Answer:
k>1.25
Step-by-step explanation:
The given quadratic equation is :
(k – 1)x² + x + 1 = 0
We need to find all values of k for which the above equation has two real and unequal roots.
For a quadratic equation ax²+bx+c=0, for real and unequal roots,
b²-4ac>0
Here, a = (k-1), b = 1 and c = 1
Put all the values,
1²-4×(k-1)1>0
1-4k+4>0
5-4k>0
k>1.25
S, k can take values more than 1.25. Hence, it can take values 1.5, 1.75.
In the graphing tool, move the sliders for y=k(square root of x) and y= (square root of kx). Find a value of k where the graphs coincide. At what value of k does this occur? What happens to each of the equations when k is negative?
1+1+1+1+1++1+1++1+1+1+1+1+1+1
will mark brainliest
Answer:
(x, y) = (-2,-5)
Step-by-step explanation:
Multiply the first equation by 3,and multiply the second equation by 1.
3(3x+y=−11)
1(4x−3y=7)
Becomes:
9x+3y=−33
4x−3y=7
Add these equations to eliminate y:
13x=−26
Then solve13x=−26for x:
13x=−26
13x
13
=
−26
13
(Divide both sides by 13)
x=−2
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
3x+y=−11
Substitute−2forxin3x+y=−11:
(3)(−2)+y=−11
y−6=−11(Simplify both sides of the equation)
y−6+6=−11+6(Add 6 to both sides)
y=−5
Answer:
x=−2 and y=−5
you and your friend start biking to opposite directions from the same point. You travel 108 feet every 8 seconds. Your friend travels 63 feet every 6 seconds. a) how far apart are you and your friend after 15 minutes? b) after 20 minutes you take a 5- minutes rest, but your friend does not. How far apart are you and your friend after 40 minutes? Explain your reasoning.
Answer:
To find your distance apart, you can convert 15 minutes to seconds because that is what the rate is given in.
15 mins x 60 seconds = 900 seconds.
Step-by-step explanation:
In 900 seconds, there are 900/8=112.5 groups of 8 seconds. This means there are 112.5 groups of 108 feet.
112.5 x 108 = 12150 feet
12150 feet/5280 feet is approximately 2.3 miles.
For your friend you take 900/6 = 150 groups of 6 seconds.
150 x 63 = 9540 feet
9540 feet/5280 feet = 1.79 miles
1.79 miles + 2.3 miles = 2.09 miles
You and your friend are about 2.09 miles apart after 15 minutes.
B). If you go 2.3 miles every 15 minutes, that means you travel about 0.77 miles every 5 minutes. If you travel 20 more minutes (40-15-5) that would be 0.77x 4=3.07 miles more
3.07 + 2.3 = 5.37 miles after 40 minutes (you).
Your friend travels 1.79 in 15 minutes, so 1.79/3 = 0.6 miles every 5 minutes
0.6 x 5 (5 x 5 = 25 minutes)= 3 miles
1.79 + 3 miles= 4.79 miles (friend)
4.79 + 5.37 = 10.16 miles
You and your friend are about 10.16 miles apart after 40 minutes.
Suppose that the logons to a computer network follow a Poisson process with an average of 3 logons per minute. (a) What is the mean time between logons (in minutes)
Answer:
The mean time between logons is of 0.3333 minutes.
Step-by-step explanation:
Poisson process with an average of 3 logons per minute.
This means that the time between logons follows an exponential distribution, which mean is given by:
[tex]E(X) = \frac{1}{\lambda}[/tex]
For this question, we have that [tex]\lambda = 3[/tex], and thus:
[tex]E(X) = \frac{1}{\lambda} = \frac{1}{3} = 0.3333[/tex]
The mean time between logons is of 0.3333 minutes.
Find the distance between A(-3, 2) and B(5, -1).
which term in the quotient of this expression contains an error?
Answer:
The + 78 :- it should be + 60.
Step-by-step explanation:
Long division:-
x - 3 )4x^4 - 6x^3 + 0x^2 + 6x + 3 ( 4x^3 + 6x^2 + 18x + 60 <--- Quotient.
4x^4 - 12x^3
6x^3 + 0x^2
6x^2 - 18x^2
18x^2 + 6x
18x^2 - 54x
60x + 3
60x - 180
183
the average of three numbers is 6. the average of the first and second is 7, what is the value of the third number?
Answer:
4
Step-by-step explanation:
the sum of the first two numbers is 7*2=14 and the sum of the three numbers is 6*3=18 then you subtract the answers giving you 4
A production plant cost-control engineer is responsible for cost reduction. One of the costly items in his plant is the amount of water used by the production facilities each month. He decided to investigate water usage by collecting seventeen observations orn his plant's water usage and other variables
Variable Description
Temperature Average monthly temperate (F)
Production Amount of production (pounds)
Days Number of plant operating days in the month
Persons Number of persons on the monthly plant payroll
Water Monthly water usage (gallons)
The output is shown below Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.876 0.767 0.689 17 ANOVA cance F Regression Residual Total 4 12 16 2448834.0 612208.5 743797.5 61983.1 192631.5 9.88 0.0009 Coefficients 6360.34 13.87 0.21 126.69 21.82 Standard Error 1314.39 5.16 0.05 48.02 7.28 t Stat P-value 4.84 0.0004 .69 0.0197 .65 0.0006 2.64 0.0216 .00 0.0112 Lower 95% 3496.5 Upper 95% 9224.15 25.11 0.31 22.06 5.95 Lower 95.0% 3496.52 2.63 0.11 231.32 37.69 uper 95.0% 9224.15 25.11 0.31 22.06 5.95 Intercept Temperature Production 2.63 0.11 -231.32 37.69 Persons
What is a, the standard error of the estimate? Include 2 decimal places.
Answer:
248.96
Step-by-step explanation:
From this regression output we have the MS Residual or mean squared error to be equal to 61983.1
the question requires us to find the standard error of the estimate. The standard error of the estimate can be gotten by finding the square root of the MSE.
[tex]\sqrt{61983.1}[/tex]
= 248.96
the standard error of the estimate = 248.96
thank you!
My wife and I are Racing around a 400m track going opposite directions. I am running at 8 m/s and she has a head start of 50 meters running at 5 m/s, how long does it take for us to reach the same point ? Explain.
Answer:
They both meet after 27 s.
Step-by-step explanation:
Length of track = 400 m
speed of man, v = 8 m/s
speed of woman, v' = 5 m/s
Woman is 50 m ahead of man.
Let the time taken to meet is t.
Let the man covered a distance d in time t o the woman covered a distance 400 - 50- d.
[tex]\frac{d}{8}=\frac{400-50-d}{5}\\\\5 d = 8 (350-d)\\\\13 d = 2800\\\\d = 215.4 m[/tex]
The time taken is
[tex]t=\frac{215.4}8}\\\\\\t=27 s[/tex]
Are the triangles congruent? Why or why not?
Answer:
ffffffssssssssssssssssscv
Step-by-step explanation:
I’ll mark brainliest
Answer:
[tex]\text{A. }y=1.30x+1.50[/tex]
Step-by-step explanation:
The two ringtones will cost her a total of [tex]0.75\cdot 2=1.50[/tex] and is a fixed amount. The relationship between the cost and number of songs only is [tex]y=1.30x[/tex] and therefore the answer is [tex]\boxed{\text{A. }y=1.30x+1.50}[/tex]. You can also directly find the answer by finding the y-intercept (in this case [tex]1.50[/tex]), as no other answer choices include the term [tex]1.50[/tex], so A must be the correct answer.
for the function g defined above, a is a constant and g(4) = 8 what is the value of g(-4)
Answer:
-8
Step-by-step explanation:
g(4)=8
8÷4=2
g=2
g(-4)=2(-4)
=(-8)
holp it can help you.
Will mark Brainlest help plsssss
Answer:
Step-by-step explanation:
f(0) = [tex]0^{3} +1=1[/tex]
f(-2)= [tex](-2)^{3} +1=-7[/tex]
f(x+1) = [tex](x+1)^{3} +1=x^{3} +3x^{2} +3x+2[/tex]
Can I get help with this?
9514 1404 393
Answer:
y +3 = 1/5x
Step-by-step explanation:
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
You have y-intercept point (0, -3) and slope -1/5, so the equation is ...
y -(-3) = -1/5(x -0)
y +3 = -1/5x
Determine whether the events are independent.Numbers are written on slips of paper in a hat; one person pulls out a slip of paper without replacing it, then a second person pulls out a slip of paper.Independent Not independent
Answer:
Not independent
Explanation:
Two events are not independent/dependent if the result of one event affects the outcome of the other. In the case above, numbers are picked without replacement, therefore if one slip is picked then the other slip will be picked(slips are picked only once not twice or more as in independent events). Events would be independent if there was a replacement.
Solve the following system of equations with the substitution method.
{x+y=25
y=4x
(x,y)=( , )
Answer:
(5,20)
Step-by-step explanation:
x+y=25
If you substitute y=4x,
x+4x=25
Now add like terms
5x=25
Divide 5
x=5
Put it back into the equation
5+y=25
Subtract 5
y=20
Answer: (5,20)
Which drink has more sugar per fluid ounce? 50 POINTS
I’ll mark brainliest
Answer:
A.) y = -7/4x - 7
Step-by-step explanation:
The line's slope is -7/4 and its y-intercept is located at the point (0, -7).
types of circle geometry concepts
Answer:
Circle basic concepts: Chords, arcs, tangents, cyclic quadrilateral, angle subtended by a chord and secant of a circle with examples and exercise. Contents are, Definition of a circle.
If three workers can paint a room in two hours and approximately how long does it take for workers to paint the same room assume the time needed to paint the room is inversely proportional to the number of workers
Answer:
The time taken by the four workers to paint the room is 1.5 hours.
Step-by-step explanation:
3 workers can paint a room in 2 hours
So, 1 worker can paint the same room in 6 hours.
Now the number of workers is 4.
So, the time in which the 4 workers can paint the same room is
= 6/4 = 1.5 hours
libreng puntoss
yeeah
PA BRAINLIEST
The distance from place A to place B is 100 yards. What is this distance in terms of feet?
A. 100 ft.
B. 200 ft.
C. 250 ft.
D. 300 ft.
Answer:
D
Step-by-step explanation:
one yard is 3 feet
100x3=300
Help me asap!!pleaseeee
Answer:
a
Step-by-step explanation:
yes
in the parallelogram below x=?
Answer:
20
Step-by-step explanation:
In a parallelogram diagonals bisect each other.
[tex] \therefore \: 6x - 57 = 3x + 3 \\ \\ \therefore \: 6x - 3x = 57 + 3 \\ \\ \therefore \: 3x = 60 \\ \\ \therefore \: x = \frac{60}{30} \\ \\ \therefore \: x = 20[/tex]
Which answer choice is equivalent to the expression below?
–7(2+n) + (-9-6n)
0 -17-9
O
-14-12
0 11+5n
14 + 2n
Answer:
the answer would be -13n-23
Step-by-step explanation:
first you want to distribute the brackets
-7(2+n) = -14-7n
+(-9-6n)
-9-6n
-14-7n-9-6n
combine the n value with an n value and an integer that doesn't have an n value
-7n-6n-14-9
= -13n-23
Dan's car depreciates at a rate of 7% per year.
By what percentage has Dan's car depreciated after 6 years?
Give your answer to the nearest percent.
Answer:
20%
Step-by-step explanation:
Given that
The car is depreciated at a rate of 7% per year
We need to find out the percentage when the car is depreciated after 6 years
So,
Since the car is depreciated by 7% so we can say it can be 0.93 times in a year
Now after 6 years, it would make
= 0.93^3
= 0.80
So, the percentage is
= 1 - 0.80
= 0.20
= 20%
find the value of x. round to the nearest tenth. 9,4, x
Answer:
Not sure what you mean here, is this a table? If so, you need to provide the y value or a screenshot!
Answer:
24.6° (nearest tenth) .
I need help with #4. Please help. I have to show all work so please explain
9514 1404 393
Answer:
5
Step-by-step explanation:
Use the distance formula.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((4 -0)²+(3 -0)²) = √(4² +3²) = √(16 +9) = √25
d = 5
The distance between the two points is 5 units.
_____
Additional comment
The most commonly seen Pythagorean triples are (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) and their multiples.
In problem 4, once you see that the differences of the coordinates are 3 and 4, you can consult your memory of the (3, 4, 5) Pythagorean triple to recognize the hypotenuse length of a triangle with sides 3 and 4 is 5.
Similarly, in problem 5, you recognize the coordinate differences as 5 and 12, so you know from the (5, 12, 13) Pythagorean triple that the distance will be 13.
3,-30,300,-3000 is it geometric or not geometric if so whats the common ratio r=?
Step-by-step explanation:
everything can be found in the picture
There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag. What is the probability that you will randomly draw either a red or a blue marble?
20%
6.7%
52%
32%
Answer:
52%
Step-by-step explanation:
There is a total of 25 marbles in the bag. 13 of them consist of red and blue marbles.
13 / 25 = 0.52 or 52%