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3 years ago

What are the vertex and xintercepts of the graph of the function below? y=(x + 4)(x-2)

Mathematics

1 answer:

erik [133]3 years ago

3 0

Yo sup??

y=(x+4)(x-2)

to find the x intercept put y=0

0=(x+4)(x-2)

so either x=-4 or x=2

Therefore the graph intersects the x axis at -4 and 2

Lenght of x intercept=|-4-2|=6 units

y=(x+4)(x-2)

=x^2+2x-8

This is an upward opening parabola

To find the coordinates of the vertex we can apply the formula

(-b/2a,-D/4a)

b=2

a=1

D=b^2-4ac

=4-4*1*(-8)

=4+32=36

Vertex=(-2/2*1,-36/4*1)

=(-1,-9)

Hope this helps.

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When giving directions to your house, you tell someone to drive two miles east, then three miles north, then one mile west. what

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3 years ago

Ace Cars says they will pay Jim a 10% commission on the sale price of each car. Budget Cars

Sergeeva-Olga [200]

Answer: The car has to sell for $20000

Step-by-step explanation:

Let x represent the price that the car would have to sell for in order for these two job opportunities to pay Jim the same amount.

Ace Cars says they will pay Jim a 10% commission on the sale price of each car. It means that his pay would be

10/100 × x = 0.1x

Budget Cars says they will pay him $500 per week plus a 7.5% commission on the sale price of each car. It means that his pay would be

500 + 0.075x

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5 0

3 years ago

The graph below shows a line segment MN: graph of line MN going through ordered pairs negative 2, 3 and 1, negative 3 Which of t

Katyanochek1 [597]

The line segment goes through (-2,3) and (1,-3).

The slope of the line is
$\frac{-3-3}{1-(-2)} = \frac{-6}{3} =-2$

Therefore the equation of the line segment is of the form
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8 0

3 years ago

A website had 826, 140 hits last month what is the value of the 8 in 826,140

Angelina_Jolie [31]

800,000 or eight hundred thousand.

<h3>Further explanation</h3>

<u>Problem:</u> The given number is 826,140.

<u>Question:</u> What is the value of the digit 8?

<u>The Process:</u>

This is a problem with place value.

Let us set the place values from 826,140 consecutively as follows.

In the thousands period: 8 hundred thousands, 2 ten thousands, 6 one thousands.
In the units period: 1 hundreds 4 tens 0 ones.

Let us say in word form: eight hundred twenty-six thousand six hundred forty.

Hence, the value of the 8 in the numbers 826,140 is 800,000 or eight hundred thousand.

- - - - - - -

<u>Extra:</u>

What is the value of the digit 6 in the numbers 826,140? The answer is 6,000 or six thousand.

- - - - - - -

<u>Notes:</u>

Recall that the digits in large numbers are in groups of three places, i.e.,

hundreds,
tens, and
ones (or units).

The groups are called periods, i.e.,

millions period
thousands period
ones or units period

Commas are typically used to separate the periods.

<h3>Learn more</h3>

Some similar problems brainly.com/question/106975 and brainly.com/question/547255
What 3 digits are in the units period of 4,083,817 brainly.com/question/558692

Keywords: a website had 826,140 hits last month, what is the value of the 8, digit, the units period, a large number, standard form, millions, thousands, hundreds, tens, ones, the place value