Answers
Answer:
11) k = -112) (i) 4, (ii) 6.5Step-by-step explanation:
11. ......................................................
Given equationx² + (k - 1)x - k = 0The roots are equalTo findThe value of kSolutionWhen the roots are equal, the discriminant equals zero
D = 0b² - 4ac = 0Substituting the values and solving for k:
(k - 1)² - 4*1*(-k) = 0k² - 2k + 1 - 4k = 0k² + 2k + 1 = 0(k + 1)² = 0k + 1 = 0k = -112. ......................................................
Given equation2x² - 6x + 1 = 0The roots are α and βTo findThe values of
(i) 2αβ² + 2α²β + 2αβ(ii) α² - 3αβ + β²SolutionThe sum and the product of the roots is:
α + β = - b/a = - ( - 6)/2 = 3αβ = c/a = 1/2(i)
2αβ² + 2α²β + 2αβ =2αβ ( α + β + 1) = 2(1/2)(3 + 1) =1(4) =4(ii)
α² - 3αβ + β² =(α + β)² - 5αβ = 3² - 5(1/2) =9 - 5/2 =6.5Related Questions
What’s the value of y ?
Answers
subtracting 1 from the product of 5 and x gives the same value as adding 10 to the product of 3 and x
Answers
Answer:
x = 11/2
Step-by-step explanation:
We would first put it in an equation
5x - 1 = 10 + 3x
We would first add 1 on both sides
5x = 11 + 3x
Then we subtract 3x on both sides
2x = 11
Divide both sides by 2
x = 11/2
The value of x from the given algebraic statement expression is;
x = 11/2
This is about simple Algebra.
The first expression is that; We are to subtract 1 from the product of 5 and x. This give; 5x - 1The second expression is that we are to add 10 to the product of 3 and x. This gives us; 3x + 10Finally, we are told that the first expression gives the same value as the second expression. This means that they are equal to each other and as such, we have;
5x - 1 = 3x + 10
Let's add 1 to both sides to get;
5x - 1 + 1 = 3x + 10 + 1
⇒ 5x = 3x + 11
Let's subtract 3x from both sides to get;
2x = 11
Divide both sides by 2 to get;
x = 11/2
Read more at; https://brainly.com/question/18358801
Which value of x is in the solution 2|x-3|<4
Answers
Answer:
1 < x < 5
Step-by-step explanation:
Inequalities of the type | x | < a , have solution of the form
- a < x < a
Given
2 | x - 3 | < 4 ( divide both sides by 2 )
| x - 3 | < 2 , then
- 2 < x - 3 < 2 ( add 3 to each interval )
1 < x < 5
How do I write log7t as a base 2 logarithm?
Answers
Given:
The value is [tex]\log_7t[/tex].
To find:
The value as a base 2 logarithm.
Solution:
We know that,
[tex]\log_xy=\dfrac{\log_ay}{\log_ax}[/tex]
where, a is any positive value.
We have,
[tex]\log_7t[/tex]
Using the above property of logarithm, we get
[tex]\log_7t=\dfrac{\log_at}{\log_a7}[/tex]
For a=2,
[tex]\log_7t=\dfrac{\log_2t}{\log_27}[/tex]
Therefore, the given value as a base 2 logarithm can be written as [tex]\dfrac{\log_2t}{\log_27}[/tex].
Answer:
log2t/log2^7
Step-by-step explanation:
(what the other dude said)
An item has listed price of $70. If the sales tax rate is 9%, how much is the sales tax (in dollars)
Answers
Answer:
The final sales tax price is $6.30.
Step-by-step explanation:
We know that the item has a listed price of $70, and it also has a 9% sales tax rate. In order to calculate this amount we need to do some multiplying.
$70 is the full amount of money, or 100%, plus 9% is 109%. To calculate the sales tax, we need to multiply the listed price by the sales tax rate.
70 x 1.09 = 76.3
Now, we must subtract the listed price (or $70), by the sales tax price (or $76.30)
76.3 - 70 = $6.30
Therefore, the final price of the sales tax is $6.30.
Hope this helps! :)
It's due at 11:59PM CST which is around 10 minutes so please take this batch of points and help me out
Answers
I hope it'll be in time hhhhh
Okay yall I’m confused
Answers
Answer:
X-coordinate in the ordered pair (25,30)
Step-by-step explanation:
26 is what percent of 4.16?
Answers
Answer:
26 is 6.25% of 4.16.
Hope this helped
PLSSS HELP ME THIS IS DUE TODAY THE QUESTION IS IN THE SCREENSHOT
Answers
Answer:
b
Step-by-step explanation:
2/7 x (-3/8) i need the answer
Answers
2 * -3 = -6
Multiply bottom
7 * 8 = 56
The answer is -6/56
Simplify = -3/28
Marian se deplaseaza ,cu automobilul,pe autostrada.La ora 10 si 35 minute el se afla la kilometrul 25 .Dupa un interval de timp,la ora 11 si 15 minute,el se afla la kilometrul 100.Calculati :durata deplasarii,distanta parcursa de Marian si viteza medie a acestuia(exprimata in unitati de SI)
Answers
Step-by-step explanation:
If Marian travels, by car, on the highway. At 10 and 35 minutes he is at kilometer 25. After a period of time, at 11 and 15 minutes, he is at kilometer 100.
Total distance covered = 25km + 100km
Total distance covered by Marian = 125km
Total time taken by marian = 10hr 35min + 11hr + 15min
Total time taken by marian = (10+11)hr + (35+15)min
Total time taken by marian = 21hr 50mins
Total time taken by marian = 21 * 50/60 hr
Total time taken by marian (Duration) = 21.833hr
Average speed = Total distance covered/Total time taken
Average speed = 125/21.833
Average speed = 5.725km/hr
Convert to m/s
5.725km/hr = 5.725*1000/3600
5.725km/hr = 5725/3600
5.725km/hr = 1.5903 m/s
Hence the average speed expressed in SI unit is 1.5903 m/s
At the sewing store, Linda bought a bag of mixed buttons. The bag included 70 buttons, of which 30% were large. How many large buttons did Linda get?
Answers
Answer:
21
Step-by-step explanation:
MS Geometry Review:Question 4
Marcelo is making cookies. He uses a circular cookie cutter with a radius of 1.5 inches. What is the
approximate circumference of each cookie?
Select one:
7.07 inches
O
4.71 inches
о
9.42 inches
O
2.36 inches
Answers
Answer:
9.42
Step-by-step explanation:
It is 9.42 because if you multiply the radius by 2 to get diameter you multiply the diameter by 3.14 to get your final answer which is 9.42 :)
A new plasma-screen television has a purchase price of $4410. If the sales tax on this purchase is $264.60, find the sales tax rate.
Answers
Answer:
6.02% or just 6%
Step-by-step explanation:
State the slope (m) and the y-intercept (b)
Answers
I need this please ASAP
Answers
Answer:B vertical
Step-by-step explanation:
he length of a rectangle is five times its width.
If the perimeter of the rectangle is 120m , find its length and width.
Answers
Answer:
w = 10
l = 50
Step-by-step explanation:
Formula of Perimeter: w + w + l + l or 2w + 2l
l = 5w
2l + 2w = 120
2(5w) + 2w = 120
10w + 2w = 120
12w = 120
w = 10
l = 5(10)
l = 50
Check:
2l + 2w = 120
2(50) + 2(10) = 120
100 + 20 = 120
120 = 120
Hope This Helps!
Lets denote our variables as:
x the width of the rectangle5x the length of the rectangleThe formula for the perimeter of a rectangle is P = 2L + 2W, where L is the length of the rectangle and W is the width of the rectangle. We know that the perimeter of the rectangle is 120m, so we can write:
2(x) + 2(5x) = 120
2x + 10x = 120
12x = 120
x = 120/12
x = 10 m → Width of the rectangle
Substituting in the length:
5x = 5(10) = 50 m → Length of the rectangle
The length of the rectangle is 50 m and its width is 10 m.
3X-4 over 14 equals 9 over 10 solve for x
Answers
Answer:
3x-4/14=9/10
You change the subtraction to addition
3x+4/14=9/10
Then you change the fractions to decimals
Step-by-step explanation:
What is the constant of variation in the equation y=3/4x?
Answers
Answer:
3/4 is the answer
Step-by-step explanation:
solve 4x+x+4=8x-3x+4. does the solution, no solution, or infinitely many solutions? if one soultion, write the solution. explain
Answers
compared to last year, the population of Boom Town has increased by 10%. The population is now 6,600. What was the population last year?
Answers
Answer:
60
Step-by-step explanation:
6600 x 10% = 60&$;#;,$:#&#>$
New price / %multiplier = original price
Multiplier = 1 + 10/100 = 1.1
6600 / 1.1 = 6000
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2. It increases into quadrant 1 and goes through (1, 2) and (2, 8). Which functions could represent a reflection over the y-axis of the given function? Check all that apply. g(x) = –One-half(4)x g(x) = 0.5(4)–x g(x) = 2(4)x g(x) = One-half (one-fourth)x g(x) = One-half (one-fourth)–x
Answers
Answer:
B.) D.) ^above
Step-by-step explanation:
Just a trust lol
Answer:
B and D
Step-by-step explanation:
Edge 2022
Please help me with this question :(
Answers
Answer:
Slope is -2.
Step-by-step explanation:
Slope m = [tex]\frac{-1 - 7}{3 - -1}=\frac{-8}{4}=-2[/tex]
-3x^2+12x-8 in vertex form using the completing the square method! ASAP PLEASE WILL MARK U WHATEVER YOU WANT! WORK NEEDED
Answers
Answer:
-3x2 + 12x - 8
Step-by-step explanation:
Equation at the end of step 1
((0 - 3x2) + 12x) - 8
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-3x2 + 12x - 8 = -1 • (3x2 - 12x + 8)
Trying to factor by splitting the middle term
3.2 Factoring 3x2 - 12x + 8
The first term is, 3x2 its coefficient is 3 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is +8
Step-1 : Multiply the coefficient of the first term by the constant 3 • 8 = 24
Step-2 : Find two factors of 24 whose sum equals the coefficient of the middle term, which is -12 .
-24 + -1 = -25
-12 + -2 = -14
-8 + -3 = -11
-6 + -4 = -10
-4 + -6 = -10
-3 + -8 = -11
-2 + -12 = -14
-1 + -24 = -25
1 + 24 = 25
2 + 12 = 14
3 + 8 = 11
4 + 6 = 10
6 + 4 = 10
8 + 3 = 11
12 + 2 = 14
24 + 1 = 25
Answer: y=−3(x−2)^2+4
Step-by-step explanation:
f(x)=-3*x^2+12*x+-8
f(x)=-3*(x^2+-4*x+8/3) ( Factor out )
f(x)=-3*(x^2+-4*x+(-2)^2+-1*(-2)^2+8/3) ( Complete the square )
f(x)=-3*((x+-2)^2+-1*(-2)^2+8/3) ( Use the binomial formula )
f(x)=-3*((x+-2)^2+1*-4/3) ( simplify )
f(x)=-3*(x+-2)^2+4 ( expand )
Question 3 OT 5
What is the simplified fractional equivalent of the terminating decimal 0.25?
A.5/2
B. 1/4
c.2/5
D. 25/100
Answers
Answer:
uhh
Step-by-step explanation:
Is the graph nonlinear or linear??
Answers
Answer: I believe it's nonlinear
Answer:
linear
Step-by-step explanation:
4 1/6x6 simplest form neeeeeeeeeeeeeeeeeeed help plzzzzzzzzzzzz
Answers
Answer:25
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
what is the equation of the graph below?
Answers
Answer:
y = 3x + b
3x is the slope
y = 3x + 1 because 1 is the y intercept
Step-by-step explanation:
Answer:
y = 3x + 1
Step-by-step explanation:
You know the y intercept by looking where the line hits the y axis, which is at (0,1), so you know the "b" of the equation is 1. Then, you do rise over run. If you rise 3 and run 1, you get to another point, so I know the slope is 3/1 or 3.
work out size of x
give reasons for your answers
Answers
Answer:
75 degrees
Step-by-step explanation:
180-105=75 as the angle GH
naturally with that format angle GH=angle AC
so x=75 degrees
A pie company randomly surveys 60 customers to determine which type of pie they would purchase.
The results of the survey are shown.
Favorite Type of Pie
Peach
25%
Apple
331%
Other
20%
Cherry
The company expects to sell 65 cherry pies in March.
Based on the survey results, how many whole peach pies should the company expect to sell in March?
Answers
Answer:
Explained below.
Step-by-step explanation:
Construct the frequency distribution from the percentage distribution as follows:
Favorite Type of Pie Percentage Frequency
Peach 25% 25% of 60 = 15
Apple 31% 31% of 60 = 18.6
Other 20% 20% of 60 = 12
Cherry 24% 24% of 60 = 14.4
TOTAL 100% 60
It is provided that the company expects to sell 65 cherry pies in March.
The total number of people buying pies is:
[tex]\#\text{People buying Cherry pies}=\#\text{People buying pies}\times 0.24\\\\\#\text{People buying pies}=\frac{65}{0.24}\\\\\#\text{People buying pies}=270.833[/tex]
Now compute the number of peach pies should the company expect to sell in March as follows:
[tex]\#\text{Peach pies expected to be sold}=270.833\times 0.25 =67.7\approx 68[/tex]