Determine all values of k that make each of the following a perfect square trinomial. X^2+8x+k

Answers

Answer 1

Answer:

k can either be

12

or

12

.

Step-by-step explanation:

Consider the equation

0=x2+4x+4

. We can solve this by factoring as a perfect square trinomial, so

0=(x+2)2→x=−2 and−2

. Hence, there will be two identical solutions.

The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have

2 equal, or 1

distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:

k2−(4×1×36)=0

k2−144=0

(k+12)(k−12)=0

k=±12


Related Questions

!100 POINTS!

The graph of g(x) is transformed from its parent function, f). Apply concepts involved in determining the key features of
a rational function to determine the domain and range of the function, g(x)=
1/X-6
A. What is the domain of the function, g(x)?
B. What is the range of the function, g(x)?

Answers

Do you want the explanation?

Tom reads 42 chapters of a book in 6 hours.
What is his rate in chapters per hour?

Answers

7 books per hour, 42/6 is 7

Help me please!! Answer question #21 ( the middle question)

Answers

Answer:

i dont know sorry

Step-by-step explanation:

i  dont understand i just watch anime all day

Answer:

Free points? idek sorry.

Step-by-step explanation:

⚠️How do I solve this in descending order⚠️

2g+40g

Side info: so I know the answer is technically 42g but I also know that I have to do this in descending order so just need help with that check notifications I might ⚠️ comment ⚠️

Answers

rational. There’s nothing further that you can do with this problem

On a road map, the distance between 2 cities is 2.5 inches. The map scale is 1 inch:30 miles. What is the actual distance between the cities?

Answers

Answer:

75

Step-by-step explanation: 2 times 30 is 60  30 divide by .5 is eqaul to 15 becasue it is half

and 60+15=75

Answer:

75 is the anwer

PLS HELP ASAP PLSSS IT DETECTS IF ITS RIGHT OR WRONG HELPPP

Answers

Answer:

B

Step-by-step explanation:

which orders paid is a solution is the equation y= 4x + 9

Answers

Note: you did not add the answer options, so I am solving this question generally to solve your query, which anyways would clear your concept.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

[tex]y= 4x + 9[/tex]

All we need is to find any random value of 'x' and then solve for 'y'.

For example, putting x=2

[tex]y= 4x + 9[/tex]

[tex]y=4(2)+9[/tex]

[tex]y=8+9[/tex]

[tex]y=17[/tex]

Thus, (2, 17) is one of the many ordered pairs solutions of the equation.

Similarly, putting x=3

[tex]y= 4x + 9[/tex]

[tex]y=4(3)+9[/tex]

[tex]y=12+9[/tex]

[tex]y=21[/tex]

Thus, (3, 21) is one of the many ordered pairs solutions of the equation.

Find the equation of the line in slope intercept form that is perpendicular to the line y= 2x -3 and that contains the point (1,-2)

Answers

Answer:

[tex]y=-\frac{1}{2} x-\frac{3}{2}[/tex]

Step-by-step explanation:

Two planes travel at a constant speed. Plane A travels 2,700 miles in 5 hours. Plane B travels 3,815 miles in 7 hours. Which plane is faster?

Answers

Answer:

Plane B is faster

Step-by-step explanation:

PLEASE HELP, WILL MARK BRAINLIEST

25−(3x+5)=2(x+8)+x

Answers

Answer:

x = 2/3

Step-by-step explanation:

Simplify the expression. Give your answer using only positive exponents. Please look at the screenshot!

Answers

Answer:

2\((x^5)(3))

Step-by-step explanation:

What is the range of the function
f(x) = = 3x + 2 in the domain -2

Answers

Answer:

The range is:

{-4, 1, 2, 5, 8}

Step-by-step explanation:

Given the function

[tex]f(x)=3x+2[/tex]

We know that the domain of a function is the set of input or argument values for which the function is real and defined.

As the domain interval -2 ≤ x ≤ 2

i.e. the values in the domain = {-2, -1, 0, 1, 2}

We also know that the range of a function is the set of values of the dependent variable for which a function is defined.

As the domain interval -2 ≤ x ≤ 2

Putting all the x-values in the domain interval in the function

so

putting x=-2 in the function

[tex]f(x)=3x+2[/tex]

[tex]f(-2)=3(-2)+2=-6+2=-4[/tex]

putting x=-1 in the function

[tex]f(x)=3x+2[/tex]

[tex]f(-1)=3(-1)+2=-3+2=1[/tex]

putting x=0 in the function

[tex]f(x)=3x+2[/tex]

[tex]f(0)=3(0)+2=0+2=2[/tex]

putting x=1 in the function

[tex]f(x)=3x+2[/tex]

[tex]f(1)=3(1)+2=3+2=5[/tex]

putting x=2 in the function

[tex]f(x)=3x+2[/tex]

[tex]f(2)=3(2)+2=6+2=8[/tex]

Thus, when we put the domain values, the corresponding range values are:

x           y

-2         -4

-1           1

0           2

1             5

2            8

Therefore, the range is:

{-4, 1, 2, 5, 8}

Zoe invested $16,000 in an account paying an interest rate of 3.6% compounded
quarterly. Assuming no deposits or withdrawals are made, how much money, to the
nearest hundred dollars, would be in the account after 20 years?

Answers

Answer:

Its 32800

Step-by-step explanation:

Leo gathered data about the weight, in pounds of his suitcase when it was packed for trips lasting different numbers of nights. the data he gathered is organized in the table. (PLEASE ANSWER FOR REAL!!! NO BS LIKE RANDOM LETTERS OR IDK!)

Nights (x) 2, 3, 4, 5, 6
Weight (y) 17, 22, 26, 30, 35​

Answers

Answer:

y=4.4x+8.4

Step-by-step explanation:

A line contains two distinct points, C and D. Select each correct statement,
Points C and D determine one unique line,
There are infinitely many points between points C and D.
The distance from C to D is equal to the distance from D to C.
O Any line segment that contains point C must also contain point D.

Answers

Answer:

We have a line that passes through points C and D.

a) Points C and D determine one unique line

This is true, there is only one line that passes through a given pair of points, then we can call this line as  "Line CD".

b) There are infinitely many points between points C and D.

This is also true, if we define the points with real numbers in R^2, we will have a dense set, which means that between C and D we can find infinite points.

c) The distance from C to D is equal to the distance from D to C.

Also true, the distance between two points C = (cx, cy) and D = (dx, dy) is defined as:

D = √( (cx - dx)^2 + (cy - dy)^2)

And because we have squares, this will be exactly the same as:

D = √( (dx - cx)^2 + (dy - cy)^2)

Then the distance from C to D, is exactly the same as the distanco from D to C.

d) Any line segment that contains point C must also contain point D.

This is false, we can define infinite segments where the endpoint is C, and does not pass through point D (some examples are given in the image below) So this is the only false option.

-2²-3(-2)+7

I think it’s 17 but idk

Answers

Answer:

9

−2^2−(3)(−2)+7

=−4−(3)(−2)+7

=−4−(−6)+7

=2+7

=9

Kevin graphed the inequality x > 1.

A number line going from negative 3 to positive 5. A closed circle is at 1. Everything to the right of the circle is shaded.

What mistake did Kevin make? Explain.

.

Answers

Answer:

Sample: Kevin should have used an open circle on 1, not a closed circle. The closed circle means that 1 is included in the solution set, but the inequality is x > 1, so 1 is not part of the solution.

Mistake done by Kelvin is he  used closed circle at 1 where inequality x > 1 which excludes 1.

What is open and closed circles?

" Closed circle represents that the value is included in the given range while that of open circle represents given number is not included."

According to the question,

Graph of inequality x > 1 represents all values greater 1 excluding 1.

Number line represents -3 to 5.

A closed circle at 1 means 1 is included.

As per the condition  of inequality x > 1 , 1 is excluded while in closed circle 1 is included both are contradictory conditions.

Hence, mistake done by Kelvin is he  used closed circle at 1 where inequality x > 1 which excludes 1.

Learn more about open and closed circles here

https://brainly.com/question/12803998

#SPJ2

plz help i’m not smart

Answers

Answer:

C.

Step-by-step explanation:

Answer:

C: For sure

Step-by-step explanation:

anyone wanna help me out please? I will be givin out brainliest!! Thanks

Answers

Answer:

62

Step-by-step explanation:

please mark me as brainliest

PLEASE HELP ME!!!!
What is the domain and range of the relation shown in the table?

Answers

Answer:

the answer is c

Step-by-step explanation:

good luck

Answer:

last option

Domain: -3,-1,2,5    Range: 0,2,4

It may be the one above it but you have to be careful because it might say that 0 is a real number or it is not. Fair warning!

Step-by-step explanation:

The domain is the x values and the range is the y values.

Hope this helps!

20 POINTS the perimeter of a semicircular disc whose diameter is 28 cm.

Answers

87.96 cm

I hope this helped out! Have a nice day :)

Answer:

87.96 cm

Step-by-step explanation:

I had this answer up but it got deleted for sum reason....

solve - 3-5 = 15?
Devide each by -3-5
Multiply each by -3-5
multiply each side by -3-5

Answers

Answer:

OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOooooooooooooOOOOOOOOOOOOOOOOOOOOOFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffFFFFFFFFFFFFFFfffffffffffff

Step-by-step explanation:

You did the same thing to me

New car is purchased for $20,700 the value of the car depreciates at 11% per year what will the value of the car be after 11 years

Answers

Answer:

18423

Step-by-step explanation: 18423 (I think this is correct. Sorry if this didn't help.)

HELP PLEASE!!! I NEED HELP ASAP!!!

Answers

Answer:

d

Step-by-step explanation:

please show work
Write the point-slope form of the equation of the line through the given points.
3) through: (4,5) and (0,2)

Answers

Answer:

y - 5 = 3/4 (x - 4) so A

Step-by-step explanation:

It's would be A because the original equation is Y - Y1 = m (X - X1)

Since a coordinate is (x, y) the Y1 = 5 and the X1 = 4

If you plug those in the equation, it will give you y - 5 = m(x - 4)

Now, to figure out the slope, you have to know how you get can to the points (4, 5) from (0, 2). Slope is change in y / change in x. so to get from 0 to 4 for x, you add 4, and 2 to 5 for y, you add 3. Meaning the slope is 3/4. The m in the equation is the slope, so if you plugin the slope, the equation would be

y - 5 = 3/4 (x - 4)

Please help asap!! I will mark you as brainliest :)

Answers

B is the correct answer.

add and reduce to lowest terms: 1 2/3+ 2 3/7 I need help ASAP

Answers

Answer:

The answer is 4 2/21

Step-by-step explanation:

Answer: 4 4/21

Step-by-step explanation: 1 2/3=1 14/21. 2 3/7=2 9/21

Pls help!!! Fastttttttttttttttt

Answers

Answer:

a

Step-by-step explanation:

that shows

0+4.5=4.5-2.5=2

Its A. None of the other ones look like its from 4.5 - 2.5.

Please help me!!!!!! I really neeeeeeed

Answers

Answer:

A-(x+4,y-5)

B- move 1 unit left and 7 units down

Step-by-step explanation:

A- 4 units right is x so

(x+4,y__)

5 units down is y so

(x+4,y-5)

B- move 1 unit left and 7 units down

because (x-1,y__) is going left because of the subtraction sign and its the x-coordinate, and (x-1,y-7) is down because its a Y-coordinate and sub so its going down.

TIP- Going left/down is always subtract/negative going right/up is positive/addition.

Timed math PLEASE HELP 8th GRADE HELPPPPPPP

Answers

Answer:

John's and Amber's wages are proportional to time. John's unit rate it $9 per hour. Amber's unit rate is $8 per hour

Step-by-step explanation:

The table(johns) shows this because he earns $9 more for every extra hour he works. this makes the unit rate $9 an hour.

The graph(ambers) shows that her pay increases at a steady rate, hitting a multiple of 8 every hour. This makes the unit rate $8 an hour.

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