefore, the probability that the dancer likes ballet if we know she likes tap is 0.67.

Option 3 is the correct answer.

6 0

3 years ago