If the equation 9y2 + 6ky + 4 = 0 has equal roots, then the value of k a) ±1 b) ±2 c) ±3 d) ±4
• The equation 9y² + 6ky + 4= 0 has equal roots .
To find :• The value of k.
Solution:• As we know that , For equal roots :
• Discriminant must be equal to zero.
D = b²- 4ac = 0
Here ,
a= 9 , b = 6k , and c = 4 .
=> b²-4ac= 0
=> (6k)² - 4 (9)(4)=0
=> 36k² - 144=0
=> 36k²= 144
=> k²= 144/36
=> k²= 4
=> k = ±2.
Hence ,the option b is correct .
I hope it will help you.
Regards.
Two different linear functions are shown below with two points given from each function Use slope-intercept form Function A has The equation of line A is or point-slope form to find the equation of each.
Linear Function A
Points : (-5, -2), (-5, 7)
Linear Function B
Points : (7, -5), (-2, -5)
Which is true about the following:
1. Function A has...
A: Slope of -7
B: Slope of 0
C: Slope of 9
D: No slope
2. The equation of line A is :
A: X= -5
B: Y= -5
C: X= -2
D Y= 7
Function B has...
A: Slope of -7
B: Slope of 0
C: Slope of 9
D: No slope
The equation of Line B is :
A: X= -5
B: Y= -5
C: X= -2
D: Y= 7
Answer:
This answer is option 1
Step-by-step explanation:
The awnser is No slope,x=-5,A slope of 0,and y=-5
Amber is 11 years younger than Adrianna. The sum of their ages is 17. How old are Amber and
Adrianna?
Amber is
years old and Adrianna is
years old.
PLEASE HELP!!! MATH FINAL
Answer:
He Won 26 Box trolls and 11 Pikachus
Step-by-step explanation:
You subtract 37-11 which would get you 26
Shanika is making a decorative tablecloth for her small circular table. The table has a radius of 40 centimeters and height of 60 centimeters. She wants the tablecloth to hang an even 10 centimeters above ground.
Which design would give Shanika what she wants?
A. a circular piece of cloth with radius of 90 cm
B. a circular piece of cloth with radius of 110 cm
C. a circular piece of cloth with radius of 100 cm
D. a circular piece of cloth with radius of 130 cm
The answer is definatly NOT D. I think that the answer is A.
The design that should give Shanika what she wants is the radius of 90 cm.
Calculation of the design:Since The table has a radius of 40 centimeters and height of 60 centimeters. She wants the tablecloth to hang an even 10 centimeters above ground.
So, the radius is
= 40 + 60 - 10
= 90 cm
Learn more about radius here: https://brainly.com/question/3708862
Last question- please answer this!
A scientist measures the change in the temperature of a chemical solution.
At the start of the experiment, the solution is at a temperature of -12.94°C.
The temperature changes by -1.9°C each hour.
What is the temperature of the solution after 4 hours?
Answer:
Since the temperature is -6 C after 3 hours when rounded to the nearest whole degree we have to do the following
Step-by-step explanation:
Temperatures= -14.96 and 2.9
Subtract to get the value=
Estimate the value to:
3+1=4
Thus, your answer is -7 C
Will mark brainliest if correct!!!
Evaluate 8a + 3b - 10 + c² when a = 2, b = 5, and c = 4.
Answer:
37
Step-by-step explanation:
8(2)+3(5)-10+c^2=37
The data in the table were recorded during an investigation in which a paramecium was placed in a hypertonic salt solution.
A 2-column table labeled Paramecium Contractile Vacuole Contractions has 5 rows. The first column is labeled salt concentration outside paramecium with entries very high, high, medium, low, very low. The second column is labeled contractions per minute with entries 2, 8, 15, 22, 30.
Which statement correctly describes the bars on a bar graph representing the data?
Answer:
B. Line graph
Step-by-step explanation:
got it right on edge :) have a nice day!!
I’m clueless! Can someone explain how to do this question step by step? Thanks! Extra points!! What is the average (arithmetic mean) of 4x + 5, 7x-6, and -8x+2?
Answer:
x+ 1/3 is the average
Step-by-step explanation:
To find the mean, add the terms together and then divide by the number of terms. There are 3 terms
(4x + 5+ 7x-6 + -8x+2)/3
Combine like terms
( 3x+1)/3
x+ 1/3 is the average
Hey guys Vsauce here I am very dum and don't now what 9+10 equals can sum mega mind help a fellow dude out and give me the answer
Answer:
If you want the real answer, its 19.
If you want the meme answer, its 21.
lol
the answer is 19 also don't waste points you might need it
The volume of a pyramid, V, is calculated using the formula V = 1/3AH, where A is the area of the base and
H is the height of the pyramid.
What is the base area of a pyramid with a volume of 72 m3 and A height of 12m?
Answer:
Step-by-step explanation:
V=(1/3)(B)(h)
multiply both sides by 3
3V=Bh
divide both sides by B
3V/B=h
Answer:
rearranged foruma: V3/H
base area:
A=18m^2
Step-by-step explanation:
PLEASE HELP!!
Choose yes or No to tell whether the expressions are equivalent.
(4^3)^3 and 4^3 • 4^3
(3^4)^4 and 3^8 • 3^8
6^4 • 3^4 and 18^8
4^3 • 5^3 and 20^ 3
Answer:
no
yes
no
yes
Step-by-step explanation:
20 points!!
(5x-19)^2 < (x-23)^2
please someone help me with this inequality :c
Answer:
[tex]x (-1,7)[/tex]
Step-by-step explanation:
We need to square a binomial.
The following rule is applied:
[tex](5x)^2+2*5x(-19)+(-19)^2<x^2+2x(-23)+(-23)^2[/tex]
In our example,
[tex]A^2+2AB+B^2=(A+B)^2[/tex]
A is equal to 5x,
B is equal to -19 and
N is equal to 2.
[tex]5^2*x^2-2*5x*19+19^2<x^2x-23+23^2[/tex]
will 20,40,30 form a right triangle
Answer:
Yes
Step-by-step explanation:
Because it is equal to 90
Answer:
accutally the answer is no i had the same thing
Step-by-step explanation:
PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!
Square TUVW with vertices T(-6,1), U(-1,0), V(-2,-5), and W(-7,-4):
(a) Reflection: in the y-axis (b) Translation (x,y) —> (x-5,y+7)
A. (4,7)
B. (-5,7)
C. (1,0)
D. (-4,7)
Answer:
093006570
Step-by-step explanation:
Rut ectjyvtjyhrjtjtj5j6
Mrs. McGuffy is calculating a numerical analysis of the semester exam grades for students in her third period class. She entered the percentage correct on the exam for every student into a calculator and generated the following statistics. Which of these statements cannot be justified using statistics shown in these two calculator screen shots?
a) the range of the scores was 30%
b) the IQR was 8
c) the mean score was less than the median score?
d) the average score was 87%
Answer:
the answer is D
Step-by-step explanation:
the average score was 87%
Write 3.01 repeating as a mixed number.
Answer:
3 1/100
Step-by-step explanation:
Place the decimal number over a power of ten.
6. What would a+c< 100 mean in this situation?|
Answer:
Sum of a and c is less than 100.
Step-by-step explanation:
^
A movie club charges a one-time
membership fee of $30. It allows
members to purchase movies for $7
each. Another club does not charge
a membership fee and sells movies
for $12 each. How many movies
must a member purchase for the
total cost of the two clubs to be the
same? Write an equation, and solve
the equation to determine the
solution.
Answer:
Step-by-step explanation:
Club A charges $30 membership fee and charges $7 for each movie.
You can write this as :
A = 30 + 7m (where m = number of movies)
Club B charges no membership fee and it costs $12 for each movie.
B = 12m
If we want to find how many movies a member must purchase for the total cost of the two clubs to be the same, this means we are trying to solve for "m" (number of movies) when A = B.
30 + 7m = 12m
Now you can just subtract 7m from both sides.
30 = 5m
Divide both sides by 5 to find "m'.
m = 30/5 = 6
Therefore a member must purchase 6 movies
Find the size of unknown angles
Answer:
ok in this diagram we have two triangles the first triangle all angles are unknown the second triangle we have the values of two angles so we will start with the second triangle and as you know angles in a triangle add up to 180° so we will take 35 degrees + 30 degrees and name the unknown angle x is equals to 180 degrees so it will be 65 degrees + x is equals to 180° put the like terms together x will be equal to 180 degrees - 65 degrees it becomes a minus because when a plus crosses the equal sign it becomes - so x is equals to 115° and as you can see in the diagram 115° is vertically opposite z then you can extend the lines so as to understand the diagram better when you extend the lines you find that 35 degrees is equal to angle v so it will be 115 degrees + 35 degrees + x is equals to 180 degrees so 150° + x is equals to 180 degrees put the like times together x is equals to 180 degrees minus 150° x is equals to 30 degrees
Juan's Garage charges $60 per hour plus an evulatation fee of $30. The function to represent the charges f(x)=60x+30, where x represents the number of hours the repairs take. Evaluate f(5.5). Please show you work if you'd would like brainliest!
Answer:
f(5.5) = 360Step-by-step explanation:
function; f(x)=60x+30
where x = 5.5 as a number of hours the repairs take.
find f(5.5)
plugin value of x=5.5 back into the equation:
f(x) = 60x + 30
f(5.5) = 60(5.5) + 30
f(5.5) = 330 + 30
f(5.5) = 360
Step-by-step explanation:
hope this will help you.
Margie order 120 pizzas for the school pizza party one tenth of the pizzas were cheese how many cheese pizzas she ordered
Answer:
12
Step-by-step explanation:
Hope This Helps!
Can someone please help
Answer:
( -1 , 0.5)
Step-by-step explanation:
In the notation "s(x) = ...," what does "s(X)" represent?
ОА.
There is not enough information to answer this question.
OB.
The value of s(x) depends on the value of x, since sis a function of x.
O C.
The value found when sis multiplied by the value x.
D.
The value of x depends on the value of s(x), since x is a function of s.
Answer: B) The value of s(x) depends on the value of x, since s is a function of x.
It's similar to f(x) or g(x) function notation, but now we're using the letter s.
The x is the input of the function. The output is s(x). So that's why s(x) depends on x.
Help, please! ( Thank You! ). Very important!!!
Answer:
Outlier a Magee decree
Step-by-step explanation:
A town has accumulated 4 inches of snow, and the snow depth is increasing by 6 inches every hour. A nearby town has accumulated 10 inches, and the depth is increasing by 3 inches every hour. In about how many hours will the snowfall of the towns be equal?
9514 1404 393
Answer:
2 hours
Step-by-step explanation:
The initial difference in depth is 10-4 = 6 inches. The difference in snowfall rates is 6-3 = 3 inches per hour.
At that rate, the difference in depth will be made up in ...
(6 in)/(3 in/h) = 2 h
In 2 hours the snowfall in the two towns will be equal.
_____
You could write equations for depth, then equate them.
d1 = 4 +6h
d2 = 10 +3h
d1 = d2 . . . . . . . . . . for some value of h the depths will be equal
4 +6h = 10 +3h
h(6 -3) = 10 -4 . . . . . subtract 3h+4 from both sides
h = 6/3 = 2
Snowfall will be equal in 2 hours.
convert 8/3 to a mixed number
============================================
Work Shown:
8/3 = (6+2)/3
8/3 = 6/3 + 2/3
8/3 = 2 + 2/3
8/3 = 2 & 2/3
The whole part is 2. The fractional part is 2/3.
-----------
Another way you could do the problem is to use long division as shown in the diagram below.
The result of the long division is
8/3 = 2 remainder 2
The quotient 2 forms the whole part and the remainder is the numerator of the fractional part 2/3.
So that's another way to get 2 & 2/3
Does this graph show a function?
Answer:
Yes it is a function.
Step-by-step explanation:
B is my answer.
4x10^-6 + 6.8x10^7=