Answer:
k=1/4
Step-by-step explanation:
x² - 5kx+ k=0 ....(1)
suppose 2 roots: a and 4a
(x-a)(x-4a)=0
x² - 5ax + 4a² = 0 ....(2)
compare (1) and (2): -5a = -5k a=k
4a² = k 4a² = a (substitute)
a(4a-1) = 0
a = 0 or a = 1/4 (if a=0 k=0 and x=0 is not the solution)
a = 1/4 k = 1/4
(a₂ = 1/4 * 4 = 1)
Answer:
k = 1/4.
Step-by-step explanation:
Let the roots be r and 4r and using the fact that sum of the roots = -b/a and product = a/c, we have:
r + 4r = -(-5k)
r*4r = k
5r = 5k
4r^2 = k
From the 3rd equation:
r = k, therefore:
4k^2 = k
4k = 1
k = 1/4.
A 12 foot by 8 foot rug covers the hardwood floor of a room. The rug leaves a uniform
strip of bare floor surrounding the rug. If the area of the room is twice the area of the
rug, what is the equation you will use to solve for x?
Answer: 2(12 × 8)
Step-by-step explanation:
The area of the rug will be gotten by multiplying the length by its width. This will be:
= 12 foot × 8 foot
= 96feet²
Since the area of the room is twice the area of the rug, the equation you will use to solve for x will be:
= 2(12 × 8)
= 2(96)
= 192feet²
Find the probability that the pitcher will throw exactly 4 pitches to a batter.
Answer:
well if we are going by pattern them possibly 20 or 30 im sorry if its wrong i just need more info on how i should answer it
Step-by-step explanation:
Write the equation of the line in slope-intercept form that passes through the point (2,-5) and
has slope of -1
Answer:
y=-x-3
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=-1(x-2)
y+5=-(x-2)
y+5=-x+2
y=-x+2-5
y=-x-3
Find the sum of the first 39 terms of the following series, to the nearest integer. 2 , 7 , 12 , . . .
Answer:
let'ssssssssss gooooooooooooooooooooooooooooooooooooooooooooooooo
Step-by-step explanation:
Answer:
3783
Step-by-step explanation:
0/5 + 1/5 2/5 3/5 4/5 5/5
Answer:
24/625
Step-by-step explanation:
decimal form is 0.0384
what is is value of f(8)
Answer:
Wouldn't it just be 8?
Step-by-step explanation:
f(8)
8f^1-1
8f^0
8x1
8
a(n+y)=10t+32 solve for y
Step-by-step explanation:
a(n+y) = 10t + 32
n+ y = (10t + 32)/a
y = ((10t+32) /a) -n
Identify the slope of this graph
please help me !!
Answer:
slope is undefined
Step-by-step explanation:
If the line was horizontal it would be 0 but this is verticle
Answer:
Undefined
Step-by-step explanation:
There's really no equation to this as it is a vertical line.
if it was horizontal it would be 0
but since it is a vertical line you can't really calculate meaning the answer is just undefined.
Which one of the following sets of ordered pairs determines a line whose slope is 4/3? A. (5,-3)(2,3)
B. (3,10) (-3,-2)
C. (3,-5) (-3,-7)
D. (-1,-3) (5,5
Given statement solution is :- The set of ordered pairs (-1, -3) and (5, 5) determine a line with a slope of 4/3, according to the given statement's answer.
To determine the slope of a line given two ordered pairs (x1, y1) and (x2, y2), we use the formula:
slope is equal to y2 - y1 / x2 - x1.
Let's calculate the slopes for each set of ordered pairs:
A. (5, -3) (2, 3)
slope = (3 - (-3)) / (2 - 5)
= 6 / (-3)
= -2
B. (3, 10) (-3, -2)
slope = (-2 - 10) / (-3 - 3)
= -12 / (-6)
= 2
C. (3, -5) (-3, -7)
slope = (-7 - (-5)) / (-3 - 3)
= (-2) / (-6)
= 1/3
D. (-1, -3) (5, 5)
slope = (5 - (-3)) / (5 - (-1))
= 8 / 6
= 4/3
Option D's set of ordered pairs, (-1, -3) and (5, 5), results in a line with a slope of 4/3.
For such more questions on Line Slopes: Identify Correctly
https://brainly.com/question/3493733
#SPJ8
find the perimeter of a figure with the following side lengths: 3x , 5x and 7x ? i need help.
Answer:
15x
Step-by-step explanation:
perimeter is the sum of all sides
3x + 5x + 7x = 15x
Suppose you know the minimum, lower quartile, median, upper quartile, and maximum values for a set of data. Explain how to create a box plot for the data set.
Answer/Step-by-step explanation:
First create a range for the number line. Label the number line. Then plot the minimum, lower quartile, median, upper quartile, and maximum values in this order. Draw a box from the lower quartile to the upper quartile, the line in the middle will go at the median. Now draw the line from the minimum & maximum values to the box.
Answer: First create a range for the number line. Label the number line. Then plot the minimum, lower quartile, median, upper quartile, and maximum values in this order. Draw a box from the lower quartile to the upper quartile, the line in the middle will go at the median. Now draw the line from the minimum & maximum values to the box.
Step-by-step explanation:
The results of a study exhibit response bias. Select the statement that best describes the bias in the study.
There were not enough subjects who chose to respond to a survey that was sent as part of the study.
The interviewer for the study was the boss of the subjects.
The interviewer for the study did not record the responses of the subjects accurately.
* There was a significant amount of people who declined to participate in the study.
Answer:
"The interviewer for the study did not record the responses of the subjects accurately." I believe this is most pertinent. B, or the boss of the subjects, could have been an answer, but if all members associated in the study exhibit the similar level of response bias based upon superior employers, then the study remains somewhat accurate, but C, or inaccurate record of responses, would remain biased entirely.
Step-by-step explanation:
Answer:
It's C on edge.
Step-by-step explanation:
Did assignment.
Which one of this is the best deal? EXPLAIN. No links or you will get reported and you will get your acc deleted
Evaluate the expression for v = 1.
3v =
Answer:
3
Explanation:
If v = 1, then 3v really means 3(1), or 3 · 1
Which equation represents the graphed function?
y = 4x – 2
y = –4x – 2
y = StartFraction one-fourth EndFraction.x – 2
y = – negative StartFraction one-fourth EndFraction.x – 2
Answer:
[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:}\ [/tex]
The graph of the function is the set of all points (x,y) in the plane that satisfies the equation y=f(x) .
The y value of a point where a vertical line intersects a graph represents an output for that input x value.
now,
equation which represents the graphed function is:y =
StartFraction one-fourth EndFraction.x – 2
Answer:
c
Step-by-step explanation:
Compare the functions shown below:
PLEASE HELP ASAP
g(x)
f(x) = 4x − 1 tangent function with y intercept at 0, 2 h(x) = cos(x + 2π)
Using complete sentences, explain which function has the greatest y-intercept.
Step-by-step explanation:
f(x) has the greatest intercept which is 1
Answer:
g(x) has the greatest y-intercept at (0, 2)
f(x) has an intercept at (0, -1)
h(x) has an intercept at (0, 1)
A train is moving at an average speed of 424/4 hm/h. How much distance will it cover in 16/5 hours?
Answer:
339.2hm
Step-by-step explanation:
Can someone explain this step by step please
Answer:
2
Step-by-step explanation:
Since x=-2
-2+3y=4
Add 2 on both sides
3y=6
Divide 3 on both sides
y=2
Answer:
x is equal to -2
the equation is x + 3y = 4
so we substitute the value of 'x' which is -2 in equation x + 3 = 4
Step-by-step explanation:
then we move 3y on left side.
then we add 4 + 2 which is 6.
then it will be, y = 6/3
which is 2
therefore we get y = 2
hope this helps you ☺️☺️
find the size of angle q if it is five times it's supplement
Answer:
q = 150
Step-by-step explanation:
Supplementary angles are angles that form a straight line and have a sum of 180 degrees, e.g. 120 and 60. If its supplement is thirty, and angle q is five times its supplement, it's 150. We know this is correct because 150 + 30 = 180, which is what we need for a supplementary angle.
The Science Club went on a two-day field trip. The first day the members paid $70 for transportation plus
$16 per ticket to the planetarium. The second day they paid $85 for transportation plus $13 per ticket to
the geology museum. Write an expression to represent the total cost in dollars for two days for the
n members of the club.
An expression that represents the total cost in dollars for two days for the n members of the club is given
by
Find the area of the figure.
Hurry please.
The nth term of a sequence is given by 12 - 5n.
Write down the first 3 terms of the sequence.
Answer:
[tex]\bold{a_1=7\,,\quad a_2=2\,,\quad a_3=-3}[/tex]
Step-by-step explanation:
[tex]a_n=12-5n\\\\\\a_1=12-5\cdot1=12-5=7\\\\a_2=12-5\cdot2=12-10=2\\\\a_3=12-5\cdot3=12-15=-3[/tex]
The values StartRoot 12 EndRoot and StartRoot 15 EndRoot are plotted on the number line.
A number line going from 0 to 4. StartRoot 12 EndRoot is to the right of 3, and StartRoot 15 EndRoot is to the right of StartRoot 12 EndRoot.
What is the approximate difference in tenths between StartRoot 12 EndRoot and StartRoot 15 EndRoot?
0.2
0.4
1.5
1.7
Answer:
0.4
Step-by-step explanation: Just did the test
Answer: 0.4
Step-by-step explanation: i hope this helps a shawtay out
What is the value of 2(< = y) + z if2 = 72, y= 24, and 2 = 12?
0741
0228
66
030
Answer:
800
Step-by-step explanation:
Simplify the expression 4(−3b)(+a) +
8ab ÷ 2a × 4a.
please ans briefly
Answer:
4ab
Step-by-step explanation:
4(-3b)(+a)+8ab÷2a×4a
4(-3ab)+8ab÷2a×4a
-12ab+8ab÷2a×4a
-12ab+4b×4a
-12ab+16ab
16ab-12ab = 4ab
The graph shows how the height of a balloon is changing over time.
BALLOON HEIGHT
Height
Time
Which quantity is given by the slope of the line on the graph?
A
the time the balloon stays in the air
B
the rate at which the balloon is rising
С
the final height of the balloon
D
the starting height of the balloon
Answer:
B. The rate at which the balloon is rising.
Step-by-step explanation:
Mathematically speaking, the slope of the line represents the change in dependent variable (Height) divided by the change in independent variable (Time). According to the graph, a postive change in time leads to a positive change in height, meaning that slope is positive. Physically speaking, the slope represents the rate of change at which the height of the ballon is rising.
Hence, correct answer is B.
I’m confused. lol. Pls help
Answer:
(-3,1) dhdjdjdjdjejdhdjehehdhdjddjdjddh
(-3,1)
Need help with this please
Answer:
blurr...
Step-by-step explanation:
can someone please help me
Answer:
the answer is D last option
Step-by-step explanation:
14x12x16
The radius of the circle is 6 inches. What is the area of the shaded sector? Express the answer in terms of Pi. A circle with a radius of 6 inches. The shaded sector has an angle measure of 110 degrees. Recall that Area of the sector = StartFraction n degrees over 360 degrees EndFraction (pi) (r squared). 11 pi inches squared 12 pi inches squared 36 pi inches squared 66 pi inches squared
Answer:
I believe its 11 so sorry if wrong
Step-by-step explanation:
Answer:
11
Step-by-step explanation: