The function Q(x)=2x^2-kx+18. For what value of k does Q(x) have one distinct real solution? (NEEDS TO BE DONE WITHIN 2 HOURS!)

Answers

Answer 1

Answer:

k = 12

Step-by-step explanation:

Given:

The equation [tex]Q(x)=2x^2-kx+18[/tex]

To find:

Value of [tex]k = ?[/tex] for which the given equation has one distinct real solution.

Solution:

The given equation is a quadratic equation.

There are always two solutions of a quadratic equation.

For the equation: [tex]ax^{2} +bx+c=0[/tex] to have one distinct solution:

[tex]b^2 - 4ac = 0[/tex]

Here,

a = 2,

b = -k and

c = 18

Putting the values, we get:

[tex](-k)^2 - 4\times 2\times 18 = 0\\\Rightarrow k^2 = 18\times 8\\\Rightarrow k^2 =144\\\Rightarrow k = 12[/tex]

The equation becomes:

[tex]Q(x)=2x^2-12x+18[/tex]

And the one root is:

[tex]2(x^2-6x+9 ) = 0\\\Rightarrow 2(x-3)^2=0\\\Rightarrow x = 3[/tex]


Related Questions

What is the solution of StartRoot x + 2 EndRoot minus 15 = negative 3?

I couldnt find a solution for this on here so Ill post it :)
Its A: x=142

Answers

Answer:

142!!!!

Step-by-step explanation:

Just got 100 on edge! Love you, you are doing amazing keep going!

Answer:

A

Step-by-step explanation:

Jake is traveling 13 mph in his boat. After 4 hours, how far will he have traveled?

Answers

65 miles is what he traveled

Answer:

Step-by-step explanation: First create an equation. So it'll be...

M(h)=13h    (M= Miles & H = Hours)

Plug in the 4 where the h is at so...

M(4) = 13(4)

So then multiply 13 by 4 and you get 52.

So the answer is..

At 4 hours Jake would have traveled 52 miles.

or the equation is

M(4) = 52

Daniel can paint a house in 10 days, while his father can paint the same house in 6 days. If they work together, how long will they finish the job? I need asap answer plssss

Answers

Answer:

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

Step-by-step explanation:

Let the amount of work be x.

Daniel:

10 days = x

1 day = [tex]\frac{1}{10}[/tex]x

Father:

6 days = x

1 day = [tex]\frac{1}{6}[/tex]x

Together:

1 day = [tex]\frac{1}{10}[/tex]x + [tex]\frac{1}{6}[/tex]x

        = [tex]\frac{6}{60}[/tex]x + [tex]\frac{10}{60}[/tex]x

        = [tex]\frac{16}{60}[/tex]x

        = [tex]\frac{4}{15}[/tex]x

No. of days = [tex]\frac{15}{15}[/tex]x ÷ [tex]\frac{4}{15}[/tex]x

                   = [tex]\frac{15}{15}[/tex]x × [tex]\frac{15}{4}[/tex]x

                   = [tex]\frac{225}{60}[/tex]

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

“I am a good student” is an example of a positive self-talk statement.
true or false
It doesn’t matter how much sleep you get before the night of a big test.
true or false

Answers

Answer:

true

Step-by-step explanation:

Answer:The first one is true and the second one is false

Step-by-step explanation:

PLEASE HELP!! ILL HIVE BRAINLIEST IF ITS RIGHT!

Answers

Answer:

This would be Helium(He)

Step-by-step explanation:

Its Helium because the bohr model in the picture has 2 electrons.

On the periodic table, it says that Helium has 2 protons which are also equal to electrons

Answer:

The answer is (He) also known as Helium!

Neeeeeeeeeeeeeeeeed heeeeeeeeeeeeeeeeelp!!!!!!!!!!!!!!!!!!!!!!!!
Which expression is equivalent to 8 - (6r + 2)
-6r + 6
2r + 2
6r + 10
-6r + 10

Answers

Answer: -6r + 6

Hope this helps :)

Answer:

-6r + 6

Step-by-step explanation:

Right answer please

Calculate (3.012 x 10−8) + (4 x 10−8).

3.016 x 10−16
7.012 x 10−16
7.012 x 10−8
7.012 x 20−8

Answers

Answer: 7.012 x 10−8 ==> Option 3

Step-by-step explanation:

(3.012 x 10−8) + (4 x 10−8)=

(3.012+4) x 10−8=

(3.012+4.000) x 10−8=7.012 x 10−8 ==> Option 3

Calculating the expression (3.012 x 10−8) + (4 x 10−8) is 7.012 x 10^(-8).

How to calculate (3.012 x 10−8) + (4 x 10−8).

To calculate (3.012 x 10^(-8)) + (4 x 10^(-8)), we can add the numbers as follows:

(3.012 x 10^(-8)) + (4 x 10^(-8)) = (3.012 + 4) x 10^(-8) = 7.012 x 10^(-8)

So, the correct answer is 7.012 x 10^(-8).

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Simplify the Polynomial and please show your work so I can do more on my own.
(btw ! will stand for rise to the power)
5xyx!3 + 7yxx!3 - 5x!2x!3 - 5x!2zx. + 3zx!3

Answers

Answer:

no

Step-by-step explanation:

Translate the sentence into an equation.

Six less than the product of 7 and a number is equal to 2.

Use the variable x for the unknown number.

Answers

Answer:

6 < 7 * x = 2

Step-by-step explanation:

Sakhi burns 4,350 calories hiking 15 miles of the Appalachian Trail. How many calories does he burn each mile?

Answers

Answer: He burns 290 calories each mile!

Step-by-step explanation: He burned a total of 4350 calories so all you have to do is divide 4350 by 15 which is 290 calories!

Answer:

290 calories burned per mile

Step-by-step explanation:

Just divide 4,350 by 15 to get the number of calories per mile.

4,350 / 15 = 290

I hope this helps!

what is 9 1/2 + 12 find the value

Answers

Answer:

21 1/2

Step-by-step explanation:

Owen is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Owen will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie. Owen's songs were played on 4 more commercials than movies, and his total earnings on the royalties from all commercials and movies was $770. Determine the number of commercials and the number of movies on which Owen's songs were played.

Answers

Answer:

His songs were played 4 times in a commercial, and 3 times in a movie.

Step-by-step explanation:

Let x represent the number of times his songs were played in a commercial, and y represent the number of times his songs were played in a movie.

Since we know Owen's songs were played on 4 more commercials than in movies, we can write the expression

x = y + 4

Owen gets $50 every time one of his songs is played in a commercial and $140 every time one of his songs is played in a movie, so we can add these numbers into the equation below.

140y + 50x = $770

We can use the equation two lines above and substitute it into this equation so it now becomes:

140y + 50(y +4) = 770

Now we operate the equation so it becomes:

140y + 50y + 200 = 770

Now we reduce and add like terms.

190y = 770 - 200 = 570

190y = 570

570 / 190 = 3 (3 movies)

x = y + 4 = 7

y = 3

x = 3 + 4 = 7

So therefore Owen's songs were played 4 times in a commercial (x), and 3 times in a movie. (y)

Hope this helps.

Please help!! I need help.

Answers

Answer:

14, 3, 5, 6.25, 10

Step-by-step explanation:

The scale is 1 inch = 0.5 ft.

Either divide the inches by 2 or multiply the feet by 2

Answer:

couch)14

chair)3

lamp)5

bed)6.25

table)10

Step-by-step explanation:

so, the whole question basically asks you to convert the units back and forth, (its very similar to the conversion of currency) & There are many ways to do this, ill show one of the methods, if u don't understand then i can show u another way....

ill do the first two-

COUCH-

1 inch: 0.5 ft

x inch:7ft  { x is the missing value ((model length of couch)) }

Now cross multiply

0.5x=7*1

x=7/0.5

x=14 inches

CHAIR-

1 inch: 0.5 ft

6 inch: x

Do the same step -Cross multiply

1x=0.5*6

x=3/1

x=3

9+(-4)+(9)+4+8 with additive inverse​

Answers

Answer:

26

Step-by-step explanation:

This becomes 9-4+9+4+8=26

C. Aunt Beth bought 1 3/8 yards of blue ribbon
and 1/2 yards of green ribbon. How much
more blue ribbon was bought?

Answers

7/8 yards more blue ribbon was bought

How much more blue ribbon was bought?

The given parameters are

Blue ribbon = 1 3/8 yards

Green ribbon = 1/2 yards

The amount of excess ribbon that is blue is

Excess = Blue ribbon - Green ribbon

So, we have

Excess = 1 3/8 yards - 1/2 yards

Evaluate the difference

Excess = 7/8 yards

Hence, 7/8 yards more blue ribbon was bought

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What is the unknown number that makes the equation true?
44 x 32 =
+ 120 + 80 + 8 (3 points)
1,200
1.100
800
700

Marked !

Answers

Answer: 1,200
Explanation: 44 x 32= 1,408
120+80+8=208
1,408-208=1,200.

There are 56 students in a school play. The ratio of boys to girls is 3:5. How many girls are in the school play?

Answers

Answer:

35 girls

Step-by-step explanation:

First add the ratios together ( 3+5) this will give you 8. Then divide the total number of students by 8, this will get you 7. Now multiply 7 to 3 and multiply 7 to 5. As the ratio of boy to girl is 3 to 5, to find how many girls are in the school play we multiply 7 to 5. This makes 35 girls.

If you want to check, 7 x 3 =21 boys and 7 x 5=35 girls. 35 +21= 56 (the total number of students).

Is x = 2 a solution of the equation 8 - 5x = 3?*
(5 Points)
O Yes
O No

Answers

Answer:

No sir

Step-by-step explanation:

first you will try to get x  by its self.

so were it says  -5x = 3 you wanna do

                          +5    +5 on both sides to cancel out 5 so that would be

                             X =  8  because -5 + 5 is 0 which in this case will be left with X

 you already have 8 so x = 8  

Hopefully this helps

The regular price of an electric scooter is $290. It is on
sale for 20% off. Sales tax is 7%. What is the cost of the
electric scooter after the discount and sales tax are
applied?
$232.00
$294.06
$310.30
$248.24

Answers

Answer:

The cost of the  electric scooter after the discount and

sales tax will be: $248.24

Step-by-step explanation:

The regular price of an electric scooter = $290

Discount = 20%

The discount price =  20% × 290

                                = 20/100 × 290

                                = $58

The price after the discount = $290 - $58 = $232

Sales tax = 7%

Sales tax amount = 7% × 232

                         = 7/100 × 232

                         = $16.24

The cost after the discount and sales tax = $232 + $16.24

                                                                      = $248.24

Thus, the cost of the  electric scooter after the discount and

sales tax will be: $248.24

What is 800 rounded to the nearest ten

Answers

Answer:

800

Step-by-step explanation:

800...................................

Wich is the best approximation of the square root of 51

Answers

Answer:

the square root of 51 is 7.14142842854 so the most logical answer would be D

Hope this helps!

what is the slope and y-intercept

Answers

Answer:

slope = 2

y int = -4

Step-by-step explanation:

4x - 2y > 8

8 <  4x - 2y

/-2

-4 < -2x + y

2x - 4 < y

slope = 2

y int = -4

(I'm not sure if it is right sorry! hope this helps!)

Divide: 464 : 46
Help me

Answers

Answer:

10.0

Step-by-step explanation: 464:46

please help me asap!!!!

Answers

Answer:

i think it means to just plot j at -6 on the x axis and 1 up on y axis

Answer:

Step-by-step explanation:

J has coordinates ( 6, 1) when reflected over the x-axis

(x, y) reflected over x-axis becomes ( x, -y)

J' has the coordinates ( 6, -1)

GUYS PLEASE I REALLY NEED HELP IM NOT ABLE TO SPEND TIME WITH MY FAMILY WHILE THEIR HERE PLEASE:(:(:(

Answers

I’m sorry for you bro hope things get better

Any help here please I don’t understand these math problems.

Answers

1. b= 1
m= 5/1
3. b= 2
m= 2/3
4. B= 5
m= -3/1
sooooo always remember Y=Mx + B and mx is slope x, and b is y-intercept.
for the second one you can make the -5 a +-5

15 in
The perimeter of this regular hexagon is
A)
15 inches.
B)
21 inches.
72 inches
D)
90 inches.

Answers

Answer:

a 100000000000000000000% i hope

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

15 times the six sides of the hexagon

help plzz i'll give brainliest istg but don't use for points cuz its annoying

Answers

Answer:

124

Step-by-step explanation:

Answer:

the correct answer is a. 124°

Step-by-step explanation:

:::::::::

Area of a circle of the diameter is 9.5

Answers

Answer:

A = 70.88 units squared assuming that you're using the value pi

Step-by-step explanation:

Answer:

70.91 ansStep-by-step explanation:=22/7×(4.75)^2=22/7× 22.5

=496.37 /7=70.91 answer

please follow me and thanks for my answer

20 POINTS!!

two lines are cut by a transversal such that a pair of alternate interior angles are right angles. are the two lines parallel? explain

​PLEASE ANSWER ​

Answers

When two parallel lines are cut by a transversal, the alternate interior angles are always equal. This is a property that is only true for parallel lines.

When non-parallel lines are cut by another line, the alternate interior angles are not equal.

Step-by-step explanation:

You are given a pair of alternate interior angles which are both right angles and are formed by a transversal line cutting two lines. That means the pair of angles are congruent.

Use the Alternate Interior Angles Theorem and by that those two lines must be parallel.

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