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]
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.
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.
Wich is the best approximation of the square root of 51
Answer:
the square root of 51 is 7.14142842854 so the most logical answer would be D
Hope this helps!
9+(-4)+(9)+4+8 with additive inverse
Answer:
26
Step-by-step explanation:
This becomes 9-4+9+4+8=26
Divide: 464 : 46
Help me
Answer:
10.0
Step-by-step explanation: 464:46
Any help here please I don’t understand these math problems.
Sakhi burns 4,350 calories hiking 15 miles of the Appalachian Trail. How many calories does he burn each mile?
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!
Area of a circle of the diameter is 9.5
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 answerPlease help!! I need help.
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
what is 9 1/2 + 12 find the value
Answer:
21 1/2
Step-by-step explanation:
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 !
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
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]
please help me asap!!!!
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)
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.
Answer:
6 < 7 * x = 2
Step-by-step explanation:
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?
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).
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
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:
GUYS PLEASE I REALLY NEED HELP IM NOT ABLE TO SPEND TIME WITH MY FAMILY WHILE THEIR HERE PLEASE:(:(:(
Neeeeeeeeeeeeeeeeed heeeeeeeeeeeeeeeeelp!!!!!!!!!!!!!!!!!!!!!!!!
Which expression is equivalent to 8 - (6r + 2)
-6r + 6
2r + 2
6r + 10
-6r + 10
Answer: -6r + 6
Hope this helps :)
Answer:
-6r + 6
Step-by-step explanation:
What is 800 rounded to the nearest ten
Answer:
800
Step-by-step explanation:
help plzz i'll give brainliest istg but don't use for points cuz its annoying
Answer:
124
Step-by-step explanation:
Answer:
the correct answer is a. 124°
Step-by-step explanation:
:::::::::
Jake is traveling 13 mph in his boat. After 4 hours, how far will he have 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
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
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.
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
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
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
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).
Learn more about expression at https://brainly.com/question/30350742
#SPJ3
what is the slope and y-intercept
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!)
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?
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
Read more about fractions at
https://brainly.com/question/2929160
#SPJ1
15 in
The perimeter of this regular hexagon is
A)
15 inches.
B)
21 inches.
72 inches
D)
90 inches.
Answer:
a 100000000000000000000% i hope
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
15 times the six sides of the hexagon
PLEASE HELP!! ILL HIVE BRAINLIEST IF ITS RIGHT!
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!
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
Answer:
no
Step-by-step explanation:
“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
Answer:
true
Step-by-step explanation:
Answer:The first one is true and the second one is false
Step-by-step explanation:
Is x = 2 a solution of the equation 8 - 5x = 3?*
(5 Points)
O Yes
O No
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