find the vertex of the quadratic function f(x) = (x-4) (x+2)

Answers

Answer 1

Answer:

vertex = (1, - 9 )

Step-by-step explanation:

The x- coordinate of the vertex is at the midpoint of the zeros.

Given

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

Find the zeros by letting f(x) = 0 , that is

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

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 4 = 0 ⇒ x = 4

Then

[tex]x_{vertex}[/tex] = [tex]\frac{-2+4}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Substitute x = 1 into f(x) for corresponding y- coordinate

f(1) = (1 - 4)(1 + 2) = (- 3)(3) = - 9

Vertex = (1, - 9 )


Related Questions

Giving brain list
tell whether the ratio is a proportion
Need work shown
Need 4,5,6,7,8
If u answer with a d*um* answer I will report u

Answers

Answer:

i believe it proportional

Step-by-step explanation:

pls no report me i did this stuff in 6th grade so i forgot :)

how to find cp if loss and sp are given​

Answers

Step-by-step explanation:

[tex] \tt{ \: H \: E \: Y \: \: T \: H \: E \: R\: E \: }[/tex] !

When Loss and Selling price ( SP ) are given , Cost price ( CP ) can be found out using the following formulae :

✰ [tex] \large{ \boxed{ \boxed{ \tt{CP = Loss + SP}}}}[/tex]

[tex] \text{How \: did\: we \:get \:the \: formula : \: CP \: = Loss \: + \: SP} \: [/tex] ?

We simply derived the formula from Loss = CP - SP.

First , Swap the sides of the equation :

⟶ [tex] \text{CP - SP = Loss}[/tex]

Move SP to right hand side and change it's sign :

⟶[tex] \text{CP = Loss + SP}[/tex]

This is how , CP can be obtained when we are given loss and SP.

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# [tex] \underbrace{ \tt{C \: a \: r \: r \: y \: \: O \:n \: \: L \: e \: a \: r \: n \: i \: n \: g}}[/tex] !!

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

this is a yes or no question... if a box has equal and opposite forces acting on it, will the box be accelerate??

Answers

Answer:

no

............................

No because of the forces being equivalent

It takes Diego of an hour to complete a lap on a circular bike track. The track is mile long. What is Diego's bike speed? 8 hours per mile 1/8 mile per hour 8 miles per hour 1/8 hours per mile

PLEASE HELP, I DON'T UNDERSTAND THE WORDING​

Answers

Answer:

C. 8 miles per hour

Step-by-step explanation:

It takes Diego [tex]\frac{1}{8}[/tex] of an hour to complete the lap = [tex]\frac{1}{8}[/tex] x 1 hour = [tex]\frac{1}{8}[/tex] hour

Distance of the track = 1 mile long

The speed of an object expresses the ratio of distance moved to time taken to cover the distance.

i.e speed = [tex]\frac{distance}{time taken}[/tex]

           = [tex]\frac{1}{\frac{1}{8} }[/tex]

           = 8

Speed = 8 mile per hour

Therefore, Diego's bike has a speed of 8 miles per hour.

Please help what is the answer

Answers

The answer would be y = x + 2

Find the perimeter of the figure.
8 m
12 m
10 m
9 m
29 m

Answers

Answer:  the answer is going to be 64m hope this helped :)

Step-by-step explanation:

Jaime has lunch at a restaurant and needs to determine how
much tip to leave based on his bill. If his bill was $14.41 and
Jaime wants to leave a 20% tip, what is a reasonable estimate
for how much he should leave?

Answers

Answer:

2.88

Step-by-step explanation:

Picture is below...........................

Answers

Answer:

C or A

thats all i know hope it helps

anyone elses gym teacher play its raining tacos like the whole gym class? lol just me?

The number 5/7 can be best described as a(n) _____.

mixed number
improper fraction
proper fraction

Answers

Answer:

proper fraction

Step-by-step explanation:

Nope just yours l.ma0.

The answer is proper fraction.

PLEASE HELP ASAP ILL GIVE BRAINLY

Answers

Step-by-step explanation:

x= (70+83+90)/3= 81

85=(89+75+y)/3

255=89+75+y

y=91

92=(86+a+a)/3

276=86+2a

2a=190

a=95

93=(b+b+b)/3

279=3b

b=93

i need help with the work and math

Answers

What do you need help with ??

Liz's math test included a survey question asking how many hours students spent studying for the test. The scatter plot below shows the relationship between how many hours students spent studying and their score on the test. A line was fit to the data to model the relationship.

Answers

Complete question :

Liz's math test included a survey question asking how many hours students spent studying for the test. The scatterplot and regression line below show the relationship between how many hours students spent studying and their score on the test.

The fitted line has a slope of 15.

What is the best interpretation of this slope?

Answer:

C.)

The model predicts that the score will increase 15 points for each additional hour of study time.

Step-by-step explanation:

The slope of a regression line represents the rate of change :

From the formula :

Rise / Run = (y2 - y1) / (x2 - x1).

The slope is a Coefficient which shows how much the dependent variable changes per unit change in the independent variable.

Hence, for a slope value of +15, which is positive, meaning an increase ; then the score obtained will increase by 15 per additional unit increase in hour of study.

Answer:

B and 96

Step-by-step explanation:

Khan academy

Factor completely the given polynomial
x(x + 20) + 11(x + 20)

x(x + 20) + 11(x + 20)=

Answers

Answer:

(x + 20)(x + 11)

Step-by-step explanation:

x(x + 20) + 11(x + 20) =

Factor out the common factor of x + 20.

= (x + 20)(x + 11)

The binomials make it look complicated, but this is simpler than you think.

Look at this simpler, but similar, example.

Factor xy + 4y

xy + 4y =

You see clearly that y is a common factor, so you factor out y, and you get

= y(x + 4)

In your problem, you have

x(x + 20) + 11(x + 20) =

where (x + 20) is the common factor.

You factor out the common factor, (x + 20). What is left? x + 11 as a factor, so you get

(x + 20)(x + 11)

May you please help me with this question

Answers

Answer:

Row 2 Column 2: 1/25

Row 2 Column 3: 0.04

Row 3 Column 1: 75%

Row 3 Column 3: 0.75

Row 4 Column 1: 80%

Row 4 Column 2: 4/5

Answer:

4 as a fraction is 1/25 as a decimal 0.04

3/4 as a percentage is 75% as a decimal 0.75

0.8 as a fraction 4/5 and as a percentage is 80%

Step-by-step explanation

PLEASE HELP! GIVING POINTS :)!

Answers

1 and 1/8 because if you convert the 1/4 and 3/4 you get 2/8 and 6/8 which is 1 or 8/8. Plus the 1/8 so

Answer: 1 and 1/8 or 9/8

help lol i cant read the text, please tell me how u did it too <3

Answers

I can't read the text either, can you zoom in a bit?

I can’t read the text it’s too small sorry

Susan graphed a system of equations for the lines y = 3x + 1 and y = 3x - 10. Which statement is true about Susan's lines?
The lines intersect once at a right angle because they are perpendicular.
The lines intersect at all points because they are the same line.
The lines intersect three times because each has a slope of three.
The lines do not intersect because they are parallel and have different y-intercepts.

Answers

Answer: The lines do not intersect because they are parallel and have different y-intercepts.

Step-by-step explanation:

An empty rectangular tank measures 60 cm by 50 cm by 56 cm. It is being filled with water flowing from a tap at a rate of 8 liters per minute. How long will it take to fill up the tank? (1 liter = 1000 cm3)

Answers

Answer:

21 min

Step-by-step explanation:

V = lwh

V = 60(50)(56) = 168000 cu. cm

8 liters = 8000 cu cm

168000/8000 = 21 min.

I NEED HELP ASAP, AND PLZ DONT SPAM

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the indices,

After applying the log rules we get the equation as,

===> 3-x = 1/2

===> x = 5/2

Enter the correct answer in the box.
What is the standard form of function f?

[tex]f(x)=4(x+6)^2+5[/tex]

Substitute numerical values into the equation for a, b, and c.

[tex]f(x)=ax^{2} +bx+c[/tex]

Answers

Answer:

f(x) = 4x² + 48x + 149

Step-by-step explanation:

Given

f(x) = 4(x + 6)² + 5 ← expand the factor using FOIL

     = 4(x² + 12x + 36) + 5 ← distribute parenthesis by 4

     = 4x² + 48x + 144 + 5 ← collect like terms

     = 4x² + 48x + 149 ← in standard form

Answer:

Have a great rest of your day ;)

Step-by-step explanation:

PLEASE HELP I'M SOO CONFUSED AND IT'S DUE TODAY!!!!!!!!!!!!!...I HAVE A LOT OF WORK TO DO TODAY AND I JUST NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

2 Triangles with the bilateral of the sun to the 2nd power of pie

Step-by-step explanation:

I took the test ;)

(x^2+3x^2-kx-24)÷(x+3) what's the value of k??​

Answers

Answer:

-4

Step-by-step explanation:

since x+3 is a factor of the polynomial (x^2+3x^2-kx-24), then;

x+3 = 0

x = -3

Substitute x = -3 into the polynomial

x^2+3x^2-kx-24 = 0

(-3)^2+3(-3)^2-(-3)k-24 = 0

9 + 27 + 3k - 24 = 0

36-24 + 3k = 0

12 = -3k

k = -12/3

k = -4

Hence the value of k is -4

solve for x or find x ​

Answers

Answer:

considering fig. as rectangle.... diagonal are equal

so...8x-10=14

8x=24

x=3

15x=12x+15 whats the angle measures.

Answers

Answer:

x = 5 (please read the step by step explanation)

Step-by-step explanation:

So, I'm just going to solve for x because the instructions aren't too clear. I believe there is supposed to be an image attached to it, but seeing as I don't have that, I'll just solve for x and you can plug in with the values.

15x = 12x + 15

Same to both sides:

3x = 15

Isolate x:

x = 5

Just plug in those values and you'll be good to go! Have a good day!

Kyle's car repair costs $1000. He has 2 coupons which could save him $80 off of $1000, or 15% off of $1000. EXPLAIN WHICH COUPON WOULD SAVE KYLE THE MOST MONEY AND SUPPORT YOUR THINKING WITH MATHEMATICS

Answers

Answer:

Kyle would save more using his 15% off of $1000 coupon.

Explanation:

15 ÷ 100 • 1000 = 150

1000 - 150 = $850

$150 is the amount the 15% coupon took off.

$850 is the amount Kyle will pay.

vs.

1000 - 80 = $920

PLEASE HELP AND EXPLAIN YOUR ANSWER!

Answers

Answer:

24w - 16u + 48

Step-by-step explanation:

by distributive property you have to distribute the number on the outside to the number inside the parenthesis

Answer:

24w - 16u + 48

Step-by-step explanation:

Ok so,

to distribute means to multiply -8 with all of the numbers inside of the parentheses in order to get rid of it. So it should look like this.

-8 x -3w = 24w

-8 x +2u = -16u

-8 x -6 = 48

Now you just take all of the numbers and put them together which will be

24w - 16u + 48

TAADAA!!

hope this helps!!! have a good day!

Which one is it???????

Answers

Answer:

up 6

mayby

.........

Answer:

Left 6 is the answer

Step-by-step explanation:

You must move it in the left to be able to solve it

Help a dmb person out
You are renting a Porsche for the day. There is a daily fee of $50 and a charge of $0.50 per mile. Your budget allows a maximum total cost of $100. How many miles can you travel in the car on your budget?

Answers

Answer:

100 miles

Step-by-step explanation:

A random sample of 1000 people who signed a card saying they intend to quit smoking were contacted 9 months later. Turned out that 210 (21%) of the sampled individuals had not smoked in the past 6 months. What is the population, parameter, sample and statistic?

Answers

Answer:

Population is the total number of people that fall into the description of those that the research concerns.

In this case, Population is: Everyone who signed a card saying that they intend to quit smoking.

Sample. This is a subset of the population that the research is based on.

Sample = 1,000 people surveyed.

Parameter and Statistic are both descriptive measures but parameter is for the population and statistic is for the sample.

Parameter = Percentage of total population who have not smoked in 6 months.

Statistic = 21% of sample who have not smoked in 3 months.

david roller skates with a constant speed of 12kmh how far can he travel in 3 hours

Answers

Answer:

36

Step-by-step explanation:

12 x 3 =36

Answer:

36 kilometers or 22.4 miles

Step-by-step explanation:

12 kmh times 3 equals 36

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