Determine the value of k so that the solutions of the equation x^2-kx+36=0 are the same value

Answers

Answer 1

The discriminant is calculated and set equal to zero. Thus, we obtain a double root.

             [tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ (-k)^2-4(1)(36)=0\ \Longrightarrow\ k^2=144 } \end{gathered}$}[/tex]

The possible values of the coefficient of the linear term are k₁=12, k₂=-12.


Related Questions

pls help!!!


math

what the value??

--

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ - 25} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ - 1 \times 25} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {i}^{2} \times 25} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 5i[/tex]

so, correct choice is D

Given:

[tex] \sqrt{ - 25} [/tex]

To find:

The equivalent value from the given options.

Solution:

[tex] \sqrt{ - 25} [/tex]

[tex] = \sqrt{ - 1\times 25} [/tex]

[tex] = \sqrt{ {i}^{2} \times 25 } [/tex]

[tex] = 5i[/tex]

Therefore, the correct answer is option D

Calculate the portion of each mix that is peanuts, again expressing your answer as a percent. Which recipe has the greatest concentration of peanuts?

Answers

Answer:

Recipie A has a higher percentage of chocolate chips and Recipie B has a higher percentage of peanuts.

Step-by-step explanation:

Chocolate Chunks:

Recipie A calls for a total of ten cups. So 3 cups of chocolate chips are used in Recipe A. The percentage of chocolate chips in the mix is given by 3/10, which can be written as 30%. Recipie B now has a total of 20 cups. So in Recipe B 5/20, which can be written in percentages as 25%. Recipe C now has a total of 25 cups. So 6 cups of chocolate chips are used in the recipe. The percentage of chocolate chips in the mix is given by 6/25, which can be written as 24 percent. Recipie A has the highest percentage of chocolate chips of the three recipes.

Peanuts:

Recipie A calls for a total of ten cups. So, according to the recipe, A 2 cups are peanuts. The amount of peanuts in the mixture is given by 2/10, which can be written as a percentage of 20%. Recipie B calls for 20 cups. So there are 7 cups of peanuts in the recipe. The percentage of peanuts in the mix is given by 7/20, which can be written as 35%. Recipie C has a total of 25 cups, so there are 7 cups of peanuts in the recipe. The percentage of peanuts in the mix is given by 7/25, which is equivalent to 28 percent in percentages. The recipie b contains the highest percentage of peanuts of the three.

As a result, Recipie A has a higher percentage of chocolate chips and Recipie B has a higher percentage of peanuts.

Scott and Huong each improved their yards by planting daylilies and ivy. They bought their
supplies from the same store. Scott spent $91 on 7 daylilies and 1 pot of ivy. Huong spent $105
on 7 daylilies and 3 pots of ivy. What is the cost of one daylily and the cost of one pot of ivy?

Answers

Answer:

daylilies - $12; ivy - $7

Step-by-step explanation:

one way to answer this question is by using two equations

first write your let statements

let d be daylilies and let i be ivy

7d + i = 91

7d + 3i = 105

then you can subtract the equations

you get -2i = -14

then divide eveything by -2

i = 7

ivy costs $7

lastly plug this into an equation

7d + 7 = 91

7d = 84

d = 12

daylilies cost $12


Which term best describes the expression 5x4y8 ?
O Polynomial
Binomial
O Monomial
O Trinomial

Answers

Answer: Binomial

Step-by-step explanation: There are two variables here, x and y. 5x^4y^8 is a binomial since it involves 2 variables.

Answer:

Monomial

Step-by-step explanation:

A monomial is 1 term. 5x4y8 is one term, and nothing is getting added to it.

in need of help please :)

Answers

Answer:

1) 12/13 or 0.9998

2) 27°

3) a. yes b. no c. yes d. no

4) ? a) b) e) d)

5) ? a. true b. true

Step-by-step explanation:

1. cos= adjacent/hypotenuse

2. sin (63°)= cos (27°)

3. sin = opposite/hypotenuse cos= adjacent/hypotenuse tan= opposite/adjacent

4. not so sure about the answer

5. not so sure about the answer

What is the difference? startfraction 2 x 5 over x squared minus 3 x endfraction minus startfraction 3 x 5 over x cubed minus 9 x endfraction minus startfraction x 1 over x squared minus 9 endfraction startfraction (x 5) (x 2) over x cubed minus 9 x endfraction startfraction (x 5) (x 4) over x cubed minus 9 x endfraction startfraction negative 2 x 11 over x cubed minus 12 x minus 9 endfraction startfraction 3 (x 2) over x squared minus 3 x endfraction

Answers

The difference of the expression [tex]\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}[/tex] is [tex]\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}[/tex]

How to determine the difference?

The expression is given as:

[tex]\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}[/tex]

Factor the denominators of the expressions:

[tex]\frac{2x^5}{x(x - 3)} - \frac{3x^5}{x(x^2 - 9)}[/tex]

Apply the difference of two squares to x² - 9

[tex]\frac{2x^5}{x(x - 3)} - \frac{3x^5}{x(x - 3)(x + 3)}[/tex]

Take LCM

[tex]\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}[/tex]

Hence, the difference of the expression [tex]\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}[/tex] is [tex]\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}[/tex]

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Answer:

A

Step-by-step explanation:

on Edge 2022

Find the sum or type "impossible" [3 -8]+[4 -5 -6]
Algebra 2 (On Acellus)

Answers

The sum of the given expression will be equal to -12.

What is an Algebra?

Algebra is the study of mathematical symbols and the rules for manipulating them in formulas; it is a common thread that runs through practically all of mathematics.

The solution of the given expression will be:-

= [  3  -  8  ]  +  [  4   -  5  -  6  ]

= [  -5  ]  +  [  -7  ]

= [  -12  ]

Therefore the sum of the given expression will be equal to -12.

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Simplify the following expression

-2x^2 + 4 + 5x^2 - 11 - 12x

Show the steps on how to solve this

Answers

Answer:

3x² - 12x - 7

Step-by-step explanation:

Subtract the numberS

-2x²+4+5x²-11 - 12x

-2x²-7+5x² - 12x

Combine like terms

-2x²-7+5x² - 12x

3x²-7-12x

Rearrange terms

3x²-7-12x

3x²-12x-7

Solution

3x² - 12x - 7

Answer:

3x² - 12x - 7

Step-by-step explanation:

-2x² + 4 + 5x² - 11 - 12x3x² - 12x - 7

Find the number that makes the ratio equivalent to 42:35.

Answers

Answer:

6

Step-by-step explanation:

35 divisible by 5, (5*7=35)

42 divisible by 7 (7*6=42)

Answer:

[tex]6:5[/tex]

Step-by-step explanation:

[tex]\dfrac{42}{35}= \dfrac{6 \times 7}{5 \times 7} = \dfrac 65[/tex]

What is the sum of the finite arithmetic
series?
29 + 32 + 35 + 38 + 41 + ... + 59

Answers

The sum of the finite arithmetic series of  26 + 29 + 32 + 35 + 38 + 41 + 44 is 245. Arithmetic series is a sequence of number such that the difference between any term and the previous term is a constant number. When we sum a finite number of terms in the arithmetic series, we get the finite arithmetic series.

The diameter of a circle is 10 ft. Find the circumference to the nearest tenth to the nearest tenth. (Urgent)

Answers

Answer:

31.42ft

Step-by-step explanation:

diameter = 10

radius = diameter ÷ 2

r = 10 ÷ 2

r= 5

Circumference = 2(pie)(r)

= 2(22÷7)(5)

= 31.42ft

Answer:

C ≈ 31.4 ft

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = πd ( d is the diameter ) , then

C = π × 10 = 10π ≈ 31.4 ft ( to the nearest tenth )

is 1 cubic unit. What is the volume of the following figure?
All of the cubes are visible
A. 7 cubic units
B.9 cubic units
C.10 cubic units
D.8 cubic units

Answers

B. 9 cubic units, you just have to count the blocks

18g + 24 write the expression in two other ways.

Answers

1) 6(3g+4)

2) 2(9g+12)

Build a number line to show 4/3

Answers

The number line with the number 4/3 graphed can be seen at the end of the answer.

How to show the number in a number line?

A number line is something that we use to show the order of the numbers.

Here, we want to show the number 4/3.

Notice that we can write this as:

4/3 = 3/3 + 1/3 = 1 + 1/3

So we need to identify the 1 in the number line, and then move 1/3 to the right.  Below you can see a image where the number 4/3 is graphed on the shown number line.

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Last week, Andre had a balance of -$18 in his savings account This week, the balance is $23. Which equation would show the change, sin his account?
A) -18 + c = 23
B) C + 18 = 23
C) C + -18 = -23
D) -18-C = -23​

Answers

A.) -18 + C = 23

23 + 18 = C

41 = C

calculate the volume of a cone whose base radius is 3 and half cm and vertical height 24cm​

Answers

The volume of a cone whose radius is 3 1 / 2 cm and vertical height is 24 cm is 307.72 cm³

Volume of a cone

The volume of a cone can be represented as follows:

volume = 1 / 3 πr²h

where

r = radiush = height

Therefore,

r  = 3 1 / 2 cm = 7 / 2 cm

h = 24 cm

Hence,

volume = 1 / 3 × π  × (7 / 2 )² × 24

volume of a cone = 1 / 3 × π × 49 / 4 × 24

volume of the cone = 1 / 3 × π × 1176 / 4

volume of the cone =  1176 / 12 π

volume of the cone = 98π

volume of the cone =  307.72 cm³

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PLS HELP ASAP FIRST CORRECT ANSWER GETS BRAINLIEST​

Answers

When a shape has 4 inside angles, the sum of the angles need to equal 360 degrees. This shape has 2 90 degree angles.

Angle DAB = 360 - 90-90 -155 = 25

Answer: 25 degrees,

Answer:

I got u, maybe.

In a triangle, all angles add up to 180, so it might be 180, you already got 155.

Step-by-step explanation:

Find the value of x

Answers

Answer:

x = 6

Step-by-step explanation:

(-6, 2), (6, 2), (3, 1), (6, 1)

Select all the irrational numbers

Answers

Answer:

A and E would be your answer

Step-by-step explanation:

All irrational numbers include b and e

Grace is considering purchasing a phone plan. The phone plan
costs $20 per month plus ten cents for each text message sent.
Write and solve an equation to determine how many text
messages were sent if her monthly bill totals $41.10. (5 points - 1
for defining a variable, 1 for correct equation, 1 for work, 1
for answer, 1 for label)

Answers

Answer:

211 text messages

Step-by-step explanation:

20+(m•0.10)=41.10

41.1-20=21.1÷0.1=211

а(-9, -5), b(6, 5), C(-2, 5)

Answers

Answer:

See below

Step-by-step explanation:

Equation: y = [tex]-\frac{2x^2}{21} + \frac{8x}{21} + \frac{43}{7}[/tex]

Slope-intercept form: [tex]y = \frac{2}{3} x + 1[/tex]

Point slope form: [tex]y + 5 = \frac{10}{7} * (x+9)[/tex]

What is a probability if the youngest four members of a 15-member choir being randomly selected for a group of four singers

Answers

Assuming it’s randomly selected, I think it would be 16/225. I think this because the youngest four members are 4 members/15 members, or 4/15. 4/15 members times 4 singers/15 members, or (4/15)(4/15) is equal to 16/225.

Use the following data set to answer question 8:

13, 19, 7, 12, 21, 18, 15 8.

Predict how the mean will change if the 7 is deleted from the data set. Calculate the new mean. Round to the nearest tenth.​

Answers

Answer:

15.1 to nearest tenth.

Step-by-step explanation:

The 7 is the lowest number so the mean would increase if taken away.

New mean = (8 + 12 + 13 + 15 +  18 + 19+21) / 7

= 106 / 7

= 15.14

What is angle M in degrees?

Answers

ABCD = JKLM

A=82
B= 104
C= 121. (same as L)
Total for 3 angles = 307
Total for figure =360
360-307= 53
D= 53

So M=53 degrees

Please someone help me with this

Answers

Answer:Around 14.7 minutes

Step-by-step explanation:

if q= the amount of time, and p=18 you do 12*18 is 216 and radical 216 is 14.6969, (nice). Please let me know if i am inncorrect i am not 100% sure.

5 units to the right of -6 is

Answers

Answer:

-1

Step-by-step explanation:

To solve the problem, it is suggested to use a number line.

~Please look at image attached

We know the following:

If the change is going to the right of the initial point, the change is a positive integer, and the initial point will be added by the change.If the change is going to the left of the initial point, the change is a negative integer and the initial point will be subtracted by the change.

Statement: 5 units to the right of -6.

Therefore, we know the following:

Initial starting point: -6Change: +5

Ending point: -6 + 5 = -1

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Number line:

6cm
5cm
20cm
4cm
5cm
4cm
12cm
6cm
4cm

Answers

Answer:

SA = 788cm^2

Step-by-step explanation:

pink one:

length- 5

width- 6

height- 20

surface area- 500

purple one:

length- 4

width- 6

height- 12

surface area- 288

total surface area:

500 + 288 = 788

SA = 788cm^2

GOOD LUCK!!!! You'll do amazing <3

The total surface area of the composite figure will be 788 cm².

What is surface area?

The total area occupied by an object's surface is referred to as its surface area. Varying 3D forms have different surface areas in geometry, which may be simply estimated using calculations.

The given pink cuboid has :

The length = 5

The width = 6

The height = 20

The surface area of pink cuboid = 500 cm²

The given purple cuboid has :

The length = 6

The width = 4

The height = 12

The surface area of purple cuboid = 288 cm²

Total surface area = The surface area of pink cuboid + The surface area of purple cuboid

Total surface area = 500 + 288 = 788 cm²

SA = 788 cm²

Thus, the total surface area of the composite figure will be 788 cm².

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Carla worked 13 1/4 hours making $9.75 per hour. Daniel earned $10.50 per hour and worked 11 3/4 hours. What was the total amount of money earned?

Answers

Answer:

$252.5625

Step-by-step explanation:

9.75×53/4+10.50×47/4

129.1875+123.375

=252.5625

hope it helpsss

can you mark me as the brainliest?

a steel drum is shaped like a cylinder and it has a height of 3 feet and a base radius of one what is the volume of the steel drum in cubic feet

Answers

If the height of the cylinder is 3 feet and the base radius of the cylinder is 1 foot. Then the volume of the cylinder will be 9.43 cubic feet.

What is a cylinder?

A cylinder is a closed solid with two parallel circular bases and a curving surface connecting them.

A steel drum is shaped like a cylinder and it has a height of 3 feet and a base radius of one.

Then the volume of the cylinder will be

The volume of the cylinder is given as

Volume = πr²h

where r is the radius and h is the height of the cylinder.

We have

h = 3 ft

r = 1 ft

Then the volume of the cylinder will be

Volume = π x 1² x 3

Volume = π x 3

Volume = 9.4247

Volume ≅ 9.43 cubic ft

Then the volume of the cylinder will be 9.43 cubic feet.

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Write a negative function h(x)
with a y-intercept at "-4" with
one solution

Answers

Answer:

[tex]\sf h(x) = y -4[/tex]

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