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

What is the equation of this line in slope intercept form? 2x+y=−19

y=−2x−19

y=2x+19

y=2x−19

y=−2x+19

Please help

Answers

Isolate y by subtracting 2x from both sides
Your answer is: y= -2x-19

What is the difference of the fractions? Use the number line to help find the answer. 1 3 5 4 -1 ok -12 -10 8 20 20 000 0 10 12 14 16 18 20 O 19 20 о O 11 20 O 20 19 20​

Answers

Answer: -11/20

Step-by-step explanation:

1/5-3/4= 4/20-15/20= -11/20

Answer:

The answer is -11/20 aka b

Step-by-step explanation:

Is point 25,20 on the line

Answers

Answer:

What Line? it doesnt touch the x or y axis.

Step-by-step explanation:

Question 19
Ellie earns $10.50 per hour as a server working x hours per week. She also earns $8.50 per hour editing poetry for y hours per
week. Ellie needs to make at least $125 to pay her cell phone bill, but she has at most 17 total hours to work per week with
her busy college schedule.
The system of linear inequalities modeling this situation is shown.
10.50x +8.50 y 2 125
x + y 517
Which statement represents a solution to the system of linear inequalities?

Answers

Answer:

what are the statements

Step-by-step explanation:

help me and ill give you like and brainliest

Answers

Answer:constrictive intergers

Step-by-step explanation:

Answer:

[tex]140,141,142,143[/tex]

Step-by-step explanation:

[tex]Let \: x \: be \: the \: lowest \: number .\\ We \: have \: an \: equation:x + (x + 1) + (x + 2) + (x + 3) = 566 \\ \Leftrightarrow 4x + 6 = 566 \\ \Leftrightarrow 4x = 560 \\ \Leftrightarrow x = 140 \\ \Rightarrow 4 \: consecutive \: numbers:140,141,142,143[/tex]

Eric had $15.00 to spend on paints, which sold for $1.14 each. How many jars of paint can he buy?

13

14

15

16

Answers

Answer:

13

Step-by-step explanation:

so you take $15 ÷ $1.14 = 13.15789. so you round it to 13

13 because then it would be 14.82

There are 14 green crayons and 28 red crayons in a bin. What is the ratio of green crayons to red crayons in simplest form?

Answers

Answer:

Green crayons are 1/3 of all the crayons and the red crayons are 2/3 of the crayons. So 1/3rd to 2/3rds

Step-by-step explanation:

14+28=42

14/42=1/3

28/42=2/3

please answer the question below

Answers

Answer:

8 mm

Step-by-step explanation:

It would be 8 mm..... Mark me brainleast please

Which of the following triangles is a unique triangle that could not be
rearranged into a different size or shape?

Answers

Answer:

im pretty sure its option 3

Step-by-step explanation:

its unique

Answer:

Option 2

Step-by-step explanation: Option 2 is the only one with all three angles. this leads to it not being able to change shape without messing this size and angles up.

Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below.

x+ y= 24

3.50x + 5.00y = 97.50

Solve the system of equations. How many 10 oz. boxes were sold?

6
9
12
15

Answers

9514 1404 393

Answer:

  15

Step-by-step explanation:

We see that x represents the number of 10-oz boxes sold. Then y=24-x is the number of 16-oz boxes sold. Substituting for y in the second equation gives ...

  3.50x +5.00(24 -x) = 97.50

  -1.50x +120 = 97.50

  22.50 = 1.50x . . . . . . . add 1.50x -97.50

  15 = x . . . . . . . . . . . . . . divide by 1.50

15 10-oz boxes were sold.

Answer:

The answer is D) 15 on edge

(have a nice day and brainiest pls)

Step-by-step explanation:

solve for x please ​

Answers

Answer:

129

Step-by-step explanation:

The sum of all angles in any quadrilateral is 360°

so, you can make the following equation:

71 + 48 + 112 + x = 360

231 + x = 360

Subtract 231 from both sides of the equation

231 + x - 231 = 360 - 231

x = 360 - 231

x = 129

129°

Step-by-step explanation:

The given image is a trapezium. A trapezium is a quadilateral. Hence , it's sum of angles is 360°

To solve for x ;

[tex]71° + 48° + 112 ° + x° = 360° \\ 231 + x = 360 \\ x = 360 - 231 \\ x = 129[/tex]

A turtle walks of a mile in 40 minutes. What is the unit rate when the turtles speed is expressed in miles per hour (60 minutes)? (needs to be a denominator)

Answers

Answer:

1.5 miles per hour.

Step-by-step explanation: Because is a turtle walks a mile in 40 minutes then half of that is 20 or half a mile which that 40 minutes plus 20 minutes is 60 minutes.

Arun's restaurant bill is $58, and he wants to leave the waiter an 18 percent tip. What will Arun's total be?

Answers

Answer:

47.56 $

Step-by-step explanation:

I plugged it in my calc

$68.44
58/100=.58x18=10.44+58=68.44

What is the common ratio:The sequence 200, 100, 50, 25, ... has a common ratio of___

Answers

Answer:

answerr is This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by

1

2

gives the next term. In other words,

a

n

=

a

1

r

n

1

.

Geometric Sequence:

r

=

1

2

This is the form of a geometric sequence.

a

n

=

a

1

r

n

1

Substitute in the values of

a

1

=

200

and

r

=

1

2

.

a

n

=

(

200

)

(

1

2

)

n

1

Simplify the expression.

Tap for more steps...

a

n

=

200

1

2

n

1

Combine

200

and

1

2

n

1

.

a

n

=

200

2

n

1

The common ratio is 1/2.

Given that

The sequence 200, 100, 50, 25.

How to find the common ratio?

The common ratio is determined by dividing the second term by the first term.

[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}[/tex]

Here, the second term is 100 and the first term is 200.

Then,

The common ratio is;

[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{100}{200}[/tex]

[tex]\rm Common \ ratio = \dfrac{1}{2}[/tex]

The common ratio between third term 50 and second term 100 is;

[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{50}{100}\\\\\rm Common \ ratio = \dfrac{1}{2}[/tex]

Hence, the common ratio is 1/2.

To know more about the Common ratio click the link given below.

https://brainly.com/question/13162487

division problem help pls

Answers

Answer: B. D. E. F.

Step-by-step explanation:

A car factory is able to produce 120 cars per day. A new technology innovation improves the production by 10%. How many cars can the factory now produce in 5 days?

Answers

660
Explanation
120x1.1=132
132x5= 660

Brianna is getting materials for a chemistry experiment. Her teacher gives her a container that has 0.25 liter of a liquid in it. Brianna needs to use 0.4 of this liquid for the experiment. How much liquid will Brianna use?

Answers

Answer: 0.1 liter

Step-by-step explanation:

From the question, we are informed that Brianna teacher gives her a container that has 0.25 liter of a liquid in it and she needs to use 0.4 of this liquid for the experiment.

The amount of liquid that Brianna will use will be:

= 0.4 × 0.25 liters

= 0.1 liter

Write the equation of the line perpendicular to y = -5/2x + 1 that passes through the point (-5, -5).

Answers

Answer:

y = 2/5x - 3

Step-by-step explanation:

First, we have to know what the slope is. Being perpendicular to -5/2, the slope becomes 2/5.

Then, you substitute the slope and given point into the equation to find the y-intercept.

y = 2/5x + b

(-5) = 2/5(-5) + b

(-5) = (-2) + b

b = -3

So, the equation is

y = 2/5x - 3

The equation of the line perpendicular to y = -5/2x + 1 that passes through the point (-5, -5) is y = 2/5x - 3.

We have the Equation,

y= -5/2x + 1

Here, the slope is -5/2.

Since perpendicular line have negative reciprocal of the slope of the given line.

So, the slope of the line perpendicular is 2/5.

Using point-slope form of the equation to find the equation of the perpendicular line.

The point-slope form is given by:

y - y1 = m(x - x1)

Using the point (-5, -5) and the slope 2/5,

y - (-5) = 2/5(x - (-5))

y + 5 = 2/5(x + 5)

y + 5 = 2/5x + 2

y = 2/5x - 3

Therefore, the equation of the line perpendicular to y = -5/2x + 1 that passes through the point (-5, -5) is y = 2/5x - 3.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ6

Bunny works as a furniture salesperson and earns a base salary of $400 per week plus 5.5%n commission on sales. What was bunny's weekly gross salary if her total sales was $3300

Answers

Answer:

4x67€hus de tus nos cos

WILL NAME BRAINLEST ONGGG

Answers

Answer:

yes

Step-by-step explanation:

because they are all faced up and not touching each other

NEED HELP ASAP!!!! please !!!!

Answers

I would help you but there isn’t any questions or picture of the problem you need help with ????

Joaquin is four more than half Marjorie’s age. Marjorie is also 32 less than three times Joaquin’s age.

How old is Marjorie?

Answers

Answer:

She is 40 years of age

Step-by-step explanation:

Let Joaquin age be j

Let Marjorie age be m

From the first part of the question;

j = 4 + m/2

Secondly;

m =3j - 32

Multiply equation i through by 2

2j = 8 + m

m = 2j-8

Equate both m

2j-8 = 3j-32

3j-2j = 32 -8

j = 24

m = 2j-8

m = 2(24)-8

m = 48-8

m = 40

Use the table to find the ratio. Enter the ratio as a fraction in simplest form.


Color of socks
Numberof socks


white
black
blue
brown
3
8
6
3

The ratio of white socks to brown socks is

Answers

The answer is 1/1 or 1

I NEED LOTS OF HELP IF U ANSWER THIS CORRECTLY I WILL GIVE YOU BRAINLYIST PLEASE PLEASE PLEASE ANSWER THIS

Answers

Which question???????????

Solve by using elimination. Express your answer as an ordered pair.

Answers

Answer:

(-2, 0)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-x - 2y = 2

4x - 2y = -8

Step 2: Rewrite Systems

-x - 2y = 2

Multiply both sides by -1:                    x + 2y = -2

Step 3: Redefine Systems

x + 2y = -2

4x - 2y = -8

Step 4: Solve for x

Elimination

Combine equations:                    5x = -10Divide 5 on both sides:                x = -2

Step 5: Solve for y

Define equation:                    4x - 2y = -8Substitute in x:                       4(-2) - 2y = -8Multiply:                                  -8 - 2y = -8Isolate y term:                        -2y = 0Isolate y:                                 y = 0

Greetings again.

The answer is (-2,0)

Explanation:

This one is different from other 2 previous questions. The last and previous 2 questions have positive y for another equation and negative y for another equation which makes them 0 (As y - y = 0)

But this one is different. y-terms both are negative for both equations. If we decide to add -2y and -2y then It'd make -4y which doesn't make 0.

And how are we gonna solve by elimination? That's simple. By multiplying one of the equation by -1.

We can do that, to eliminate y-term out. Choose one equation to multiply. I'll be multiplying -1 in the first equation.

[tex]-x-2y=2[/tex]

Multiply -1 in whole equation.

[tex]-x(-1)-2y(-1)=2(-1)\\x+2y=-2[/tex]

Remind that negative multiply/distribute in negative equal positive always.

And x + 2y = -2 is your new equation from the first equation.

[tex]\left \{ {{x+2y=-2} \atop {4x-2y=-8}} \right.[/tex]

This is our new equations. Then we are able to eliminate y-term.

[tex]5x=-10\\x=-2[/tex]

In case if you forget again, we can simply add/subtract vertically.

x+4x = 5x

2y-2y = 0

-2-8 = -10

That's how we get 5x=-10 and thus x = -2.

We already get x-value, and you know that we need to find the y-value too.

Therefore, substitute x = -2 in any given equations. Less coefficient value, the faster and better.

I'll substitute in -x-2y=2

[tex]-x-2y=2[/tex]

Substitute x = -2 in the equation.

[tex]-(-2)-2y=2\\2-2y=2\\-2y=2-2\\-2y=0\\y=\frac{0}{-2}\\y=0[/tex]

Thus, when x = -2, y = 0. Since you want the answer as ordered pair, then the answer is (-2,0)

A teacher has 600 counters. He keeps 96 counters at his desk and gives the rest to 3 groups of students. The first group of students gets twice as many counters as the second group of students. The third group of students gets four times as many counters as the second group. How many counters did the second group get?

Answers

Answer:

o

Step-by-step explanation:

o

simplify 6 + 15 x 72=

Answers

Answer:

1086

Step-by-step explanation:

BODMASS (Multiplication first, addition after)...

15×72= 1080

1080+6= 1086

hope it helps

Because of PEMDAS, Simplify 15x72 first. That will bring you to 1080. After that we add 6 to the 1080 because you always do Multiplication first. Your answer would be 1086 if you followed PEMDAS correctly.

PEMDAS:

1. Parentheses

2. Exponents

3. Multiplication

4. Division

5. Addition

6. Subtraction

That's the order of operations if you ever want to know what to do first.

how many times can 42 go into 278?

Answers

it can go around 6 times

Answer:

6.61 or 6 times

Step-by-step explanation:

278/42 = 6.61

42 goes into 278 6.61 times.

If you are estimating, 6 is correct.

If you are finding the exact answer, 6.61 is correct.

I hope this helps with your question.

(FREE BRAINLIEST I NEED HELP PLEASE BAIL ME OUT)Find the constant of proportionality in a graph. Be sure to include the units with the value.





Constant of Proportionality =

Answers

Answer:

Fraction form:

[tex]\frac{3}{4}[/tex]

For every 3 dollars, there are 4 cookies

Step-by-step explanation:

To find the constant, find the rise (y-direction) and the run (x-direction). Of the two points on the line, the rise is 3 and the run 4. The constant is rise over run. So, it’s [tex]\frac{3}{4}[/tex]. This means that for every 3 dollars, there are 4 cookies.

Hope this helps! :)

Please help I’ll give you guys brainiest!


Thank youuuuuuu :))

Answers

Answer:

look at graph

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