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.
4x10^-6 + 6.8x10^7=
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
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
10 POINTS
Find intercepts and interpret their meaning.
Assignment
What is the x-intercept?
Answer:
-4
Step-by-step explanation:
The x- intercept is -4 because it is where the line crosses the x-axis.
Can someone please help
Answer:
( -1 , 0.5)
Step-by-step explanation:
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
Determine the percentage of increase/decrease of the following exponential equation.
y = 4(1.75)x
HURRY PLS You are competing in a race. The table shows the times from last year's race. You want your time to be last year's median time with an absolute
deviation of at most 5 minutes. Complete the inequality to represent the time (in minutes) you hope to achieve.
Race times (minutes)
74 65 57 62
63 72 78 58
60 70 68 62
#2: Tell whether the function below is linear or exponential.
y = 4 • 2^x
Answers
O Linear
O Exponential
Answer:
Exponential
Step-by-step explanation:
For this question you need to understand what is a linear function and what is an exponential function.
Linear function is a function where any variable x,y,z has the power of maximum 1 for example
x+y=1
7x+2y=10
1000x+9999y=40000
The numbers look too big but its the same category as linear function because all the variable in the equation are to the power of 1
Whereas, An exponential function is a mathematical function of the following form: [tex]y=a^x[/tex] where x is a variable, and a is a constant called the base of the function. Most commonly exponential functions are involved with mathematical symbol [tex]e[/tex].
So in your question [tex]y=4.2^x[/tex] where x the variable has become the power/degree the fucntion is an exponential function.
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.
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
How many real solutions are in the equation 8-4x=0
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!
Find the distance between the two points in simplest radical form.
n.
(6, -9) and (1,3)
Help?
[tex]\large\underline{\underline{\red{\sf \blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]
Given to points to us are :-
( 6 , -9)( 1 , 3 )Now , we can use Distance Formula , which is :-
[tex]\boxed{\purple{\tt Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}[/tex]
Here ,
x1 = 6 .x2 = 1.y1 = (-9)y2 = 3.→ Substituting the respective values ,
⇒ Distance = √ [ ( 6 - 1)² + ( 3 +9)² ] .
⇒ Distance = √ 5² + 12²
⇒ Distance = √ 25 + 144
⇒ Distance = √ 169 .
⇒ Distance = 13 units .
Hence the distance between two points is 13u.
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.
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
Please help, this is my first time! Here is the question: Maria earned a total of $504 the last two days. She worked 8 hours the first day, 4 hours the second day. How much did Maria earn every hour? Please show how you did it, this is my first time, so please help.
Answer:
$42 per hour
Step-by-step explanation:
Well,
She got $504 in total
8 + 4 = 12 (the total number of hours worked)
To find out how much she earned per hour you'll need to divide.
$504 ÷ 12
which equals $42
Answer:
Maria earned $42 per hour.
Step-by-step explanation:
First, we need to add the total amount of hours she worked.
8 + 4 = 12
Next, we need to divide 504 and 12 to see how much she earned per hour.
504 ÷ 12 = 42.
So, Maria earned $42 per hour.
I hope this helps you! Welcome to Brainly. Good luck and have a great day. :)
"Sonia had band practice 2 _1/3 hours on Saturday and 1_3/4 hours on Monday. How many total
hours did she practice those two days? *
Answer:
3_5/6 hours
Step-by-step explanation:
2_ 1/3 = 2_ 4/12
1_3/4 = 1_6/12
2_4/12 + 1_6/12 = 3_10/12
3_10/12 = 3_5/6
Calculate the distances from the origin to points A(11, –2, –6) and B(–3, 7, –5). Round to the nearest tenth. The distance from the origin to point A is units. The distance from the origin to point B is units. Now determine how much farther from the origin point A is than point B. Round to the nearest tenth. Point A is units farther from the origin than point B.
Answer:
Step-by-step explanation:
A(11, –2, –6) and B(–3, 7, –5) are located away from the origin (0,0,0), the points from the origin to this points is expressed as OB - OA where;
OB is the distance from the origin to the point B
OA is the distance from the origin to the point A
Using the formula for calculating distance between two points
OA = √(z2-z1)²+(y2-y1)²+(x2-x1)²
OA = √(-6-0)²+(-2-0)²+(11-0)²
OA = √(-6)²+(-2)²+(11)²
OA = √36+4+121
OA = √161
OA = 12.688
Similarly;
OB = √(-5-0)²+(7-0)²+(-3-0)²
OA = √(-5)²+(7)²+(-3)²
OA = √25+49+9
OA = √83
OA = 9.110
Distance from the origin to the points = 12.688 - 9.110 = 3.577
Distance from the origin to the points ≈ 3.6 (to the nearest tenth)
Answer:
The distance from the origin to point A is 12.7 units.
The distance from the origin to point B is 9.1 units.
Point A is 3.6 units farther from the origin than point B.
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]
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
Barry and Michael lifted and moved a television that weighed 45 pounds. About how much did the television weigh in kilograms? (1 pound ≈ 0.454 kilograms)
Answer:
I NEED HELP WITH THIS TWO
Step-by-step explanation:
? i need help two
help me I will give brainiest
Answer:
the first one is .... X = - 25/2
the second one is .... X= -3
Step-by-step explanation:
have a nice day!!!
Answer:
the second one is .... X= -3
But the other guy was wrong, the first one is -25/2 not -25/5
Step-by-step explanation:
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!!
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:
The Earth has a mass of about 6 x 1024 kg. Neptune has a mass of 1 x 1026 kg.
How many times bigger is Neptune than Earth?
Give your answer in standard form to the nearest whole number.
Help, please! ( Thank You! ). Very important!!!
Answer:
Outlier a Magee decree
Step-by-step explanation:
Which statement represents the parallel postulate in Euclidean geometry, but not elliptical or spherical geometry?
1 .Through a given point not on a line, there exists no lines parallel to the given line through the given point.
2.Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.
3.Through a given point not on a line, there exists more than one line parallel to the given line through the given point.
4.Through a given point not on a line, there exists exactly three lines parallel to the given line through the given point.
Answer:
2.Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.
Step-by-step explanation:
The object of "Euclidean geometry" (more commonly called "plane geometry") is, in principle, the study of the shapes and properties of natural bodies. However, geometry is not an experimental science since its object is not to study certain aspects of nature but a necessarily arbitrary reproduction of it.
After the definitions, Euclid then poses his famous postulates (his requests), the fifth of which has remained Euclid's postulate, often called axiom (or postulate) of parallels and which was the subject of much research and controversy as to its necessity:
Given two points A and B, there exists a line passing through A and B. Any segment [AB] can be extended into a straight line passing through A and B. For any point A and any point B distinct from A, we can describe a circle with centre A passing through B. The whole right angles are always equal to each other. By a point outside a line, we can draw a parallel and only one to this line.From the above explanation, we could deduce that the correct option is Option 2.
Answer:
The answer is B, Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.
Step-by-step explanation:
i am too unmotivated to do any math even if its easy please help :)
Answer:
40% increase
Step-by-step explanation:
First, find the difference:
161-115=46
Then divide by the past price to get the percent increase:
46/115=.4=40%