If f(x)= x2 - 4x - 4, find the input values that make the function 0.

Answers

Answer 1

Step-by-step explanation:

f(x) = x² - 4x - 4

the general formula for solving such a quadratic equation (for f(x) = 0) is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -4

c = -4

x = (4 ± sqrt(4² - 4×1×-4))/(2×1) = (4 ± sqrt(16 + 16))/2 =

= (4 ± sqrt(2×16))/2 = (4 ± 4×sqrt(2))/2 = 2 ± 2×sqrt(2)

x1 = 2 + 2×sqrt(2)

x2 = 2 - 2×sqrt(2)


Related Questions

Help help hep math math

Answers

[tex]300 {ft}^{2} [/tex]

Step-by-step explanation:

d=20

r=10

π=3

[tex]a = \pi{r}^{2} [/tex]

[tex]a = (3) {(10)}^{2} [/tex]

[tex]a = 300[/tex]

Answer:

A = 300 ft^2

Step-by-step explanation:

First we need to  find the radius

r = 1/2 d

The diameter is 20

r = 1/2(20) = 10

A =pi r^2

We are using 3 for pi

A = 3( 10)^2

A = 3 * 100

A = 300 ft^2

HELP ME!! (only solve A)

Answers

Answer:

5.2

?

Step-by-step explanation:

[tex]\text{Given that,}\\\\(x_1,y_1) = (5,2)~~ \text{And} ~~ (x_2,y_2) =(1,0)\\\\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{0 - 2}{1 -5} = \dfrac{-2}{-4} = \dfrac 12[/tex]

HELPPP 20 PNTS---- CHOOSE THE WRITE ANSWER!!!!

Answers

Answer:

B. is correct answer I think so

Step-by-step explanation:

i need help please

plz mark me as brilliant

when a number is decreased by 3% the result is 80. what was the original number?

Answers

Answer:

82.47

Step-by-step explanation:

.93n = 80

n = 80/.93

n = 82.47

5n + 2m+4n
30m 30m
Simplify Each Expression

Answers

Answer:

5n+2m+3600nm^2

Step-by-step explanation:

50 Point Question Answer ASAP giving brainliest

Answers

Answer:

the reminder is 5 and the quotient is 2x+4

can someone help me with this​

Answers

[tex]\dfrac{2x-3}x = \dfrac{14}{x+5}\\\\\implies (2x-3)(x+5) = 14x\\\\\implies 2x^2 +10x -3x -15 -14x=0\\\\\implies 2x^2-7x-15=0\\\\\text{Apply quadratic formula,}~~x= \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}.\\\\\text{In this case,}~ a=2, b=-7~ \text{and}~ c = -15. \\\\\\x = \dfrac{-(-7) \pm \sqrt{(-7)^2 -4\cdot 2 \cdot (-15)}}{2(2)}\\\\\\\implies x = \dfrac{7 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{7 \pm 13}4\\\\\\[/tex]

[tex]\text{Hence} ~x = \dfrac{7+13}{4} = \dfrac{20}4 = 5 ~\text{or}~ x = \dfrac{7-13}4 = -\dfrac{6}4 = -\dfrac 32[/tex]

how to calculate $15 with a 40% off

Answers

Answer:

15 x 0.40=6

so subtract 6 from 15, and you have $9.

Hope this helps!

Answer:

$9 is correct

Step-by-step explanation:

$15 x 60% is $9

to find 60% you use 100%-40% equals 60%

does this make sense?

Helpppppppnmeeeeeeee plsss I will give you brainliest

Answers

Answer:

5)  Slope is 6/5

6) Slope is -3

7) Slope is 2/5

8) Slope is 2

Step-by-step explanation:

You're welcome :D

How to solve math equation

Answers

By using a calculator

The set of ordered pairs shown below defines a relation. (MAFS.912.F-IF.2.4){(0, 0), (1, 5), (2, 8), (3, 9), (4, 8), (5, 5), (6, 0)}What is the value of the greatest element in the range of this relation?

Answers

Using the range concept, it is found that the greatest element in the range of this relation is 9.

The range of a data-set is the set that contains all possible outputs.The data-set has the format (x,y), in which the values of y are the outputs.

Hence, the range is: {0, 5, 8, 9}.

From the given range, the greatest element is 9.

For more on range of data-sets, you can check https://brainly.com/question/10891721

Under stand place value

Answers

Answer:

What do you need help with?

Step-by-step explanation:

I'm confused because you didn't include a question.

Vincent saves $8 each week. How much does he save in a year?
$56
$60
$416
$2960

Answers

He will save 416 dollars in one year

Answer:

$416

Step-by-step explanation:

weeks in a year is 52 weeks

52×8=416$

(2x+1)(3x+1)=35 using quandratic equation solve​

Answers

Answer:

  x = {-2 5/6, +2}

Step-by-step explanation:

To use the quadratic formula, it is helpful to write the equation in standard form.

  (2x +1)(3x +1) = 35

  6x^2 +5x -34 = 0 . . . . . . . subtract 35 and simplify. a=6, b=5, c=-34

The quadratic formula tells you the values of x are ...

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-5\pm\sqrt{5^2-4(6)(-34)}}{2(6)}\\\\=\dfrac{-5\pm\sqrt{841}}{12}=\dfrac{-5\pm29}{12}\\\\\boxed{x=\left\{-\dfrac{17}{6},2\right\}}[/tex]

Casey, Lawrence, and Zach form a team to compete in a bicycle relay race. Casey bikes
of the relay race, Lawrence bikes of the relay race, and Zach bikes the remaining
part of the race. Zach claims he biked the largest portion of the race.
Is Zach correct or incorrect, and why?

Answers

Answer:

he is incorrect

Step-by-step explanation:

it's wrong because it doesn't make sense

A triangle has sides represented by 9, x, and x + 2. If the
perimeter is 35, find the length of the longest side.

Answers

Answer:

14.

Step-by-step explanation:

1) if the sides of the given triangle are 'a'=9, 'b'=x and 'c'=x+2, then its perimeter can be written as: P=a+b+c or P=9+x+x+2;

2) if according to the condition P=35, then 9+x+x+2=35;

2x=24; ⇒ x=12;

3) if x=12, then a=9; b=12 and 14;

4) finally, c=14 - the required longest side.

Please help!!! No LINKS
Solve the system of equations below by graphing both equations with a paper and pencil!!! What is the solution?!??! Use the photo below to answer the question!!

Answers

Answer:

B is the answer

Step-by-step explanation:

In absolute value equations when it equals to a negative number in the beginning do I make it positive in the positive case?

Answers

Answer: x can equal a negative number

Step-by-step explanation: it only exists on the side of the equation with the absolute value not the side that doesn’t If you want help with graphing I can do that too! Hope this helps

the amount of money M , in dollars, Paul earns can be represented by the equation M=12.5h+11, where h is the number of hours paul works. which answer is the best interpretation of the number 11 in the equation

Answers

Answer: 11 represents the extra amount of money he gets.

Step-by-step explanation: I say this because for example, the 11 can represent how much money he gets for being present at work. 11 could also represent the extra money he earns.

The best interpretation of the number 11 in the equation is that 11 represents the extra amount of money he gets.

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation.

Given data the amount of money M , in dollars, Paul earns can be represented by the equation M=12.5h+11, where h is the number of hours paul works.

Now , M=12.5h+11,

On comparing with striaght line equation we can say that the slope is 12.5

So, number 11 in the equation represents the extra amount of money he gets for being present at work.

To learn more about equations click :

brainly.com/question/19297665

#SPJ2

lesson 5 practice problems

Answers

Answer:

Step-by-step explanation:

ok ill help but can soke one help me too

Someone please help me on both the questions!!!

Answers

Step-by-step explanation:

al nth term:

numerator:

[tex] = {n}^{2} [/tex]

denominator:

[tex] = n + 1[/tex]

so nth term :

[tex] = \frac{ {n}^{2} }{n + 1} [/tex]

b). 1; 11; 27; 49

first difference: 10; 16; 22

second difference :6

formula for 1st difference:3a+b

formula for 2nd difference:2a

Therefore:

2a=6

a=3

3a+b=10

sub in a

3(3)+b=10

9+b=10

b=1

sub into quadratic formula

[tex] {an}^{2} + bn + c[/tex]

[tex](3) {(1)}^{2} + (1)(1) + c = 1[/tex]

[tex]3(1) + 1 + c = 1[/tex]

[tex]3 + 1 + c = 1[/tex]

[tex]4 + c = 1[/tex]

[tex]c = - 3[/tex]

So Tn:

[tex]3 {n }^{2} + 1n - 3[/tex]

Step-by-step explanation:

a)

it is clearly a sequence of the square numbers over the numbers+1.

1/2 = 1²/(1+1)

4/3 = 2²/(2+1)

9/4 = 3²/(3+1)

16/5 = 4²/(4+1)

so, the nth term would be

n²/(n+1)

b)

an² + bn + c creates the sequence with increasing n (n = 1, 2, 3, 4, ...)

since for sequence the first starting value is often not generated by the general expression, we have to focus on n = 2, n = 3 and n = 4, and with that we get 3 equations with 3 variables (a, b, c) that we can solve :

n = 2

a×2² + b×2 + c = 11 = 4a + 2b + c

n = 3

a×3² + b×3 + c = 27 = 9a + 3b + c

n = 4

a×4² + b×4 + c = 49 = 16a + 4b + c

the first equation gives us

c = 11 - 4a - 2b

when we use this in the second equation, we get

27 = 9a + 3b + 11 - 4a - 2b = 5a + b + 11

b = 16 - 5a

now we use both of that in the third equation :

49 = 16a +4(16 - 5a) + 11 - 4a - 2(16 - 5a) =

= 16a + 64 - 20a + 11 - 4a - 32 + 10a =

= 2a + 43

2a = 6

a = 3

b = 16 - 5a = 16 - 5×3 = 16 - 15 = 1

c = 11 - 4a - 2b = 11 - 4×3 - 2×1 = 11 - 12 - 2 = -3

Help!! Ill give 100 points!

Answers

It is the 3rd one from the top

Answer:

I believe the answer would be C.

Step-by-step explanation:

First of all, the solution to the answer really is 1/20. If you figure out the decimal form of 4/5, it is 0.80, which is closer to 1 than to 1/2 and 0. The decimal form of 3/4 is 0.75, which is equally close to 1 and 1/2, being 0.25 from both. But it is closer to 1 than 0. I hope I’m right, and I hope this helps. :)

Given f(x) = 3x^2 + 2x – 1 and g(x) = 4x-5 find ( g of f) (-2)

Answers

Answer:

23

Step-by-step explanation:

Evaluate f(- 2) then substitute the value obtained into g(x)

f(- 2) = 3(- 2)² + 2(- 2) - 1 = 3(4) - 4 - 1 = 12 - 5 = 7 , then

g(7) = 4(7) - 5 = 28 - 5 = 23

[tex]\text{Given that,}\\\\f(x) = 3x^2 +2x -1\\\\f(-2)=3(-2)^2 +2(-2) -1 = 12-4-1=7\\\\g(x) = 4x -5\\\\\text{Now,}\\\\(g \circ f) (-2)\\\\=g(f(-2))\\\\=g(7)\\\\=4(7)-5\\\\=28-5\\\\=23[/tex]

I willl mark brainiest plz answer send right answer get points

Answers

Answer: Option D

Step-by-step explanation:

Soup : 15/5 is 3 x 7 is 21

Peanut: 35/7 is 5 x 5 is 25

The answer is D


It is easy


34. Find the average rate of change for x 0.5 to 35 for the following temperatures in degrees Fahrenheit
recorded beginning at noon. Also interpret the meaning of x = 3.5.

Answers

The average rate of change between the interval x = 0.5 to x = 3.5 is: 5.

x = 3.5 represents 3.5 hours after noon.

How to Find Average Rate of Change Over an Interval

Given an interval of x = a to x = b, the average rate of change over the given interval of a function can be calculated using the formula below:

[tex]\frac{f(b) - f(a)}{b - a}[/tex]

Given table representing the function as shown in the image attached below, let's determine the average rate of change for x = 0.5 to x = 3.5.

a = 0.5

f(a) = 47 (from the table, when x = 0.5, y = 47)

b = 3.5

f(b) = 62 (from the table, when x = 3.5, y = 62)

Plug the values into [tex]\frac{f(b) - f(a)}{b - a}[/tex]

Average rate of change = [tex]\frac{62 - 47}{3.5 - 0.5} = \frac{15}{3} = 5[/tex]

Average rate of change = 5

x = 3.5 represents 3.5 hours after noon.

Learn more about average rate of change on:

https://brainly.com/question/11627203

12. Name the angle included between AB and AD.

Answer fast

Answers

Answer: Either angle DAB or angle BAD

Explanation:

The segments AB and AD have the point A in common. So this common point is the middle letter of the angle name. We could go for angle DAB or angle BAD as they both name the same exact angle. The order doesn't matter as long as the middle letter is fixed like this.

factorize 4y^2 - 2^2?​

Answers

Answer: 4(y+1)(y-1)

Step-by-step explanation:

ft What is the area of one square? ​

Answers

Answer:

area= length×width

since it is a cube or in this case, a square all sides are the same. meaning all sides are 2ft. now you must multiply 2ft×2ft= 4ft inside. the area is 4ft

Answer:

If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches.

Step-by-step explanation:

If this is wrong I'm sorry

For a new neighborhood, 100 acres of land will be split into 10 lots.​How many acres of land will each lot have?

Answers

10

Step-by-step explanation:

I think it's 10 my bad if I'm wrong

Nisha measures the temperature at 12 noon each day.
She records her results on a graph.
Playground Temperature in January

Temperature in degrees
Monday= 2
Tuesday= 6
Wednesday= -3
Thursday= -2
Friday= 1
Nisha says the difference between the coldest and warmest
temperature is 2°C.
Is she correct and why?

Answers

Answer:

no, because the highest temperature was 6 and the lowest was -2. that's an 8 degree difference

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